Each question is followed by two statements I and II Mark the answer 1 If the question can be answer...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1.If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2.If the question can be answered by using either statement alone.

3.If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4.If the question cannot be answered even by using both statements together.

Monty came back home from the mall with one-third of the amount of money he took to the mall. How much money did he take to the mall?

I. He bought a shirt with half of his money and spent Rs. 18 on food.

II.He spent three times as much to buy a shirt as he spent on food.

Correct option:2

- Statement I: He spent half of his money on a shirt and Rs. 18 on food.

- Using this statement alone:

- Let the total money be Rs. x

x/2+18=2x/3

x/6=18

X=108

this statement alone is sufficient.

- Statement II: He spent three times as much on a shirt as on food.

- Using this statement alone:

- Shirt cost = 3 times food cost, and food cost = Rs. 18.

- This gives a shirt cost of 54.

- Total money = shirt cost + food cost + remaining money = 54 + 18 + remaining.

- This statement alone is also sufficient to find the total.

- Either statement can lead to the amount Monty took to the mall

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