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Quantitative - Mathematics - Word Problems:

Number System - All NUMBERS on the Tests

MCQ - 402-13169

Question:

How many of the numbers between 100 and 300 begin or end with 2?

  1. 20
  2. 40
  3. 100
  4. 40
  5. 180

Correct Answer: D

Explanation:

How many of the numbers between 100 and 300 begin or end with 2?

When 2 is in beginning - Possibilities- 1 × 10 × 10

When 2 is at the end - Possibilities- 2 × 10 × 1

When 2 is at beginning and end both- (the intersection of the above cases, which has been counted in both twice, so we will have to subtract this later)

Possibilities - 1 × 10 × 1

So the number of numbers between 100 and 300, that start or end with 2 = 100+20-10 = 110

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