Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 15

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

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If $a^{2} + 2 b = 7, b^{2} + 4 c = - 7$ and $c^{2} + 6 a = - 14,$ then the value of $(a^{2} + b^{2} + c^{2})$ is

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Important Questions on Fundamentals of Mathematics

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 16

If

65982 a b

is divisible by

55

(where

a, b

are single digit whole numbers), then number of all possible ordered pair

(a, b)

is

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 18

Number of integers lying between

1

to

102

which are divisible by all

\sqrt{2}, \sqrt{3}, \sqrt{6},

is:

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 19

If

x, y

are odd positive integers, then

x^{2} + y^{2}

must be divisible by:

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 20

Number of two-digit whole numbers which when divided by

2, 8, 9

leave the remainder

1, 7, 8

, respectively, is

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 21

If

5^{15} - 1

is divisible by a certain number, then which of the following is also divisible by that number

HARD

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 22

When

102^{29}

is divided by

5

we get remainder

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 23

If

a x^{3} + 4 x^{2} + 3 x - 4

and

x^{3} - 4 x + a

leaves same remainder when divided by

(x - 3),

the value of

- a

is

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 24

If

x^{2} - 1

is a factor of

a x^{4} + b x^{3} + c x^{2} + d x + e

, then