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.
By Team Megalecture · Updated 13 Nov 2026
60 exam-style questions on Quantitative · Numbers and arithmetic, 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.
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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.
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. Add powers when multiplying and subtract when dividing: 5 + 3 − 4 = 4, so the answer is 24 = 16. Adding all three powers gives 212.
Answer: B. Let x = 0.2777…; then 100x − 10x = 27.777… − 2.777… = 25, so x = 25/90 = 5/18. 27/99 is 0.2727… and 27/100 is 0.27 exactly.
Answer: B. −32 = −9, (−2)3 × 2 = −16 and 4 ÷ (−2) = −2, so −9 − 16 − (−2) = −23. Reading −32 as +9 gives −5.
Answer: B. 30,000 + 5,000 = 35,000 = 3.5 × 104. Adding the front numbers (8) only works when the powers of 10 are the same.
Answer: D. The integers are −5, −4, −3, −2, −1, 0, 1, 2, 3: nine of them. −5 is included (≤) but 4 is not (<). Forgetting to count 0 gives 8.
Answer: A. A number is divisible by 9 when its digit sum is: 3 + 5 + 4 + 6 = 18. The digit sum of 6,231 is 12, so it is divisible by 3 but not by 9.
Answer: D. 16 = 24, 24 = 23 × 3, 40 = 23 × 5. Highest powers: 24 × 3 × 5 = 240. 48, 80 and 120 are the LCMs of only two of the numbers (120 is not a multiple of 16).
Answer: C. 0.0625 = 625/10000 = 1/16 (divide by 625). 5/8 is 0.625, one decimal place out.
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60, each with the answer and a short explanation, across 3 topics: Number properties, Fractions, decimals and order of operations, Exponents, roots and standard form. Every chapter test draws ten of them, so you can take it many times.
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