✅ 100 MCQ on – Quantitative Aptitude with answer at the end(SSC CGL 2025 )

 

✅ 100 MCQ on – Quantitative Aptitude with answer at the end(SSC CGL 2025 )



🔹 Simple Level (1–33)

  1. What is 25% of 240?
    A) 40 B) 50 C) 60 D) 70

  2. If a number is increased by 20% and then decreased by 20%, the net change is:
    A) 0% B) −4% C) +4% D) −2%

  3. 7/8 expressed as a decimal is:
    A) 0.78 B) 0.875 C) 0.8750… D) 0.085

  4. LCM of 12 and 18 is:
    A) 36 B) 54 C) 12 D) 6

  5. The square root of 144 is:
    A) 10 B) 11 C) 12 D) 14

  6. If x : y = 3 : 4 and x = 9, then y =
    A) 10 B) 12 C) 13 D) 15

  7. Average of 10, 20 and 30 is:
    A) 15 B) 20 C) 25 D) 30

  8. A shopkeeper sells an article for ₹330 at 10% profit. The cost price is:
    A) ₹300 B) ₹297 C) ₹280 D) ₹310

  9. Simple interest on ₹2000 at 5% per annum for 3 years is:
    A) ₹300 B) ₹350 C) ₹250 D) ₹200

  10. If speed = 60 km/h, time to cover 150 km is:
    A) 2 h B) 2.5 h C) 3 h D) 4 h

  11. If 5 men do a job in 20 days, 10 men will do it in:
    A) 10 days B) 15 days C) 20 days D) 5 days

  12. 15% of 200 =
    A) 20 B) 25 C) 30 D) 35

  13. 6³ equals:
    A) 18 B) 36 C) 216 D) 1296

  14. 0.05 as a fraction is:
    A) 5/1000 B) 1/20 C) 5/100 D) 1/200

  15. If a:b = 2:5, then (3a + 2b):(a + b) =
    A) 7:7 B) 16:7 C) 16:35 D) 7:5

  16. Which number leaves a remainder 4 when divided by 9?
    A) 22 B) 31 C) 40 D) 50

  17. If a = 5, b = 3, then a² − b² =
    A) 16 B) 8 C) 4 D) 10

  18. Area of a rectangle of length 12 cm and breadth 5 cm is:
    A) 17 B) 60 C) 24 D) 120

  19. What is 1/3 of 150?
    A) 40 B) 50 C) 60 D) 45

  20. Convert 1500 metres to kilometres:
    A) 0.15 B) 1.5 C) 15 D) 150

  21. A number increased by 30 equals 80. The number is:
    A) 40 B) 45 C) 50 D) 60

  22. Probability of getting heads on a single coin toss:
    A) 0 B) 1/2 C) 1/3 D) 2/3

  23. 45 × 0 =
    A) 0 B) 45 C) 1 D) Undefined

  24. If two angles of a triangle are 50° and 60°, the third angle is:
    A) 70° B) 80° C) 90° D) 60°

  25. Which is greater:
    A) 3/4 B) 5/8 C) Equal D) Cannot say

  26. Sum of first 5 natural numbers:
    A) 10 B) 15 C) 20 D) 25

  27. If x = 2, value of 3x + 4 =
    A) 6 B) 8 C) 10 D) 12

  28. If 2x = 14, x =
    A) 5 B) 6 C) 7 D) 8

  29. Perimeter of a square of side 7 cm is:
    A) 14 B) 21 C) 28 D) 49

  30. Which of these is a prime number?
    A) 21 B) 27 C) 29 D) 33

  31. If a:b = 4:1 and a + b = 25, then a =
    A) 20 B) 10 C) 5 D) 15

  32. 1000 ÷ 25 =
    A) 20 B) 25 C) 40 D) 50

  33. If a = 4, b = 2, then (a/b)² =
    A) 2 B) 4 C) 6 D) 8


🔹 Moderate Level (34–66)

