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
Arrange the following fractions in increasing order :
A)12/17
B)13/19
C)8/11
D)16/23
Choose the correct answer from the options given below :
A
(B), (D), (A), (C)
B
(B), (A), (C), (D)
C
(D), (A), (B), (C)
D
(D), (B), (C), (A)
Question 8
Identify the numbers that occurs in the series 1,7,17,31,49,...................
A)74
B)95
C)97
D)127
E)161
Choose the correct answer from the options given below :
A
(A),(B),(C) only
B
(C),(D),(E) only
C
(E),(B),(A) only
D
(C),(D),(B) only
Question 9
Match List-I with List-II:
List-I (Word)      List-II (Unique Code)
(A) Q U A K E      (I) K T F U L
(B) O F T E N      (II)V H Q D U V H Q D U
(C) P E A C H      (III) I E Y O U
(D) D R I V E      (IV) J U Y W R
Choose the correct answer from the options given below:
A
(A)-(I), (B)-(III), (C)-(II), (D)-(IV)
B
(A)-(I), (B)-(IV), (C)-(III), (D)-(II)
C
(A)-(III), (B)-(I), (C)-(IV), (D)-(II)
D
(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
Question 10
In a race of 500 m run, A beats B by 20 m and C by 80 m. If B and C are running another race of 100 m with exactly same speed as before, then b how many meters will B and C ? m
A
10.0m
B
8.5m
C
15.0m
D
12.5m
Question 11
A person sold an item at a loss of 7%. Had he sold the item at a gain of 7.5%, he would have received Rs. 87 more than his selling price. The cost price of the item is:
A
Rs. 500
B
Rs. 550
C
Rs. 600
D
Rs. 650
Question 12
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 13
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 14
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 15
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 16
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 17
Find the average of the squares of the consecutive odd numbers from 1 to 21
A
162
B
161
C
159
D
160
Question 18
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 19
₹ 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 19 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 20
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 20 Explanation: 

Question 21
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 21 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 22
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 22 Explanation: 

Question 23
5 16 49 104 181 ______
A
271
B
298
C
280
D
281
Question 23 Explanation: 
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
Q25. How is O related to Z?
A
Brother
B
Cousin
C
Father
D
Uncle
Question 24 Explanation: 

O related to Z is father.
Question 25

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 25 Explanation: 

P related to X is Grandmother.
Question 26
14, 28, 20, 20, 40, 32, 64, _______
A
52
B
56
C
96
D
128
Question 26 Explanation: 
Question 27

Find the missing number.
A
14
B
10
C
9
D
3
Question 28
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 28 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 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
Q24. How is Y related to O?
A
Wife
B
Sister
C
Mother
D
Daughter
Question 29 Explanation: 

Y related to O is wife.
Question 30

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 30 Explanation: 

If P has a daughter Q, then Q related to Z is Aunt.
Question 31

Complete the following series
4, 27, 256, 3125, _____
A
46656
B
6250
C
800000
D
1024
Question 31 Explanation: 
22 = 4
33 = 27
44 = 256
55 = 3125
66 = 46656
Question 32
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 33
If ‘CONTEMPORARY’ is coded as NOCTEMROPARY then ‘BODARDSITAND’ is the code of which letter?
A
DOBARDTISAND
B
BODDRASITDNA
C
DOBDRATISDNA
D
DOBARDSITAND
Question 33 Explanation: 
Question 34

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 34 Explanation: 
Question 35
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 35 Explanation: 
Question 36
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 36 Explanation: 
Question 37
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 37 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 38
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 38 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 39
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 39 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 40
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 40 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 41
In a large random data set following normal  distribution, the ratio (%) of number  of  data  points  which  are  in the  range  of (mean  ± standard deviation) to the total number of data points, is
A
~ 50%
B
~ 67%
C
~ 97%
D
~ 47%
Question 42
The population of a city is plotted as a function of time (years) in graphic form below: Which of the following inference can be drawn from above plot?
A
The population increases exponentially.
B
The population increases in parabolic fashion.
C
The population initially increases in a linear fashion and then stabilizes.
D
The population initially increases exponentially and then stabilizes.
Question 43
When an error of 1% is made in the length of a square, the percentage error in the area of a square will be
A
0
B
1/2
C
1
D
2
Question 44
On January 12, 1980, it was a Saturday.  The day of the week on January 12, 1979 was
A
Thursday
B
Friday
C
Saturday
D
Sunday
Question 45
If water is called food, food is called tree, tree is called earth, earth is called world, which of the following grows a fruit?
A
Water
B
Tree
C
World
D
Earth
Question 45 Explanation: 
Water = food
Food = tree
Tree = earth
Earth = world
Fruits glows in a tree. Tree is called as earth.
Ans:- C
Question 46
E is the son of A, D is the son of B, E is married to C, C is the daughter of B. How is D related to E?
A
Brother
B
Uncle
C
Father-in-law
D
Brother-in-law
Question 46 Explanation: 
C is D’s daughter and D is B’s son.
So, D is the brother of C. E is a male married to C. So, E is husband of C, whose brother is D.
So, D is the brother-in-law of E.
Question 47
If INSURANCE is coded as ECNARUSNI, how HINDRANCE will be coded?
A
CADNIHWCE
B
HANODEINR
C
AENIRHDCN
D
ECNARDNIH
Question 47 Explanation: 
INSURANCE write inverse order ECNARUSNI such as HINDRANCE can coded as ECNARDNIH.
Question 48
Find the next number in the following series: 2, 5, 10, 17, 26, 37, 50, ?
A
63
B
65
C
67
D
69
Question 48 Explanation: 
Question 49
Which of the following is an example of circular argument?
A
God created man in his image and man created God in his own image.
B
God is the source of a scripture and the scripture is the source of our knowledge of God.
C
Some of the Indians are great because India is great.
D
Rama is great because he is Rama.
Question 50
Lakshmana is a morally good person because
A
he is religious
B
he is educated
C
he is rich
D
he is rational
There are 50 questions to complete.

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