# Thread: How to approve Quants question by ETS

1. Good post? |

## How to approve Quants question by ETS

I have my GRE exam coming up. ETS sent me a link with few quantitative tests. It says that these are real GRE questions. These tests have answers but no solution. Pl. help me solve the following questions:

The price per pair of brand X socks is \$2 and the price per pair of brand Y socks is \$3. If there is no sales tax and a customer chooses only from among these two brands, what is the greatest number of pairs of socks that he can buy with exactly \$25 ?

9
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20

The price for each package of paper of type A, including taxes, is \$3 and the price for each package of paper of type B, including taxes, is \$4. What is the greatest number of packages of paper a person can buy with exactly \$65 ?
17
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21

2. Good post? |
Hi,
We are asked to get the maximum number of things within a fixed amount of money. To get the maximum number of products, we have to maximize the number of products of lowest price.

For 1:
cheaper price is 2\$ and we have to buy the products exactly with 25\$.
25/2=12.5 , If we buy 12 pair brand X socks, 12*2=24, we have 1\$ left. But that cant be happened!!
If we buy 11 pair brand X socks 11*2=22, we have left 3\$ buy which we can buy a pair of brand y socks. So total 11+1 =12 pair

For 2:
similar to the 1st one:

65/3=21+something...., so 21*3=63, 2\$ left; so it is not acceptable!!
next,20*3=60, 5\$ left, we can not buy Product B with 5 \$ ;so it is not acceptable
19*3=57\$, 8\$ left by which we can buy 2 package of B, so total 19+2=21(E)