NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 7

EASY

10th CBSE

IMPORTANT

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If two positive integers $p$ and $q$ can be expressed as $p = a b^{2}$ and $q = a^{3} b$ , where $a, b$ being prime numbers, then $L C M$ $(p, q)$ is equal to

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Important Questions on Real Numbers

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 8

The product of a non-zero rational and an irrational number is

EASY

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 9

The least number that is divisible by all the numbers from

1

to

10

(both inclusive).

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 10

The decimal expansion of the rational number

\frac{14587}{1250}

will terminate after

MEDIUM

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 1

Write whether every positive integer can be of the form

4 q + 2

, where q is an integer. Justify your answer.

EASY

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 2

The product of two consecutive positive integers is divisible by

2

.

EASY

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 3

'The product of three consecutive positive integers is divisible by

6

'.

HARD

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 4

Write whether the square of any positive integer can be of the form

3 m + 2

, where m is a natural number. Justify your answer.

HARD

10th CBSE

IMPORTANT

NCERT EXEMPLAR PROBLEMS-SOLUTIONS MATHEMATICS>Chapter 1 - Real Numbers>Exercise>Q 5

A positive integer is of the form

3 q + 1,

q

being

a

natural number. Can you write its square in any form other than

3 m + 1

,

i . e ., 3 m

or

3 m + 2

for some integer

m

? Justify your answer.