Mathematical-Reasoning

Question 1

A certain principal invested at compounded interest payable yearly amounts to Rs. 10816.00 in 3 years and Rs. 11248.64 in 4 years. What is the rate of interest?

A
3%
B
4%
C
4.5%
D
5.5%
Question 1 Explanation: 
Rate of interest=((11248.64 - 10816)/10816) * 100
= (432.64 / 10816)*100
= 4%
Question 2

In a certain coding language, ‘AEIOU’ is writing as ‘TNHDZ’. Using the same coding language, ‘BFJPV’ will be written as

A
UOIEA
B
AEIOUS
C
CGKQW
D
WQKGC
Question 2 Explanation: 
'AEIOU' is written as 'TNHDZ'
The above code following 2 conditions
1. character-1
2. Firs position is replaced with last position
A-1= Z and placed in last
E-1= D placed in second last
I-1=H placed in third last
O-1=N placed in fourth last
S-1=T placed in first position

The same order will follow for 'BFJPV'
B-1= A placed in last
F-1=E is placed in second last
J-1=I is placed in third last
P-1=O is placed in fourth last
V-1=U is placed in first position.
Question 3

What is the exact equivalent discount of three successive discounts of 10%, 15% and 20% by sale of an article?

A
35.8%
B
38.5%
C
35.5%
D
38.8%
Question 3 Explanation: 
Single equivalent discount for successive discounts of 10% and 15%.
= (10+15- (15*10)/100)%
= 23.5%
Single equivalent discount for 23.5% and 20%
=(23.5+20-(23.5*20)/100)%
=38.8%
Question 4

If 3% of (a + b) = 7% of (ab) and 5% of (a – b) = 4% of (ab) then what percentage of b is a?

A
47/23 %
B
23/47 %
C
4700/23 %
D
2300/47 %
Question 5

The sum of a number and its inverse is –4. The sum of their cubes is:

A
-52
B
52
C
64
D
-64
Question 5 Explanation: 
Given : a + 1/a = - 4
Find: a^3 + (1/a)^3
Solution: a + 1/a = -4
Take cube on both sides
(a + 1/a)^3 = (-4)^3
a^3 + (1/a)^3 + 3*a* 1/a (a+1/a) = -64
a^3 + (1/a)^3 + 3(a+1/a) = -64
a^3 + (1/a)^3 - 12 = -64
a^3 + (1/a)^3 = - 64 + 12
a^3 + (1/a)^3 = -52
Question 6
In a 100 meters race, A beat B by 10 meter or 2 second. What is the speed of A?
A
5 Km/h
B
10 Km/h
C
15 Km/h
D
20 Km/h
Question 6 Explanation: 
When A completes 100m, B is at 90m which is 10m behind.Now A beats B by 2 secs.
This means B takes 2 more seconds to complete the race
As B is 10m behind when A completes the race, so B takes 2 secs to complete 10m
Speed of B = 5m/s
Total time of B = 100/5 = 20 secs
Time of A = 20 - 2 = 18 seconds
Speed of A = 100/18 = 5.555
Question 7
The ratio of ages of two persons A and B is 3 : 4 and that of ages of B and C is 4 : 5. If the average of all three is 40 years, what is B’s age?
A
20 years
B
30 years
C
40 years
D
50 years
Question 7 Explanation: 
Ration of ages of three persons= A:B:C= 3:4:5
Average of three is 40 years
What is the B’s age=?
We can’t get more than 120 as their age because the average of 3 persons is 40.
B is elder than A and younger than C
= 20+40+60
= 120
Average = (120/3)=40
Question 8
Three pipes fill a tank in 4 hours. If two of them take 8 and 12 hours each to fill the tank, how many hours will the third pipe take to fill the tank?
A
6 hours
B
15 hours
C
18 hours
D
24 hours
Question 8 Explanation: 
Three pipes fill a tank in 4 hours
P1 takes 8 hours and in one hour work is 1/8
P2 takes 12 hours and and in one hour work is 1/12
P3 takes x hours and and in one hour work is 1/x
Amount of work done by both p1 and p2=(⅛+1/12+1/x)=5/24+1/x
Now 1/x=1/4-5/24=6-5/24=1/24
P3 will take 24 hours to fill the tank
Question 9
In a park A, B, C, D, E and F are sitting. C is the brother of D’s husband and son of A. F is the daughter of D and sister of E.
A) E is the grandson of A
B) F is the daughter of C
C) B is the father of F
D) There are one son and one daughter in the group
E) C is the uncle of E
Choose the correct answer from the options given below:
A
(A), (B) and (C) only
B
(A), (C) and (E) only
C
(B), (D) and (E) only
D
(B), (C) and (D) only
Question 9 Explanation: 
Input’s:
C is the brother of D’s husband and son of A
F is the daughter of D
F is sister of E
B=? [ Hint: D’s Husband ]

