number system Model Questions & Answers, Practice Test for ibps po prelims 2023

Answer: (c)

The remainder would be given by:

(5 × 7 × 10 × 23 × 27)/34 → 35 × 230 × 27/34

→ 1 × 26 × 27/34 = 702/34 → remainder = 22.

Answer: (b)

Dividend = quotient × Divisor + Remainder

According to the question

D = 5Q and D = 2R

But R = 15, D = 30,

5Q = 30, Q = 6.

Dividend = DQ + R = 30 × 6 + 15 = 195

Answer: (d)

$(0.\ov1)^2[1 - 9(0.\ov16)^2]$

= $(1/9)^2[1 - 9 × (16/99)^2]$

= $1/81[1 - 9 × 256/9801]$

= $1/81[1 - 256/1089] = 1/81 × 833/1089 = 833/88209$

Answer: (b)

Let there be n natural numbers and 'x' be the number missed out.

Now, ${n(n + 1)}/2 - x = 177$

n (n + 1) – 2x = 354

n (n + 1) = 354 + 2x

Out of the given options only x = 13 satisfies it, as

19 (19 + 1) = n (n + 1) = 354 + 2 (13) = 380

Answer: (c)

Total number of candles = 15 × 12 × 39 = 7020