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Earn 100

Prof. Mathur and Prof. Singh attended the All India Historian's meet last week. Prof. Mathur told Prof. Singh, 'I found out that your teaching experience is twice that of mine'. Prof. Singh replied in the affirmative. Prof'. Mathur continued, 'But last time when both of us came for the same meet, I remember that your teaching experience was thrice that of mine'. 'That was 2 years ago.' Prof. Singh said. How many years has Prof. Singh been working?

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Important Questions on Numbers and Their Properties

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 40
Raju had to divide 1080 by N, a two-digit number. Instead, he performed the division using M, which is obtained by reversing the digits of N, and ended up with a quotient that was 25 less than what he should have obtained otherwise. If 1080 is exactly divisible both by N and M, find the sum of the digits of N.
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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 42

The last digit of the L C M of32003-1 and 32003+1 is
 

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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 43
a, b, and c are positive integers such that (a+b+c)=2003. Let E=(-1)a+(-1)b+(-1)c. Find the number of possible values of E.
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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 44
Ajay took a four-digit number in base 5 notation. He subtracted the sum of the digits of the numbers from the number. From the result, he struck off one of the digits. The remaining three digits were 1,0, and 2. Then, the digit struck off by Ajay was:
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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 47
A teacher wrote a number on the blackboard and the following observations were made by the students. A number is a four-digit number.

The sum of the digits equals the product of the digits.

The number is divisible by the sum of the digits.

The sum of the digits of the number is:
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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 48
N of odd numbers are taken. The product of these odd numbers is of the form (4n+1), where n is any natural number. Which of the following is true regarding the number of numbers?
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Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 49
16 students were writing a test in a class. Rahul made 14 mistakes in the paper, which was the highest number of mistakes made by any student. Which of the following statements is definitely true?
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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 50
The sum of the factorials of the three digits of a three-digit number is equal to the three-digit number formed by these three digits taken in the same order. Which of the following is true of the number of such three-digit numbers, if no digit occurs more than once?