## Nielit Scientist-B CS 4-12-2016

 Question 1
Palindromes can't be recognized by any Finite State Automata because
 A FSA cannot remember arbitrarily large amount of information B FSA cannot deterministically fix the midpoint C Even if the mid-Point is known an FSA cannot find whether the second half of the matches the first half D All of the above
Theory-of-Computation       Finite-Automata
Question 1 Explanation:
It is the disadvantage or lack of property of a DFA that it cannot remember an arbitrarily such large amount of data which makes it incapable of accepting such languages like palindrome, reversal, etc.
 Question 2
Process of analyzing relation schemas to achieve minimal redundancy and insertion or update anomalies is classified as:
 A normalized of data B denomination of data C isolation of data D denormalized of data
Database-Management-System       Normalization
Question 2 Explanation:
Normalization is a process of organizing the data in database to avoid data redundancy, insertion anomaly, update anomaly & deletion anomaly.
Most commonly used normal forms
First normal form(1NF)
Second normal form(2NF)
Third normal form(3NF)
Boyce & Codd normal form (BCNF)
 Question 3
If L1 is CSL and L2 is regular language which of the following is false?
 A L1-L2 is not context free B L1 intersection L2 is context free C ~L1 is context free D Both (A) and (C)
Theory-of-Computation       Closure-Property
 Question 4

The Circuit is equivalent to:
 A Ex-Or B NAND gate C OR gate D AND gate
Digital-Logic-Design       Logic-Gates
Question 4 Explanation:
Step-1: Here, A we are getting A’ and B we are getting B’. So, A’+B’
Step-2: (A’+B’)’=AB
Step-3: (AB)’=A’+B’
Solution: NAND or NOR but in options they are not given NOR. So, Final result is NAND
 Question 5
Let G be a simple undirected planar graph on 10 vertices with 15 edges. If G is a connected graph, then the number of bounded faces in any embedding of G on the plane is equal to:
 A 3 B 4 C 5 D 6
Engineering-Mathematics       Graph-Theory
Question 5 Explanation:
v - e + f = 2
‘v’ is number of vertices and ‘e’ is number of edges
‘f’ is number of faces including bounded and unbounded
10 - 15 + f = 2
f = 7
There is always one unbounded face, so the number of bounded faces = 6
 Question 6
Which of the following is wrong?
 A Turing machine is a simple mathematical model of general purpose computer B Turing machine is more powerful than finite automata C Turing Machine can be simulated by a general purpose computer D All of these
Theory-of-Computation       Turing-machines
Question 6 Explanation:
● A Turing machine is a mathematical model of computation that defines an abstract machine,which manipulates symbols on a strip of tape according to a table of rules.
● Despite the model's simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm's logic can be constructed.
● The machine operates on an infinite memory tape divided into discrete cells.
● The machine positions its head over a cell and "reads" (scans)the symbol there.
● Then, as per the symbol and its present place in a finite table of user-specified instructions, the machine (i) writes a symbol (e.g., a digit or a letter from a finite alphabet) in the cell (some models allowing symbol erasure or no writing), then (ii) either moves the tape one cell left or right (some models allow no motion, some models move the head), then (iii) (as determined by the observed symbol and the machine's place in the table) either proceeds to a subsequent instruction or halts the computation.
 Question 7
The Knapsack problem belongs to which domain of problems?
 A Optimization B NP complete C Linear Solution D Sorting
Algorithms       0/1-Knapsack-and-fractional-knapsack
Question 7 Explanation:
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible
 Question 8

What will be output if you will compile and execute the following C code?

void main()

{

char c=125;

c=c+10;

printf("%d",c);

}
 A 135 B 115 C -121 D -8
Programming       Compilation
Question 8 Explanation:
As we know any data type shows cyclic properties
In our example the data type is char data type , so if you will increase or decrease the char
variables beyond its maximum or minimum value respectively it will repeat same value
according to following cyclic order
So,
125+1= 126
125+2= 127
125+3=-128
125+4=-127
125+5=-126
125+6=-125
125+7=-124
125+8=-123
125+9=-122
125+10=-121
 Question 9
The first network:
 A ARPANET B NFSNET C CNNET D ASAPNET
Computer-Networks       ARPANET
Question 9 Explanation:
The Advanced Research Projects Agency Network (ARPANET) was an early packet-switching network and the first network to implement the protocol suite TCP/IP. Both technologies became the technical foundation of the Internet.
 Question 10
The noise due to random behavior of charge carriers is:
 A Partition noise B Industrial noise C Shot noise D Flicker noise
Electronics       Shot noise
Question 10 Explanation:
Shot noise is caused due to random behaviour of charge carriers. Shot noise is generated due to random emission of electrons from cathodes in electron tubes. In semiconductor devices, shot noise is generated due to random generation and recombination of electron-hole pairs
 Question 11
A sinusoidal signal is analog signal, because:
 A It can have a number of values between the negative and positive peaks B It is negative for one half cycle C It is positive for one half cycle D it has positive as well as negative values
Digital-Logic-Design       Analog-and-Digital-Signal
Question 11 Explanation:
● Analog signal is a continuous signal and digital signal is a discrete signal.
● A sinusoidal signal is a continuous signal with respect to time.
● Therefore, sinusoidal signal is a analog signal.
 Question 12
The running time of quick sort algorithm depends heavily on the selection of:
 A No. of inputs B Arrangement of elements in an array C Size of elements D Pivot element
Algorithms       Sorting
Question 12 Explanation:
The running time of Quicksort will depend on how balanced the partitions are. If you are unlucky and select the greatest or the smallest element as the pivot, then each partition will separate only one element at a time, so the running time will be similar to Insertion Sort.However, Quicksort will usually pick a pivot that is mid-range, and it will partition the array into two parts.
 Question 13

What will be output if you will compile and execute the following C code?

void main()

