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Rohan put 9 cards on a table, some face up and the rest face down. How many were put face down? A. Rohan put an even number of the cards face up. B. Rohan put twice as many of the cards face up as he put face down. Select the correct answer from the options given below:

Rohan put 9 cards on a table, some face up and the rest face down. How many were put face down? A. Rohan put an even number of the cards face up. B. Rohan put twice as many of the cards face up as he put face down. Select the correct answer from the options given below: Correct Answer Statement B alone is sufficient but statement A alone is not sufficient to answer the question asked. 

Given:

Rohan put 9 cards on a table, some face up and the rest face down

A. Rohan put an even number of the cards face up.

B. Rohan put twice as many of the cards face up as he put face down.

Explanation:

Statement A alone is not sufficient to answer the question

From statement B: Rohan put twice as many of the cards face up as he put face down

Let x be the number of card put Face down

⇒ Number of cards put Face up = 2x

Now, 

2x + x = 9

⇒ 3x = 9

⇒ x = 3

∴ The number of card put Face down = 3

Statement B alone is sufficient but statement A alone is not sufficient to answer the question asked.

 

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