  1. If 2x + 3 = 11, then x =
    A) 3 B) 4 C) 5 D) 2

  2. CI on ₹1000 for 2 yrs at 10% per annum =
    A) ₹100 B) ₹110 C) ₹210 D) ₹200

  3. A train 150 m long crosses a platform 350 m long in 40 s. Speed is:
    A) 36 km/h B) 45 km/h C) 54 km/h D) 63 km/h

  4. A and B can do a work in 12 and 15 days. Together they take:
    A) 6.67 days B) 7 days C) 6 days D) 8 days

  5. Income ratio of A and B is 5:4. A pays 20% tax, B pays 30%. Who has higher net income?
    A) A B) B C) Equal D) Cannot say

  6. Net discount for 10% and 20% successive discounts is:
    A) 30% B) 28% C) 18% D) 12%

  7. Mean of 2,4,6,8,x is 7. Find x.
    A) 15 B) 14 C) 16 D) 12

  8. Difference between CI and SI for 2 years on 5000 at 5% is:
    A) ₹12.50 B) ₹15 C) ₹50 D) ₹125

  9. If sin θ = 3/5 (θ acute), cos θ =
    A) 4/5 B) 3/5 C) 5/3 D) 16/5

  10. If a+b=10, ab=21, find a² + b².
    A) 58 B) 62 C) 100 D) 49

  11. Area of circle radius 7 cm (π=22/7):
    A) 154 B) 44 C) 308 D) 77

  12. Roots of x² − 5x + 6 = 0 are:
    A) 2 & 3 B) 1 & 6 C) −2 & −3 D) 3 & 4

  13. Bag has 3 red, 2 blue balls. P(red) =
    A) 2/5 B) 3/5 C) 1/2 D) 3/2

  14. A number after 10% increase becomes 462. Original number =
    A) 420 B) 430 C) 450 D) 400

  15. If 5x − 3 = 2x + 12, x =
    A) 3 B) 5 C) 4 D) 6

  16. 4 workers take 10 days. For 5 days, workers needed =
    A) 6 B) 8 C) 10 D) 12

  17. If a:b = 3:5 and b:c = 10:7, then a:c =
    A) 3:7 B) 6:7 C) 3:14 D) 3:21

  18. Median of 7,9,12,15,18 =
    A) 12 B) 13.5 C) 15 D) 9

  19. A sum doubles in 8 years at SI. Rate =
    A) 10% B) 12.5% C) 25% D) 15%

  20. A mixture 5:2 (milk:water). Remove 14 L and replace with water. New ratio 5:4. Total quantity =
    A) 63 L B) 49 L C) 70 L D) 56 L

  21. If x/2 + x/3 = 10, x =
    A) 12 B) 15 C) 18 D) 10

  22. Probability sum = 7 when 2 dice tossed:
    A) 1/6 B) 1/12 C) 1/9 D) 1/3

  23. SI on 4000 for 3 years at 6% =
    A) 720 B) 7200 C) 480 D) 600

  24. Area ratio of similar triangles is 9:16. Side ratio =
    A) 3:4 B) 9:16 C) 4:3 D) 3:8

  25. School has 600 students; 60% boys. Girls =
    A) 360 B) 240 C) 300 D) 200

  26. log10(1000) =
    A) 2 B) 3 C) 4 D) 5

  27. A invests 6000, B invests 9000. Total profit 1500. A’s share =
    A) 400 B) 500 C) 600 D) 300

  28. Compound interest follows:
    A) Linear growth B) Exponential C) Logarithmic D) Quadratic

  29. If x² = 49, x =
    A) 7 B) −7 C) ±7 D) 0

  30. Perimeter of equilateral triangle side 8 =
    A) 16 B) 24 C) 32 D) 8

  31. Ratio 0.2 : 0.02 =
    A) 2:0.2 B) 10:1 C) 1:10 D) 20:1

  32. Price after 12% VAT on ₹500 =
    A) ₹560 B) ₹612 C) ₹550 D) ₹600

  33. Average of 3 numbers is 8; two numbers are 6 and 9. Third is:
    A) 9 B) 10 C) 11 D) 8


🔹 Tough Level (67–100)

