Riddler's DI Bash

Let me introduce my CAT 2008 students to another pillar of our TathaGat team- The Riddler. Riddler can make DI questions as fast as he can churn out information on various cars, their models and their prices. Our classroom students often find him smoking on the stairs and lost in thought. No, he is not thinking about some question that he is making; he makes them too fast and doesn’t waste time. He is probably thinking about price of a Hummer or a Honda CRV. If not that, he would probably be wondering which movie to watch next because he religiously watches each of them. The good part about his questions is that they are solvable; the questions are not made to harass students unnecessarily. Of course, I am the poor soul whom Riddler bashes first with all his questions in order to check their validity. So today I decided to give the TGites a taste of his riddles. Good luck guys!- Total Gadha

Six students: A, B, C, D, E and F are staying in a hostel. Their heights are integer multiples of 0.5 feet. Average height of the group is 5.5 feet and the average height of A & C is 5 feet. D is the tallest in this group and F is the shortest. They are accommodated in two rooms of different sizes, which can accommodate three beds each. Each student requires one bed for himself. They have the option of three different sizes of beds with the lengths of 4 feet, 5 feet & 6 feet. Only 4 & 5 feet beds can be put in the smaller room but the other room can have any size of bed. It is assumed that a student will be satisfied to have a bed only if the length of the bed is within

± 0.5 feet of that student’s height. Each size of bed is available in enough number. It is also know that each of the six student was satisfied to have his bed.

1. Who could be the roommate of E?

(a) D
(b) C
(c) F
(d) A
(e) Cannot be determined

2. Which among the following groups is accommodated in the smaller room?

(a) DBE
(b) CAF
(c) FAB
(d) ADC
(e) None of these

3. Which two students are having same height?

(a) D & E
(b) C & F
(c) F & B
(d) A & C
(e) C & E

A botanical experiment is being conducted on three varieties of sweet pea- Healthy, infected and resistant. In the three stages of the experiment, equal number of plants from two of the three varieties are chosen and crossed with each other in pairs. Whenever, a plant of healthy variety is crossed with that of infected variety, it results in the healthy plant also becoming infected. Whenever a plant of infected variety is crossed with that of resistant variety, it results in the infected plant dying out. Whenever a plant of resistant variety is crossed with that of healthy variety, it results in the healthy plant also becoming resistant. The bar chart below shows the initial and stage-wise percentage of plants of the three varieties out of the total number of plants.

1. The crossing between the healthy variety and the resistant variety is happening in

(a) stage 1
(b) stage 2
(c) stage 3
(d) cannot be determined

2. What is the percentage change in the number of plants of the healthy variety in stage 1 compared with the initial number of plants?

(a) 10%
(b) 12.5%
(c) 16.6%
(d) no change

3. What can be the minimum change in the number of plants of infected variety from the initial stage to stage 3?

(a) 3
(b) 4
(c) 5
(d) 10

4. In stage 3, the crossing takes place between which two varieties?

(a) healthy and infected
(b) infected and resistant
(c) resistant and healthy
(d) cannot be determined

Pico Fermi Bagels is a math/logic game commonly taught to schoolchildren to help them develop deductive reasoning skills. Player One thinks of a number with each digit different, and records it on a hidden piece of paper. Player Two must now guess at what the number is. Player One must answer each guess with a combination of three responses:

Here is a sequence showing the numbers guessed by player one (about a four-digit number guessed by player 2) and the response (in Pico, Fermi and bagels) given by player 1:

1. For how many digits can their placement be accurately determined?

(a) 1
(b) 2
(c) 3
(d) 4
(e) cannot be determined

2. How many numbers are possible from the above the observation?

(a) 1
(b) 2
(c) 3
(d) 4
(e) cannot be determined

Prior to the Flim flam Awards in Tollywood, a poll is conducted among the audience, which asks them to guess four nominees for the best actor award and rate them 1, 2, 3 & 4 (1 means the best and 4 means the worst). In the Sharma family, four of the family members made their guesses. When the final result is declared they observed the following data:

1. Who ranked first?

(a) Amitab or Dev
(b) Farukh or Bobby
(c) Ganesh
(d) Dev
(e) Cannot be determined

2. Who, out of the following, could not make into the first four?

(a) Dev
(b) Farukh
(c) Ganesh
(d) Chitwan
(e) Bobby

3. Who ranked 2^nd?

(a) Ganesh or Bobby
(b) Dev or Farukh
(c) Amitab or Dev
(d) Ganesh
(e) Chitwan

4. Whose statement is definitely required to know the four actors who got nominated among the top four?

(a) Mrs Sharma
(b) Rishu
(c) Mona
(d) Spicy
(e) All of them