number systems Model Questions & Answers, Practice Test for ibps so prelims

Answer: (a)

$n(n^2 + 20)$ is always divisible by 24, if n is even number.

Answer: (b)

Since 59 = 4 × 14 + 3

⇒ last digit of $(377)^59$ = 3

87 = 4 × 21 + 3

⇒ last digit of $(793)^87$ = 7

129 = 4 × 32 + 1

⇒ last digit of $(578)^129$ = 8

99 = 2 × 49 + 1

⇒ last digit of $(99)^99$ = 9

Hence the last digit of the result is equal to the last digit of

3 × 7 × 8 × 9, i.e., 2.

∴ digit at unit's place = 2

Answer: (d)

Amount received by each person

= Rs.$50176/32 = 1568$

Answer: (d)

The required no. is 3[4 (7x + 4) + 1] + 2 = 84x + 53

So the remainder is 53, when divided by 84.

Answer: (a)

Quantity of wheat for 7 days = 112 kg

∴ Quantity of wheat for 1 day = $112/7$ kg

∴ Quantity of wheat for 69 days

= $112/7$ × 69 = 1104 kg