SSC CGL 2026 - Quantitative Aptitude: Free Mock Test 2026

Round focus

This SSC CGL drill targets quantitative aptitude with a 20-minute clock, compact answer choices, and explanations that help you review the missed concept after the attempt.

Best attempt pattern

First solve the questions without opening explanations. Mark doubtful items, finish the full set, then compare your score with the answer notes. That gives a clearer signal than checking every solution mid-test.

After the score

Treat the result as a topic map. If the weak area is speed, repeat the same set after one day. If the weak area is concept clarity, move to the matching PapersAdda guide and come back for a timed retest.

Worked answers for all 10 questions

Attempt the timed test first. Then open each answer to compare the method, not only the option.

1. If x + 1/x = 4, what is x² + 1/x²?

Answer: 14

(x + 1/x)² = x² + 2 + 1/x² → 16 = x² + 1/x² + 2 → answer = 14.

2. The radius of a sphere is doubled. Its volume increases by a factor of:

Answer: 8

V ∝ r³. Doubling r → volume × 8.

3. sin²30° + cos²60° + tan²45° = ?

Answer: 1.5

(1/2)² + (1/2)² + 1² = 0.25 + 0.25 + 1 = 1.5.

4. A sum doubles itself in 8 years at simple interest. Rate per annum?

Answer: 12.5%

SI = P → P = P×R×8/100 → R = 12.5%.

5. The angles of a triangle are in ratio 2:3:4. The largest angle is:

Answer: 80°

Sum = 180. 2x+3x+4x = 9x = 180 → x=20. Largest = 4×20 = 80°.

6. HCF of 24, 36, 60 is:

Answer: 12

24 = 2³·3, 36 = 2²·3², 60 = 2²·3·5. HCF = 2²·3 = 12.

7. A man sells an article at 20% loss for ₹480. Cost price is:

Answer: ₹600

SP = 80% of CP → CP = 480/0.8 = 600.

8. If a:b = 2:3 and b:c = 4:5, then a:b:c is:

Answer: 8:12:15

Scale b: a:b = 8:12, b:c = 12:15 → a:b:c = 8:12:15.

9. Area of a circle is 154 cm². Its radius is:

Answer: 7 cm

πr² = 154 → r² = 154×7/22 = 49 → r = 7.

10. If 15% of a number is 60, the number is:

Answer: 400

0.15x = 60 → x = 400.