Practice30Create account

Meera arranges all seven digit cards into a 7-digit number. Which of her arrangements is divisible by 11?

Class 6Playing with NumbersPlaying with Numbers
  • A1234567
  • B7654321
  • C7345216
  • D7345261

Step-by-Step Solution

Test for 11: (sum of digits in odd places) − (sum in even places) must be 0 or a multiple of 11. For 7345261: . ✔ For 1234567 and 7654321 the difference is 4; for 7345216 it is 10.
Answer: D) 7345261

Key idea: Quick divisibility tests

Some checks are so fast you can do them in your head:

- **By 2**: the last digit is even (0, 2, 4, 6, or 8).
- **By 3**: the sum of the digits is divisible by 3. (273 → 2 + 7 + 3 = 12 → 12 ÷ 3 = 4 ✓)
- **By 5**: the last digit is 0 or 5.
- **By 9**: the sum of the digits is divisible by 9.
- **By 10**: the last digit is 0.
- **By 4**: the last two digits form a number divisible by 4.

These let you spot factors without doing the full division.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Playing with Numbers practice questions

More Class 6 Playing with Numbers practice

Kavya has a swimming class on every date of this month that is a multiple of 7. On which…Tiles of 8 cm by 6 cm are laid, all the same way round, to cover the smallest possible…Count the teeth on Gear A and Gear B. Which statement about the two numbers is true?Which of the following is a multiple of 7?Which divisibility test confirms that 234 is divisible by 3?