# Modern Math Previous Year Questions (CAT) - Set 0005

• Previous years`s CAT questions: Modern Math

Post your solutions as reply to respective questions below.

• Question 1

What is the total number of ways to reach A to B in the network given?

(a) 12

(b) 16

(c) 20

(d) 22    (CAT 1991)

• Answer: Option B

• Question 2

There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?

(a) 20

(b) 25

(c) 50

(d) 70Â Â  (CAT 1991)

• Answer: Option b

• Question 3

A calculator has two memory buttons, A and B. Value 1 is initially stored in both memory locations. The following sequence of steps is carried out five times:
add 1 to B
multiply A to B
store the result in A
What is the value stored in memory location A after this procedure?

(a) 120
(b) 450
(c) 720
(d) 250
Â Â Â  (CAT 1991)

• Answer: Option C

• Question 4

In a six-node network, two nodes are connected to all the other nodes. Of the remaining four, each is connected to four nodes. What is the total number of links in the network?

(a) 13

(b) 15

(c) 7

(d) 26     (CAT 1991)

• Answer: Option a

• Question 5

There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a white ball or a black ball in such a manner that at least one box contains a black ball and all the boxes containing black balls are consecutively numbered. The total number of ways in which this can be done equals.

(a) 15

(b) 21

(c) 63

(d) 64     (CAT 1990)

• Answer: Option B

• Question 6

116 people participated in a singles tennis tournament of knock out format. The players are paired up in the first round, the winners of the first round are paired up in second round, and so on till the final is played between two players. If after any round, there is odd number of players, one player is given a bye, i.e. he skips that round and plays the next round with the winners. Find the total number of matches played in the tournament.

(a) 115

(b) 53

(c) 232

(d) 116Â Â Â  (CAT 1990)

• Answer: Option A

• Question 7

Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur , Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; in his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighospur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighospur are 32 and 117 respectively.

Number of persons in Dighospur who read only Ganashakti is

(a) 121

(b) 83

(c) 79

(d) 127

Number of persons in Aghosh Colony who read both of these newspapers is

(a) 13

(b) 20

(c) 19

(d) 14

Number of persons in Aghosh Colony who read only one paper

(a) 29

(b) 19

(c) 39

(d) 20     (CAT 1994)

• Answer: Option B Option A Option C

• Question 8

An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …. , 9. But the slip on which the code is hand–written allows confusion between top and bottom, because these are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?

(a) 25

(b) 75

(c) 80

(d) None of these  (CAT 1993)

• Answer: Option C

• Question 9

Eighty five children went to an amusement park where they could ride on the merry – go round, roller coaster, and Ferris wheel. It was known that 20 of them took all three rides, and 55 of them took at least two of the three rides. Each ride cost Re. 1, and the total receipt of the amusement park was Rs. 145.

How many children did not try any of the rides?

(a) 5

(b) 10

(c) 15

(d) 20

How many children took exactly one ride?

(a) 5

(b) 10

(c) 15

(d) 20   (CAT 1993)

• Answer: Option C Option C

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