lcm and hcf Model Questions & Answers, Practice Test for ibps rrb clerk asst multipurpose prelims 2024

ibps rrb clerk asst multipurpose prelims 2024 SYLLABUS WISE SUBJECTS MCQs

Number System

Lcm & Hcf

Simplification

Percentage

Time & Work

Time & Distance

Question :26

Consider the following decimal numbers
I. 1.16666666... II. 1.181181118...
III. 2.010010001... IV. 1.454545...
Which of the above numbers represent(s) rational number (s)?

Answer: (b)

Since, 1.16666... and 1.454545... are recurring numbers and we know that recurring numbers represent rational numbers.

So, that I and IV are rational numbers.

Question :27

If (x + k) is the HCF of $x^2 + 5x + 6 and .x^2$ + 8x + 15, then what is the value of k ?

Answer: (a)

As (x + k) is HCF

∴ F(–k) = $k^2 – 5k + 6 = k^2$ – 8k + 15

⇒3k = 9⇒k = 3

Question :28

Two unequal pairs of numbers satisfy the following conditions:

Answer: (a)

As, HCF of two numbers are 12.

Let two numbers are12a and 12b

then,12a × 12b = 2160 Þ ab = 15

∴ sets of numbers are (1, 15) and (3, 5)

means of set of numbers are 8 and 4

means of means = 6

∴ Req. number = 6 × 12 = 72

Question :29

Which one of the following is correct?

Answer: (c)

Question :30

If HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m – n, n, respectively ? (m > n)

Answer: (b)

HCF of m and n is 1.

∴ HCF (m + n, m) = 1

and HCF (m – n, n) = 1

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