alleryCards show 21, 29, 39 and 49. Which has exactly two positive divisors?
- 21
- 29
- 39
- 49
Show answer and solution
Correct answer: B. 29
Only 29 has exactly two positive divisors, 1 and 29, while 21, 39 and 49 are composite.
RPF Constable Whole Numbers, Factors and Multiples — practice questions
Explore 15 free Whole Numbers, Factors and Multiples questions in RPF Constable Arithmetic. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–15 of 15.
Cards show 21, 29, 39 and 49. Which has exactly two positive divisors?Read the answer and worked solution →Biscuits come in packs of 7. Which total uses only full packs?Read the answer and worked solution →Ropes of 32 m and 48 m are cut without waste. Longest equal piece length?Read the answer and worked solution →Pens come in packs of 8, pencils in packs of 12. Least equal total of each?Read the answer and worked solution →A lock code is the largest prime factor of 84. What is the code?Read the answer and worked solution →To reduce 45/75 in one step, what is the greatest divisor to cancel?Read the answer and worked solution →Which pair has no common positive factor other than 1?Read the answer and worked solution →Two positive integers have HCF 6, LCM 180 and sum 66. The smaller is?Read the answer and worked solution →Least stock above 1000 leaving 5 items after packing in 12s, 18s or 28s?Read the answer and worked solution →What least positive integer n makes 180 × n divisible by both 168 and 225?Read the answer and worked solution →Match the arithmetic resultRead the answer and worked solution →A divisor leaves 5 from 317 and 7 from 559. What is its greatest possible value?Read the answer and worked solution →Among four-digit multiples of both 18 and 24, choose the smallest.Read the answer and worked solution →Two positive integers are in the ratio 5:7 and their LCM is 420. Find their HCF.Read the answer and worked solution →Factors: solve and sortRead the answer and worked solution →
Worked practice questions
Biscuits come in packs of 7. Which total uses only full packs?
- 24
- 30
- 35
- 40
Show answer and solution
Correct answer: C. 35
35 biscuits use exactly 5 packs because 7 × 5 = 35.
Ropes of 32 m and 48 m are cut without waste. Longest equal piece length?
- 16 m
- 8 m
- 24 m
- 32 m
Show answer and solution
Correct answer: A. 16 m
The longest equal pieces measure 16 m because the HCF of 32 and 48 is 16.
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