{

printf("%d",sizeof(5.2));
}
 A 4 B 8 C 2 D 16
Programming       Compilation
Question 13 Explanation:
Size of is a special operator will return number of bytes of data types. By default system will take integer data type,if we are not specifying any data type. Total size is 4 bytes.
 Question 14
The identification of common sub-expression and replacement of run time computations by compile-time computations is:
 A Local optimization B Constant folding C Loop Optimization D Data flow analysis
Compiler-Design       Code Optimization
Question 14 Explanation:
● Constant folding is the process of recognizing and evaluating constant expressions at compile time rather than computing them at runtime.It can more accurately propagate constants and simultaneously remove dead code
● Global optimization refers to finding the optimal value of a given function among all possible solution whereas local optimization finds the optimal value within the neighboring set of candidate solution.
● Loop optimization is the process of increasing execution speed and reducing the overheads associated with loops. It plays an important role in improving cache performance and making effective use of parallel processing capabilities. Most execution time of a scientific program is spent on loops; as such, many compiler optimization techniques have been developed to make them faster.
● Data-flow analysis is a technique for gathering information about the possible set of values calculated at various points in a computer program.
 Question 15
Which of the following need not be a binary tree?
 A Search tree B Heap C AVL tree D B tree
Data-Structures       Binary-Trees
Question 15 Explanation:
B trees need not be the binary tree. B trees may have more than 2 children. The order of B tree is maximum number of children a node can have.
 Question 16
Two main measures for the efficiency of an algorithm are:
 A Processor and Memory B Complexity and Capacity C Time and Space D Data and Space
Algorithms       Asymptotic-Complexity
Question 16 Explanation:
The complexity of an algorithm is a function describing the efficiency of the algorithm in terms of the amount of data the algorithm must process. Usually there are natural units for the domain and range of this function. There are two main complexity measures of the efficiency of an algorithm:
Time complexity is a function describing the amount of time an algorithm takes in terms of the amount of input to the algorithm. "Time" can mean the number of memory accesses performed, the number of comparisons between integers, the number of times some inner loop is executed, or some other natural unit related to the amount of real time the algorithm will take. We try to keep this idea of time separate from "wall clock" time, since many factors unrelated to the algorithm itself can affect the real time (like the language used, type of computing hardware, proficiency of the programmer, optimization in the compiler, etc.). It turns out that, if we chose the units wisely, all of the other stuff doesn't matter and we can get an independent measure of the efficiency of the algorithm.
Space complexity is a function describing the amount of memory (space) an algorithm takes in terms of the amount of input to the algorithm. We often speak of "extra" memory needed, not counting the memory needed to store the input itself. Again, we use natural (but fixed-length) units to measure this. We can use bytes, but it's easier to use, say, number of integers used, number of fixed-sized structures, etc. Space complexity is sometimes ignored because the space used is minimal and/or obvious, but sometimes it becomes as important an issue as time.
 Question 17
T1 carrier system is used:
 A For delta modulation B Industrial moise C For frequency modulated signals D None of the above
Data-Communication       Carrier-System
Question 17 Explanation:
The T-carrier system, introduced by the Bell System in the U.S. in the 1960s, was the first successful system that supported digitized voice transmission. The original transmission rate (1.544 Mbps) in the T1 line is in common use today in​ Internet service provider (ISP) connections to the Internet. Another level, the T3 line, providing 44.736 Mbps, is also commonly used by Internet service providers.
The T-carrier system is entirely digital, using pulse code modulation (PCM) and time-division multiplexing (TDM). The system uses four wires and provides duplex capability (two wires for receiving and two for sending at the same time). The T1 digital stream consists of 24 64-Kbps channels that are multiplexed.
 Question 18
Which of the following is not defined in a good software requirement specification(SRS) document?
 A Functional requirement B Goals of implementation C Nonfunctional requirement D Algorithm for software implementation
Software-Engineering       Software-requirements
Question 18 Explanation:
The software requirements specification document is a requirements specification for a software system, is a complete description of the behavior of a system to be developed and may include a set of use cases that describe interactions the users will have with the software. In addition it also contains non-functional requirements. Non-functional requirements impose constraints on the design or implementation (such as performance engineering requirements, quality standards, or design constraints)
An SRS document should clearly document the following aspects of a system: Functional Requirements, Non-Functional Requirements and Goals of implementation
 Question 19
Communication between a computer and a keyboard involves __ transmission
 A Simplex B Half Duplex C Automatic D Full Duplex
Computer-Networks       Transmission-Modes
Question 19 Explanation:
● As per the above mentioned details, data flows in only single direction.So it Simplex transmission.
● Half-duplex data transmission means that data can be transmitted in both directions on a signal carrier, but not at the same time
● Full-duplex data transmission means that data can be transmitted in both directions on a signal carrier at the same time
 Question 20
Bluetooth is an example of:
 A Personal area network B Virtual private network C Local area network D None of the above
Computer-Networks       Wifi-Bluetooth
Question 20 Explanation:
A wireless personal area network (WPAN) is a personal area network in which the are wireless. IEEE 802.15 has produced standards for several types of PANs operating in the ISM band including Bluetooth. The Infrared Data Association has produced standards for WPANs which operate using infrared communications.
 Question 21
Let A,B,C,D be nxn matrices, each with non-zero determinant. If ABCD=1, then B(-1) is:
 A D(-1)C(-1)A(-1) B CDA C ADC D Does not necessarily exist
Engineering-Mathematics       Linear-Algebra
Question 21 Explanation:
Given
ABCD = I
Multiply LHS, RHS by A −1
A −1 ABCD = A −1 I (position of A −1 on both sides should be left)
⇒ B CD = A −1
⇒ BCDD −1 = A −1 D −1
⇒ B C = A −1 D −1 ⇒BCC −1 = A −1D −1C −1
⇒ B = A −1 D −1 C −1
⇒ B = A −1 D −1 C −1
Now, B −1 = (A −1 D −1 C −1 )−1
B −1 = C DA
 Question 22
The structure or format of data is called:
 A Syntax B Struct C Semantic D none of the above
Compiler-Design       Basics
Question 22 Explanation:
Semantics defines how a particular pattern to be interpreted, and what action is to be taken based on that interpretation.
 Question 23
A nonpipelined system taken 50ns to process a task. the same task can be processed in a six-segment pipeline with a clock cycle of 10ns. Determinant the speedup ration of the pipeline for 100 tasks. What is the maximum speedup that can be achieved?
 A 4.90,5 B 4.76,5 C 3.90,5 D 4.30,5
Computer-Organization       Pipelining
Question 23 Explanation:
Speed up ratio (S)​ :
It is defined as the speedup of a pipeline processing with respect to the equivalent non-pipeline processing.
S =nt n/(k+n−1)t p
Number of tasks n = 100
For Non-pipeline:
Time taken by non-pipeline to process a task t n = 50ns
Total time taken by non-pipeline to process 100 task = n t n
= 100 × 50
= 5000ns
For Pipeline:
Number of segment pipeline k = 6
Time period of 1 clock cycle t p = 10ns
Total time required to complete n tasks in k segment pipeline with tp clock cycle time:
= ( k + n − 1 )t p
= ( 6 + 100 − 1 )10
= 1050ns
Speed up Ratio:
When total time taken by the pipeline to process 100 tasks is divided by the total time required to complete n tasks in k segment pipeline with t p clock cycle time then speed up ratio is obtained.
S =5000/1050
= 4 .76
 Question 24
Given two DFA's M1 and M2. They are equivalent if:
 A M1 and M2 has the same number of states B M1 and M2 accepts the same language i.e L(M1)=L(M2) C M1 and M2 has the same number of final states D None of the above
Theory-of-Computation       DFA
Question 24 Explanation:
Equivalence of two DFAs:
Two DFAs M1 and M2 over the same alphabet are equivalent if they accept the same language:
L(M1 ) = L(M2 )
 Question 25
A low pass filter is:
 A Passes the frequencies lower than the specified cutoff frequency B Used to recover signal from sampled signal C Rejects higher frequencies D All of the above
Data-Communication       Pass-Filters
Question 25 Explanation:
A low-pass filter (LPF) is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. The exact frequency response of the filter depends on the filter design.
 Question 26
Consider the function f(x)=sin(x) in the interval [​ π ​ /4, 7​ π ​ /4]. The number and location(s) of the minima of this function are:
 A One, at π/2 B One, at 3​ π ​ /2 C Two, at ​ π ​ /2 and 3​ π ​ /2 D Two, at ​ π ​ /4 and 3​ π ​ /2
Engineering-Mathematics       Calculus
Question 26 Explanation:
The local minima is at x =3π/2
This is very obvious from the graph of f (x) = sin x
On a second look at the graph below, I believe x =π/4
is also a local minimum. This is because it is lesser than all other values within its locality.
Thus we have two local minima: x = π /4 , 3π
 Question 27
What is the solution to the recurrence T(n)=T(n/2)+n?
 A O(log n) B O(n) C O(n logn) D None of these
Algorithms       Asymptotic-Complexity
Question 27 Explanation:
The above recurrence is in the form of masters theorem.
a=1,b=2,k=1,p=0
=ak
=O(n)
 Question 28
Which one of the following is NOT necessarily a property of a group?
 A Commutativity B Associativity C Existence of inverse for every element D Existence of identity
Engineering-Mathematics       Set-Theory
Question 28 Explanation:
The axioms (basic rules) for a group are:
1. CLOSURE: If a and b are in the group then a • b is also in the group.
2. ASSOCIATIVITY: If a, b and c are in the group then (a • b) • c = a • (b • c).
3. IDENTITY: There is an element e of the group such that for any element a of the group
a • e = e • a = a.
4. INVERSES: For any element a of the group there is an element a​ -1​ such that ○ a • a​ -1​ = e
and
○ a​ -1​ • a = e
 Question 29
Software requirement Specification(SRS) is also known as specification of:
 A White box testing B Integrated testing C Acceptance testing D Black box testing
Software-Engineering       Software-requirements
Question 29 Explanation:
The system is considered as a black box whose internal details are not known that is, only its visible external (input/output) behavior is documented.
 Question 30
The IOS class member function used for formatting IO is:
 A Width(), precision(), read() B Width(), precision(), setf() C getch(),width(),Io() D unsetf(),setf(),write()
C-Programming       I/O-Functions
Question 30 Explanation:
Table​ : describes the functions of ios class in brief.
 Question 31
Rule which states that addition of same attributes to right side and left side will result in other valid dependency is classified as:
 A referential rule B inferential rule C augmentation rule D reflexive rule
Database-Management-System       Functional-Dependency
Question 31 Explanation:

