Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 21

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IMPORTANT

Earn 100

The LCM of two prime numbers $x$ and $y (x > y)$ is $299$ . Then $2 y - x$ is divisible by:

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Important Questions on HCF and LCM

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CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 22

The HCF of

3240, 3600

and a third number is

36

and their LCM is

2^{4} \times 3^{5} \times 5^{2} \times 7^{2}

. What is the third number?

EASY

CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 23

Find the least

3

-digit number which when divided by

8

,

12

and

16

leaves

3

as remainder, but when divided by

7

leaves no remainder?

EASY

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 24

Some sweets are to be distributed among

16, 40

and

70

boys. Find the minimum number of sweets required to be distributed so that no sweet is left.

EASY

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 25

The LCM of two numbers is

12

times their HCF. The sum of the HCF and the LCM is

403

. If one of the numbers is

93

, then the other number is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 26

Three numbers are in the ratio

2 : 3 : 4

and their HCF is

12

. The LCM of the numbers is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 27

What is the least number, which when divided by the numbers

3, 5, 6, 8, 10

and

12

leaves in each case a remainder

2

, but when divided by

13

leaves no remainder?

EASY

CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 28

The least multiple of

13

, which on dividing by

4, 5, 6, 7

and

8

, leaves remainder

2

in each case is:

HARD

CAT

IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 3 - HCF and LCM>Practice Problems Level 2>Q 29

The sum of two numbers is

45

and their difference is

\frac{1}{9}

of their sum. Their LCM is