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To play 'meow' game, everyone stands in a circle. One player calls out 'one'. The next player says 'two' and so on. A player who has to call out 7 or a number which can be divided by 7 has to say 'meow' instead of the number. One who forgets to say 'meow' is out of the game. The player, who says 'meow' in the last, will be the winner. Which of the following groups of numbers should occur to say 'meow' to become the winner?

To play 'meow' game, everyone stands in a circle. One player calls out 'one'. The next player says 'two' and so on. A player who has to call out 7 or a number which can be divided by 7 has to say 'meow' instead of the number. One who forgets to say 'meow' is out of the game. The player, who says 'meow' in the last, will be the winner. Which of the following groups of numbers should occur to say 'meow' to become the winner? Correct Answer 133, 154, 203

Given:

The player who will say 'meow' is at number 7 or a number that can be divided by 7

Here, all the numbers in the options are three-digit numbers.

Concept used:

According to the question, the player who will say 'meow' is at number 7 or a number that can be divided by 7. That means we have to find the option in which all the numbers are divisible by 7.

Formula used:

Divisibility rule of 7: If twice the number at the unit place is subtracted from the rest of the digits and the remainder is divisible by 7 then the number will be divisible by 7.

Calculation:

Let's justify option 1,

154 ⇒ 15 - (2 × 4) = 7 → Divisible by 7

192 ⇒ 19 - (2 × 2) = 15 → Not divisible by 7

211 ⇒ 21 - (2 × 1) = 19 → Not divisible by 7

∴ All the numbers in option 1 are not divisible by 7.

Now for option 2,

147 ⇒ 14 - (2 × 7) = 0 → Divisible by 7

187 ⇒ 18 - (2 × 7) = 4 → Not divisible by 7

210 ⇒ 21 - (2 × 0) = 21 → Divisible by 7

∴ All the numbers in option 2 are not divisible by 7.

If we check option 3,

133 ⇒ 13 - (2 × 3) = 7 → Divisible by 7

154 ⇒ 15 - (2 × 4) = 7 → Divisible by 7

203 ⇒ 20 - (2 × 3) = 14 → Divisible by 7

∴ All the numbers 133, 154, 203 are divisible by 7.

Let,s justify option 4,

126 ⇒ 12 - (2 × 6) = 0 → Divisible by 7

162 ⇒ 16 - (2 × 2) = 12 → Not divisible by 7

175 ⇒ 17 - (2 × 5) = 7 → Divisible by 7

∴ All the numbers in option 4 are not divisible by 7.

After justifying all the options, only option 4 has all three numbers that are divisible by 7.

∴ 133, 154, 203 should occur to say 'meow' to become the winner.

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