# CAT Preparation Test Mathematics

A survey of 200 people in a community who watched at least one of the three channels-BBC, CCN and DD-showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. What percentage of people watched all the three channels?
3.5%
0%
8.5%
Cannot not be determined
A survey of 200 people in a community who watched at least one of the three channels-BBC, CCN and DD-showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?
2%
5%
8.5%
Cannot be determined
A survey of 200 people in a community who watched at least one of the three channels-BBC, CCN and DD-showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. Out of two third of the total number of basketball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win more than three-fourths of the total number of matches, if it is true that that no match can end in a tie?
4
6
5
3
A survey of 200 people in a community who watched at least one of the three channels-BBC, CCN and DD-showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN. What is the maximum percentage of people who can watch all the three channels?
12.5%
8.5%
15%
Data insufficient
If all the units should be sent to the market, then on which days should the trucks be hired to minimize the cost?
2nd, 4th, 6th, 7th
7th
2nd, 4th, 5th, 7th
None of these
If 09/12/2001 happens to be Sunday, then 09/12/1971 would have been a:
Wednesday
Tuesday
Saturday
Thursday
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 least two of the three rides. Each ride coasts Re. 1, and total receipts of the amusement park were Rs.145. How many children did not try any of the rides?
5
10
15
20
A and b are two sets (e.g., A=mothers, B=women). The elements that could belong to both the sets (e.g., women who are mothers) is given by the set C=A.B. The elements which could belong to either A or B, or both, is indicated by the set D=A ? B. A set that does not contain any elements is known as a null set, represented by Ø (for example, if none of the women in the set B is a mother, then C=A.B is a null set, or C=Ø). Let ‘V’ signify the set of all vertebrates; ‘D’ dogs, ‘F’ fish; ‘A’ Alsatian and ‘P’, a dog named Pluto. If P.A=Ø and P ?A=D, then which of the following is true?
Pluto and Alsatians are dogs
Pluto is an Alsatian
Pluto is not an Alsatian
D is null set
Out of 100 families in the neighborhood, 45 own radios, 75 have TVs, 25 have VCRs. Only10 families have all three and each VCR owner also has a TV. If 25 families have radio only, how many have only TV?
30
35
40
45
Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then, the number of stones is:
35
15
29
31
The pendulum of a clock takes 7s to strike 4 O’clock. How much time will it take to strike 11 O’clock?
18s
20s
19.25s
23.33s
Ghosh Babu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Kolkata. In Ghosh Housing Society, 6 persons read daily The Ganashakti and 4 persons read The 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 The Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively, while the persons who read The Anand Bazar Patrika in Aghosh colony and Dighospur are 32 and 117 respectively. The number of persons in Aghosh Colony who read only one newspaper is:
29
19
39
20
Ghosh Babu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Kolkata. In Ghosh Housing Society, 6 persons read daily The Ganashakti and 4 persons read The 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 The Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively, while the persons who read The Anand Bazar Patrika in Aghosh colony and Dighospur are 32 and 117 respectively. The number of persons in Aghosh Colony who read both the newspapers is:
13
9
38
14
Ghosh Babu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur, Kolkata. In Ghosh Housing Society, 6 persons read daily The Ganashakti and 4 persons read The 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 The Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively, while the persons who read The Anand Bazar Patrika in Aghosh colony and Dighospur are 32 and 117 respectively. Number of persons in Dighospur who read only The Ganashakti is :
121
83
79
127
In a locality, there are five small cities : A, B, C, D and E. The distances of these cities from each other are as follows: AB=2 km, AC=2 km, AD>2 km, AE>3 km, BC=2 km; BD=4 km, BE=3 km, CD=2 km, CE=3 km, DE>3 km. If a ration shop is to be set up within 3 km of each city, how many ration shops will be required?
1
2
3
4
A and b are two sets (e.g., A=mothers, B=women). The elements that could belong to both the sets (e.g., women who are mothers) is given by the set C=A.B. The elements which could belong to either A or B, or both, is indicated by the set D=A ? B. A set that does not contain any elements is known as a null set, represented by Ø (for example, if none of the women in the set B is a mother, then C=A.B is a null set, or C=Ø). Let ‘V’ signify the set of all vertebrates; ‘D’ dogs, ‘F’ fish; ‘A’ Alsatian and ‘P’, a dog named Pluto. If Y=F.(D.V), is not a null set, it implies that:
All fish are vertebrates
All dogs are vertebrates
Some fish are dogs
None of the above
A and b are two sets (e.g., A=mothers, B=women). The elements that could belong to both the sets (e.g., women who are mothers) is given by the set C=A.B. The elements which could belong to either A or B, or both, is indicated by the set D=A ? B. A set that does not contain any elements is known as a null set, represented by Ø (for example, if none of the women in the set B is a mother, then C=A.B is a null set, or C=Ø). Let ‘V’ signify the set of all vertebrates; ‘D’ dogs, ‘F’ fish; ‘A’ Alsatian and ‘P’, a dog named Pluto. Given that X=M.D is such that X=D, which of the following is true?
All dogs are mammals
Some dogs are mammals
X=Ø
All mammals are dogs
A basket is asked to put in a basket ‘One’, one orange when ordered ‘Two’, one apple when ordered ‘There’ and is asked to take out from the basket one mango and an orange when ordered ‘Four’. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4 How many total fruits will be in the basket at the end of the above order sequence?
9
8
11
10
A basket is asked to put in a basket ‘One’, one orange when ordered ‘Two’, one apple when ordered ‘There’ and is asked to take out from the basket one mango and an orange when ordered ‘Four’. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4 How many total oranges were in the basket at the end of the above sequence?
1
4
3
2
Six persons are playing a card game. Suresh is facing Raghubir who is to the left of Ajay and to the right of Pramod. Ajay is the left of Dhiraj. Yogendra is to left of Pramod. If Dhiraj exchanges his seat with Yogendera and Pramod exchanges with Raghubir, who will be sitting to the left of Dhiraj?
Yogendera
Raghubir
Suresh
Ajay
10 straight lines, no two which are parallel and no three of which pass through any common point, are drawn on a plane. The total no of regions (including finite and infinite regions) into which plane would be divided by the lines is:
56
255
1024
Not unique
On a straight road XY, 100 meters long, five heavy stones are placed two meters apart beginning at the end X. A worker, starting at X, has to transport all the stones to Y, by carrying only one stone at a time. The minimum distance he has to travel(in meters) is:
472
422
744
844
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60kg of luggage between them, and are charged Rs 1200 and Rs 2400, respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400. What is the weight of Praja’s luggage?
20 kg
25 kg
30 kg
35 kg
40 kg
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60kg of luggage between them, and are charged Rs 1200 and Rs 2400, respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400. What is the free luggage allowance?
10 kg
15 kg
20 kg
25 kg
30 kg
A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible?
3
4
5
6
7
A survey was conducted to 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below: Only September: 18; September but not August: 23; September and July: 8; September : 28; July: 48; July and August:10; None of the three months: 24 What is the number of surveyed people who have read exactly two consecutive issues(out of the three)
7
9
12
14
17
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
144
180
192
360
716
A salesman enters the quantity sold and the price into the computer. Both the numbers are two digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs.1,148, but the inventory reduced by 54. What is the actual price per piece?
Rs.82
Rs.41
Rs.6
Rs,28
A salesman enters the quantity sold and the price into the computer. Both the numbers are two digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs.1,148, but the inventory reduced by 54. What is the actual quantity sold?
28
14
82
41
In a locality, two third of people have cable TV, one-fifth have VCR, and one-fourth have both. What is the fraction of people having either cable TV or VCR?
19/30
2/3
17/30
23/30
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 least two of the three rides. Each ride coasts Re. 1, and total receipts of the amusement park were Rs.145. How many children took exactly one ride?
5
10
15
20
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This test focuses on the CAT preparation. There are total 50 questions and the approximately the required time should be 1 hour.

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can anyone provide me a solution of qno 17......

4299 days 20 hours 38 minutes ago

Kalyan Sarkar
Psychological interventions in Mathematics Study
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