1. One root of x2 − kx + 18 = 0 is 3. The value of k is
- A6
- B9
- C15
- D27
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Answer: B. The roots multiply to 18, so the other root is 6, and k = sum of roots = 3 + 6 = 9. 6 is the other root, not k.
NUST NET Quantitative Maths chapter 3: Quantitative · Algebra MCQs with answers
By Team Megalecture · Updated 13 Nov 2026
100 exam-style questions on Quantitative · Algebra, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.
100 questions · 5 topics · 10 per test
Test this chapter freeAll NUST NET Quantitative Maths chapters
What chapter 3 covers
- Algebraic expressions and identities 20 questions
- Linear and simultaneous equations 22 questions
- Quadratic equations 20 questions
- Inequalities and absolute value 18 questions
- Functions and graphs 20 questions
Ten Quantitative · Algebra questions with answers
Try each one, then open the answer. These ten stay the same; the test draws new ones every time.
2. If f(x) = 5x − 7, what is the value of f−1(8)?
- A0.2
- B1.6
- C3
- D33
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Answer: C. f−1(8) is the x with 5x − 7 = 8, so 5x = 15 and x = 3. The value 33 is f(8), not the inverse.
3. Which quadratic equation has roots 3 and −5?
- Ax2 − 2x − 15 = 0
- Bx2 + 2x − 15 = 0
- Cx2 + 2x + 15 = 0
- Dx2 − 8x − 15 = 0
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Answer: B. x2 − (sum)x + (product) = 0 with sum −2 and product −15 gives x2 + 2x − 15 = 0. Forgetting the minus in front of the sum gives x2 − 2x − 15.
4. Factorise x2 − 49y2.
- A(x − 7y)2
- B(x + 7y)2
- C(x − 49y)(x + y)
- D(x − 7y)(x + 7y)
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Answer: D. Difference of two squares: x2 − (7y)2 = (x − 7y)(x + 7y). (x − 7y)2 would give a middle term −14xy.
5. The equation 2x2 − 3x + 5 = 0 has
- Atwo distinct real roots
- Btwo equal real roots
- Cone positive and one negative root
- Dno real roots
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Answer: D. Discriminant = (−3)2 − 4 × 2 × 5 = 9 − 40 = −31 < 0, so there are no real roots.
6. A ball is thrown upwards and its height after t seconds is h = 20t − 5t2 metres. After how many seconds does it land back on the ground?
- A2
- B4
- C5
- D20
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Answer: B. h = 0 gives 5t(4 − t) = 0, so t = 0 (the throw) or t = 4 s. 2 s is when it reaches its highest point.
7. A mobile package charges a fixed Rs 250 a month plus Rs 4 per minute of calls. A month's bill is Rs 1,090. How many minutes were used?
- A210
- B250
- C335
- D840
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Answer: A. 4m + 250 = 1,090, so 4m = 840 and m = 210. 840 forgets to divide by 4; 335 adds the 250 instead of subtracting it.
8. Factorise 2x2 + 7x + 3.
- A(2x + 1)(x + 3)
- B(2x + 3)(x + 1)
- C(2x − 1)(x + 3)
- D(2x + 1)(x − 3)
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Answer: A. (2x + 1)(x + 3) = 2x2 + 6x + x + 3 = 2x2 + 7x + 3. (2x + 3)(x + 1) gives a middle term of only 5x.
9. If 4x − 3y = 1 and 2x + y = 13, then y equals
- A3
- B4
- C5
- D7
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Answer: C. y = 13 − 2x, so 4x − 39 + 6x = 1, 10x = 40, x = 4 and y = 13 − 8 = 5.
10. A shop's daily profit in rupees is P = 120n − 800, where n is the number of items sold. What is the profit on a day when 15 items are sold?
- ARs 400
- BRs 1,000
- CRs 1,800
- DRs 2,600
Show answer
Answer: B. P = 120 × 15 − 800 = 1,800 − 800 = Rs 1,000. Rs 1,800 forgets to subtract the fixed 800.
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Ways to practise this chapter
- Chapter test. Ten questions from Quantitative · Algebra, drawn fresh each time, about ten minutes.
- Practice mode. The right answer and the explanation after every question, with no clock. Exam mode keeps the marks until the end and runs a timer.
- Hints. One tap for a nudge, a second to remove two wrong options.
- My mistakes. Every question you get wrong is kept, and leaves the list once you get it right.
Quantitative · Algebra: questions students ask
How many Quantitative · Algebra MCQs are there?
100, each with the answer and a short explanation, across 5 topics: Algebraic expressions and identities, Linear and simultaneous equations, Quadratic equations, Inequalities and absolute value, Functions and graphs. Every chapter test draws ten of them, so you can take it many times.
Is the NUST NET Quantitative Maths chapter 3 test free?
Yes. The test, the answers and the explanations are free and need no sign-up. Sign in only if you want your scores kept across devices.
How is the chapter test marked?
The moment you press Finish: your score, the right answer and an explanation for every question, and the ones you got wrong saved in My mistakes to retry.
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