# BFACTORY CAT 2018 QA ANSWER KEY

Hello CAT 2018 takers.

Here is the answer key to CAT 2018 slot 1 and slot 2 QA sections.

Some questions were considered tricky by many students. Posting the solution hint to some of those! Detailed solution will be posted later!

Slot 2: Q5:

 If the sum of squares of two numbers is 97, then which one of the following cannot be their product? 1. 64 2. −32 3. 16 4. 48

Solution hint: Take ab = option value. Ex. ab =64. Then b = 64/a. Now, a^2 + (64/a)^2 = 97. In case of 64, Discriminant comes negative.

Slot 2: Question 9

 The smallest integer n for which 4n > 1719 holds, is closest to 1. 35 2. 39 3. 37 4. 33

Solution hint: Left hand side can only be greater if n>38 even if base on right hand side is 16. Closest value =>39.

Slot 2: Question 20

 A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate. All inlets of type B, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in 1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will the empty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open?

Solution hint: (10A+45B)*30= (8A+18B)*60. Get efficiency ratio 1.5 and then solve.