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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 : B
Explanation
L.C.M = 2 x 2 x 2 x 3 x 3 x 5 = 360
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 least number which when divided by 5, 6, 7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is?
Answer : C
Explanation
L.C.M of 5,6,7,8 = 840 Therefore Required number is of the form (840k + 3) Least value of k which (840k + 3) is divisible by 9 is k = 2. Therefore Required number = (840 x 2 + 3) = 1683
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 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 number is?
Answer : C
Explanation
clearly the numbers are (23 x 13) and (23 x 14) Larger number = (23 x 14) = 322.
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 - Which greatest possible length can be used to measure exactly 165 cm, 330 cm and 440 cm.
Answer : D
Explanation
HCF of 165 cm, 330 cm and 440 cm is 55 cm.
Q 8 - If two numbers are greater than 13 and the H.C.F of two numbers be 13, L.C.M 273, then the sum of the numbers is:
Answer : B
Explanation
Let the number be 13 a and 13 b, where a and b are co-primes. Then, 13a * 13b= (13* 273) ⇒ab= 21 Two co-primes with product 21are 3 and 7. ∴ numbers are (13*3, 13*7) i.e , 39 and 91. Their sum = (39+91) = 130
Q 9 - H.C.F and L.C.F of two numbers x and y are 3 and 105 respectively. If x+y=36 then figure out 1/x + 1/y.
Answer : D
Explanation
We have X *y =3 *105 ⇒ xy = 315 ∴ x+y/xy =36/315 = 4/35 ⇒ 1/y+1/x = 4/35 ⇒ 1/x+1/y = 4/35.
Q 10 - What is the greatest length possible of a scale that can be used to measure exactly 7 m, 3 m 85 cm, 12 m 95 cm, is:
Answer : C
Explanation
Required length = H.C.F of 700 cm, 385 cm and 1295 cm= 35 cm