Question 10
A is the father of B and C is the son of D. E is the brother of A. B is the sister of C. How is D related to E?
A
Daughter
B
Brother
C
Brother in Law
D
Sister in Law
Question 10 Explanation: 
Question 11
Pointing towards a picture, Ramesh said, “That picture is of the sister of the grandson of the father of my maternal uncle”. How is that lady in the picture related to Ramesh?
A
Mother’s sister
B
Cousin (maternal brother)
C
Cousin (maternal sister)
D
Father’s sister
Question 11 Explanation: 
Question 12
If ‘CONTEMPORARY’ is coded as NOCTEMROPARY then ‘BODARDSITAND’ is the code of which letter?
A
DOBARDTISAND
B
BODDRASITDNA
C
DOBDRATISDNA
D
DOBARDSITAND
Question 12 Explanation: 
Question 13

Find the number which does not fit into the series
8 12 20 32 50 68
A
20
B
32
C
68
D
50
Question 13 Explanation: 
Question 14

Complete the following series
4, 27, 256, 3125, _____
A
46656
B
6250
C
800000
D
1024
Question 14 Explanation: 
22 = 4
33 = 27
44 = 256
55 = 3125
66 = 46656
Question 15
A Businessman purchases an item at a certain price and marks its price up by 30%. He sells the item at a certain discount on markup price and makes a net profit of 4% on the whole transaction. Find the discount given by a businessman on markup price.
A
10
B
15
C
26
D
20
Question 16

Find the missing number.
A
14
B
10
C
9
D
3
Question 17
If 5% income of P is equal to 15% income of Q and 10% income of Q is equal to 20% income of R. If income of R is ₹ 2000, then what are the incomes of P and Q respectively?
A
₹ 4000 and ₹ 8000
B
₹ 12000 and ₹ 4000
C
₹ 15000 and ₹ 5000
D
₹ 18000 and ₹ 6000
Question 17 Explanation: 
5%P = (15/100)*Q
(10/100)*Q = (20/100)*R
(20/100)*2000
=4000
(10/100)*Q = 4000
Q = 4000

(5/100)*P = (15/100)*4000
=600
P = (600*100)/5
P=12000
Question 18

Directions for question number 23 to 26:
Answer the questions on the basis of the data given below:
O is X’s father
Y is Z’s mother
P is O’s mother
X is Z’s sister
Q23. If P has a daughter Q, then how is Q related to Z?
A
Aunt
B
Mother
C
Sister
D
Daughter
Question 18 Explanation: 

If P has a daughter Q, then Q related to Z is Aunt.
Question 19

Directions for question number 23 to 26:
Answer the questions on the basis of the data given below:
O is X’s father
Y is Z’s mother
P is O’s mother
X is Z’s sister
Q24. How is Y related to O?
A
Wife
B
Sister
C
Mother
D
Daughter
Question 19 Explanation: 

Y related to O is wife.
Question 20

Directions for question number 23 to 26:
Answer the questions on the basis of the data given below:
O is X’s father
Y is Z’s mother
P is O’s mother
X is Z’s sister
Q25. How is O related to Z?
A
Brother
B
Cousin
C
Father
D
Uncle
Question 20 Explanation: 

