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

MEDIUM

CAT

IMPORTANT

Earn 100

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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Important Questions on Number Systems

MEDIUM

CAT

IMPORTANT

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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CAT

IMPORTANT

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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CAT

IMPORTANT

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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CAT

IMPORTANT

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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CAT

IMPORTANT

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

.

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 8

Find the sum of all odd three digit numbers that are divisible by 5.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 9

The product of a two digit number by a number consisting of the same digits written in the reverse order is equal to

2340

. Find the lower number.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 10

Find the lowest of three numbers as described: If the cube of the first number exceeds their product by $2$ , the cube of the second number is smaller than their product by $3$ , and the cube of the third number exceeds their product by $3$ .