Aptitude + Logical

Two students appeared at an examination. One of them secured 10 marks more than the other and his marks was 60% of the sum of their marks. The marks obtained by them are:

• 10, 19

• 25, 35

• 20, 30

• 33, 42

Answer explanation

Let their marks be (x+10) and x.

Then, x + 10 = 60/100 (x+10+ x)

5(x + 10) = 3(2x + 10)

5x+50 = 6x + 30

x = 20

So, their marks are 20 and 30.

If A = x% of y and B = y% of x, then which of the following is true?

• A is smaller than B.

• A is greater than B

• Relationship between A and B cannot be determined.

• None of the above

Answer explanation

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

• 4 years

• 8 years

• 10 years

• 12 years

Answer explanation

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

• 10

• 8

• 9

• 7

Answer explanation

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

Answer explanation

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

• Rs. 1090

• Rs. 1160

• Rs. 1190

• Rs. 1202

Answer explanation

A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

• 45

• 60

• 75

• 90

Answer explanation

Let number of notes of each denomination be x.

Then x + 5x + 10x = 480

16x = 480

x = 30.

Hence, total number of notes = 3x = 90.

Odd man out: 396, 462, 572, 427, 671, 264

• 396

• 427

• 671

• 264

Answer explanation

In each number except 427, the middle digit is the sum of other two.

• 11

• 18

• 20

• 21

Answer explanation

• 3, 1, 2, 4, 5

• 1, 2, 4, 3, 5

• 5, 4, 3, 2, 1

• 3, 1, 4, 5, 2

Answer explanation