CAT 2020 Question Paper | Quants Slot 1

The question is about the mean of all four-digit natural numbers. All the numbers are in the form of aabc. In CAT exam one can expect 2-3 questions from Number Theory. One needs lots of practice to master this topic. 2IIM Online CAT Coaching provides exactly that. Make good use of 2IIM CAT question bank and get a kick-ass CAT score.

Question 10 : The mean of all 4 digit even natural numbers of the form 'aabb', where a>0, is

Video Explanation

Explanatory Answer

Even numbers so b = 0
1100 1122 1144 1166 1188
2200 2222 2244 … …
.
.
.
9900 … … … …
By adding
$\frac{5(1100 + ... + 9900) + 9(22 + 44 + 66 + 88)}{45}$ {Since the term is common 5 times and 9 times}
$\frac{(5 × 100 × 11 × 45) + 9 × 22(1 + 2 + 3 + 4)}{45}$
= 5544

The question is "The mean of all 4 digit even natural numbers of the form 'aabb', where a>0, is"

Hence, the answer is, "5544"

Verbal Ability for CAT | CAT Reading Comprehension

Verbal Ability for CAT| CAT Para Jumble

Verbal Ability for CAT | CAT Sentence Elimination

Verbal Ability for CAT | CAT Paragraph Completion

Verbal Ability for CAT | CAT Critical Reasoning

Verbal Ability for CAT | CAT Word Usage

Verbal Ability for CAT| CAT Para Summary

Verbal Ability for CAT | CAT Text Completion

Verbal Ability for CAT | CAT Sentence Correction