Aptitude - H.C.F and L.C.M
1.
Find the highest common factor of 36 and 84.
Answer
36 = 22 x 32
84 = 22 x 3 x 7
∴ H.C.F. = 22 x 3 = 12.
Answer :
Option CExplanation :
36 = 22 x 32
84 = 22 x 3 x 7
∴ H.C.F. = 22 x 3 = 12.
2.
Find the lowest common multiple of 24, 36 and 40.
Answer
2 | 24 - 36 - 40
2 | 12 - 18 - 20
2 | 6 - 9 - 10
3 | 3 - 9 - 5
| 1 - 3 - 5
L.C.M = 2 x 2 x 2 x 3 x 3 x 5 = 360.
Answer :
Option CExplanation :
2 | 24 - 36 - 40
2 | 12 - 18 - 20
2 | 6 - 9 - 10
3 | 3 - 9 - 5
| 1 - 3 - 5
L.C.M = 2 x 2 x 2 x 3 x 3 x 5 = 360.
3.
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Answer
Let the numbers be 3x and 4x . Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 48.
Answer :
Option DExplanation :
Let the numbers be 3x and 4x . Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 48.
4.
10951168 in simplest form is :
Answer
HCF of 1095 and 1168 is 73.
10951168 = 1095 ÷ 731168 ÷ 73 = 1516
Answer :
Option AExplanation :
HCF of 1095 and 1168 is 73.
10951168 = 1095 ÷ 731168 ÷ 73 = 1516
5.
The G.C.D. of 1.08, 0.36 and 0.9 is :
Answer
Given numbers are 1.08, 0.36 and 0.90.
H.C.F. of 108, 36 and 90 is 18,
H.C.F. of given numbers = 0.18.
Answer :
Option BExplanation :
Given numbers are 1.08, 0.36 and 0.90.
H.C.F. of 108, 36 and 90 is 18,
H.C.F. of given numbers = 0.18.
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