number system Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

Question :1

Two numbers are in the ratio 5 : 3. If they differ by 18, then numbers are

Answer: (b)

Let numbers be 5x and 3x

∴ 5x – 3x = 18

2x = 18⇒ x= 9

∴ Numbers are 5 × 9 and 3 × 9

45 and 27

Question :2

The seven digit number 876p37q is divisible by 225. The values of p and q can be respectively

Answer: (d)

876p37q is divisible by 225 or 25 × 9.

q has to be 5 and sum of all digits must be divided by 9.

∴ p = 0 or 9 and

Hence d is satisfying the condition.

Question :3

A canteen requires 21 dozen bananas for one week. How many dozen bananas will it require for 54 days?

Answer: (c)

Required number of bananas

= $21/7 × 54 =162$ dozen

Question :4

Three friends A, B and C start running around a circular stadium and complete a single round in 24, 36 and 30 seconds respectively. After how many minutes will they meet again at the starting point?

Answer: (b)

Required time = L.C.M of 24, 36 and 30

= 360 seconds = 6 minutes

Question :5

Which one of the following is not correct?

Answer: (b)

If p × q is even then at least one of p or q is even

So the statement both p and q are even is a false statement

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