Quantitative Aptitude - Modern Maths - P&C - How many four digit numbers
Quantitative Aptitude - Modern Maths - Permutation and Combination
Question
How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
Answer
50
Solution
From CAT 2017 - Quantitative Aptitude - Modern Maths - Permutation and Combination, we can see that,
For a number to be divisible by 6, it should have both 2 and 3 as factors.

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Quantitative Aptitude - Modern Maths - P&C - In how many ways can 8 identical
Quantitative Aptitude - Modern Maths - Permutation and Combination
Question
In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?
Answer
6
Solution
From CAT 2017 - Quantitative Aptitude - Modern Maths - Permutation and Combination, we can see that,
Number of pens that Amal gets = a+1
Number of pens that Bimal gets = b+2
Number of pe

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Quantitative Aptitude - Modern Maths - Permutation and Combination - In how many ways can 7 identical erasers
Quantitative Aptitude - Modern Maths - Permutation and Combination
Question
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
A) 16
B) 20
C) 14
D) 15
Answer
Option (A)
Solution
From CAT 2017 - Quantitative Aptitude - Modern Maths - Permutation and Combination, we can see that,
a + b + c + d = 7
Since, each

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Quantitative Aptitude – Modern Maths - P and C – How many two-digit numbers
Slot -2 – Quantitative Aptitude – Modern Maths - P & C – How many two-digit numbers
How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits?
a) 6
b) 8
c) 7
d) 5
Answer: 6
Solution:
Let the number is ab so
10a+b >3(10b+a)
7a>29b
a/b>29/7
So the possible pair of (a,b) are (5,1), (6,1), (7,1) ,

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Quantitative Aptitude – Modern Maths - Permutation and Combination – In a tournament, there are 43
Slot -2 – Quantitative Aptitude – Modern Maths - Permutation and Combination – In a tournament, there are 43 junior
In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276.

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Quantitative Aptitude – Modern Maths - Permutation and Combination – How many numbers with
Slot -1 – Quantitative Aptitude – Modern Maths - Permutation and Combination – How many numbers with two or more
How many numbers with two or more digits can be formed with the digits 1,2,3,4,5,6,7,8,9, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
Answer: 510
Solution :
As all given digits are different natural numbers and we have to use them at most once, ways of arra

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