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Home Aptitude HCF and LCM Comments

  • Question
  • A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?


  • Options
  • A. 183
  • B. 153
  • C. 63
  • D. 123

  • Correct Answer
  • 183 

    Explanation

    LCM of 9,10,12,15 is 180
    Smallest natural number to get remainder of 3 is (180 + 3) = 183


  • Search Results


    • 1. The LCM of 72 and 84 is:

    • Options
    • A. 12 × 6 × 7
    • B. 6 × 2 × 7
    • C. 12 × 7 × 3
    • D. 72 × 84
    • Discuss
    • 2. Find the HCF of 865 and 2595.

    • Options
    • A. 25
    • B. 2595
    • C. 865
    • D. 5
    • Discuss
    • 3. Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?

    • Options
    • A. 37 lit
    • B. 97 lit
    • C. 129 lit
    • D. 195 lit
    • Discuss
    • 4. In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

    • Options
    • A. 26
    • B. 24
    • C. 18
    • D. 12
    • Discuss
    • 5. Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

    • Options
    • A. 40
    • B. 60
    • C. 100
    • D. 120
    • Discuss
    • 6. The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;

    • Options
    • A. 102
    • B. 64
    • C. 204
    • D. 92
    • Discuss
    • 7. LCM of two co-prime numbers a and b is (a is greater than b):

    • Options
    • A. a
    • B. a+b
    • C. ab
    • D. b
    • Discuss
    • 8. The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are

    • Options
    • A. (12, 60)
    • B. (72, 30)
    • C. (36, 60)
    • D. (60, 72)
    • Discuss
    • 9. A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?

    • Options
    • A. 487
    • B. 585
    • C. 635
    • D. 705
    • Discuss
    • 10. Find the HCF of 3341 and 3328.

    • Options
    • A. 257
    • B. 337
    • C. 13
    • D. 31
    • Discuss


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