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

Answer: (c)

In this question it is advisable to raise all the numbers to the power of 12, so the numbers become

$(2^{1/2})^12, (3^{1/3})^12, (4^{1/4})^12, (6^{1/6})^12$

or $2^6, 3^4, 4^3, 6^2$ or 64, 81, 64, 36

So, $3^{1/3}$ is the largest.

Answer: (b)

When a polynomial is divided by a linear polynomial, then the remainder is either constant or zero polynomial.

Answer: (b)

(If p + q < p – q and if p + q > p – q)

⇒ q + q < 0 ⇒q > – q

⇒ q < 0 ⇒ 2q > 0

1 is true

⇒ q > 0

⇒ q must be positive

⇒ p is also positive

⇒ (2) is true.

∴ option (c) is correct

Answer: (c)

Decimal equivalents of fractions

$7/8 = 0.875, 4/5$ = 0.8

$8/14 = 0.57, 3/5 = 0.6$

$5/6$ = 0.83

∴ 0.875 > 0.83 > 0.8 > 0.6 > 0.57

∴ $7/8 > 5/6 > 4/5 > 3/5 > 8/14$

Answer: (e)

Suppose numbers are x and y

$∴ x × 3/4 = 5/6 × y$

$x/y = 5/6 × 4/3s$

$x/y = 10/9$