223
Q:

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

A) 1 B) 2
C) 3 D) 4

Answer:   B) 2



Explanation:

Let the numbers 13a and 13b.

Then, 13a x 13b = 2028

=>ab = 12.

Now, the co-primes with product 12 are (1, 12) and (3, 4).

[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]

So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).

Clearly, there are 2 such pairs.

Subject: HCF and LCM
Q:

Find the Greatest Common Factor of 280 and 144.

A) 2 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: B) 8

Explanation:
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3 335
Q:

Find the LCM of 34, 51 and 68.

A) 238 B) 102
C) 136 D) 204
 
Answer & Explanation Answer: D) 204

Explanation:
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1 494
Q:

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is

A) 60 B) 36
C) 72 D) 48
 
Answer & Explanation Answer: B) 36

Explanation:
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1 391
Q:

Find the LCM of 12, 16, 20 and 24.

A) 180 B) 220
C) 240 D) 260
 
Answer & Explanation Answer: C) 240

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3 408
Q:

The HCF of 24, 60 and 90 is:

A) 3 B) 6
C) 12 D) 4
 
Answer & Explanation Answer: B) 6

Explanation:
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7 446
Q:

Find the HCF & LCM of 16, 24.

A) 8, 48 B) 4, 12
C) 2, 24 D) 4, 48
 
Answer & Explanation Answer: A) 8, 48

Explanation:
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4 432
Q:

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

A) 60 B) 55
C) 50 D) 65
 
Answer & Explanation Answer: B) 55

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4 630
Q:

Find the largest number of three digits exactly divisible by 15, 18, 27 and 30.

A) 870 B) 900
C) 810 D) 780
 
Answer & Explanation Answer: C) 810

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