Basic Arithmetic

6 questions available

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All Number System 55 Fractions & Decimals 52 BODMAS & Simplification 53 Factors & Multiples 1 LCM & HCF 5 Divisibility 6 Approximation 30
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Q1.If "P" is a prime number greater than 3, then (P²-1) is always divisible by:

Medium
A 6 but not 12
B 24
C 12 but not 24
D None of these
Divisibility PPSC 2026

Correct Answer: B

For any prime P>3, P²-1 is always divisible by 24.

Q2.Is 3200 divisible by?

Medium
A 2
B 2,5,10
C 10
D 11
Divisibility PPSC

Correct Answer: B

3200 ends in 00, so it is divisible by 2 (even), 5 (ends in 0), and 10 (ends in 0). Hence it is divisible by all three: 2, 5, 10.

Q3.The product 5 × 3 is divisible by?

Medium
A 2
B 3
C 4
D 7
Divisibility PPSC

Correct Answer: B

The product 5 × 3 is 15. 15 is divisible by 3, but not evenly by 2, 4, or 7.

Q4.The division 7763 ÷ 5 gives 1553 exactly. True or False?

Medium
A True
B False
C
D
Divisibility PPSC

Correct Answer: B

7763 ÷ 5 = 1552 with a remainder of 3, or 1552.6, so it is not 1553 exactly.

Q5.Does 225 divide evenly by 5 and 10?

Medium
A Divisible by 5, not divisible by 10
B Divisible by 10, not divisible by 5
C Divisible by both 5 and 10
D Divisible by neither 5 nor 10
Divisibility PPSC

Correct Answer: A

225 ends in 5, so it is divisible by 5 (225 / 5 = 45). However, it does not end in 0, so it is not evenly divisible by 10.

Q6.What is the largest 4-digit number exactly divisible by 88?

Medium
A 8088
B 9944
C 8888
D 9988
Divisibility PPSC

Correct Answer: B

The largest 4-digit number is 9999. 9999 ÷ 88 = 113.625. Earning integer product: 113 × 88 = 9944.