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Chapter 3

Playing With Numbers

Mathematics•Class 6•CBSE

30 Questions Available

Showing 20 questions on this page

1

111 cows, 185 sheep and 296 goats are to be taken across a river. There is only one boat and the boatsman says; he will take the same number and same kind of animals in each trip. Find the largest number of animals in each trip and the number of trips he will have to make.

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2

In a seminar, the number of participants in Mathematics, Physics and Chemistry are 60, 96 and 144 respectively. Find the number of rooms required if in each room, the same number of ‘ participants are to be seated and all of them are to be in the same subject.

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3

Ill cows, 185 sheep and 296 goats are to be taken across a river. There is only one boat and the boatsman says; he will take the same number and same kind of animals in each trip. Find the largest number of animals in each trip and the number of trips he will have to make.

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4

In a seminar, the number of participants in Mathematics, Physics and Chemistry are 60, 96 and 144 respectively. Find the number of rooms required if in each room, the same number of ‘participants are to be seated and all of them are to be in the same subject.

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5

The sum of two numbers is 25 and their product is 144. Find the numbers.

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6

Find the greatest number which divides 82 and 132 leaving 1 and 6, respectively as remainders.

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7

Find the greatest number that will divide 455, 582 and 710 leaving remainders 14, 15 and 17 respectively.

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8

Find the H.C.F of the following numbers. 70, 105, 175

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9

Find the smallest 4-digit number which is divisible by 18, 24 and 32.

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10

Three sets of English, Hindi, and Urdu books are to be stacked in such a way that the books are stored subject wise and the height of each stack is the same. The numbers of English, Hindi and Urdu books are 336, 192 and 144 respectively. Assuring that the books have that same thickness, determine the number of stacks of English, Hindi and Urdu books.

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11

Simplify: 32 + 96 ÷ (7 + 9)

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12

Is 80136 divisible by 11?

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13

The HCF and LCM of two numbers are 6 and 120 respectively. If one of the numbers is 24, find the other number.

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14

Find the LCM of 12 and 30.

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15

Find the least 4-digit number which is exactly divisible by 8, 10, and 12.

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16

Which of the following numbers is divisible by 3?

(a) 1212

(b) 625

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17

Find all the multiples of 9 upto 100.

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18

What is the sum of any two?

(a) even numbers

(b) odd numbers

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19

Write all the factors of the following number: 27

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20

Without actual division, show that 11 is a factor of 1,10,011.

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