 Question 32
Line of code(LOC) of the product comes under which type of measures?
 A Indirect measures B Coding C Direct measures D none of the above
Software-Engineering       LOC
Question 32 Explanation:
Source lines of code (SLOC), also known as lines of code (LOC), is a software metric used to measure the size of a computer program by counting the number of lines in the text of the program's source code. SLOC is typically used to predict the amount of effort that will be required to develop a program, as well as to estimate programming productivity or maintainability once the software is produced.
→ It comes under direct measures.
 Question 33
What will be the Excess-3 code for 1001?
 A 1001 B 1010 C 1011 D 1100
Digital-Logic-Design       Number-Systems
Question 33 Explanation:
Excess-3 number starts with 3. Here, 1001 menas decimal number-9. So, we have to add +3.
12 equivalent binary number is 1100.
 Question 34
How many onto(or surjective) functions are there from an n-element(n>=2) set to a 2-element set?
 A 2​ n B 2​ n -1 C 2​ n​ -2 D 2(2​ n​ -2)
Engineering-Mathematics       Set-Theory
Question 34 Explanation:
The number of onto functions from set of m elements to set of n elements, if m>n is
n​ m​ – (2​ n​ – 2)
i.e., 2​ n​ – (2​ 2​ – 2) = 2​ n​ – 2
If there are 'm' elements in set A, 'n' elements in set B then
The number of functions are : n​ m The number of injective or one-one functions are n​ ​ P​ m
The number of surjective functions are:
If m If m>n, then n! * m​ ​ C​ n
Given that m=n, n=2
2! * n​ ​ C​ 2
 Question 35
What will be the final output of D flip-flop, if the input string is 11010011?
 A 1 B 0 C Don't Care D none of Above
Digital-Logic-Design       Sequential-Circuits
Question 35 Explanation:
Step-1: D flip flop is nothing data flip flop. It will return what we are given in input.
Step-2: In this question, the LSB and MSB are 1. So final output is 1.
Note: Here, we don’t know what order they are given input.
 Question 36
The graph that shows basic blocks and their successor relationship is called:
 A DAG B Control graph C Flow graph D Hamiltonian graph
Compiler-Design       Code-Optimization
Question 36 Explanation:
→ Flow graph shows the basic blocks
→ A flow graph is a form of digraph associated with a set of linear algebraic or differential equations.
Definition: "A signal flow graph is a network of nodes (or points) interconnected by directed branches, representing a set of linear algebraic equations. The nodes in a flow graph are used to represent the variables, or parameters, and the connecting branches represent the coefficients relating these variables to one another. The flow graph is associated with a number of simple rules which enable every possible solution [related to the equations] to be obtained."
 Question 37
The principle of locality of reference justifies the use of:
 A Non reusable B Cache memory C Virtual memory D None of the above
Computer-Organization       Cache
Question 37 Explanation:
● Locality of reference, also known as the principle of locality is the tendency of a processor to access the same set of memory locations repetitively over a short period of time.
● There are two basic types of reference locality – temporal and spatial locality.
● Temporal locality refers to the reuse of specific data, and/or resources, within a relatively small time duration.
● Spatial locality refers to the use of data elements within relatively close storage locations.
● Systems that exhibit strong locality of reference are great candidates for performance optimization through the use of techniques such as the caching, pre fetching for memory and advanced branch predictors at the pipe lining stage of a processor core.
 Question 38
What is the testing to ensure the WebApp property interfaces with other applications or databases?
 A Compatibility B Interoperability C Performance D Security
Software-Engineering       Software-testing
Question 38 Explanation:
● Compatibility Testing is a type of Software testing to check whether your software is capable of running on different hardware, operating systems, applications, network environments or Mobile devices.
● Interoperability testing is defined as a software testing type, that checks whether software can interoperate with other software component, software or systems.
● In other words, interoperability testing means to prove that end-to-end functionality between two communicating systems is as required by the standard on which those systems are based.
● Performance testing is in general, a testing practice performed to determine how a system performs in terms of responsiveness and stability under a particular workload.
 Question 39
External Interrupt may not arise because of:
 A illegal or erroneous use of an instruction B a timing devices C external sources D I/O devices
Computer-Organization       Interruption
Question 39 Explanation:
● An external interrupt is a computer system interrupt that happens as a result of outside interference, whether that’s from the user, from peripherals, from other hardware devices or through a network.
● These are different than internal interrupts that happen automatically as the machine reads through program instructions
 Question 40
A top down parser generates:
 A Leftmost derivation B rightmost derivation C Leftmost derivation in reverse D Rightmost derivation in reverse
Compiler-Design       Compilers
Question 40 Explanation:
● When the parser starts constructing the parse tree from the start symbol and then tries to transform the start symbol to the input, it is called top-down parsing.
● Top-down parsing can be viewed as an attempt to find leftmost derivations of an input-stream by searching for parse-trees using a top-down expansion of the given formal grammar rules.
 Question 41
The IETF standard documents are called:
 A RFC B RCF C ID D none of the above
Question 41 Explanation:
● The Internet Engineering Task Force (IETF) is an open standards organization, which develops and promotes voluntary Internet standards, in particular the standards that comprise the Internet protocol suite (TCP/IP).
● A Request for Comments (RFC) is a type of publication from the technology community. RFCs may come from many bodies including from the Internet Engineering Task Force (IETF), the Internet Research Task Force (IRTF), the Internet Architecture Board (IAB) or from independent authors
 Question 42
The maximum number of nodes in a binary tree of level k, k>=1 is:
 A 2​ k​ +1 B 2​ k-1 C 2​ k​ -1 D 2​ k-1​ -1
Data-Structures       Binary-Trees
Question 42 Explanation:
The number of nodes is equal to 2​ k​ -1 where k≥1. So the minimum level is 1.
For example

