Topic-wise Practice Sets
SSC-CGL Exam
1. Number System
Q1. LCM of 12, 15, 20?
View Answer
LCM = 2² × 3 × 5 = 60
Q2. HCF of 48, 180?
View Answer
HCF = 12
Q3. Unit digit of 7³⁵?
View Answer
7 powers cycle: 7,9,3,1 → 35 mod 4 = 3
Unit digit = 3
Q4. Simplify: √50 × √2
View Answer
√100 = 10
2. Percentage
Q1. 20% of 250?
View Answer
50
Q2. Successive discounts: 20%, 10% → Effective discount?
View Answer
1−(0.8×0.9)=0.28
28%
3. Profit, Loss & Discount
Q1. CP = ₹500, SP = ₹600 → Profit?
View Answer
Profit = 600−500 = 100
Q2. Marked price = ₹1000, discount 10% → SP?
View Answer
SP = 1000×0.9
900
4. Simple & Compound Interest
Q1. SI on ₹5000 at 5% p.a. for 2 years?
View Answer
SI = (5000×5×2)/100
500
Q2. CI annually: ₹1000 at 10% for 2 years?
View Answer
Year1: 1000×0.1=100 → 1100
Year2: 1100×0.1=110 → Total = 1210
1210
5. Ratio & Proportion
Q1. Divide ₹600 in 2:3 ratio?
View Answer
2+3=5 → 600×2/5=240, 600×3/5=360
240 and 360
Q2. Partnership: A: ₹5000, B: ₹7000 → Profit ₹1200 → Share of A?
View Answer
5000:7000=5:7 → A's share = 1200×5/12
500
6. Average
Q1. Average of 10, 20, 30, 40?
View Answer
(10+20+30+40)/4
25
Q2. Weighted average: 5×2 + 3×3?
View Answer
(5×2 + 3×3)/(5+3) = (10+9)/8
2.375
7. Time, Speed & Distance
Q1. Car travels 120 km in 2 hr → Speed?
View Answer
120/2
60 km/h
Q2. Two trains 100 km apart, moving towards each other 40 km/h & 60 km/h → Meet in?
View Answer
Time = 100/(40+60)
1 hour
8. Time & Work
Q1. A can do a work in 10 days, B in 15 days → Together?
View Answer
1/10 +1/15=1/6
6 days
Q2. Pipe fills tank in 12 hr, emptying pipe 16 hr → Net time?
View Answer
1/12−1/16=1/48
48 hours
9. Algebra
Q1. Simplify: (x² − 9)/(x+3)
View Answer
(x−3)
Q2. Solve: x²−5x+6=0
View Answer
x=2,3
10. Mensuration
Q1. Area of circle r=7?
View Answer
πr²=22/7×7²
154
Q2. Volume of cube a=5?
View Answer
V=a³
125
11. Geometry
Q1. Triangle angles sum?
View Answer
180°
Q2. Perimeter rectangle l=10,b=5?
View Answer
2(l+b)=2(10+5)
30
12. Trigonometry
Q1. sin²θ + cos²θ = ?
View Answer
1
Q2. tanθ = ? if sinθ=3/5, cosθ=4/5
View Answer
tanθ = sinθ/cosθ
3/4
13. Coordinate Geometry
Q1. Distance (2,3) & (5,7)?
View Answer
√[(5−2)²+(7−3)²]
5
Q2. Midpoint (2,3)&(8,7)?
View Answer
(5,5)
14. Data Interpretation
Q1. Table: 2020 Boys=120, Girls=80 → % Boys?
View Answer
120/200 ×100
60%
Q2. Line Graph Profit Jan=5, Apr=10 → % Increase?
View Answer
(10−5)/5×100
100%
15. Data Sufficiency
Q1. Find x:
1. x+7=12
2. x−3=5
View Answer
Statement 1 → x=5 → sufficient
Statement 2 → x=8 → sufficient
Option 4: Each alone sufficient
16. Miscellaneous (Probability, P&C, Simplification)
Q1. 3 letters from A,B,C,D → arrangements?
View Answer
4P3=24
Q2. 2 letters from A,B,C,D → combinations?
View Answer
4C2=6
Q3. Roll die → probability of even number?
View Answer
3/6
1/2
Q4. Simplify: (x²−16)/(x−4)
View Answer
x²−16 = (x−4)(x+4)
x+4
Complete Topic-wise Practice Set for SSC CGL Quantitative Aptitude
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