Q1. If 2x + 14 = 30, what is the value of x?
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Answer: D. 8
2x = 30 − 14 = 16, so x = 16/2 = 8.
Algebra Questions for SSC CGL (with Answers)
33 Algebra MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. If 5x + 7 = 17, what is the value of x?
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Answer: A. 2
5x = 17 − 7 = 10, so x = 10/5 = 2.
Q3. If 2x + 4 = 24, find x.
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Answer: D. 10
2x = 24 − 4 = 20, so x = 20/2 = 10.
Q4. If 6x + 18 = 78, find x.
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Answer: A. 10
6x = 78 − 18 = 60, so x = 60/6 = 10.
Q5. If 4x + 13 = 57, find x.
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Answer: A. 11
4x = 57 − 13 = 44, so x = 44/4 = 11.
Q6. If 5x + 3 = 73, find x.
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Answer: A. 14
5x = 73 − 3 = 70, so x = 70/5 = 14.
Q7. If 5x + 20 = 55, find x.
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Answer: A. 7
5x = 55 − 20 = 35, so x = 35/5 = 7.
Q8. If 6x + 18 = 36, find x.
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Answer: B. 3
6x = 36 − 18 = 18, so x = 18/6 = 3.
Q9. If 8x + 2 = 10, find x.
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Answer: C. 1
8x = 10 − 2 = 8, so x = 8/8 = 1.
Q10. If 5x + 1 = 46, find x.
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Answer: A. 9
5x = 46 − 1 = 45, so x = 45/5 = 9.
Q11. If x + 9 = 13, find x.
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Answer: D. 4
1x = 13 − 9 = 4, so x = 4/1 = 4.
Q12. If 2x + 2 = 28, find x.
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Answer: B. 13
2x = 28 − 2 = 26, so x = 26/2 = 13.
Q13. If 3x + 3 = 6, find x.
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Answer: D. 1
3x = 6 − 3 = 3, so x = 3/3 = 1.
Q14. If 5x + 9 = 54, find x.
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Answer: C. 9
5x = 54 − 9 = 45, so x = 45/5 = 9.
Q15. If 6x + 18 = 90, what is the value of x?
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Answer: C. 12
6x = 90 − 18 = 72, so x = 72/6 = 12.
Q16. If 3x + 19 = 31, what is the value of x?
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Answer: B. 4
3x = 31 − 19 = 12, so x = 12/3 = 4.
Q17. If a + b = 6 and ab = 7, find a² + b².
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Answer: B. 22
a² + b² = (a + b)² − 2ab = 36 − 14 = 22.
Q18. If a + b = 14 and ab = 19, find a² + b².
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Answer: C. 158
a² + b² = (a + b)² − 2ab = 196 − 38 = 158.
Q19. If a + b = 13 and ab = 25, find a² + b².
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Answer: A. 119
a² + b² = (a + b)² − 2ab = 169 − 50 = 119.
Q20. If a + b = 12 and ab = 10, find a² + b².
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Answer: C. 124
a² + b² = (a + b)² − 2ab = 144 − 20 = 124.
Q21. If a + b = 8 and ab = 16, find a² + b².
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Answer: C. 32
a² + b² = (a + b)² − 2ab = 64 − 32 = 32.
Q22. If a + b = 7 and ab = 24, find a² + b².
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Answer: A. 1
a² + b² = (a + b)² − 2ab = 49 − 48 = 1.
Q23. If a + b = 11 and ab = 5, find a² + b².
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Answer: A. 111
a² + b² = (a + b)² − 2ab = 121 − 10 = 111.
Q24. If a + b = 5 and ab = 10, find a² + b².
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Answer: D. 5
a² + b² = (a + b)² − 2ab = 25 − 20 = 5.
Q25. If a + b = 7 and ab = 15, find a² + b².
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Answer: C. 19
a² + b² = (a + b)² − 2ab = 49 − 30 = 19.
Q26. If 6x + 12 = 84, what is the value of x?
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Answer: A. 12
6x = 84 − 12 = 72, so x = 72/6 = 12.
Q27. If 6x + 16 = 100, what is the value of x?
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Answer: D. 14
6x = 100 − 16 = 84, so x = 84/6 = 14.
Q28. If x + 1/x = 5, find the value of x³ + 1/x³.
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Answer: B. 110
x³ + 1/x³ = 5³ − 3 × 5 = 125 − 15 = 110.
Q29. If x + 1/x = 7, find the value of x² + 1/x².
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Answer: B. 47
x² + 1/x² = 7² − 2 = 47.
Q30. If x + 1/x = 8, find the value of x³ + 1/x³.
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Answer: A. 488
x³ + 1/x³ = 8³ − 3 × 8 = 512 − 24 = 488.
Q31. If x + 1/x = 8, find the value of x² + 1/x².
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Answer: B. 62
x² + 1/x² = 8² − 2 = 62.
Q32. If x + 1/x = 9, find the value of x² + 1/x².
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Answer: A. 79
x² + 1/x² = 9² − 2 = 79.
Q33. If x + 1/x = 6, find the value of x² + 1/x².
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Answer: B. 34
x² + 1/x² = 6² − 2 = 34.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
- Average 56
- Profit and Loss 49
- Number System 47
- Mensuration 46
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Problems on Ages 38
- Compound Interest 36
- Simplification 32
- Geometry 29
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Trigonometry 10
- Statistics 9
- Pipes and Cisterns 7