MEDIUM
CAT
IMPORTANT
Earn 100

Amartya Banerjee has forgotten the telephone number of his best friend Abhijit Roy. All he remembers is that the number had -digits and ended with an odd number and had exactly one . How many possible numbers does Amartya have to try to be sure that he gets the correct number?
(a)
(b)
(c)
(d)

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Important Questions on Permutations and Combinations
EASY
CAT
IMPORTANT
How many natural numbers not more than can be formed with the digits (if repetition of digits is allowed)?

EASY
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IMPORTANT
How many natural numbers less than can be formed with the digits (if repeatations are not allowed)?

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IMPORTANT
How many even natural numbers divisible by can be formed with the digits (if repeatations of digits not allowed)?

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IMPORTANT
There are articles numbered ,,,,....... They are arranged in all possible ways. How many arrangements would be there in which will always be before .

EASY
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IMPORTANT
The letters of the word PASTE are written in all possible orders and these words are written out as in a dictionary. Then the rank of the word SPATE is:

EASY
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IMPORTANT
The straight lines , , are in a parallel and lie in the same plane. A total number of points on ; points on and points on are used to produce triangles. What is the maximum number of triangles formed?

EASY
CAT
IMPORTANT
The sides , of a triangle have , and interior points respectively on them. The total number of triangles. that can be constructed by using these points as vertices are:

MEDIUM
CAT
IMPORTANT
The AMS MOCK CAT test CATALYST consists of four sections. Each section has a maximum marks of marks. Find the number of ways in which a student can qualify in the AMS MOCK CAT if the qualifying mark is .
