SSC CHSL 2027: Number System Divisibility Rules

30/10/2026

SSC CHSL 2027: Number System Divisibility Rules

Divisibility rules are useful shortcuts in the Number System topic for SSC CHSL 2027 quantitative aptitude preparation. They help you check whether a number is divisible by another number without performing lengthy division. Revise these common rules, study the examples and practise the questions below.

1. Important Divisibility Rules

Divisor	Divisibility Rule
2	The last digit must be 0, 2, 4, 6 or 8.
3	The sum of the digits must be divisible by 3.
4	The number formed by the last two digits must be divisible by 4.
5	The last digit must be 0 or 5.
6	The number must be divisible by both 2 and 3.
8	The number formed by the last three digits must be divisible by 8.
9	The sum of the digits must be divisible by 9.
10	The last digit must be 0.
11	The difference between the sums of alternate digits must be 0 or a multiple of 11.
12	The number must be divisible by both 3 and 4.

2. Divisibility Rules with Examples

Example 1: Is 4,572 divisible by 3?

Sum of digits = 4 + 5 + 7 + 2 = 18.

Since 18 is divisible by 3, 4,572 is divisible by 3.

Example 2: Is 3,248 divisible by 4?

The last two digits are 48. Since 48 is divisible by 4, 3,248 is divisible by 4.

Example 3: Is 7,128 divisible by 8?

The last three digits are 128. Since 128 ÷ 8 = 16, 7,128 is divisible by 8.

Example 4: Is 1,342 divisible by 11?

Sum of alternate digits from the right: 2 + 3 = 5 and 4 + 1 = 5.

The difference is 5 − 5 = 0. Therefore, 1,342 is divisible by 11.

3. SSC CHSL 2027 Practice Questions

1. Which number is divisible by 3?
A. 4,121
B. 5,214
C. 7,001
D. 8,002
Answer: B. 5,214

2. Which of the following numbers is divisible by 4?
A. 1,326
B. 2,518
C. 3,124
D. 4,222
Answer: C. 3,124

3. A number is divisible by 6 if it is divisible by:
A. 2 and 3
B. 2 and 5
C. 3 and 5
D. 4 and 9
Answer: A. 2 and 3

4. Which number is divisible by 9?
A. 4,321
B. 5,436
C. 6,215
D. 7,123
Answer: B. 5,436

5. Which number is divisible by 11?
A. 1,234
B. 1,342
C. 1,456
D. 1,567
Answer: B. 1,342

4. Frequently Asked Questions

What are divisibility rules?

Divisibility rules are shortcuts that help determine whether one number divides another exactly, without carrying out full division.

How can I check divisibility by 3 and 9?

Add all the digits. If their sum is divisible by 3, the number is divisible by 3. If their sum is divisible by 9, the number is divisible by 9.

Are these exact SSC CHSL 2027 exam questions?

No. These are practice questions for revision. Actual examination questions may differ.

Conclusion

For SSC CHSL 2027 Number System preparation, memorise the divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10, 11 and 12. Practise applying these rules to different numbers to improve calculation speed and accuracy.