number system Model Questions & Answers, Practice Test for rbi grade b prelims 2024

rbi grade b prelims 2024 SYLLABUS WISE SUBJECTS MCQs

Number System

Ratio & Proportion

Time & Work

Data Sufficiency

Question :1

Kishan has some hens and some cows. If the total number of animal heads are 59 and the total number of feet are 190, how many cows does Kishan have ?

Answer: (c)

A hen has two legs whereas a cow has four legs.

But both of them have one head each.

Let Kishan have x cows

∴ Number of hens = 59 – x.

According to the question,

4 × x + (59 – x) × 2 = 190

or, 4x + 118 – 2x = 190

or, 2x = 190 – 118 = 72

∴ $x = 72/2$ = 36

Number of cows = 36

Question :2

The smallest number that must be added to 803642 in order to obtain a multiple of 11 is :

Answer: (b)

On dividing 803642 by 11,

we get remainder = 4.

∴ Required number to be added = (11 – 4) = 7.

Question :3

The number of two digit numbers exactly divisible by 3 is

Answer: (d)

Two digit numbers which are divisible by 3 are

12, 15, 18, 21, 24,------, 99.

Now, This is an A.P where a = 12, d = 3 and $a_n$ = 99.

As we know, $a_n = a + ( n – 1) d$

⇒ 99 = 12 + ( n – 1) 3 = 9 + 3n

⇒ 90 = 3n ⇒ n = 30.

Hence, there are 30 numbers which are divisible by 3.

Question :4

There are 12 dozen mangoes in a box. If there are 43 such boxes, how many mangoes are there in all the boxes together?

Answer: (a)

Number of mangoes = 12 dozens

= 12 × 12 = 144

∴ Number of mangoes in 43 boxes

= 43 × 144 = 6192

Question :5

If N is the sum of first 13,986 prime numbers, then N is always divisible by

Answer: (d)

N will be an odd number because N is sum of one even number (b) and 13985 odd numbers.

Hence, N will not be divisible by an even number.

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