  1. Product of two consecutive even integers is 168. The integers are:
    A) 12 & 14 B) 10 & 12 C) 14 & 16 D) 8 & 10

  2. A sum becomes 7290 in 2 years and 8100 in 3 years at CI. Rate =
    A) 10% B) 12% C) 11.11% D) 9%

  3. Area of triangle with sides 13,14,15 =
    A) 84 B) 84.5 C) 90 D) 91

  4. Mean of 11 numbers is 20. After adding a number, new mean=21. The added number is:
    A) 31 B) 32 C) 33 D) 35

  5. Marked price = 20% above cost, discount 10%. Profit% =
    A) 6% B) 8% C) 10% D) 12%

  6. Solve: 1/x + 1/(x+2) = 1/3
    A) 2 + √10 B) 2 − √10 C) No real root D) Both A & B

  7. Mode of numbers 5,7,8,7,7,9,6,2,3,x should remain 7. x must be:
    A) 7 B) 8 C) 6 D) Any ≤7

  8. Box has 4 white & 6 black balls. Two drawn without replacement. P(both white):
    A) 4/45 B) 2/15 C) 6/15 D) 1/15

  9. If tan θ = 3/4 (θ acute), sec θ =
    A) 5/4 B) 4/5 C) 5/3 D) 4/3

  10. AP has a₁=3, d=4. 10th term =
    A) 39 B) 40 C) 41 D) 44

  11. A sum triples in 5 years at CI. Approx rate =
    A) 24.6% B) 26% C) 22% D) 20%

  12. Poles of heights 10 m & 20 m are 15 m apart. Distance between tops =
    A) √(15² + 10²) B) √(15² + 30²) C) 15 D) √(225 + 100)

  13. If probability of event = 0.2, odds in favour =
    A) 1:4 B) 1:5 C) 4:1 D) 1:8

  14. Sides of triangle are in ratio 3:4:5. Perimeter=72 cm. Area =
    A) 216 B) 288 C) 360 D) 432

  15. A and B invest in ratio 4:7. After 6 months A increases by 2000, B decreases by 1000. Profit ratio = 8:9. Initial investments:
    A) 2600 & 4550 B) 2000 & 3500 C) 3000 & 5250 D) 4000 & 7000

  16. Solve x³ − 27 = 0
    A) 3 only B) −3 only C) 3 and two complex roots D) 27

  17. Area of circle = area of square side 14. Radius =
    A) 7/√π B) 7√(2/π) C) 14/√π D) √(196/π)

  18. Man rows upstream at 6 km/h, downstream at 10 km/h. Stream speed =
    A) 2 B) 4 C) 3 D) 1

  19. If one root of ax²+bx+c=0 is twice the other, then:
    A) b² = (9/2)ac B) b² = 8ac C) b² = 4ac D) b² = 5ac

  20. Rice varieties ₹40/kg & ₹52/kg mixed in ratio 3:2. Sold at ₹48/kg. Profit% =
    A) 5% B) 7.14% C) 8% D) 6%

  21. From 5 men & 3 women, 3 chosen. P(at least 2 women) =
    A) [C(3,2)C(5,1)+C(3,3)] / C(8,3)
    B) C(5,3)/C(8,3)
    C) C(3,1)C(5,2)/C(8,3)
    D) None

  22. cos 2θ = 0. Smallest positive θ =
    A) 45° B) 22.5° C) 90° D) 30°

  23. Determinant |1 2; 3 4| =
    A) −2 B) 2 C) −10 D) 10

  24. Largest square from 30×20 cm sheet has side:
    A) 10 B) 5 C) 2 D) 20

  25. P(getting doublets when rolling a die twice)
    A) 1/6 B) 1/36 C) 6/36 D) 5/36

  26. Sum of first 10 terms of AP = 100, a₁=2. Common difference =
    A) 16/9 B) 18/9 C) 20/9 D) 14/9

  27. Vessel contains 20 L milk. 5 L removed twice & replaced by water. Fraction of milk left =
    A) (15/20)² B) (3/4)² C) 9/16 D) All correct

