Quantitative Aptitude — Detailed Notes & 50 MCQs

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Quantitative Aptitude: Detailed Notes

Below are the key chapters, definitions, and examples explained for C-CAT and competitive exams. Use the toggles to explore each topic.

1. Number System

Definition: Classification of numbers into natural, whole, integers, rational, irrational, real.
Example: 25 is a natural, whole, integer, rational and real number.
Key Formula: LCM × HCF = Product of two numbers.

2. Percentages

Definition: Percentage means per hundred.
Formula: (Value/Total) × 100.
Example: If marks = 45 out of 60, % = (45/60) × 100 = 75%.

3. Profit and Loss

CP: Cost Price, SP: Selling Price.
Profit %: (Profit/CP) × 100, Loss %: (Loss/CP) × 100.
Example: CP=100, SP=120 → Profit=20, Profit%=20%.

4. Simple Interest & Compound Interest

SI Formula: (P×R×T)/100.
CI Formula: P(1+R/100)^T – P.
Example: P=1000, R=10%, T=2 years → SI=200.

5. Ratio and Proportion

Definition: Comparison of two numbers.
Example: 2:3 is ratio, 2/3 = 4/6 shows proportion.

6. Time, Speed and Distance

Formula: Speed = Distance / Time.
Example: Distance=100 km, Time=2 hr → Speed=50 km/hr.

7. Time and Work

Formula: Work = Rate × Time.
Example: If A completes in 10 days, B in 15 days, together = (10×15)/(10+15) = 6 days.

8. Algebra, Geometry & Mensuration

Algebra: Use of symbols and equations.
Geometry: Study of shapes, angles, areas, volumes.
Mensuration: Surface area & volume formulas (Cube, Sphere, Cylinder).

9. Permutation, Combination & Probability

Permutation: Arrangement (nPr).
Combination: Selection (nCr).
Probability: Favorable / Total outcomes.

50 Practice MCQs — Quantitative Aptitude

Correct answers are highlighted in green. Questions cover all major topics like Number System, Percentages, Profit & Loss, Time-Work, Speed-Distance, SI-CI, Ratio, Probability.

1. The LCM of 20 and 28 is:

A) 80

B) 140

C) 180

D) 200

2. If 25% of x = 45, then x = ?

A) 150

B) 180

C) 200

D) 225

3. A shopkeeper bought an item for Rs. 500 and sold it for Rs. 650. Profit %?

A) 25%

B) 30%

C) 32%

D) 28%

4. Find Simple Interest on Rs. 4000 at 10% for 3 years.

A) 1000

B) 1200

C) 1400

D) 1600

5. A train covers 180 km in 3 hours. Its speed?

A) 50 km/hr

B) 60 km/hr

C) 70 km/hr

D) 75 km/hr

6. The HCF of 72 and 120 is:

A) 18

B) 24

C) 36

D) 48

7. The ratio of 2 hours to 90 minutes is:

A) 2:3

B) 4:3

C) 4:3

D) 5:4

8. Compound Interest on Rs. 5000 at 10% for 2 years is:

A) 1000

B) 1050

C) 1050

D) 1100

9. The average of 10, 20, 30, 40, 50 is:

A) 20

B) 30

C) 25

D) 35

10. A man can do a work in 12 days, another in 16 days. Together they finish in:

A) 7 days

B) 6.857 days

C) 8 days

D) 9 days

11. If selling price is 80% of marked price and discount given is Rs. 40, find marked price.

A) Rs. 200

B) Rs. 200

C) Rs. 160

D) Rs. 240

12. What is 15% of 260?

A) 39

B) 39

C) 36

D) 42

13. A invests Rs. 5000 for 2 years at 10% p.a. simple interest. B invests Rs. 3000 for 2 years at 12% p.a. simple interest. Who gets more interest and by how much?

