SSC CGL Fractions MCQs with Answers and Explanations
Practice SSC CGL Fractions MCQs with detailed answers, shortcut tricks, and explanations. Latest SSC CGL Tier-I & Tier-II fraction questions for exam preparation.
1. What is the value of 3/4 +5/8?
A. 1⅜ B. 1¼
C. 1½ D. 1⅝
Correct Answer: A. 1⅜
Explanation:
3/4=6/8
3/4 +5/8 = 6/8 + 5/8
=11/8
=1⅜
Shortcut Trick: Convert to the same denominator first.
2. Find the value of 7/12 – 1/8.
A. 11/24 B. 13/24
C.9/24 D. 7/24
Correct Answer: A. 11/24
Explanation:
LCM of 12 and 8 = 24
7/12 =14/24}
1/8=3/24
(14 – 53)/24=11/24
3. Simplify 15/28 × 14/25.
A.3/10 B. 2/5
C.1/2 D. 5/14
Correct Answer: A. 3/10
Explanation:
Shortcut Trick: Cross-cancel before multiplication.
4. What is the reciprocal of 7/11?
A.11/7 B. 7/11
C. 18/11 D. 4/11
Correct Answer: A. 11/7
Explanation:
Reciprocal means the numerator and denominator interchange.
The reciprocal of 7/11 = 11/7
5. Which fraction is the greatest?
A. 5/8 B. 7/12
C. 3/5 D. 11/20
Correct Answer: A. 5/8
Explanation:
5/8=0.625
7/12=0.5833
3/5=0.6
11/20=0.55
Largest = 5/8
6. Find 4/9 ÷ 2/3.
A. 2/3 B. 1/2
C. 3/2 D. 4/3
Correct Answer: A. 2/3
Explanation:
4/9 ÷ 2/3 = 4/9 × 3/2
=2/3
Shortcut Trick: Division of fractions = Multiply by the reciprocal.
7. If x/15} =4/5 then x = ?
A. 10 B. 11
C 12 D. 14
Correct Answer: C. 12
Explanation:
x/15} =4/5
x= (4/5) × 15
=12
8. A number is multiplied by 3/5 and becomes 36. The number is:
A.50 B. 60
C. 72 D. 90
Correct Answer: B. 60
Explanation:
Let the number = x
x × (3/5) =36
x = 36 ×5/3= 60
Shortcut Trick: Multiply by the reciprocal.
SSC CGL Fractions MCQs
9. What fraction of an hour is 20 minutes?
A.1/2 B. 1/3
C. 1/4 D. 2/5
Correct Answer: B. 1/3
Explanation:
60 minutes = 1 hours
1 minute = 1/60 hours
20 minutes = 20/60 hours
= 1/3 hours
10. Simplify: 5/6 + 7/9
A. 29/18 B. 31/18
C. 25/18 D. 23/18
Correct Answer: A. 29/18
Explanation:
LCM = 18
5/6 + 7/9 = (15 + 14)/18
= 29/18
11. The fraction equivalent to 9 /12 is:
A. 2/3 B. 3/4
C.4/5 D. 5/6
Correct Answer: B. 3/4
Explanation:
9/12 = 3/4
12. If 3/7 of a number is 27, find the number.
A.49 B. 56
C. 63 D. 72
Correct Answer: C. 63
Explanation:
Let the number = x
3/7 of x = 27
x = 27 × (7/3)
=63
SSC CGL Fractions MCQs
13. Find the value of: 2/5 + 3/10 – 1/4
A. 9/20 B. 11/20
C.7/20 D. 13/20
Correct Answer: A. 9/20
Explanation:
LCM (4, 5, 10) = 20
2/5 + 3/10 – 1/4 = 8/20 + 6/20 – 5/20
= 9/20
14. Which fraction lies exactly midway between 1/3 and 2/3?
A. 1/2 B. 5/9
C. 7/12 D. 3/5
Correct Answer: A. 1/2
Explanation:
The fraction lies exactly midway between 1/3 and 2/3
= 1/2(1/3 + 2/3)
= 1/2(1 ) = 1/2
15. If 4/5 of a quantity is 96, then the quantity is:
A. 100 B. 110
C. 120 D. 125
Correct Answer: C. 120
Explanation:
Quantity = 96 × 5/4
=120
16. What is the product of the reciprocal of 3/7 and 14/9?
A. 98/27 B. 28/27
C. 14/21 D. 49/27
Correct Answer: A. 98/27
Explanation:
Reciprocal of 3/7 = 7/3
3/7 × 14/9 = 98/27
17. If 2/5 of a class are girls and there are 24 girls, the total number of students is:
A. 50 B. 55
C. 60 D. 65
Correct Answer: C. 60
Explanation:
Let total Students = x
2/5 of x =24
2/5 × x = 24
x = 24 × 2/5
x =60
18. Find: 7/8 – 5/16
A. 7/16 B. 9/16
C. 11/16 D. 13/16
Correct Answer: B. 9/16
Explanation:
7/8 – 5/16 = (14 – 5)/16
= 9/16
19. A tank is filled to 3/4 of its capacity. If 120 litres represent the filled portion, the total capacity is:
A. 140 L B. 150 L
C. 160 L D. 180 L
Correct Answer: C. 160 L
Explanation:
Let the total capacity of the tank = x L
3/4 of x = 1=120
3/4 × x = 120
x = 120 × 4/3
=160
20. Evaluate: 1/2 + 1/3 +1/4
A. 11/12 B. 13/12
C. 17/12 D. 19/12
Correct Answer: B. 13/12
Explanation:
LCM (2, 3, 4) = 12
1/2 + 1/3 +1/4 = 6/12 + 4/12 + 3/12
= 13/12
YOUTUBE
