CAT permutation combinations questions, solutiosn, detailed explanations provided by rajesh balasubramanian

CAT Quant Sample Questions - Permutations, Combinations

Question 1:

Sum of three whole numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

Explanation

Question 2:

Sum of three natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

Explanation

Question 3:

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?

Explanation

Question 4:

a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets)?

Explanation

Question 5:

A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12?

Explanation

Question 6:

If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of “ACDEF’?

Explanation

Question 7:

If we listed all numbers from 100 to 10,000, how many times would the digit 3 be printed?

Explanation

Question 8:

From the digits 2, 3, 4, 5, 6 and 7, how many 5-digit numbers can be formed that have distinct digits and are multiples of 12?

Explanation

Question 9:

All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations?

Explanation

Question 10:

All numbers from 1 to 150 (in decimal system) are written in base 6 notation. How many of these will not contain any zero?

Explanation

Go back to Question Bank »