- 1. The sum of two numbers is 232 and their H.C.F is 29. How many pairs of such numbers are
A.1
B.2
C.0
D.None of these
Answer & Explanation
Answer: Option B 
HCF of two numbers = 29
Let the numbers = 29x, 29y
x and y are prime to each other
According to the question,
29x + 29y = 232, 29(x+y) = 232, x + y = 8,
Possible pairs of x and y = (1,7) and (3,5)
numbers are = (29, 203) and (87,145)
View Answer
- 2. Sum of two numbers is 63. Their difference is 1/8 of their sum. their L.C.M is
A.231
B.153
C.351
D.345
Answer & Explanation
Answer: Option C
Let the numbers be x and y
According to the problem
X + y = 63
x - y = 1/8 ( x+y)
x-y = 1/8 * 63, x-y = 9
2x = 72, x= 36 and y = 27
L.C.M of 36 and 27 is 351
View Answer
- 3. Find the L.C.M of the fractions 2/7 , 5/14, and 4/21
A.1 1/7
B.3 4/7
C.2 4/7
D.2 6/7
Answer & Explanation
Answer: Option D
L.C.M = L.C.M of numerator/ H.CF of denominator
L.C.M = L.C.M of 2,5,4 / H.C.F of 7, 14, 21,
L.C.M = 20/7,
L.C.M = 2 6/7
View Answer
- 4. Find the H.C.M of the fractions 1/3, 3/5 and 7/12
A.1/30
B.1/60
C.1/15
D.1/20
Answer & Explanation
Answer: Option B
H.CF = H.C.F of numarator/L.C.M of denominator
H.C.F = H.C.F of 1, 3, 7 / L.C.M of 3, 5, 12
H.C.F = 1/60
View Answer
- 5. The H.C.F of two numbers is 36 and their L.C.M is 1600. If one of the numbers is 160, find the other?
A.320
B.350
C.360
D.330
Answer & Explanation
Answer: Option C
The other number is = 36 * 1600/160 = 360
View Answer
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