Problems on LCM & HCF Mcqs


Q.  The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?

a. 1994
b. 1494
c. 1349
d. 1496


ANSWER: See Answer
 
LCM = 1400

1400 – 6 = 1394
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MCQs:  LCM of two numbers is 138. But their (Greatest common divisor) GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?
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MCQs:  Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
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MCQs:  The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?
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MCQs:  Which of the following has the most number of divisors?
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MCQs:  The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
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MCQs:  A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
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MCQs:  The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
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MCQs:  The least number of four digits which is divisible by 15, 25, 40 and 75 is_________?
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MCQs:  The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is_________?
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MCQs:  What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
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MCQs:  Which of the following fractions is the largest?
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MCQs:  The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
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MCQs:  Product of two co-prime numbers is 117. Their L.C.M should be__________?
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MCQs:  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 reciprocal of the numbers is equal to___________?
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MCQs:  The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is__________?
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MCQs:  The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?
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MCQs:  The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
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