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Chapter 8

Playing With Numbers — Statement I-II Type Questions

Class - 6 Concise Mathematics Selina



Statement I-II Type Questions

Question 11

Statement 1: 4048 is divisible by 11.

Statement 2: (8 + 0) - (4 + 4) = 0

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

For 4048, the sum of digits in odd places = 8 + 0 = 8 and the sum of digits in even places = 4 + 4 = 8.

The difference = (8 + 0) - (4 + 4) = 8 - 8 = 0.

Since the difference is 0, 4048 is divisible by 11.

So, statement 1 is true.

Also, (8 + 0) - (4 + 4) = 8 - 8 = 0.

So, statement 2 is true.

Hence, option 1 is the correct option.

Question 12

Statement 1: Out of 6, 12 and 216, number 216 is the only multiple of 8.

Statement 2: Every non-zero number has finite number of multiples.

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

6 ÷ 8 and 12 ÷ 8 do not give whole numbers, but 216 ÷ 8 = 27.

So, out of 6, 12 and 216, only 216 is a multiple of 8.

So, statement 1 is true.

Every non-zero number has an infinite number of multiples, not a finite number.

So, statement 2 is false.

Hence, option 3 is the correct option.

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