[Download PDF] TISSNET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 41

All the members of a national club participate either in the Badminton or the Chess competition. 2100 members participate in the Chess, 1750 participate in the Badminton and 1100 participates in both the games. How many members does the national club have?

Video Solution

Solution

The number of members who participated only in chess = 2100 - 1100 = 1000

The number of members who participated only in badminton = 1750 -1100 = 650

Total number of members participated = 1000+650+1100 = 2750

The answer is option B.

Question 42

Set A is a collection of first 10 whole numbers. Set B is a collection of first 10 natural numbers. How many number/s is/are not common to both set A and set B?

Video Solution

Solution

Set A = { 0,1,2,3,4,5,6,7,8,9}

Set B = {1,2,3,4,5,6,7,8,9,10}

2 elements are not common

Question 43

Pushpa is the mother of Kamla. Kamla is the sister of Dilip. Dilip is the father of Jimmy. How is Pushpa related to Jimmy?

Video Solution

Solution

The mentioned information can be represented in the following way. We can see that Pushpa is Grandmother of Jimmy

Question 44

In a certain group of families living together in a certain locality of Bangalore, 35% families own a smart television and 25% own a luxury hutch-back. 55% families own neither a smart television nor a luxury hutch-back. 15 families own both a smart television and a luxury hutch-back. How many families are there in the group?

Video Solution

Solution

Let there be X group of family

Then

N(Total Groups) = N(People with Smart TV) + N(People with Hatch-back) - P( have both) + N(have none)

X = (0.35)X + (0.25)X - 15 + (0.55)X

Gives X =100

Question 45

Ajay: "Prajita occupies $$7^{th}$$ position from the top in Economics test in our class"
Raju: "Yes, you are correct and Prajita also occupies 35th position from the bottom in the same test"
Ajay and Raju study in the same class with Prajita and "N" others. Find the total number of students in the class, other than Prajita, Raju and Ajay.

Video Solution

Solution

Let there be a total of n students in the class including Prajita, Raju and Ajay.

For student ranked $$1^{st}$$, his rank from bottom = n; Sum of his ranks from top as well as bottom = n+1

For student ranked $$2^{nd}$$, his rank from bottom = n-1; Sum of his ranks from top as well as bottom = n+1

Similarly for Parajit; 7+ 35 = n+1 or n = 41

The total number of students in the class, other than Prajita, Raju and Ajay are 38

Question 46

A cuboid of dimensions $$(8 cm. \times 6 cm. \times 5 cm.)$$ is painted RED on the pair of opposite surfaces of dimensions $$(8 cm. \times 6 cm.)$$. Remaining two opposite surfaces of dimensions $$(8cm. \times 5 cm.)$$ are painted BLACK. And two surfaces of dimensions $$(6 cm. \times 5 cm.)$$ are painted with BLUE colors. Now the block is divided among smaller cubes of dimensions $$(1 cm. \times 1 cm. \times 1 cm.)$$. In how many of the small cubes all the three colors appear?

Video Solution

Solution

Since the opposite faces are painted with the same color, The area where all 3 colors will be present is the corners. Since there are 8 corners of the cube. After cutting there will be 8 cubes with 3 colors on the faces

Question 47

In the question given below, statements are followed by inferential conclusions. The conclusion, which can be derived without supposing anything else, i.e. without adding anything extra to the statement (s), is your answer.

Very soon, there are chances that electricity tariff would be hiked. This proposal will bring about a sharp increase for the domestic consumers and marginal increase for the industrial consumers.

Video Solution

Solution

The statement is about tariff only hence Option A& Option C can be eliminated

It is nowhere mention about disparity hence B can also be ruled out

It can be inferred that their is high domestic consumption as it is mentioned that there will be sharp increase for the domestic consumers. Hence Option D is correct

Question 48

The letters P, Q, R, S, and T each stands for one of 1, 2, 3, 4, and 5 but not necessarily in that order. P is odd, Q is neither 4 nor 5, R is 1, S is either 4 or 5, T is neither 2, 3 nor 4. The correct order of the digits (according to the correct order of the English alphabet) is:-

Video Solution

Solution

Given that P,Q,R,S and T are among 1,2,3,4 and 5. Upon tabulating the above given information we get the following table

Since it is given that R has to be 1, T has to be 5 which implies S = 4. Since 3 is the only odd number left P=3 which leaves Q=2

Hence P,Q,R,S,T = 3,2,1,4,5

Question 49

There are five friends F1, F2, F3, F4 and F5. F1 and F4 are unmarried ladies and do not take part in any game. None of the ladies play chess or tennis. There is a married couple in which F5 is the husband. Out of the five friends, one is a tennis player and one is a chess player. F2 is the brother of F3 and is neither a chess, nor a badminton player. Who is the chess player?

Video Solution

Solution

Given that F1 and F4 are unmarried ladies and do not take part in any game.

Since F2 is the brother of F3. It implies that F3 has to be the wife of F5. It can be tabulated as follows

It is given that there is 1 chess player. Hence F5 plays chess

Question 50

Dr. Bappa has five gold rings, each having a different weight. Ring R1 is weighing twice as much as Ring R2. Ring R2 is weighing four and half times as much as Ring R3. Ring R3 is weighing half as much as Ring R4. Ring R4 is weighing half as much as Ring R5. Ring R5 is weighing less than Ring R1 but more than Ring R3. Which of the following represents the descending order of weights of the rings?

Video Solution

Solution

Above statements can be written as follows

$$R_1 = 2\times R_2$$

$$R_2 = 4.5\times R_3$$

$$R_3 = 0.5\times R_4$$

From above 3 we can conclude $$\ R_1>R_2>R_4>R_3$$. It is given that $$R_1>R_5>R_3$$

Option C satsfies all the criteria

CAT Content

TISSNET 2017

All the members of a national club participate either in the Badminton or the Chess competition. 2100 members participate in the Chess, 1750 participate in the Badminton and 1100 participates in both the games. How many members does the national club have?

Set A is a collection of first 10 whole numbers. Set B is a collection of first 10 natural numbers. How many number/s is/are not common to both set A and set B?

Pushpa is the mother of Kamla. Kamla is the sister of Dilip. Dilip is the father of Jimmy. How is Pushpa related to Jimmy?

The letters P, Q, R, S, and T each stands for one of 1, 2, 3, 4, and 5 but not necessarily in that order. P is odd, Q is neither 4 nor 5, R is 1, S is either 4 or 5, T is neither 2, 3 nor 4. The correct order of the digits (according to the correct order of the English alphabet) is:-

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