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
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
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.
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.
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
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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