O related to Z is father.
Question 21

Directions for question number 23 to 26:
Answer the questions on the basis of the data given below:
O is X’s father
Y is Z’s mother
P is O’s mother
X is Z’s sister
Q26. How is P related to X?
A
Mother
B
Grandmother
C
Sister
D
Daughter
Question 21 Explanation: 

P related to X is Grandmother.
Question 22
14, 28, 20, 20, 40, 32, 64, _______
A
52
B
56
C
96
D
128
Question 22 Explanation: 
Question 23
5 16 49 104 181 ______
A
271
B
298
C
280
D
281
Question 23 Explanation: 
Question 24
In a certain code, ‘CONSIDER’ is written as RMNBSFEJ, how is ‘MONOPOLY’ written in that code?
A
LNMNZMPQ
B
NMNLZMPQ
C
POPNXKNO
D
NMNLXKNO
Question 24 Explanation: 

Question 25
Ram can do a piece of work in 5 days, and Sham can do the same in 10 days. With the help of Karan, they finished the work in 2 days. How many days would it take Karan to do the work?
A
5 days
B
10 days
C
15 days
D
20 days
Question 25 Explanation: 
Ram can do a piece of work = 5 days
Sham can do a piece of work = 10 days
Ram + Sham + Karan = 2 days
Karan= 5 days
Question 26
Considering 5 as the 1st element in the sequence 5, 11, 23, 47. What is the 6th element in the sequence?
A
191
B
172
C
342
D
106
Question 26 Explanation: 

Question 27
₹ 1000 doubled in 10 years when compounded annually. How many more years will it take to get another ₹ 2000 compound interest?
A
5 years
B
10 years
C
3 years
D
4 years
Question 27 Explanation: 
₹ 1000 invested in compound interest becomes ₹ 2000 in 10 years.
The amount will double again in another 10 years.
The amount will become ₹ 2000 in another 10 years.
So, to earn another ₹ 2000 interest, it will take another 10 years.
Question 28
Determine the relationship between the pair of words ALWAYS : NEVER and then select from the following pair of words which have a similar relationship :
A
often : rarely
B
frequently : occasionally
C
constantly : frequently
D
intermittently : casually
Question 29
Find the wrong number in the sequence: 52, 51, 48, 43, 34, 27, 16
A
27
B
34
C
43
D
48
Question 29 Explanation: 

