How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 70

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IMPORTANT

Earn 100

A triangular number is defined as a number which has the property of being expressed as a sum of consecutive natural numbers starting with $1$ . How many triangular numbers less than $1000$ , have the property that they are the difference of squares of two consecutive natural numbers?

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Important Questions on Number Systems

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 71

x

and

y

are two positive integers. Then what will be the sum of the coefficients of the expansion of the expression

{(x + y)}^{44}

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 72

What is the remainder when

9 + 9^{2} + 9^{3} + . . . . + 9^{2 n + 1}

is divided by

6

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 73

The remainder when the number

123456789101112 . . . . . . . . 484950

is divided by

16

is _____.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 74

What is the highest power of

3

available in the expression

(58! - 38!)

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 75

Find the remainder when the number represented by

22334

raised to the power

(1^{2} + 2^{2} + 3^{2} + . . . . + 66^{2})

is divided by

5

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 76

What is the total number of divisors of the number

12^{33} \times 34^{23} \times 2^{70}

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 77

Which of the following will represent the sum of factors of the number

12^{33} \times 34^{23} \times 2^{70}

( such that only odd factors are counted)?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 78

What is the remainder when

{(1!)}^{3} + {(2!)}^{3} + {(3!)}^{3} + {(4!)}^{3} + . . . + {(1152!)}^{3}

is divided by

1152 ?