25
Q:

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

A) 63 and 49 B) 64 and 48
C) 62 and 46 D) 64 and 49

Answer:   A) 63 and 49



Explanation:

Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

Subject: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Find the Greatest Common Factor of 280 and 144.

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

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3 335
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Find the LCM of 34, 51 and 68.

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

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1 492
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

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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

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7 443
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

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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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4 761