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- 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

Explanation:**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)

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)

- 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

Explanation:**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

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

- 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

Explanation:**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

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

- 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

Explanation:**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

H.C.F = H.C.F of 1, 3, 7 / L.C.M of 3, 5, 12

H.C.F = 1/60

- 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

Explanation:**The other number is = 36 * 1600/160 = 360**

**To whom this HCF & LCM Questions and Answers section is beneficial?**

Students can learn and improve on their skillset for using Verbal Ability effectively and can also prepare for competitive examinations like...

- All I.B.P.S and Public Sector Bank Competitive Exam
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