The minimum number of nodes 2​ 2​ -1=3
 Question 43
Syntax directed translation scheme is desirable because:
 A It is based on the syntax B It is easy to modify C Its description is independent of any implementation D All of these
Compiler-Design       Syntax-Directed-Translation
Question 43 Explanation:
Syntax-directed translation refers to a method of compiler implementation where the source language translation is completely driven by the parser.
A common method of syntax-directed translation is translating a string into a sequence of actions by attaching one such action to each rule of a grammar.
 Question 44
What is described by means DFDs as studied earlier and represented in algebraic form?
 A Data flow B Data storage C Data structures D Data elements
Software-Engineering       DFD
Question 44 Explanation:
● A data flow diagram (DFD) is a way of representing a flow of a data of a process or a system (usually an information system)
● The DFD also provides information about the outputs and inputs of each entity and the process itself.
● A data flow diagram has no control flow, there are no decision rules and no loops. Specific operations based on the data can be represented by a flowchart.
 Question 45
Which will be the equation of simplification of the given K-map?
 A AB' + B'CD' + A'B'C' B AB' + A'B'D' + A'B'C' C B'D' + AB' + B'C' D B'D' + A'B'C' + AB'
Digital-Logic-Design       K-Map
Question 45 Explanation:
From the given K-map,
Last row Mapping gives AB’
In the first row - from the first and first column mapping gives B’C’
In the first row - from the first and last column mapping gives B’D’
. Then the final equation will be AB’+B’C’+B’D’
 Question 46
(00+01+10)(0+1)* represents:
 A Strings not starting with 11 B Strings of odd length C Strings starting with 00 D Strings of even length
Theory-of-Computation       Regular-Expression
Question 46 Explanation:
From the expression we can generate strings with any length (even and odd).So option B and D are incorrect.
We can’t generate strings with only 00, we can generate strings starting with 00, 01 and 10 also, So option C is incorrect.
From the given expression (00+01+10)(0+1)*, we can’t generate strings with 11 , we can generate strings starting with 00, 01 and 10.
 Question 47
If every functional dependency in set E is also in closure of F then this is classified as:
 A FD is covered by E B E is covered by F C F is covered by E D F plus is covered by E
Database-Management-System       Functional-Dependency
Question 47 Explanation:
A covers B, if every FD in B can be inferred from A.
A covers B if A​ + ​ ​ ⊆ B​ + ​ (+ means closure ).
Every set of functional dependencies has a canonical cover.
 Question 48
In which one of the following pages replacement policies, Belady's anomaly may occur?
 A FIFO B LRU C Optimal D MRU
Operating-Systems       Page-Replacement-algorithm
Question 48 Explanation:
● Bélády's anomaly is the phenomenon in which increasing the number of page frames results in an increase in the number of page faults for certain memory access patterns.
● This phenomenon is commonly experienced when using the first-in first-out (FIFO) page replacement algorithm.
● In FIFO, the page fault may or may not increase as the page frames increase, but in Optimal and stack-based algorithms like LRU, as the page frames increase the page fault decreases.
 Question 49
Considering relational database, functional dependency between two attributes A and B is denoted by:
 A A--> B B B<-- A C AB--> R D R<-- AB
Database-Management-System       Functional-Dependency
Question 49 Explanation:
Given a relation R, a set of attributes X in R is said to functionally determine another set of attributes Y, also in R, (written X → Y) if, and only if, each X value in R is associated with precisely one Y value in R; R is then said to satisfy the functional dependency X → Y.
 Question 50
Where does the swap reside?
 A RAM B ROM C DISK D On-chip cache
Computer-Organization       Secondary-Memory
Question 50 Explanation:
●Swap space is an area on disk that temporarily holds a process memory image.
● When memory is full and process needs memory, inactive parts of process are put in swap space of disk.
 Question 51
A process that is based on IPC mechanism which executes on different systems and can communicate with other processes using message based communication is called__
 A Local Procedure call B remote procedure call C Inter Process Communication D Remote Machine Invocation
Operating-Systems       IPC
Question 51 Explanation:
● Remote Procedure Call (RPC) is a protocol that one program can use to request a service from a program located in another computer on a network without having to understand the network's details.
● A procedure call is also sometimes known as a function call or a subroutine call.
● inter-process communication or interprocess communication (IPC) refers specifically to the mechanisms an operating system provides to allow the processes to manage shared data.
● The RMI (Remote Method Invocation) is an API that provides a mechanism to create distributed application in java. The RMI allows an object to invoke methods on an object running in another JVM.
 Question 52
The concept of order Big O is important because:
 A It can be used to decide the best algorithm that solves a given problem B It is the lower bound of the growth rate of algorithm C It determines the maximum size of a problem that can be solved in a given amount of time D Both (A) and (B)
Algorithms       Asymptotic-Complexity
Question 52 Explanation:
● Big O notation is used to classify algorithms according to how their running time or space requirements grow as the input size grows.
● The letter O is used because the growth rate of a function is also referred to as the order of the function.
● A description of a function in terms of big O notation usually only provides an upper bound on the growth rate of the function.
 Question 53
The addressing mode used in an instruction of the form ADD X Y, is___
 A Direct B Absolute C Indirect D Indexed
Question 53 Explanation:
● In direct addressing mode, the offset value is specified directly as part of the instruction, usually indicated by the variable name.
● Indirect addressing is generally used for variables containing several elements like, arrays. Starting address of the array is stored in, say, the EBX register.
● The address of the operand is obtained by adding to the contents of the general register (called index register) a constant value. The number of the index register and the constant value are included in the instruction code. Index Mode is used to access an array whose elements are in successive memory locations.
● An absolute address is represented by the contents of a register. This addressing mode is absolute in the sense that it is not specified relative to the current instruction address.
 Question 54
Process that periodically checks status of an I/O devices, is known as:
 A Cold swapping B I/O instructions C Polling D Dealing
Computer-Organization       Hardware Devices
Question 54 Explanation:
● Polling, or polled operation refers to actively sampling the status of an external device by a client program as a synchronous activity. Polling is most often used in terms of input/output (I/O), and is also referred to as polled I/O or software-driven I/O.
● A cold swap is term used to describe the process of installing, connecting, or disconnecting a hardware device that requires that the computer be turned off during the installation.
 Question 55
The output of lexical analyzer is:
 A A set of regular expressions B Strings of character C Syntax tree D Set of tokens
Compiler-Design       Compilers
Question 55 Explanation:
● Lexical analysis is the first phase of a compiler. It takes the modified source code from language preprocessors that are written in the form of sentences.
● The lexical analyzer breaks these syntaxes into a series of tokens, by removing any whitespace or comments in the source code.
 Question 56
CPU consists of __
 A ALU and Control Unit B ALU, Control Unit and Monitor C ALU, Control Unit and Hard disk D ALU, Control Unit and register
Computer-Organization       Hardware Devices
Question 56 Explanation:
A central processing unit (CPU), also called a central processor or main processor, is the electronic circuitry within a computer that carries out the instructions of a computer program by performing the basic arithmetic, logic, controlling, and input/output (I/O) operations specified by the instructions.
 Question 57
The Decimal equivalent of the Hexadecimal number (A09D)16 is
 A 31845 B 41117 C 41052 D 32546
Digital-Logic-Design       Number-Systems
Question 57 Explanation:
Given Hexadecimal number is ​ (A09D)16
A decimal number is the sum of the digits multiplied with its power of 10.
(A09D)16​ is equal to each digit multiplied with its corresponding power of 16:
Ax16​ 3​ +0x16​ 2​ +9x16​ 1​ +Dx16​ 0​ =(10x4096+144+13x1) [ Where A=10,D=13]
=40960+144+13=41117
 Question 58
The sequence of operation in which PCM is done :
 A Sampling, quantizing, encoding B Quantizing, sampling, encoding C Quantizing, encoding, sampling D None of the above
Data-Communication       PCM
Question 58 Explanation:
● Pulse code modulation (PCM) is a digital scheme for transmitting analog data. The signals in PCM are binary; that is, there are only two possible states, represented by logic 1 (high) and logic 0 (low). This is true no matter how complex the analog waveform happens to be. Using PCM, it is possible to digitize all forms of analog data, including full-motion video, voices, music, telemetry, and virtual reality (VR).
● sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal).
● Quantization in digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements.
● The encoder encodes the quantized samples. Each quantized sample is encoded into an 8-bit code word by using A-law in the encoding process.
 Question 59
consider a system with m resources of same type being shared by n processes. Resources can be requested and release by processes only one at a time. The system is deadlock free if and only if:
 A The sum of all max needs is B the sum of all max needs is >m+n C Both of above D None
Question 59 Explanation:
Suppose N = Sum of all Needi,
A = Sum of all Allocation,
M = Sum of all Maxi.
Prove:
→ Assume this system is not deadlock free. If there exists a deadlock state, then A = m because there's only one kind of resource and resources can be requested and released only one at a time.
→ From condition b, N + A = M < m + n. So we get N + m < m + n. So we get N < n. It shows that at least one process i that Needi = 0. From condition a, Pi can release at least 1 resource.
→ So there are n-1 processes sharing m resources now, condition a and b still hold. Go on the argument, no process will wait permanently, so there's no deadlock.
 Question 60
If there is more than one key for relation schema in DBMS then each key in relation schema is classified as:
 A Primary key B Super key C candidate key D Primary key
Database-Management-System       Functional-Dependency
Question 60 Explanation:
If there is more than one key for relation schema in DBMS then each key in relation schema is classified as candidate key.
→ In the relational model of databases, a candidate key of a relation is a minimal superkey for that relation; that is, a set of attributes such that:
1.The relation does not have two distinct tuples (i.e. rows or records in common database language) with the same values for these attributes (which means that the set of attributes is a superkey)
2.There is no proper subset of these attributes for which (1) holds (which means that the set is minimal).
→ Candidate keys are also variously referred to as primary keys, secondary keys or alternate keys. The constituent attributes are called prime attributes. Conversely, an attribute that does not occur in ANY candidate key is called a non-prime attribute.
→ Since a relation contains no duplicate tuples, the set of all its attributes is a superkey if NULL values are not used. It follows that every relation will have at least one candidate key. The candidate keys of a relation tell us all the possible ways we can identify its tuples. As such they are an important concept for the design of database schema.
There are 60 questions to complete.

