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Find a two-digit number that exceeds, the sum of the squares of its digits by 12, and double the product of its digits by 16.

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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 47
The sum of the squares of the digits constituting a two-digit number is 10, and the product of the required number by the number consisting of the same digits written in the reverse order is 403. Find the two numbers that satisfy these conditions.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 48
On dividing a two-digit number by the sum of its digits, a quotient of 4 and a remainder of 3 are obtained. If the two-digit number is divided by the product of its digits, a quotient of 3 and a remainder of 5 are obtained. Find the two-digit number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 49
There is a natural number that becomes equal to the square of a natural number when 100 is added to it and to the square of another natural number when 169 is added to it. Find the number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 50
Find two natural numbers whose sum is 85 and whose least common multiple is 102.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 51
Find two three-digit numbers whose sum is a multiple of 504 and the quotient is a multiple of 6.
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CAT
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 52
The difference between the digits in a two-digit number is equal to 2, and the sum of the squares of the same digits is 52. Find the possible numbers.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 53
On dividing a two-digit number by the product of its digits, a quotient of 3 and a remainder of 9 are obtained. On subtracting the product of the digits of the number from the square of the sum of its digits, the given number is obtained. Find the number.
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CAT
IMPORTANT
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.