Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 71

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Earn 100

P, Q, R, S, and T are five prime numbers, where $P < Q < R < S < T$ . It is also given that $P + Q + R + S + T = 482$ . What is the value of $P^{5}$ ?

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Important Questions on Numbers and Their Properties

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 72

If n is a natural number greater than

1

, then

1075^{n} - 1075^{n - 1}

is not divisible by:

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 75

N is an even number

8

when written in the decimal system. If S is the sum of the digits of N, when it is written in base

7

, we can surely say that S would always be:

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 1

Find the last non zero digit of

96!

.

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 2

What will be the remainder when

1212121212 \dots 300

times is being divided by

99

?

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 3

Two players A and B are playing a game of putting '

+

' and '

-

' signs in between any two integers written from

1

to

100

. A starts the game by placing

a + sign

anywhere between any two integers. Once all the signs have been placed, the result is calculated. If it is even, then A wins and if it is odd, then B wins, provided they are placing signs by taking turns one by one and either of them can place any sign anywhere between any two integers. Who will win at the end?

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 4

What is the remainder when