ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 19

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The least number which should be added to $2497$ , so that the sum is exactly divisible by $5, 6, 4$ and $3$ , is ?

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Important Questions on HCF and LCM

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 20

The smallest fraction which is exactly divisible by each of

\frac{6}{7}, \frac{5}{14}, \frac{10}{21}

is ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 21

How many numbers are there between

4000

and

6000

which are exactly divisible by

32, 40, 48

and

60

?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 22

Four numbers are in the ratio of

10 : 12 : 15 : 18

. If their HCF is

3

, find their LCM ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 23

Five bells first begin to toll together and then at intervals of

3, 5, 7, 8

and

10 s

. Find after what interval they will again toll together. How many times do they toll together in one hour?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 24

Four bells ring at the interval of

6 s, 8 s, 12 s

and

18 s

. They start ringing together at

12

'o clock. After how many seconds will they ring together again?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 25

Six bells commence tolling together and toll at intervals of

2, 4, 6, 8, 10

and

12 s

respectively. In

30 \min

, how many times do they toll together?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 26

An electric wire is sold only in multiples of

1 m

and a person required several lengths of wire, each

85 c m

long. To avoid any wastage and to minimise labour, he should purchase minimum lengths of ?

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ESIC Upper Division Clerk (UDC) & Stenographer Phase-1>Chapter 27 - HCF and LCM>Practice Questions>Q 27

Find the greatest possible length of the planks, if three pieces of timber

42 m, 49 m

and

63 m

long have to be divided into planks of the same length ?