SSC CGL Linear Equations MCQs with 20 exam– oriented questions, answers, detailed explanations, shortcut tricks, and Tier– I & Tier– II practice for competitive exams.
SSC CGL Linear Equations MCQs
1. If 3x + 7 = 25, then the value of x is:
A) 5 B) 6
C) 7 D) 8
Correct Answer: B) 6
Explanation:
3x + 7=25
3x = 25 – 7=18
x=6
2. If 5x – 3 = 2x + 12, then value of x is:
A) 4 B) 5
C) 6 D) 7
Correct Answer: B) 5
Explanation:
5x– 3=2x+12
5x– 2x=12+3
3x=15
x=5
3. The value of x satisfying x/3 + 5 = 11 is:
A) 12 B) 15
C) 18 D) 21
Correct Answer: C) 18
Explanation:
x/3 + 5 = 11
x/3 = 11– 5
= 6
x = 18
4. If 2(x + 5) = 3(x – 2)), then value of x is:
A) 14 B) 16
C) 18 D) 20
Correct Answer: C) 16
Explanation:
2x + 10 = 3x – 6
10 + 6 = 3x – 2x
x=16
5. If 0.4x+2.8=6.8, then x is:
A) 8 B) 9
C) 10 D) 12
Correct Answer: C) 10
Explanation:
0.4x = 6.8 – 2.8 = 4
x= 4/ 0.4 =10
6. If (2x – 3)/ 5 =7, find (x)
A) 16 B) 17
C) 18 D) 19
Correct Answer: B) 19
Explanation:
(2x – 3)/ 5 =7
2x – 3=35
2x = 38
x = 19
7. The sum of a number and itsone–third is 40. The number is:
A) 24 B) 27
C) 30 D) 32
Correct Answer: C) 30
Explanation:
Let the number be (x)
x + x /3 = 40
4x / 3 = 40
x = 30
SSC CGL Linear Equations MCQs
8. Three times a number exceeds the number by 48. Find the number.
A) 20 B) 22
C) 24 D) 26
Correct Answer: C) 24
Explanation:
3x – x = 48
2x = 48
x = 24
9. The sum of two consecutive integers is 57. The larger integer is:
A) 27 B) 28
C) 29 D) 30
Correct Answer: C) 29
Explanation:
Let the integers be x and x+1
x + x + 1=57
2x = 56
x = 28
Larger integer = 28 + 1 =29
10. The sum of three consecutive integers is 96. The middle integer is:
A) 30 B) 31
C) 32 D) 33
Correct Answer: C) 32
Explanation:
For three consecutive integers, the middle number equals their average.
96/ 3 =32
∴ The middle integer is 32
11. A number is increased by 20% and becomes 72. The original number is
A) 50 B) 55
C) 60 D) 65
Correct Answer: C) 60
Explanation:
After 20% increase
120% of original =72
120x/100 =72
x=60
SSC CGL Linear Equations MCQs
12. A number decreased by 25% becomes 90. Find the original number
A) 110 B) 115
C) 120 D) 125
Correct Answer: C) 120
Explanation:
After 25% decrease, 75% remains
75% of x=90
x= (90 ×100)/ 75 =120
13. If [(x– 2)/ 3] + [(x+1)/ 2] = 9, then x is:
A) 10 B) 12
C) 11 D) 13
Correct Answer: C) 11
Explanation:
[(x– 2)/ 3] + [(x+1)/ 2] = 9
LCM of 3 and 2 = 6
[2(x– 2)+3(x+1)]/6=9
2x – 4 + 3x + 3 =54
5x– 1=54
5x=55
x=11
14. A father is 3 times as old as his son. Their total age is 64 years. The son’s age is
A) 14 B) 16
C) 18 D) 20
Correct Answer: B) 16
Explanation:
Let son’s age = (x)
Father’s age = (3x)
x + 3x=64
4x=64
x=16
15. The present age of A is twice that of B. After 5 years, their total age will be 70 years. B’s present age is
A) 18 B) 20
C) 22 D) 25
Correct Answer: B) 20
Explanation:
Let B’s age = (x)
A’s age = (2x)
After 5 years
(x + 5)+(2x + 5)=70
3x+10=70
3x=60
x=20
SSC CGL Linear Equations MCQs
16. The perimeter of a rectangle is 84 cm. If its length is 4 cm more than its breadth, the breadth is
A) 17 cm B) 18 cm
C) 19 cm D) 20 cm
Correct Answer: B) 19 cm
Explanation:
Let breadth = (x)
Length = (x + 4)
2(l + b) = 84
l + b=42
x + 4 + x=42
2x=38
x=19
SSC CGL Linear Equations MCQs
17. A number, when multiplied by 7 and decreased by 9, gives 40. The number is
A) 5 B) 6
C) 7 D) 8
Correct Answer: B) 7
Explanation:
7x– 9=40
7x=49
x=7
18. If 4x+5=2x+17, then the value of (3x– 4) is
A) 12 B) 14
C) 16 D) 18
Correct Answer: C) 14
Explanation:
4x+5=2x+17
2x=12
x=6
∴ 3x– 4=18– 4=14
19. A number is such that one – fourth of it exceeds one – sixth of it by 10. The number is
A) 100 B) 110
C) 120 D) 140
Correct Answer: C) 120
Explanation:
x/4 – x/ 6 =10
LCM = 12
(3x– 2x)/12 =10
x=120
SSC CGL Linear Equations MCQs
20. A shopkeeper gives a discount of ₹120 on an article and sells it for ₹480. If the marked price is (x), which equation represents the situation?
A) x+120=480 B) x– 120=480
C) 120x=480 D) x/120=480
Correct Answer: B) x– 120=480
Explanation:
Selling Price = Marked Price − Discount
∴ x– 120=480
21. The average of five consecutive integers is 42. The largest integer is
A) 43 B) 44
C) 45 D) 46
Correct Answer: B) 44
Explanation:
For an odd number of consecutive integers, the average is the middle number
So the five numbers are: 40,41,42,43,44
Largest = 44
22. A two-digit number has its tens digit 3 more than its units digit. The sum of its digits is 11. The number is
A) 47 B) 56
C) 65 D) 74
Correct Answer: D) 74
Explanation:
Let the units digit = x
Tens digit = x+3
Given x+(x+3)=11
2x=8
x=4
∴ tens digit = 7
Number = 74
SSC CGL Linear Equations MCQs
SSC CGL Quantitative Aptitude Topics
- Number System
- Decimals
- Fractions
- Percentages
- Ratio & proportion
- Square roots
- Averages
- Interest (simple & compound)
- Profit & loss
- Discount
- Partnerships
- Mixture & Alligation
- Time & speed & distance
- Time & work.
- Advanced math includes basic algebraic identities
- Elementary surds
- Graphs of linear equations
- Triangles
- Circles
- Regular polygons, right prisms, cones, cylinders, spheres
- Trigonometry.
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