number systems Model Questions & Answers, Practice Test for ibps clerk mains

Answer: (a)

Number of account up to Rs. 10,000

= 532 – 218

= 314 accounts.

Rest of accounts of men deposits

= 302 – 102 = 200 accounts

Number of accounts of women deposits

= 314 – 200 = 114

Answer: (a)

n = $p_1^{x_1} p_2^{x_2} p_3^{x_3}$

where $P_1 , P_2$ and $P_3$ are distinct prime numbers

So no. of factors = $x_1 x_2 x_3$

Answer: (d)

Let x be the no of eggs already present in the basket.

Then, no. of eggs on each successive days:

x, 2x, 4x, 8x, ............ upto 24 days.

From here, we can see that number of eggs are getting doubled on each successive days.

On 24th day basket was filled completely.

∴ On 23rd day basket was filled = $1/2$

Hence, on 22nd day basket was filled = $1/2(1/2) = 1/4$

Answer: (c)

The digit in the unit's place of $2^51$ is equal to the remainder

when $2^51$ is divided by 10.

$2^5$ = 32 leaves the remainder 2 when divided by 10.

Then $2^50 = (2^5)^10$ leaves the remainder $2^10 = (2^5)^2$

which in turn leaves the remainder $2^2$ = 4.

Then $2^51 = 2^50×2$, when divided by 10, leaves the remainder 4 × 2 = 8.

Answer: (b)

A + A + 2 + A + 4 + A + 6 = 180

4A + 12 = 180 ⇒ A = 42.

∴ Next four consecutive even numbers are

50 + 52 + 54 + 56 = 212