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M is a two-digit number which has the property that the product of factorials of its digits is greater than the sum of factorials of its digits. How many values of M exist?

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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 63
A natural number when increased by 50% has its number of factors unchanged. However, when the value of the number is reduced by 75%, the number of factors is reduced by 66.66%. Find the number.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 65
If you form a subset of integers chosen from between 1 to 3000, such that no two integers add up to a multiple of nine, what can be the maximum number of elements in the subset, including both 1 and 3000.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 67
K is a three-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the hundreds and the tens digits of K?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 68
K is a three-digit number such that the ratio of the number to the sum of its digits is least. What can be said about the difference between the tens and the units digit?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 69
K is a three-digit number such that the ratio of the number to the sum of its digits is least. For how many values of K will the ratio be the highest?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 70
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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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+92+93+....+92n+1 is divided by 6?