  28. If sec θ = 5/3, tan θ =
    A) 4/3 B) 3/4 C) √(16)/3 D) 4/√9

  29. A circle touches all sides of a square side 10 cm. Radius =
    A) 5 B) 4 C) 10 D) 6

  30. Box has 3 red, 4 blue, 5 green. P(blue or green) =
    A) 9/12 B) 7/12 C) 5/12 D) 3/12

  31. Solve:
    3x + 4y = 12
    x − y = 1
    A) (16/7, 9/7) B) (2,1) C) (3,1) D) (4,2)

  32. In a right triangle, hypotenuse=10, one leg=6. Other leg =
    A) 8 B) 4 C) √64 D) Both A & C

  33. Probability of choosing a perfect square from 1–100
    A) 10/100 B) 9/100 C) 11/100 D) 12/100

  34. Average of Q1–Q4 sales: 120,150,180,150 lakh =
    A) 150 B) 145 C) 160 D) 140


ANSWER KEY WITH SHORT EXPLANATIONS

1-C 25% = ¼
2-B 1.2×0.8 = 0.96
3-B 7/8 = 0.875
4-A LCM(12,18)=36
5-C √144=12
6-B 9×4/3
7-B 60/3
8-A 330/1.1
9-A 2000×5×3/100
10-B 150/60
11-A double men → half days
12-C 15% of 200
13-C 216
14-B 5/100=1/20
15-B substitute a=2k,b=5k
16-A 22÷9 remainder 4
17-A 25−9
18-B 12×5
19-B 150÷3
20-B 1500m=1.5km
21-C 80−30
22-B fair coin
23-A zero rule
24-A 180−110
25-A 0.75>0.625
26-B n(n+1)/2
27-C 6+4
28-C 14/2
29-C 4×7
30-C only 29
31-A 4 parts out of 25
32-C 1000/25
33-B (4/2)²
34-B 2x=8
35-C CI=1000(1.1²)−1000
36-B speed=0.5 km ÷ 40/3600
37-A 1/12+1/15
38-A after-tax incomes: A> B
39-B 0.9×0.8=0.72
40-A sum=35 → x=15
41-A difference=P*r²/10000
42-A √(16/25)
43-A (a+b)²−2ab
44-A (22/7)×49
45-A roots 2,3
46-B 3/5
47-A 462/1.1
48-B 3x=15
49-B inverse proportion
50-B scaling ratio
51-A middle term
52-B R=100/8
53-A solving mixture equation
54-A 5x/6=10
55-A 6 outcomes
56-A 4000×0.18
57-A √(9/16)
58-B 600−360
59-B 10³
60-C ratio 2:3
61-B CI uses (1+r)^n
62-C ±7
63-B 3×8
64-B 0.2/0.02=10
65-A 500×1.12
66-A 24−15
67-A solve n(n+1)=42
68-C 8100/7290 =1+r
69-A Heron’s formula
70-B new sum=12×21
71-B profit =1.2×0.9=1.08
72-D quadratic gives two real roots
73-A must keep 7 most frequent
74-B (4/10)(3/9)
75-A sec=√(1+tan²)
76-A a+9d
77-A r≈24.6%
78-D =√325
79-A odds = p:(1−p)=1:4
80-A ½×18×24
81-A solving capital-month equation
82-C cube root + complex roots
83-D r=√(196/π)
84-A stream=(10−6)/2
85-A derive using root relations
86-B profit=48−44.8
87-A compute required combinations
88-A 2θ=90
89-A 4−6
90-A GCD(30,20)=10
91-A 6/36
92-A 2a + 9d = 20
93-D all equivalent
94-A tan=sin/cos
95-A radius = side/2
96-A 9/12
97-A substitution gives fractional solution
98-D √64=8
99-A 10 squares
100-A 600/4

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