SSC CGL Tier I Mock Test – Quantitative Aptitude (25 Questions with Solutions)

Q1. Simplify: (256)^(1/4) × (81)^(1/2)

Answer: 144

Explanation: (256)^(1/4) = 4, (81)^(1/2) = 9 → 16 × 9 = 144.

Q2. The average of 10 numbers is 20. If one number is removed, the average becomes 19. Find the removed number.

Answer: 29

Explanation: Total of 10 numbers = 200, total of 9 numbers = 171 → Removed = 29.

Q3. A man bought a pen for ₹50 and sold it at 20% profit. What is the selling price?

Answer: ₹60

Explanation: Profit = 20% of 50 = ₹10 → Selling Price = ₹60.

Q4. Find the simple interest on ₹5000 at 12% per annum for 2 years.

Answer: ₹1200

Explanation: SI = (P × R × T)/100 = (5000×12×2)/100 = 1200.

Q5. If 12 men can do a work in 15 days, how many men are required to finish it in 10 days?

Answer: 18

Explanation: M₁D₁ = M₂D₂ → 12×15 = M×10 → M=18.

Q6. What is the value of 1/2 + 1/3 + 1/6?

Answer: 1

Explanation: LCM of 2,3,6 = 6 → (3+2+1)/6 = 1.

Q7. If the ratio of boys to girls in a class is 3:2 and there are 30 boys, how many girls are there?

Answer: 20

Explanation: 3x = 30 → x=10 → girls=2×10=20.

Q8. The sum of first 20 natural numbers is:

Answer: 210

Explanation: n(n+1)/2 = 20×21/2 = 210.

Q9. A shopkeeper marks an item at ₹800 and allows 10% discount. Find selling price.

Answer: ₹720

Explanation: SP = 800 – 10% of 800 = 720.

Q10. If a train travels 180 km in 3 hours, what is its speed?

Answer: 60 km/h

Explanation: Speed = Distance/Time = 180/3 = 60.

Q11. Find the compound interest on ₹2000 at 10% p.a. for 2 years (annually).

Answer: ₹420

Explanation: A = P(1+R/100)^T = 2000×(1.1)^2 = 2420 → CI=420.

Q12. The perimeter of a square is 48 cm. Find the area.

Answer: 144 cm²

Explanation: Side = 48/4 = 12 cm → Area = 12² = 144.

Q13. A can complete a work in 10 days and B in 15 days. Together they can complete in how many days?

Answer: 6 days

Explanation: 1/10 + 1/15 = 1/6 → 6 days.

Q14. The average of 5 consecutive even numbers is 42. Find the largest number.

Answer: 46

Explanation: Middle term = 42 → largest = 46.

Q15. The HCF of 72 and 108 is:

Answer: 36

Explanation: Prime factorization → 2²×3² = 36.

Q16. If 12% of a number is 36, what is the number?

Answer: 300

Explanation: 36 = 12% of x → x=300.

Q17. The probability of getting a head in a coin toss is:

Answer: 1/2

Explanation: 1 favorable outcome / 2 total outcomes.

Q18. A sum of money doubles in 8 years at simple interest. Find the rate.

Answer: 12.5%

Explanation: SI = P in 8 years → (P×R×8)/100=P → R=12.5%.

Q19. If the cost price is ₹500 and the selling price is ₹600, find the profit percentage.

Answer: 20%

Explanation: Profit=100/500×100=20%.

Q20. A train 120 m long crosses a pole in 6 seconds. Find its speed.

Answer: 72 km/h

Explanation: Speed=Distance/Time=120/6=20 m/s=72 km/h.

Q21. The value of (2/5) ÷ (3/10) is:

Answer: 4/3

Explanation: (2/5)×(10/3)=20/15=4/3.

Q22. The selling price of an article is ₹690 after 8% discount. Find the marked price.

Answer: ₹750

Explanation: SP=92% of MP → MP=690/0.92=750.

Q23. If the perimeter of a rectangle is 50 cm and length is 15 cm, find the breadth.

Answer: 10 cm

Explanation: 2(l+b)=50 → l+b=25 → b=10.

Q24. The LCM of 18 and 24 is:

Answer: 72

Explanation: Common multiple = 72.

Q25. The mean of 6 numbers is 8. If one number is removed, the mean becomes 7. Find the removed number.

Answer: 13

Explanation: Total=48, total of 5=35 → Removed=13.