1. The HCF of 90, 150 and 210 is
- A6
- B10
- C15
- D30
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Answer: D. 90 = 2 × 32 × 5, 150 = 2 × 3 × 52, 210 = 2 × 3 × 5 × 7. All three primes 2, 3 and 5 are common, so the HCF is 2 × 3 × 5 = 30. 6, 10 and 15 each leave out one common prime.
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Practise NUST NET Quantitative Maths (Business & Social Sciences) with 484 exam-style MCQs by chapter, each with the answer and a short explanation. Every test is marked the moment you finish and shows your score chapter by chapter, so you know what to revise next. It is free and needs no sign-up.
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By Team Megalecture · Updated 13 Nov 2026
Practise NUST NET Quantitative Maths (Business & Social Sciences) with 484 exam-style MCQs by chapter, each with the answer and a short explanation. Every test is marked the moment you finish and shows your score chapter by chapter, so you know what to revise next. It is free and needs no sign-up.
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484 questions · 7 chapters
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12 questions from the test, one or two from each chapter. Try each one, then open the answer.
Answer: D. 90 = 2 × 32 × 5, 150 = 2 × 3 × 52, 210 = 2 × 3 × 5 × 7. All three primes 2, 3 and 5 are common, so the HCF is 2 × 3 × 5 = 30. 6, 10 and 15 each leave out one common prime.
Answer: B. The extra Rs 300 moves the result from −8% to +4%, i.e. 12% of cost. So cost = 300 ÷ 0.12 = Rs 2,500. Rs 3,750 uses only 8%.
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.
Answer: B. Total distance = 100 + 210 = 310 km in 5 h, so the average is 310 ÷ 5 = 62 km/h. Averaging the two speeds gives 60.
Answer: D. 3² + (k − 3)² = 25 gives (k − 3)² = 16, so k − 3 = ±4. With k > 3, k = 7 (the other value, −1, is ruled out).
Answer: D. New total = 9 × 32,000 = Rs 288,000 and the old total = 8 × 30,000 = Rs 240,000, so the manager earns Rs 48,000.
Answer: D. Estimated probability = 120/500 = 0.24, so expected card payments = 0.24 × 800 = 192.
Answer: D. The number is 36k + 3, since LCM(4, 6, 9) = 36. Trying k = 1, 2, 3, 4 gives 39, 75, 111, 147, and 147 = 7 × 21 is the first multiple of 7.
Answer: A. Take each jug as 1 unit: milk = 3/4 + 1/2 = 5/4 and water = 1/4 + 1/2 = 3/4, so the ratio is 5 : 3. 2 : 1 comes from adding the ratio terms (4 : 2), which is wrong because the jugs have different numbers of parts.
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.
Answer: A. 4d + 10 = 2.5(d + 10) gives 1.5d = 15, so d = 10 (mother 40; in 10 years 50 and 20, ratio 2.5). 40 is the mother's age.
Answer: A. C = 2πr = 2 × 22/7 × 7 = 44 cm. Using the diameter in 2πr gives 88 cm, and 154 is the area in cm².
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484 MCQs with answers, covering 7 chapters of the syllabus. Each test draws new questions, so you can practise many times.
Quantitative Mathematics is 50% of NET Business and Social Sciences, at SSC to HSSC level. Our NUST NET Quantitative Maths test covers every unit of the syllabus.
No. The 484 MCQs are our own, written to the syllabus in the style of the exam.
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