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

ibps rrb po prelims SYLLABUS WISE SUBJECTS MCQs

Number System

Profit & Loss

Averages

Percentages

Question :26

Consider the following statements:

  1. There exists a positive real number m such that cos $x = 2^{m + 1}$.
  2. mn ≥ m + n for all m, n belonging to set of natural numbers.
Which of the above statements is/are correct?

Answer: (d)

Option (d) is correct.

Question :27

A canteen requires 4,560 kgs of rice for 30 days. How many kgs, of rice does the canteen require for one week?

Answer: (e)

Required quantity of rice

= ${4560 × 7}/30$ kg = 1064 kg

Question :28

If $37/13 = 2 + 1/{x + 1/{y + 1/z}}$ where x, y, z are natural numbers, then what is z equal to?

Answer: (a)

$37/13 = 2 + 1/{x + 1/{y + 1/z}}$

⇒ $37/13$ can be expressed as

= $2 + 1/{1 + 2/11} = 2 + 1/{{1 + 1}/{5 + 1/2}}$

Now, this is compared by

$2 + 1/{x + 1/{y + 1/z}} = 2 + 1/{1 + 1/{5 + 1/2}}$

∴ z = 2

Question :29

The number 2 × 3 × 5 × 7 × 11 + 1

Answer: (c)

2 × 3 × 5 × 7 × 11 gives a number that are, divisible by 2, 3, 5, 7 and 11.

So, (2×3 × 5 × 7 × 11 + 1) gives a number that are not divisible by 2, 3, 5, 7 and 11.

Then, that number is not divisible by 4, 6 8, 9, and 10 as well.

Hence, number '(2 × 3 × 5 × 7 × 11 + 1)' is a prime number.

Question :30

The sum of three consecutive integers is 39. Which of the following is the largest among the three?

Answer: (e)

Let the three consecutive integers be x, x + 1 and x + 2

According to the question,

x + x + 1 + x + 2 = 39

or, 3x + 3 = 39

or, 3x = 39 - 3 = 36

or, x = $36/3$ = 12

∴ Required largest number = x + 2 = 12 + 2 = 14

Also, from the given alternatives, it could be ascertainal that

12 + 13 + 14 = 39

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