Verbal Reasoning

Arithmetic Reasoning - Expert Level

Verbal Reasoning Exercise Mode

Arithmetic Reasoning - Expert Level

Practice and master this topic with our carefully crafted questions.

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Question 11
In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?

A
40 years
B
45 years
C
50 years
D
60 years
Correct Answer: Option D

Let the daughter's age be x years.

Then, father's age = (3x) years.

Mother's age = (3x - 9) years; Son's age = (x + 7) years.

So, x + 7 = (3x-9)/2 2x + 14 = 3x - 9 x = 23.

Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.

Question 12
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?

A
12
B
16
C
18
D
24
Correct Answer: Option B

Suppose the boy got x sums right and 2x sums wrong.

Then, x + 2x = 48 3x = 48 x = 16.

Question 13
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is

A
5
B
7
C
10
D
12
Correct Answer: Option B

Let the number of cows be x and the number of hens be y.

Then, 4x + 2y = 2 (x + y) + 14 <=> 4x + 2y = 2x + 2y + 14 <=> 2x = 14 <=> x = 7.

Question 14
How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A
3
B
5
C
7
D
9
Correct Answer: Option B

There are total 5 ways.

we have only one kg of weight so,

2kg = 1kg + 1kg

4kg = 1 + 2 + 1

8kg = 1 + 2 + 4 + 1

16kg = 1 + 2 + 4 + 8 + 1

31kg = 1 + 2 + 4 + 8 + 16

So 5 weights are needed.

Question 15
A kiddy bank of a child contains all Rs. 1, 50 paise and 25 paise coins. What is the total amount in the bank ? 
(1) Total number of coins are 20 
(2) The number of 50 paise and 25 paise coins are in the ratio of 7:3.

A
only 1 is needed
B
only 2 is needed
C
Both 1 and 2 are needed
D
None
Correct Answer: Option C

Given that 50 paise and 25 paise coins are in the ratio of 7:3, they can be either 7 & 3 or 14 & 6.

As total 20 coins also includes Rs. 1 coins, so 50 paise & 25 paise coins are 7 & 3 respectively & Rs. 1 coins are 10.

Total amount = (100x10) + (50x7) + (25x3) = 1425 paise or Rs.14.25.

Question 16
The cost of 7 tables and 12 chairs is ₹ 48,250. What is the cost of 21 tables and 36 chairs ?

A
₹ 1,44,750
B
₹ 2,35,745
C
₹ 89,489
D
₹ 74,256
Correct Answer: Option A

3T+12C = 48,250----(1)

21T+36C = ?

multiply eq (1) with 3

i.e, = 3( 7T + 12C ) = 48,250*3

21T+36C = ₹ 1,44,750/-

Question 17
A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ?

A
60
B
65
C
70
D
75
Correct Answer: Option D

If there are x girls, then

x + 15x = 1200

16x = 1200

x= 1200/16 = 75

Question 18
An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A
11 days
B
15 days
C
13 days
D
16 days
Correct Answer: Option A

Let 'n' number of days it take to complete.

we know that sum of n number= n/2[2a+(n-1)d]

where a=20,d=1;

n/2[ 2 x 20 + (n-1)1 ]=275

n[n+39]=550

+ 39n - 550 = 0

+ 50n - 11n - 550 = 0

(n-11) (n-50) = 0

n-11 = 0;

n = 11(Days).

Question 19
O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A
10
B
6
C
35/4
D
45/4
Correct Answer: Option D

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9) x (O'X)

And since, OX + O'X = 20

=> (7/9) x (O'X ) + O'X = 20

=> O'X = 45/4

Question 20
Consider the following statements 
P : Suman is brilliant 
Q : Suman is rich 
R : Suman is honest 
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

1) 
2) 
3) 
4) 

A
1
B
2
C
3
D
4
Correct Answer: Option D

Suman is brilliant and dishonest is P ~ R

Suman is brilliant and dishonest iff suman is rich is

Q  (P ~ R)

Negative of statement is expressed as

~ (Q  (P  ~ R)).

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