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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.
Answer : A
Explanation
Q 2 - The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is?
Answer : B
Explanation
Required number = H.C.F of (1657 - 6) = (2037 - 5) = H.C.F of 1651 and 2032 = 127.
Q 3 - The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is?
Answer : B
Explanation
L.C.M of 5,6,4 and 3 = 60 On dividing 2497 by 60, remainder is 37. Therefore Number to be added = (60 - 37) = 23.
Q 4 - The H.C.F and L.C.M of the two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger number of the twi is?
Answer : A
Explanation
Let the number be z and 4z. Then z x 4z = 84 x 21 = z2 = 84 x 21⁄4 = z = 21 Hence larger number is 4z = 4 x 21 = 84
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 - The least square number which is divisible by 12, 14 and 18 is:
Answer : A
Explanation
The least number divisible by12, 14 and 18 is their L.C.M. which is 252. Now 252=2*2*3*3*7 To make it a perfect square, it must be multiplied by 7 2*2*3*3*7*7=1764
Q 7 - Find the greatest possible rate at which a man should walk to cover a distance of 35 km and 140 km in exact number of days
Answer : D
Explanation
GCD of two 35 and 140=35
Q 8 - The L.C.M and H.C.M of two numbers is 2310 and 30. If one of these numbers is 210, what is the second number?
Answer : A
Explanation
Let the second number be x. Then, 2310 * 30 = 210 *x ⇒x = (2310 *30)/210 = 330 ∴ the second number is 330.
Q 9 - If ratio of two numbers is 2:3 and the product of their H.C.F and L.C.M is 33750, find the sum of the numbers:
Answer : C
Explanation
Let the numbers be 2x and 3x. Then, H.C.F = x and L.C.M = 6x ∴ 6x*x = 33750 ⇒ x2 = 5625 ⇒ &sqrt;5625= 75 So, the numbers are 150 and 225 . Their sum is 375.
Answer : C
Explanation
210 = 2*3*5*7, 315 =3*5*3*7 , 147 = 7*7*3 , 168 = 2*2*2*3*7 Required number = H.C.F of given numbers= (3*7) =21