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IMPORTANT
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Find two numbers such that their sum, their product and the difference of their squares are equal.

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Important Questions on Number Systems

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IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 30
Find the number of zeros in the product: 11×22×33×44×.....×9898×9999×100100.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 31
Find the pairs of natural numbers whose greatest common divisor is 5 and the least common multiple is 105.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 32
The denominator of an irreducible fraction is greater than the numerator by 2. If we reduce the numerator of the reciprocal fraction by 3, and subtract the given fraction from the resulting one, we get 115. Find the given fraction.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 33
A two-digit number exceeds by 19 the sum of the squares of its digits and by 44 the double product of its digits. Find the number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 34
The sum of the squares of the digits constituting a two-digit positive number is 2.5 times the sum of its digits and is larger by unity than the trebled product of its digits. Find the number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 35
The units digit of a two-digit number is greater than its tens digit by 2, and the product of that number by the sum of its digits is 144. Find the number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 36
Find the number of zeroes in the product 5×10×25×40×50×55×65×125×80.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 54
The sum of the digits of a three-digit number is 17, and the sum of the squares of its digits is 109. If we subtract 495 from that number, we shall get a number consisting of the same digits written in the reverse order. Find the number.