Powerful SSC CGL Square Roots MCQs with Detailed Solutions 2026

Practice SSC CGL Square Roots MCQs with detailed explanations, shortcut tricks, and Tier-II level questions. Improve speed, accuracy, and exam confidence with expertly designed practice questions.

1. What is the square root of 1764?

A. 38 B. 40

B. 42 D. 44

Correct Answer: C. 42

Explanation:

Since’ 42² = 42 ×42 = 1764

∴ Square root of 1764= 42

Remember important perfect squares:

38² = 1444

39² = 1521

40² = 1600

41² = 1681

42² = 1764

43² = 1849

2. Find the value of

A.42 B. 43

B. 44 D. 45

Correct Answer: D. 45

Explanation:

45²= 2025

Hence = 45

3. What is the least number that must be added to 990 so that it becomes a perfect square?

A. 32 B. 34

C. 11 D. 14

Correct Answer: B. 34

Explanation

Nearest perfect squares:

31²= 961

32²=1024

Difference: 1024 – 990 =34

990 + 34 =1024

The least number that must be added to 990 to make it a perfect square is 34

4 . Evaluate

A. 0.09 B. 0.9

C. 0.81 D. 9

Correct Answer: A. 0.09

Explanation:

Since 0.09 × 0.09=0.0081

∴ = 0.09

5. Find

A. 8/9 B. 7/8

C. 7/9 D. 9/7

Correct Answer: C. 7/9

Explanation:

6. If = 17, then the value of x is

A. 278 B. 289

C. 299 D. 306

Correct Answer: B. 289

Explanation:

= 17

Squaring both sides

x = 17²

= 289

7. Which of the following numbers is not a perfect square?

A. 1296 B. 1600

C. 1458 D. 1681

Correct Answer: C. 1458

Explanation:

1296 = 36²

1600 = 40²

1681 = 41²

1458 is not the square of any integer

Shortcut Trick

Memorise squares from 1 to 50. It saves valuable exam time.

8. A square park has an area of 3249 m². What is the length of each side?

A. 55 m B. 56 m

C. 57 m D. 58 m

Correct Answer: C. 57 m

Explanation:

For a square,

Area = (Side)²

Therefore,

(Side)² = 3249

Side = = 57

SSC CGL Percentages

9. Find the least number that must be subtracted from 1750 to make it a perfect square.

A. 59 B. 29

C. 69 D. 39

Correct Answer: C. 69

Explanation

41²=1681
42²=1764
1750 – 1681= 69

Thus, 69 is the least number to be subtracted.

SSC CGL Square Roots MCQs

10. Evaluate

A. 0.12 B. 1.2

C. 12 D. 0.24

Correct Answer: B. 1.2

Explanation

1.2 × 1.2 = 1.44
=1.2

11. If = 24

A. 484 B. 576

C. 625 D. 676

Correct Answer: B. 576

Explanation:

= 24

Squaring both sides,
x = 24²= 576

12. Which of the following is a perfect square?

A. 1520 B. 1521

B. 1523 D. 1525

Correct Answer: B. 1521

Explanation:
39²= 1521

The remaining numbers are not perfect squares.

Shortcut Trick

Memorize squares from 30² to 50².

13. Which one of the following numbers has an irrational square root?

A. 225 B. 256

C. 320 D. 400

Correct Answer: C. 32

Explanation:

225 = 15²

256 = 16²

400 = 20²

320 is not a perfect square.

√ 320 is an irrational square root

14. Find the value of

A. 79 B. 80

C. 81 D. 82

Correct Answer: C. 81

Explanation

Memorize frequently used perfect squares:

- 36² = 1296
- 45² = 2025

This saves valuable calculation time.

15. Which one of the following is not a perfect square?

A. 2500 B. 2601

C. 2700 D. 2809

Correct Answer: C. 2700

Explanation

2500 = 50²

2601 = 51²

2809 = 53²

2700 is not a perfect square.

16. The side of a square is 48 cm. Find its area.

A. 2204 cm² B. 2256 cm²

C. 2304 cm² D. 2400 cm²

Correct Answer: C. 2304 cm²

Explanation

Area = 48²
=2304cm²

17. Simplify

A. 50 B. 51

C. 52 D. 53

Correct Answer: B. 51

Explanation

18. Which of the following numbers can never be a perfect square?

A. A number ending in 6

B. A number ending in 5

C. A number ending in 2

D. A number ending in 9

Correct Answer: A number ending in 2

Explanation

A perfect square can end only with 0, 1, 4, 5, 6, or 9

A perfect square never ends with 2, 3, 7, or 8.

Hence, a number ending in 2 cannot be a perfect square.

Important SSC CGL Square Root Shortcuts

Perfect squares never end in 2, 3, 7, or 8.
Numbers ending in 25 usually have square roots ending in 5

(e.g., 2025 = 45², 7225 = 85²).

Use nearby squares to estimate roots quickly (e.g., 39² = 1521, 40² = 1600).
For decimals, ignore the decimal point first, find the square root, then place the decimal correctly.
For fractions, use:
Area of a square = (Side)², so Side = √Area.
Memorize perfect squares from 1² to 100²

Squares and Square Roots Tables

SSC CGL Square Roots MCQs

SSC CGL Quantitative Aptitude Topics

Number System
Decimals
Fractions
Percentages
Ratio & proportion
Square roots
Averages
Interest (simple & compound)
Profit & loss
Discount
Partnerships
Mixture & alligation
Time & speed & distance
Time & work.
Advanced math includes basic algebraic identities
Elementary surds
Graphs of linear equations
Triangles
Circles
Regular polygons, right prisms, cones, cylinders, spheres
Trigonometry.

Powerful SSC CGL Square Roots MCQs with Detailed Solutions 2026