Problems on LCM & HCF Mcqs

Q.  A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

a. 50
b. 36
c. 24
d. 12


ANSWER: See Answer
 
HCF of 408, 468, 516 = 12
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MCQs:  The least number which when divided by 8, 12 and 16, leave in each remainder 3, is_______?
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MCQs:  The least square number which divides 8, 12 and 18 is________?
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MCQs:  The product of two numbers is 2025 and their HCF is 15 their LCM is____________?
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MCQs:  LCM of 455, 117, 338 is________?
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MCQs:  LCM of 87 and 145 is_______?
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MCQs:  LCM of 18 and 27 is_________?
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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 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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