Aptitude and Reasoning Questions

Q:

In a mixture of 60 litres, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?

A) 42 Litres B) 56 Litres
C) 60 Litres D) 77 Litres
 
Answer & Explanation Answer: C) 60 Litres

Explanation:

Ratio of milk and water = 2 : 1
Quantity of milk = 60 X 2/3 = 40 litre
Quantity of water = 20 litre
To make ratio, 1: 2, we have to double the water that of milk
So, water should be 80 litre.
That means 80 – 20 = 60 litre water to be added.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

3 4403
Q:

K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ?

A) 5.5 days B) 6 days
C) 4.2 days D) 5 days
 
Answer & Explanation Answer: B) 6 days

Explanation:

L's 10 days work = 115×10=23

 


Remaining work = 1-23=13

 


Now,  work is done by K in one day = 1/18

 

1/3 work is done by K in  18×13 = 6 days

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

5 4399
Q:

Among the following which is a rational number?

 

A) 323 B) 325
C) 324 D) 326
 
Answer & Explanation Answer: B) 325

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

2 4396
Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

4 4394
Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75 B) 100
C) 125 D) 150
 
Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50  <=>  x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

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Q:

If 6A = 4B = 9C; What is A : B : C?

A) 6 : 4 : 9 B) 9 : 4 : 6
C) 4 : 9 : 6 D) 6 : 9 : 4
 
Answer & Explanation Answer: D) 6 : 9 : 4

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 4393
Q:

A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?

A) 200 B) 33.3
C) 300 D) 25
 
Answer & Explanation Answer: C) 300

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

3 4393
Q:

The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

A) 4500 B) 9000
C) 6000 D) 7500
 
Answer & Explanation Answer: B) 9000

Explanation:
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Filed Under: Ratios and Proportions

5 4390