1. The HCF of 90, 150 and 210 is
- A6
- B10
- C15
- D30
Show 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.
Free tests
Video courses
Study notes
Account
Practise the NUST entry test (NET, Business and Social Sciences) (Business & Social Sciences) with 884 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.
· · Chapters and sample questions
Loading the test…
By Team Megalecture · Updated 13 Nov 2026
Practise the NUST entry test (NET, Business and Social Sciences) (Business & Social Sciences) with 884 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.
Every note on the site for a year: All-notes pass: unlimited downloads of every note for a year, PKR 999
884 questions · 11 chapters
The questions follow the syllabus chapter by chapter. You can test the whole subject or one chapter at a time.
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: A. To conceal is to hide; to reveal is to show or make known. 'Hide' is a synonym.
Answer: B. Only a belittling remark would undo confidence, and 'disparaging' means expressing a low opinion. Encouraging or flattering remarks would build confidence.
Answer: D. 'Hardly' is already negative in meaning, so adding 'not' (or 'nothing') makes a double negative. 'Could hardly hear' is correct.
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.
Yes. Every test, answer and explanation is free, and you do not need an account. Sign in only if you want your results kept across devices.
884 MCQs with answers, covering 11 chapters of the syllabus. Each test draws new questions, so you can practise many times.
NET Business and Social Sciences is weighted Quantitative Mathematics 50% and English 50%. Our NUST NET (Business & Social Sciences) test covers every unit of the syllabus.
No. The 884 MCQs are our own, written to the syllabus in the style of the exam.
Instantly. You see your score, the right answer and an explanation for every question, and the topics to work on next. Questions you got wrong are saved so you can retry them.
Yes. Pick a chapter, build your own test from chosen topics, or practise your weakest topics and your past mistakes.
Yes: 200 MCQs in the NUST Business split (Quantitative Mathematics 100, English 100), timed for 3 hours, plus a 100-question half mock.
Yes. It runs in the browser on any phone or computer, and you can add it to your home screen like an app.
NUST NET: all three partsNUST NET MathsNUST NET PhysicsNET Applied Sciences: all three partsNET BiologyNET ChemistryNET Quantitative MathsNUST NET English