## Scientific Assistance 4-12-16

 Question 1
In the following questions choose the word opposite in the meaning to the given word.
Antagonism:
 A Cordiality B Animosity C Hostility D Enmity
Question 1 Explanation:
→ Actual meaning of Antagonism is active hostility or opposition.
→ Antonyms are hostility, enmity, antipathy, dislike, hatred, aggression.
 Question 2
In the following questions choose the word opposite in the meaning to the given word.
Hasten:
 A Dash B Dawdle C Hurry D Scurry
Question 2 Explanation:
→ Hasten meaning is be quick to do something.
→ Antonyms are dally, dawdle, dillydally, drag, hang (around or out), lag, linger, loiter, poke, tarry, amble, lumber, plod, saunter, shuffle, stroll.
 Question 3
In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.
Camouflage:
 A Disguise B Cover C Demonstrate D Fabric
Question 3 Explanation:
→ Camouflage meaning is the disguising of military personnel, equipment, and installations by painting or covering them to make them blend in with their surroundings.
→ Camouflage synonyms are costume, disguise, guise.
 Question 4
In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word.
Yearn:
 A Deny B Accept C Confront D Crave
Question 4 Explanation:
→ Yearn meaning is have an intense feeling of longing for something, typically something that one has lost or been separated from.
→ Yearn synonym is ache, covet, crave, desiderate, desire, die, hanker.
 Question 5
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a magazine. Study the pie-chart and answer the questions based on it.

What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?
 A 15​ 0 B 24​ 0 C 54​ 0 D 48​ 0
Question 5 Explanation:
According to Diagram the circle is in the form of 360°
From that Diagram Expenditure incurred on Royalty is 15%
ஃ 360*(15/100) = 54°
 Question 6
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a magazine. Study the pie-chart and answer the questions based on it.

The price of the magazine is marked 20% above the C.P. If the marked price of the magazine is ₹ 180, then what is the cost of the paper used in a single copy of the magazine?
 A ₹ 36 B ₹ 37.50 C ₹ 42 D ₹ 44.25
Question 6 Explanation:
Let’s C.P = x
M.P = 120 x / 100
From that question M.P of Magazine is = 180/-
Cost of the paper in a single copy = ?
From the above details we have to find out C.P first
180 x = x (120 x / 100)
After solving this
x = 150
Cost of the paper in a single copy
= 150 * (25/100)
= 37.50
 Question 7
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a magazine. Study the pie-chart and answer the questions based on it.

