MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 3

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10th CBSE

IMPORTANT

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If the HCF of $506$ and $1155$ can be expressed as a linear combination of them as $506 \times k - 1155 \times 7$ , then find the value of $k$ .

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Important Questions on Real Numbers

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 3

Find the HCF of the following pairs of integers and express it as a linear combination of them.

$1288$ and $575$

If the linear combination is $575 \times 9 - 1288 \times k$ , find the value of $k$ ?

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10th CBSE

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MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 4

Find the largest number which divides

615

and

963

leaving the remainder

6

in each case.

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10th CBSE

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MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 5

If the

HCF

of

408

and

1032

is expressible in the form

1032 m - 408 \times 5

, find

m

.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 6

If the HCF of

657

and

963

is expressible in the form

657 x + 963 \times (- 15)

, find

x

.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 7

An army contingent of

616

members is to march behind an army band of

32

members in a parade. The two groups are to march in the same number. What is the maximum number of columns in which they can march?

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 8

A merchant has

120

litres of oil of one kind,

180

litres of another kind and

240

litres of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin in litres.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 9

During a sale, colour pencils were being sold in packs of $24$ each and crayons in packs of $32$ each. If you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy?

Find the total number of packets (including pen and pencil packs).

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.2>Q 10

144

cartons of Coke Cans and

90

cartons of Pepsi Cans are to be stacked in a Canteen. If each stack is of the same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?