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CAT Exam Model Paper 2 with solutions for free online practice

Question : 70 of 100

Marks: +1, -0

At Sahara shopping centre, a person can purchase as much articles at a time as his or her age that is a person of n years age can purchase only n similar articles at a time. Amisha is younger to her elder brother who has just entered into his twenties. One day Amisha went to the Sahara shopping centre, she purchased same toffees at a particular rate on the ground floor. But when she reached on third floor she found that she could purchase double the no. of toffees with the same amount as she had spent on the ground floor. Also to purchase the same no. of toffees on the third floor she had to spend ? 2 less than that of on the first floor. How many toffees did she buy?

Validate

Solution:

(b) Just go through option and factorize the product into two factors such that the given conditions must satisfy. e.g.,

\begin{array}{ll} 6 = & 1 \times 6 \\ & 2 \times 3 \\ & 3 \times 2 \\ & 6 \times 1 \end{array}

It is not true.

Again consider option (b)

\begin{array}{lll} & 12 = & 1 \times 12 \\ & & 2 \times 6 \end{array}

3 \times 4 \rightarrow 3 \times 4 = 12

4 \times 3

6 \times 2 \rightarrow 6 \times 2 = 12

12 \times 1

Now you can see that the rate is being half from 4 to 2 so she can purchase double number of toffees as she was already purchasing on the ground floor. Again to purchase the same number of toffees she had to spend ₹ 2 less than the spending on the ground floor:

Rate	Number of toffee/Re	Total number of toffee
4 ×	3	= 12
2 ×	6	= 12

and if you check other options (c) and (d) they will not satisfy the given conditions.

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