If for a certain quantity of magazine, the publisher has to pay ₹ 30,600 as printing cost, then what will be amount of royalty to be paid for these magazines?
 A ₹ 19,450 B ₹ 21,200 C ₹ 22950 D ₹26,150
Question 7 Explanation:
Printing Cost=30,600/- that means 20% according to Diagram
Royalty cost=x
∴20 % →30,600
15% →x
Do Cross Multiplication
(20/100) * x=30,600 * (15/100)
x=22,950/-
 Question 8
The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a magazine. Study the pie-chart and answer the questions based on it.

Royalty on the magazine is less than the printing cost by:
 A 5% B 33 (1 / 5 ) C 20% D 25%
Question 8 Explanation:
According to Diagram
Printing Cost = 20%
Royalty Cost = 15%
How much percentage royalty cost is less than printing cost
((20-15) / 20 ) * 100 = 50/2 = 25%
 Question 9
The table given here shows production of five types of cars by a company in the year 2010 to 2015. Study the table and answer the questions.

In which year the total production of cars of types P and Q together was equal to the total production of cars of types R and S together?
 A 2011 B 2012 C 2015 D None of the above
Question 9 Explanation:
In this question we have to verify from options, so we can easily find which one is same
P+Q in 2011 -----> 20+10 = 30
R+S in 2011 ------> 17+6 = 23
option A is wrong
P+Q in 2012 ----> 16+14 = 30
R+S in 2012 ----> 16+10 = 26
option B is wrong
P+Q in 2015 ---> 6+14 = 20
R+S in 2015 ---> 31+8 = 39
option C is wrong
So finally option D is correct.
 Question 10
The table given here shows production of five types of cars by a company in the year 2010 to 2015. Study the table and answer the questions.

In which year the production of cars of all types taken together was approximately equal to average during the period?
 A 2010 B 2012 C 2014 D 2015
Question 10 Explanation:
Take the sum of all cars by years = (88+78+90+87+133) = 476
Average during the period = 476/6 = 79.33.
Year 2014 is approximately equal
option C correct.
 Question 11
The table given here shows production of five types of cars by a company in the year 2010 to 2015. Study the table and answer the questions.

The production of which type of cars was 25% of the total production of all types of cars during 2014?
 A S B R C Q D P
Question 11 Explanation:
From that table in 2014 total production of cars was 80.
So,
100% -----> 80
25% ------> x
(25 * 80) / 100 = 20.
From that table 20 cars are from Type S .
 Question 12
1.P,Q,R,S,T and U six members of a family each of them engaged in a different profession Doctor, Lawyer, Teacher, Engineer, Nurse and Manager.
2.Each of them remains at home on a different day of the week from Monday to Saturday.
3.The Lawyer in the family remain at home on Thursday.
4.R remains at home on Tuesday.
5.P, a Doctor, does not remain at home either on Saturday or on Wednesday.
6.S is neither the doctor nor the Teacher and remains at home on Friday,
7.Q is the Engineer and T is the Manager.

Which of the following combinations is correct?
 A Lawyer-Tuesday B Nurse-Friday C Manager-Friday D Engineer-Thursday
Question 12 Explanation:
 Question 13
1.P,Q,R,S,T and U six members of a family each of them engaged in a different profession Doctor, Lawyer, Teacher, Engineer, Nurse and Manager.
2.Each of them remains at home on a different day of the week from Monday to Saturday.
3.The Lawyer in the family remain at home on Thursday.
4.R remains at home on Tuesday.
5.P, a Doctor, does not remain at home either on Saturday or on Wednesday.
6.S is neither the doctor nor the Teacher and remains at home on Friday,
7.Q is the Engineer and T is the Manager.

Which of the following combinations is not correct?
 A R-Teacher B Q-Engineer C T-Manager D S-Lawyer
Question 13 Explanation:
 Question 14
1.P,Q,R,S,T and U six members of a family each of them engaged in a different profession Doctor, Lawyer, Teacher, Engineer, Nurse and Manager.
2.Each of them remains at home on a different day of the week from Monday to Saturday.
3.The Lawyer in the family remain at home on Thursday.
4.R remains at home on Tuesday.
5.P, a Doctor, does not remain at home either on Saturday or on Wednesday.
6.S is neither the doctor nor the Teacher and remains at home on Friday,
7.Q is the Engineer and T is the Manager.

Who is the Nurse ?
 A S B R C U D Data inadequate
Question 14 Explanation:
 Question 15
Three of the words will be in the same classification the remaining one will not be. Your answer will be the one word that does NOT belong in the same classification as the others.

Which word does NOT belong to the others ?
 A Tape B Twine C Cord D Yarn
Question 15 Explanation:
Twine, Cord, Yarn all are similar words.
Tape is Different one.
 Question 16
Study the following information carefully and answer the questions given below :
1.Six persons A,B,C,D,E and F are taking their breakfast in two groups facing one another.
2.D and A are not in the same row .
3.E is to the left of F and faces C.
4.B is in the middle of a group.
5.D is to the left of B.

Who faces B?
 A C B A C E D F
Question 16 Explanation:
The arrangement as follows:
D B C
________
A F E
________
F faces B
 Question 17
If the difference between a number and 1/5​ th​ of it is 84, what is the number ?
 A 115 B 95 C 105 D 125
Question 17 Explanation:
Let’s number = x
Difference between a number and 1/5th of is 84 means
x - (x/5) = 84
4x / 5 = 84
x = 105
 Question 18
The ratio of ages of the father and his son at present is 12 : 5, the difference of their age is 28 years. What will be the ratio of their Ages after eight years?
 A 2 : 2 B 3 : 1 C 2 : 1 D 3 : 2
Question 18 Explanation:
From the question
Father’s present age = 12x ---> (i)
son’s present age = 5x ---> (ii)
Difference between their age is = 28
12x - 5x = 28
x= 4
Substitute x value in (i) and (ii)
Father’s present age = 48
son’s present age = 20
Ratio of their ages after eight years
Father’s age : Son’s age
48+8 : 20+8
56 : 28
2 : 1
 Question 19
Study the following information carefully and answer the questions given below :
1.Six persons A,B,C,D,E and F are taking their breakfast in two groups facing one another.
2.D and A are not in the same row .
3.E is to the left of F and faces C.
4.B is in the middle of a group.
5.D is to the left of B.

Who of the following are sitting in the same row ?
 A AEB B EFB C DEF D AEF
Question 19 Explanation:
D B C
________
A F E
AEF sitting in the same row.
 Question 20
Study the following information carefully and answer the questions given below :
1.Six persons A,B,C,D,E and F are taking their breakfast in two groups facing one another.
2.D and A are not in the same row .
3.E is to the left of F and faces C.
4.B is in the middle of a group.
5.D is to the left of B.

Which of the following pairs are facing each other ?
 A CA B BA C DA D DE
Question 20 Explanation:
D B C
________
A F E
DA is facing each other.
 Question 21
Find the missing number in the following question ?

