## Mathematical-Reasoning

 Question 1
Kind : _______ : : Often : Frequently (By word meaning)
 A Mean B Type C Cruel D Kindly
 Question 2

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 3

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 3 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 4

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 4 Explanation:
Rate of interest=((11248.64 - 10816)/10816) * 100
= (432.64 / 10816)*100
= 4%
 Question 5

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 5 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 6

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 6 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 7
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 7 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 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
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 9 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 10
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 10 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 11
Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle". How is the boy related to the girl?
 A Uncle B Nephew C Cousin D Brother-in-law
 Question 12
A man walks 40 meter towards south. Then turning to his right he walks 40 meters again. Then he turns to his left and walks 20 meters. He again turns to his left and walks 40 meters. How far is the man now from his starting point?
 A 60 meters B 40 meters C 100 meters D 80 meters
 Question 13
Two numbers are in the ration of 7:8.If the difference between the numbers is 30,then find the numbers
 A 215,245 B 205,235 C 220,250 D 210,240
 Question 14
Two shopkeepers 'A' and 'B' sell certain kind of machines at the same list price. However, shopkeeper 'A' allows two successive discounts of 20% and 15% and shopkeeper 'B' allows two successive discounts of 10% and 25%.Which of the following statements is correct?
 A A offers more discount B B offers more discount C Both A and B offers same discount D A offers 35% discount and B offers 30% discount
 Question 15
At what percent of compound interest per annum, a sum of money will double in 14 years ?
 A 4% B 5% C 6% D 6.5%
 Question 16
Find the average of the squares of the consecutive odd numbers from 1 to 21
 A 162 B 161 C 159 D 160
 Question 17
Find the wrong term in the given series: 6,11,I8, 27,34,51,66,83
 A 34 B 51 C 83 D 11
 Question 18
₹ 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 18 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 19
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 19 Explanation:

 Question 20
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 20 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 21
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 21 Explanation:

 Question 22
5 16 49 104 181 ______
 A 271 B 298 C 280 D 281
Question 22 Explanation:
 Question 23

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 23 Explanation:

O related to Z is father.
 Question 24

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 24 Explanation:

P related to X is Grandmother.
 Question 25
14, 28, 20, 20, 40, 32, 64, _______
 A 52 B 56 C 96 D 128
Question 25 Explanation:
 Question 26

Find the missing number.
 A 14 B 10 C 9 D 3
 Question 27
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 27 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 28

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 28 Explanation:

Y related to O is wife.
 Question 29

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 29 Explanation:

If P has a daughter Q, then Q related to Z is Aunt.
 Question 30

Complete the following series
4, 27, 256, 3125, _____
 A 46656 B 6250 C 800000 D 1024
Question 30 Explanation:
22 = 4
33 = 27
44 = 256
55 = 3125
66 = 46656
 Question 31
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 32
If ‘CONTEMPORARY’ is coded as NOCTEMROPARY then ‘BODARDSITAND’ is the code of which letter?
 A DOBARDTISAND B BODDRASITDNA C DOBDRATISDNA D DOBARDSITAND
Question 32 Explanation:
 Question 33

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 33 Explanation:
 Question 34
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 34 Explanation:
 Question 35
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 35 Explanation:
 Question 36
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 37
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 38
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 39
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 40
Find the wrong number in the sequence: 52, 51, 48, 43, 34, 27, 16
 A 27 B 34 C 43 D 48
Question 40 Explanation:

‘34’ is wrong number in place of 34, the number ‘36’ is correct sequence.
 Question 41
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 41 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 42
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 42 Explanation:
 Question 43
If 5472 = 9, 6342 = 6, 7584 = 6, what is 9236?
 A 2 B 3 C 4 D 5
Question 43 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 44
The next term in the series 5, 11, 21, 35, 53, ?, ... is
 A 75 B 90 C 115 D 125
 Question 45
The next term in the series XY, ABC, FGHI, ? , ... is
 A MNPQO B MNOPQ C PQOMN D NMPOQ
 Question 46
If the code of ALLAHABAD is DPQGOIKKO, then the code of BENGULURU will be
 A ESBTBDIMF B MBDBFEIST C EISMBTDBF D ESBDFBTMI
 Question 47
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 48
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 49
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 50
The missing term in the series 1, 4, 27, 16, ?, 36, 343, ... is
 A 30 B 49 C 125 D 81
Question 50 Explanation:
There are 50 questions to complete.

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