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Home Aptitude Problems on H.C.F and L.C.M See What Others Are Saying!
  • Question
  • The HCF and LCM of two number are 21 and 4641, respectively. If one of the numbers lies between 200 and 300, then find the two numbers.


  • Options
  • A. 273, 363
  • B. 273, 359
  • C. 273, 361
  • D. 273, 357

  • Correct Answer
  • 273, 357 

    Explanation

    Let the numbers be 21a and 21b, where a and b are co-primes.
    Then, 21a x 21b = (21 x 4641)
    ? ab = 221
    Two co-primes with product 221 are 13 and 17.
    ? Required number = (21 x 13, 21 x 17)
    = (273, 357)


  • More questions

    • 1. 
      56.001 x? - 1000.999 = 231

    • Options
    • A. 22
    • B. 45
    • C. 37
    • D. 16
    • Discuss
    • 2. 
      1205 ÷ 2.5 =?

    • Options
    • A. 3000
    • B. 4800
    • C. 300
    • D. 480
    • Discuss
    • 3. 
      4182.395 ÷ 20.886 =?

    • Options
    • A. 300
    • B. 200
    • C. 150
    • D. 250
    • Discuss
    • 4. 
      98743 ÷ 198 = 800 -?

    • Options
    • A. 200
    • B. 250
    • C. 300
    • D. 350
    • Discuss
    • 5. 
      425 ÷ 16.95 x? = 225

    • Options
    • A. 11
    • B. 0.8
    • C. 9
    • D. 19
    • Discuss
    • 6. 
      137% of 12345 =?

    • Options
    • A. 17000
    • B. 15000
    • C. 1500
    • D. 14300
    • Discuss
    • 7. 
      [137 ÷ 17 x 3.99]/[4.02 x 3.98] =?

    • Options
    • A. 3.2
    • B. 3.5
    • C. 2.5
    • D. 2
    • Discuss
    • 8. 
      5454 ÷ 54 ÷ 5 =?

    • Options
    • A. 15
    • B. 25
    • C. 30
    • D. 20
    • Discuss
    • 9. 
      161% 3578 + 139.85 + 5/8 of 161. 56 =?

    • Options
    • A. 6000
    • B. 6500
    • C. 6700
    • D. 5500
    • Discuss
    • 10. 
      ? 625.04 x 16.96 + 136.001 ÷ 17 =?

    • Options
    • A. 4.18
    • B. 4.41
    • C. 425
    • D. 433
    • Discuss


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