How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 134

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IMPORTANT

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Consider the set of the first $14$ natural numbers. Three numbers $a, b, c$ are selected from this set such that $a > 3 b > 4 c$ . How many such distinct triplets ( $a, b, c$ ) are possible?

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Important Questions on Number Systems

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 135

How many four digit numbers having distinct digits using the first five natural numbers (

1

to

5

) can be formed such that the numbers formed are divisible by each of the digits used in the number?

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

What two digits number is less than the sum of the square of its digits by

11

and exceeds their doubled product by

5

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 2

Find the lower of the two successive natural numbers if the square of the sum of those numbers exceeds the sum of their squares by

112

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 3

First we increased the denominator of a positive fraction by

3

and then we decreased it by

5

. The sum of the resulting fractions proves to be equal to

\frac{19}{42}

. Find the denominator of the fraction if its numerator is

2

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 4

Find the last two digits of

15 \times 37 \times 63 \times 51 \times 97 \times 17

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 5

Let us consider a fraction whose denominator is smaller than the square of the numerator by unity. If we add

2

to the numerator and the denominator, the fraction will exceed

\frac{1}{3}

. If we subtract

3

from the numerator and the denominator, the fraction will be positive but smaller than

\frac{1}{10}

. find the value.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 6

Find the sum of all three digit numbers that give a remainder of

4

when they are divided by

5

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 7

Find the sum of all two digit numbers that give a remainder of

3

when they are divided by

7

.