A) A by Rs. 40

B) A by Rs. 40

C) B by Rs. 40

D) Equal

14. If a:b = 3:4 and b:c = 6:5, then a:c = ?

A) 9:10

B) 9:10

C) 18:25

D) 5:6

15. The probability of getting a prime number when a die is rolled is:

B) 1/2

C) 1/3

D) 2/3

16. 20% of a number is 60. The number is:

A) 300

B) 300

C) 200

D) 150

17. If speed is increased by 20%, time taken decreases by:

A) 20%

B) 16.66%

C) 25%

D) 10%

18. A bag contains 5 red and 3 blue balls. Probability of drawing a red ball is:

A) 3/8

B) 5/8

C) 1/2

D) 5/3

19. Find the value of (3/4) of 160.

A) 110

B) 120

C) 120

D) 100

20. A can do a job in 8 days, B in 12 days. If they work together but B leaves after 3 days, total days to finish?

A) 5 days

B) 6 days

C) 5.5 days

D) 4.5 days

21. If the circumference of a circle is 44 cm, its radius is:

A) 7 cm

B) 7 cm

D) 21 cm

22. Simple interest on Rs. 2500 for 3 years at 8% p.a. is:

A) 600

B) 600

C) 500

D) 700

23. Convert 0.125 into fraction.

A) 1/6

B) 1/8

C) 3/25

D) 2/15

24. If x^2 = 81, x = ?

B) ±9

D) 0

25. What is 15×14 - 14×13 ?

A) 14

B) 14

D) 0

26. The median of 2,5,9,12,15 is:

B) 9

D) 8

27. What is 7^2 + 7^1 ?

A) 56

B) 56

D) 63

28. If x:y = 2:3 and x+y=25, find x.

B) 10

C) 15

D) 5

29. A number when divided by 7 gives remainder 3. Which of following could be the number?

A) 20

B) 24

C) 28

D) 21

30. If 5x = 75, x = ?

A) 10

B) 15

C) 20

D) 25

31. Find LCM of 9 and 12.

A) 18

B) 36

C) 48

D) 24

32. Which is larger: 2/3 or 3/5 ?

A) 2/3

B) 2/3

C) equal

D) 3/5

33. If a number is increased by 20% and then decreased by 20%, net change is:

A) 0%

B) -4%

C) +4%

D) -2%

34. The perimeter of a square is 48 cm. Area is:

A) 144 cm^2

B) 144 cm^2

C) 169 cm^2

D) 196 cm^2

35. 9×9 - 8×8 = ?

A) 17

B) 17

C) 1

D) 81

36. If 3a = 12, value of a is:

A) 2

B) 4

C) 3

D) 6

37. Probability of getting an even number when a fair die is rolled is:

A) 1/3

B) 1/2

C) 2/3

D) 1/6

38. 11% of 900 = ?

A) 99

B) 99

C) 90

D) 9

39. Simplify: 50/5 + 6 = ?

A) 10

B) 16

C) 20

D) 56

40. If x = 3 and y = 4, value of x^2 + y^2 = ?

A) 25

B) 25

C) 7

D) 12

41. Find the simple interest on Rs. 800 for 2 years at 5% p.a.

A) 80

B) 80

C) 90

D) 100

42. Which of these is a prime number?

A) 21

B) 49

C) 23

D) 27

43. If 12x = 144, x = ?

A) 10

B) 12

C) 14

D) 18

44. The area of a rectangle 5 by 8 is:

A) 40

B) 40

C) 13

D) 20

45. 30% of 150 = ?

A) 30

B) 45

C) 50

D) 60

46. A number divisible by 3 and 4 is divisible by:

A) 6

B) 12

C) 7

D) 9

47. 125 as a fraction = ?

A) 125/1

B) 125/1

C) 25/5

D) 5/125

48. If a = 5 and b = 2, value of (a-b)(a+b) = ?

A) 9

B) 21

C) 7

D) 3

49. The next prime after 11 is:

A) 12

B) 13

C) 14

D) 15

50. In how many ways can the letters of the word “APTITUDE” be arranged?

A) 40320

B) 20160

C) 5040

D) 720

Note: Practice all 50 questions. Mix topics to strengthen aptitude speed and accuracy for C-CAT and other exams.