 A 32 B 42 C 62 D 82
Question 21 Explanation:
From that First figure we can analyze like
729 ---> 27*27
841 ---> 29*29
784 ---> 28*28
27+29+28 = 84
The same logic we can apply for next diagram
225 ---> 15*15
169 ---> 13*13
196 ---> 14*14
15+13+14 = 42
 Question 22
If ÷ means +, – means ÷, X means – and + means X, then
 A 1 B -1 C 2 D 0 E None of the above
Question 22 Explanation:
Excluded for evaluation. Question and options are wrong
 Question 23
In each of the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it . Choose the correct alternative.

aaa_bb_aab_baaa_bb
 A abab B bbaa C babb D baab
Question 23 Explanation:
They given sequence is 3 consecutive a’s and 3 consecutive b’s forming a sequence.
aaa​ b ​ bb​ a ​ aab​ b ​ baaa​ b ​ bb
 Question 24
abca_bcaab_aa_caa_c
 A bbac B bbaa C acbb D acac
Question 24 Explanation:
They given sequence is following “abca” order.
abca​ a ​ bcaab​ c ​ aa​ b ​ caa​ b ​ c
 Question 25
In each of the following questions, one term in the number series is wrong. Find out the wrong term.
125, 126, 124, 127, 123, 129
 A 123 B 124 C 126 D 129
Question 25 Explanation:
 Question 26
52, 51, 48, 34, 27, 16
 A 51 B 48 C 34 D 43
Question 26 Explanation:
 Question 27
In each of the following questions, a series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank space.
6, 25,_______________, 123, 214, 341.
 A 65 B 70 C 72 D 62
Question 27 Explanation:
 Question 28
71, 76, 69, 74, 67, 72, ______________
 A 65 B 76 C 77 D 80
Question 28 Explanation:
 Question 29
50, 49, 46, 41, 34, _______________
 A 32 B 25 C 21 D 19
 Question 30
In each of the following questions, find out the correct answer from the given alternatives.
If in a certain language MECHANICS is coded as HCEMASCIN, how is POSTER coded in that code?
 A OPSTER B SOPRET C RETSOP D TERPOS
Question 30 Explanation:
MECHANICS
MECH ---> HCEM
A ---> A
NICS ---> SCIN
After Combined coded letters, We got
HCEMASCIN
We have total 9 Letters. So middle one we kept like constant and remaining letters are coded as reversed.
From that POSTER
POS ---> SOP
TER ---> RET
After combined
SOPRET.
 Question 31
If TABLE IS CODED AS GZYOV, how is JUICE coded?
 A OZLFJ B QFRXV C HOFAD D QZHMT
Question 31 Explanation:
 Question 32
In the each of the following questions, there is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the best alternative.

Engineer : Map : : Bricklayer : ?
 A Design B Templet C Mould D Cement
Question 32 Explanation:
→ Engineer is working according to map and plan.
→ Bricklayer is constructing temples using bricks
 Question 33
In the each of the following questions, there is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the best alternative.

Major : Battalion : : Colonel : ?
 A Company B Regiment C Army D Soldiers
Question 33 Explanation:
Both the series words are belongs to armed forces.
→ Battalion is a group instructed by Major.
→ Regiment is permanent unit of army instructed by Colonel
 Question 34
Virology : Virus : : Semantics : ?
 A Amoeba B Language C Nature D Society
Question 34 Explanation:
→ Virology is a subject deals with the virus.
→ Semantic is a subject deals with the language.
 Question 35
The following questions consist of two words each that have a certain relationship to each other, followed by four lettered pairs of the words. Select the lettered pair that has the same relationship as the original pair of words.

Symphony : Music
 A Mural : Painting B Ode : Prose C Preface : Book D Editorial : Journal
Question 35 Explanation:
→ Symphony is a instrument used by music.
→ Mural is a instrument used by painting
 Question 36
The following questions consist of two words each that have a certain relationship to each other, followed by four lettered pairs of the words. Select the lettered pair that has the same relationship as the original pair of words.

Medicine : Capsule
 A Pearl : Shell B Passenger : Bus C Heart : Lungs D Car : Vehicle
Question 36 Explanation:
→ Medicine is contained in capsule
→ Pearl is contained in shell
 Question 37
Identity : Anonymity
 A Flow : Perfection B Careless : Mistake C Truth : Lie D Fear : Joy E None of the above
Question 37 Explanation:
Excluded for evaluation. Question and options are wrong.
 Question 38
Each of the following questions the first two words have definite relationship. Choose one word out of the given four alternatives which will fill in the blank space and show the same relationship with the third word as between the first two.

Cobra is related to Snake in the same way as leopard is related to ____________
 A Tiger B Lion C Cat D Zebra
Question 38 Explanation:
→ Cobra is related to Snake
→ Leopard is related to Cat
 Question 39
Each of the following questions the first two words have definite relationship. Choose one word out of the given four alternatives which will fill in the blank space and show the same relationship with the third word as between the first two.

Memorise is to Amnesia as Movement is to _____________
 A Lubrication B Lethargy C Paralysis D Hermit
Question 39 Explanation:
Amnesia is a partial or total loss of memory.
→ Memorise is to Amnesia
Paralysis is ​ the loss of the ability to move (and sometimes to feel anything) in part or most of the body, typically as a result of illness, poison, or injury.
→ ​ Movement is to Paralysis
 Question 40
In each of the following questions, three out of the four alternatives contain alphabet placed in a particular form. Find the one that does not belong to the group.
 A BCDEI B PQRSW C LMNOS D HIKLO
Question 40 Explanation:

 Question 41
In each of the following questions, three out of the four alternatives contain alphabet placed in a particular form. Find the one that does not belong to the group.
 A LNMO B CRDT C EUFV D GWHX
Question 41 Explanation:

 Question 42
In each of the following questions, three out of the four alternatives contain alphabet placed in a particular form. Find the one that does not belong to the group.
 A CBAZ B AZYX C AZBY D PONM
Question 42 Explanation:
 Question 43
In each of the following questions, three out of the four alternatives contain alphabet placed in a particular form. Find the one that does not belong to the group.
 A JMP B RUX C UYB D EHK
Question 43 Explanation:
 Question 44
A train started from Mumbai at 6.00 A.M. On the next (second) station 1/3 passengers got down and 96 got in. On the next (third) station, 1⁄2 of the total passengers present in the train, got down and 12 came in. Now there were 248 passengers in the train, when the train started from Mumbai, the number of passengers was :
 A 435 B 564 C 654 D 736
Question 44 Explanation:
Let’s take number of passengers in a train = x
on second station 1⁄3 rd passengers got down and 96 got in = (x - (x/3)) + 96
on third station 1⁄2 got down and 12 got in = (((x-(x/3))+96)/2)+12 Now there were 248 passengers
(((x-(x/3))+96)/2)+12 =248
x=564
 Question 45
The LCM of two numbers is 45 times their HCF. If the sum of the LCM and the HCF of these two numbers is 1150 and one of the numbers is 125, then the other number is :
 A 256 B 225 C 250 D 255
Question 45 Explanation:
Let the lcm be x and hcf be y and the other number be z.
Given lcm of 2 numbers is 45 times their hcf, the sum of HCF + LCM is 1150.
y = 45x. ---- (1)
x + y = 1150 --- (2)
Substitute equation (1) in (2), we get
46x = 1150
x = 25.
Substitute x = 25 in (1), we get
y = 45 * 25 = 1125.
We know that product of two numbers = LCM * HCF
125 * z = 25 * 1125
z = 25 * 1125/125 = 225.
The other number = 225.
 Question 46
Find out the wrong term from the following series and select the number from the alternatives which will replace the wrong term in the series.

