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Chapter 7

Decimal Fractions — Statement I-II Type Questions

Class - 6 Concise Mathematics Selina



Statement I-II Type Questions

Question 13

Statement 1: 0.4 × 0.04 × 100 = 1.6.

Statement 2: 0.4 × 0.04 × 100 = 0.4 × (0.04 × 100) = 0.4 × 4 = 1.6

Which of the following options is correct?

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Answer

0.4 × 0.04 × 100 = 0.4 × (0.04 × 100) = 0.4 × 4 = 1.6

So Statement 1 is true and Statement 2 correctly shows the working and is also true.

Hence, option 1 is the correct option.

Question 14

Statement 1: m and n are two numbers such that the difference between them is 17. ⇒ m - n = 17

Statement 2: If m is greater than n; m - n = 17 and if n is greater than m; n - m = 17

Which of the following options is correct?

  1. Both the statements are true.

  2. Both the statements are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Answer

The difference between two numbers being 17 does not necessarily mean m - n = 17, because we do not know which number is greater.

So Statement 1 is false.

Statement 2 correctly accounts for both cases (m - n = 17 when m > n and n - m = 17 when n > m), so it is true.

Hence, option 4 is the correct option.

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