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KVPY Aptitude Test - Stream SA

IMPORTANT

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When $1! + 2! + 3! + \dots + 25!$ is divided by $7,$ what will be the remainder?

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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 8

What is the remainder when

9875347 \times 7435789 \times 5789743

is divided by

4 ?

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 9

How many zeros will be there at the end of the product

2!^{2!} \times 4!^{4!} \times 6!^{6!} \times 8!^{8!} \times 10!^{10!} ?

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 10

4

-digit number is formed by repeating a

2

-digit number such as

2525, 3232

etc. Any number of this form is exactly divisible by:

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 11

In a

4

-digit number, the sum of the first two digits is equal to that of the last two digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 12

Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took

\frac{1}{3}

of the mints, but returned four because she had a monetary pang of guilt. Fatima then took

\frac{1}{4}

of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only

17

mints left when the raid was over. How many mints were originally in the bowl?

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 13

Let

D

be a recurring decimal of the form

D = 0 . a_{1} a_{2} a_{1} a_{2} a_{1} a_{2} \dots \dots,

where digits

a_{1}

and

a_{2}

lie between

0

and

9 .

Further, at most one of them is zero. Which of the following numbers necessarily produces an integer, when multiplied by

D ?

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IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 14

P, Q

and

R

are three natural numbers such that

P

and

Q

are primes and

Q

divides

P R

. Then out of the following the correct statement is:

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IMPORTANT

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

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})

When 1!+2!+3!+…+25! is divided by 7, what will be the remainder?

Important Questions on Fundamentals of Mathematics

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When $1! + 2! + 3! + \dots + 25!$ is divided by $7,$ what will be the remainder?