299, 178, 97, 48, 24, 14, 13 :
 A 175 B 295 C 23 D 10
Question 46 Explanation:
From that sequence we found out
-121, -81, -49, -24, -10, -1.
From the above sequence 24 is replace with 23.
So we get perfect sequence.
 Question 47
Find out the wrong term from the following series and select the number from the alternatives which will replace the wrong term in the series.

2, 9, 28, 126, 216, 344 :
 A 38 B 217 C 356 D 66
Question 47 Explanation:
1^3 + 1 = 2
2^3 + 1 = 9
3^3 + 1 = 28
4^3 + 1 = 65
5^3 + 1 = 126
But
6^3 + 1 = 217 and,
Given is 216 so its odd or wrong.
7^3 + 1 = 344.
 Question 48
The ratio between Sumit’s and the Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after six years will be
 A 1 : 2 B 2 : 3 C 3 : 4 D 3 : 8
Question 48 Explanation:
Sumit’s age = 2x
Prakash’s age = 3x
Sumit is 6 years younger than Prakash means
Prakash = Sumit + 6
Prakash - Sumit = 6
3x - 2x = 6
x = 6
So, Sumit’s age = 12
Prakash’s age = 18
Ratio of Sumit’s age and Prakash’s age after six years
12+6 : 18+6
18 : 24
3 : 4
 Question 49
Two pipes A and B can fill a water tank in 20 and 24 minutes respectively and third pipe C can empty at the rate of 3 gallons per minute. If A, B and C opened together filed the tank in 15 minutes, the capacity (in gallons) of the tank is :
 A 60 B 120 C 150 D 180
Question 49 Explanation:
Work done by the waste pipe in 1 minute
= (1/15) - ((1/20) + (1/24))
= -1/40 (Negative means it’s emptying)
Volume of the 1/40 = 3 gallons = (40 * 3) = 120 gallons
 Question 50
A can run 200 m in 35 seconds and B in 38 seconds. By what distance A beats B ?
 A 15m B 15 (2/3)m C 15 (15/19)m D 15 (4/19)m
 Question 51
A train starts at 7 a.m. from A towards B with a speed of 50 km/hr. Another train from B starts at 8 a.m. with a speed of 60 km/hr towards A. Both of them meet at 10 a.m. at C. The ratio of the distances AC to BC is :
 A 4 : 5 B 5 : 4 C 5 : 6 D 6 : 5
Question 51 Explanation:
Distance covered by A in 3 hours with the speed of 50 km/ h is = 50 *3 = 150km
Distance covered by B in 2 hours with the speed of 60 km/ h is = 60 * 2 = 120km =120 km
then AC:BC = 150:120 =5:4
 Question 52
The average of the husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. The average age of the family now is :
 A 29.3 years B 28.5 years C 23 years D 19 years
Question 52 Explanation:
Sum of the present ages of husband, wife and child = (23 * 2 + 5 * 2) + 1 = 57 years.
Required average = (57/3) = 19 years
 Question 53
1/4​ th​ of 60% of a number is equal to 2/5​ th​ of 20% of another number. What is the respective ratio of the first number to that of second number ?
 A 8 : 15 B 5 : 9 C 8 : 13 D 4 : 7
Question 53 Explanation:
Let’s take two numbers x and y
(1⁄4) * (60 / 100) * x = (2⁄5) * (20/100) * y
After solving this one
we got ratios like x : y = 8 :15
 Question 54
A&B together have ₹ 1210. If 4/15 of A’s amount is equal to 2/5 of B’s amount, how much amount does B have ?
 A ₹ 664 B ₹ 550 C ₹ 484 D ₹ 460
Question 54 Explanation:
From that question A + B = 1210 ---> (i)
(4/15) A = (2⁄5) B ---> (ii)
(2⁄3) A = B ---> (iii)
Sub (iii) in (i)
A + (2A/3) = 1210
A = 726 (Sub A value in (i) )
So,
B = 484
 Question 55
How many one rupee coins, 50 paise coins and 25 paise coins of which the numbers are proportional to 4, 5 and 6 are together worth ₹ 32 ?
 A 16, 20, 24 B 12, 16, 20 C 20, 24, 28 D 24, 28, 32
Question 55 Explanation:
 Question 56
Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is :
 A 1/18 B 1/12 C 1/9 D None of these
Question 56 Explanation:
Probability of obtaining a total score of 5 is {(1,4)(2,3)(3,2)(4,1)} = 4
Total Probability = 6 * 6 = 36
P(E) = 4 / 36 = 1 / 9
 Question 57
A tradesman marks his goods at such a price that after allowing a discount of 15%, he earns a profit of 20%. Find the marked price of an article which costs him ₹ 850.
 A ₹ 1200 B ₹ 1300 C ₹ 1250 D ₹ 1350
Question 57 Explanation:
C.P = 850
M.P = x
Discount = 15%
S.P = x - (15x/100) = 85x / 100
S.P
= 120% of C.P
= (120/100) * 850
= 85 * 12
= 1020
Therefore S.P = (85X/100) = 1020
X = 1200
 Question 58
In a camp, there are meals for 120 men or 200 children. If 150 children have taken their meals, how many men will be catered to with the remaining meal ?
 A 50 B 40 C 30 D 20
Question 58 Explanation:
There is a meal for 120 men and 200 children.
150 Children already taken meal. 50 Children remaining can also take a meal
200 Children = 120 men
50 Children = (120/200) * 50
= 30
 Question 59
56 men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?
 A 48 B 32 C 20 D 16
Question 59 Explanation:
1 Men 1 Day work = (1/(56 *24))
42 Men in how many days = (1/(56 *24)) * 42 = 1/32
So,
42 Men can complete piece of work in 32 days.
 Question 60
A boat travels upstream from P to Q and downstream from Q to P in 4 hours. If the speed of the boat in still water is 12 km/hr and the speed of the current is 4 km/hr, then what is the distance from P to Q ?
 A 31 (1/ 3) km B 41( 1/ 3) km C 21 (1 /3) km D 11 (1/ 3) km
Question 60 Explanation:
Speed of the boat in still water = 12 km/hr
Speed of the current = 4 km/hr
Speed of the upstream = 12 + 4 = 16 km/hr
Speed of the Downstream = 12 - 4 = 8 km/hr
Let the distance between P and Q be x
(x/16) + (x/8) = 4
x = 64 / 3
x = 21 (1⁄3)
There are 60 questions to complete.