Aryabhatta Finals- Mock Test 4

The sum of a rational number and its reciprocal is

• 5/1

• 4/1

• -1/5

• 1/-5

The ratio between a two-digit number and the sum of the digit of that number is 3 : 1. If the digit in the unit's place is 5 more than the digit in the ten's place, what is the number?

• 40

• 95

• 51

• 84

Rohan earns Rs. 18000 per month. He spends 1/4 of his income on food; 3/10 of the remainder on house rent and 5/21 of the remainder on the education of children. How much money is still left with him?

• Rs. 9000

• Rs. 8200

• Rs. 7200

• Rs. 6800

Which of the following forms a pair of equivalent rational numbers?

• 40/45 and -35/40

• -27/36 and -18/27

• 28/35 and 36/45

• 36/42 and 30/36

The value of (-16/21) ÷ (-8/7) is:

• -3/2

• 2/3

• 3/2

• -2/3

Simplify: (13/9 × -15/2) + (7/3 × 8/5) + (3/5 × 1/3)

• 617/20

• 509/20

• -507/20

• 413/20

Find the multiplicative inverse of: −42/5 × −1/8

• -21/20

• -20/21

• 13/42

• 20/21

The sum of two rational numbers is 24/5. If one of them is -4/3, then find the other rational number.

• 93/15

• 89/15

• 92/15

• 86/15

Rationalize the denominator: √34 + √21 / √34 + √21

• 13

• 6

• 2

• 1

Simplify: (28/9 × 21/2) - (14/3 × 8/5) + (3/4 × 1/3)

• 617/20

• 509/20

• -507/20

• 413/20