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H.C.F & L.C.M. - Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to H.C.F & L.C.M.. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - Find L.C.M and H.C.F of 0.63, 1.05 and 2.1.
Answer : D
Explanation
Making the same number of decimal places, the given numbers are 0.63, 1.05 and 2.10. without decimal places, these numbers are 63, 105, and 210 Now, H.C.F of 63, 105 and 210 is 21 so H.C.F of 0.63, 1.05 and 2.1 is 0.21 L.C.M of 63, 105 and 210 is 630 so L.C.M of 0.63, 1.05 and 2.1 is 6.30
Answer : B
Explanation
Given numbers are 1.08, 0.36 and 0.9. H.C.F of 108, 36 and 90 is 18. H.C.F of given numbers is 0.18.
Q 3 - The smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is?
Answer : A
Explanation
Required number = (L.C.M of 12, 16, 18, 21, 28) + 7 = 1008 + 7 = 1015.
Q 4 - The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is?
Answer : B
Explanation
Let the numbers be 37a and 37b. then 37a x 37b = 4107 a x b = 3. Now, co-primes with product 3 are (1,3) So, the required numbers are (37 x 1, 37 x 3) i.e. (1, 111) Therefore greater number = 111.
Q 5 - The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and pencils?
Answer : B
Explanation
Required number of students = H.C.F of 1001 and 910 = 91.
Q 6 - Three piece of timber 35m, 42m, 70m long have to be divided into planks of the same length. What is the greatest possible length of each cloth?
Answer : D
Explanation
The maximum possible length = (G.C.D. of 35, 42, 70) =7
Q 7 - If the sum of two numbers is 175 and the H.C.F. and L.C.M. of these numbers are 35 and 140 respectively, then the sum of the reciprocals of the numbers is equal to:
Answer : A
Explanation
Let the numbers be X and Y. Then, X+Y = 175 and XY = 35x140 = 4900. The required sum = 1/X+1/Y=(X+Y)/XY=175/4900 = 1/28
Q 8 - The ratio of two numbers is 2:3. Having their L.C.M as 150, numbers are :
Answer : C
Explanation
Let the numbers be 2x and 3x . Then, their L.C.M is 6x. 6x = 150 ⇒ x= 25 So, the numbers are 50 and 75.
Q 9 - Having two numbers in the ratio 5:7 and their L.C.M as 315, then their product is:
Answer : A
Explanation
Let the two numbers be 5x and 7x . Then, their L.C.M is 35 x. 35x = 315 ⇒ x= 9 ∴ The numbers are 45 and 63 and their product is 2835.
Q 10 - If the capacity of two pots is 120 liters and 56 liters. Find the container capacity which can exactly measure the contents of the two pots, is :
Answer : C
Explanation
Required capacity = H.C.F of 120 L and 56 L.= 8 L = 8000cc