MEDIUM
CAT
IMPORTANT
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Find the remainder when 40! is divided by 41.

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Important Questions on Number Systems

EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 168
Find the remainder when (x4 + 3x3 + 4) is divided by (x + 3).
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 169
If X is a prime number then for how many values of X, (X2 + 7) is also a prime number?
HARD
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 170
If X = 993 - 633 - 363, then the number of factors of X are:
MEDIUM
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 171
if x is a natural number and 4<x<50, then the largest n, such that n! would always divide x(x2-1)(x2-4)(x2-9)(x+4) is?
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 172
if X is a natural number and X! ends with Y zeroes then the number of zeroes at the end of 5X! is:
MEDIUM
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 174
If A=n2nn, B=nn2n, C=(n2n)n, D=(nn)n2 when n is a natural number and n≠1. Then arrange them in terms of their values.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 175

How many numbers in the form of (2n-1) which are less than 5000 are prime?

HARD
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 1
The arithmetic mean of two numbers is smaller by 24 than the larger of two numbers and the GM of the same two numbers exceeds by 12 the smaller of the numbers. Find the numbers.