# Aptitude  HCF and LCM  Practice Q&A

1. 504 can be expressed as a product of primes as

 2 × 2 × 3 × 3 × 7 × 7 2 × 3 × 3 × 3 × 7 × 7 2 × 3 × 3 × 3 × 3 × 7 2 × 2 × 2 × 3 × 3 × 7

2. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

 4 5 6 8

3. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

 28 32 40 64

4. What is the HCF of 1/3,2/3, and 1/4 ?

 2/3 1/3 1/4 1/12

5. The H.C.F of two 9/10,12/25,18/35 and 21/40 is:

 $\dfrac{3}{5}$ $\dfrac{252}{5}$ $\dfrac{3}{1400}$ $\dfrac{63}{700}$

6. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

 $\dfrac{55}{601}$ $\dfrac{601}{55}$ $\dfrac{11}{120}$ $\dfrac{120}{11}$

7. Which of the following has the most number of divisors?

 99 101 176 182

8. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

 1677 1683 2523 3363

9. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

 3 13 23 33

10. What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?

 125 117 132 112

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