‘34’ is wrong number in place of 34, the number ‘36’ is correct sequence.
Question 30
In a certain code, PAN is written as 31 and PAR as 35, then PAT is written in the same code as
A
30
B
37
C
39
D
41
Question 30 Explanation: 
PAN = 31 → (1)
PAR = 35 → (2)
PAT = 37
From (1) & (2), PA = 3; Difference between N to R is (5 - 1) = 4 i.e., no. of alphabets between N & R such as no. of alphabets between R and T is ‘2’ then ‘7’ is correct number. Difference between 7 and 5 is 2.
Question 31
The letters in the first set have certain relationship. On the basis of this relationship, make the right choice for the second set: AF : IK : : LQ : ?
A
MO
B
NP
C
OR
D
TV
Question 31 Explanation: 
Question 32
If 5472 = 9, 6342 = 6, 7584 = 6, what is 9236?
A
2
B
3
C
4
D
5
Question 32 Explanation: 
5 + 4 + 7 + 2 = 18 = (1 + 8) = 9; 6 + 3 + 4 + 2 = 15 = (1 + 5) = 6
7 + 5 + 8 + 4 = 24 = (2 + 4) = 6; 9 + 2 + 3 + 6 = 20 = (2 + 0) = 2
Question 33
What is the smallest number of ducks that could swim in this formation – two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?
A
5
B
7
C
4
D
3
Question 34
Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their trades. (i) Mr. A sits opposite to the cook. (ii) Miss B sits right to the barber (iii) The washerman sits right to the barber (iv) Miss D sits opposite to Mr. C What are the trades of A and B?
A
Tailor and barber
B
Barber and cook
C
Tailor and cook
D
Tailor and washerman
Question 35
Which one of the following methods serve to measure correlation between two variables?
A
Scatter Diagram
B
Frequency Distribution
C
Two-way table
D
Coefficient of Rank Correlation
Question 36
The next term in the series 5, 11, 21, 35, 53, ?, ... is
A
75
B
90
C
115
D
125
Question 37
The next term in the series XY, ABC, FGHI, ? , ... is
A
MNPQO
B
MNOPQ
C
PQOMN
D
NMPOQ
Question 38
If the code of ALLAHABAD is DPQGOIKKO, then the code of BENGULURU will be
A
ESBTBDIMF
B
MBDBFEIST
C
EISMBTDBF
D
ESBDFBTMI
Question 39
A man paid Rs. 160 while travelling 10 km in a taxi which has some initial fixed charges. Another man paid Rs. 276 for travelling 16 km and the taxi driver charged double of the initial fixed charges from him. The charges of the taxi per km is
A
Rs. 10
B
Rs. 13
C
Rs. 11
D
Rs. 17
Question 40
Gopal walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Again he turns left and walks 15 m. Then he again turns left and walks 15 m. The shortest distance between his original position and final one is
A
65 m
B
55 m
C
40 m
D
45 m
Question 41
Choose the proper alternative given in the code to replace the question mark.
Cow – Milk
Bee – Honey
Teacher – ?
A
Marks
B
Discipline
C
Wisdom
D
Lesson
Question 42
The next term in the following series YEB, WFD, UHG, SKI, ? will be
A
TLO
B
QOL
C
QLO
D
GQP
Question 42 Explanation: 
Question 43
If A is coded as C, M as I, N as P, S as 0, I as A, P as N, E as M, 0 as E and C as S, then the code of COMPANIES will be
A
SPEINMOAC
B
NCPSEIOMA
C
SMOPIEACN
D
SEINCPAMO
Question 43 Explanation: 
Question 44
Ali buys a glass, a pencil box and a cup and pays Rs. 21 to the shopkeeper. Rakesh buys a cup, two pencil boxes and a glass and pays Rs. 28 to the shopkeeper. Preeti buys two glasses, a cup and two pencil boxes and pays Rs. 35 to the shopkeeper. The cost of 10 cups will be
A
Rs.40
B
Rs.60
C
Rs.80
D
Rs.70
Question 44 Explanation: 
Question 45
Out of four cities given below three are alike in some manner while the fourth one is different. Identify the odd one
A
Lucknow
B
Rishikesh
C
Allahabad
D
Patna
Question 45 Explanation: 
River ganga doesn’t pass through LUCKNOW.
Question 46
The missing term in the series 1, 4, 27, 16, ?, 36, 343, ... is
A
30
B
49
C
125
D
81
Question 46 Explanation: 
Question 47
The next term in the series 2, 5, 10, 17, 26, 37, ? is:
A
50
B
57
C
62
D
72
Question 47 Explanation: 
Question 48
A group of 210 students appeared in some test. The mean of 1/3 rd of students is found to be 60. The mean of the remaining students is found to be 78. The mean of the whole group will be:
A
80
B
76
C
74
D
72
Question 48 Explanation: 
Given data:
Total number of students = 210
1/3 rd of 210 = 70 students
Mean marks of 70 students = 60
To Find: Mean of the whole group= ?
Let the sum of marks of 70 students be X
Mean = X / Number of students
60 = X/70
X = 70*60

⇒ Sum of marks of 70 students = 4200
Remaining students = 210 - 70 = 140 students
Mean of 140 students = 78
Sum of marks of 78 students = 140*78 = 10920
Total marks of 210 students = 4200 + 10920
= 15120
Mean of whole group = 15120 / 210
= 72 marks
Question 49
Anil after travelling 6 km towards East from his house realized that he has travelled in a wrong direction, lie turned and travelled 12 km towards West, turned right and travelled 8 km to reach his office. The straight distance of the office from his house is:
A
20 km
B
14 km
C
12 km
D
10 km
Question 49 Explanation: 
Question 50
The next term in the series: B2E, D5H, F12K, H27N, ? is:
A
J561
B
162Q
C
Q62J
D
J58Q
Question 50 Explanation: 
There are 50 questions to complete.

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