# CAT 2020 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 10

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

1. 5544
2. 4466
3. 4864
4. 5050

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Even numbers so b = 0
1100 1122 1144 1166 1188
2200 2222 2244 … …
.
.
.
9900 … … … …
$$frac{5$1100 + ... + 9900$ + 9(22 + 44 + 66 + 88)}{45}) {Since the term is common 5 times and 9 times}
$$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"

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