This EduRev document offers 20 Multiple Choice Questions (MCQs) from the topic Caselets (Level - 1). These questions are of Level - 1 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic. A doctor wanted to know the weight of 5 boys, each weighing less than 55 kg(Consider all the weights are natural numbers). The children would not let the doctor measure their weights on the weighing machine unless they were weighed in pairs. The weights (in kg) thus obtained were: 90, 92, 93, 94, 95, 96, 97, 98, 100 and 101. The names of the 5 children were Tinu, Minu, Chinu, Tipu and Tilu. Also, their weights were in the order Tilu > Tipu > Tinu > Minu > Chinu. The total weight of Tilu and Tipu is 101 kg, that of Minu and Chinu is 90 kg, and that of Tinu and Chinu is 92 kg. Q. How many of them weighed less than 48 kg?
A doctor wanted to know the weight of 5 boys, each weighing less than 55 kg(Consider all the weights are natural numbers). The children would not let the doctor measure their weights on the weighing machine unless they were weighed in pairs. The weights (in kg) thus obtained were: 90, 92, 93, 94, 95, 96, 97, 98, 100 and 101. The names of the 5 children were Tinu, Minu, Chinu, Tipu and Tilu. Also, their weights were in the order Tilu > Tipu > Tinu > Minu > Chinu. The total weight of Tilu and Tipu is 101 kg, that of Minu and Chinu is 90 kg, and that of Tinu and Chinu is 92 kg. Q. What was the weight of Tinu?
Q. Which of the following represents the lowest value? 1. Number of accountants who are doing a regular course
2. Number of boys who are accountants
3. Number of boys who are engineers and are doing a regular course
4. Number of accountants who are doing a correspondence course
Arun, Varun, Karun, Bhim and Shina had some red balls with them. When the teacher asked them about the number of red balls, one boy gave the following information. Q. What was the total sum of red balls with Bhim and Varun?
1. The total number of red balls with all five boys is divisible by 2.
2. The number of balls with each boy had exactly 2 factors.
3. None of the boys had more than 28 balls.
4. No two boys had the same number of balls.
5. The total number of balls with any two of the given 5 boys is non-prime.
6. Varun had more red balls than twice the number of balls with Karun.
7. Karun had less red balls than balls with Bhim, while Varun had more red balls than balls with Arun.
8. The number of red balls with Bhim was less than one third of the number of red balls with Shina.
Q. For how many pairs was the sum of red balls a perfect square?
Arun, Varun, Karun, Bhim and Shina had some red balls with them. When the teacher asked them about the number of red balls, one boy gave the following information.
1. The total number of red balls with all five boys is divisible by 2.
2. The number of balls with each boy had exactly 2 factors.
3. None of the boys had more than 28 balls.
4. No two boys had the same number of balls.
5. The total number of balls with any two of the given 5 boys is non-prime.
6. Varun had more red balls than twice the number of balls with Karun.
7. Karun had less red balls than balls with Bhim, while Varun had more red balls than balls with Arun.
8. The number of red balls with Bhim was less than one third of the number of red balls with Shina.
Q. How many employees voted for both Raja and Uday, but not for Deepak?
Out of Raja, Deepak and Uday, one person was to be selected for the managing director's position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.
1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.
2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.
3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.
4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.
5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.
Out of Raja, Deepak and Uday, one person was to be selected for the managing director's position. It was decided that all the employees of the company, excluding the candidates, will vote for them. Each employee could vote for a minimum of one and maximum of all three candidates. After the voting, the following was observed.
1. The difference between the number of employees who voted only for Raja and number of employees who voted for Deepak, but not for Uday, was zero.
2. 28 employees voted for only 2 contestants, while 19 employees voted for all 3 contestants.
3. If we subtract the number of employees who voted for Raja, but not for Deepak from the number of employees who voted for at least 2 contestants, we get 20 as the answer.
4. The number of employees who voted for both Deepak and Uday was 33, while the number of employees who voted for Uday, but not for Raja was 12 more than the number of employees who voted for all three contestants.
5. The number of employees who voted for Deepak was the same as the number of employees who voted of at least two contestants.
1. In 1984-85, the value of exports of manufactured articles exceeds the value of exports of raw materials by 100%. Percentage of Total Value of Exports in India Q. The change in value of exports of manufactured articles from 1984-85 to 1985-86 is
2. In 1985-86, the ratio of % of exports of raw material to that of exports of manufactured articles is 3 : 4.
3. Exports of food in 1985-86 exceeds the 1984-85 figure by Rs. 1006 crore.
1. In 1984-85, the value of exports of manufactured articles exceeds the value of exports of raw materials by 100%. Percentage of Total Value of Exports in India Q. During 1984-85, how much more raw material was exported as compared to food in terms of value?
2. In 1985-86, the ratio of % of exports of raw material to that of exports of manufactured articles is 3 : 4.
3. Exports of food in 1985-86 exceeds the 1984-85 figure by Rs. 1006 crore.
The premises of a school are to be renovated. The renovation is in terms of flooring. Certain areas are to be floored either with marble or wood. All classrooms/halls and pantry are rectangular. The area to be renovated comprises of a big hall measuring 25 m × 25 m, principal's room measuring 13 m × 17 m, a pantry measuring 14 m × 13 m, a recordkeeping cum server room measuring 21 m × 13 m and locker area measuring 29 m × 21 m. The total area of the school is 2000 square metres. The cost of wooden flooring is Rs. 100 per square metre and the cost of marble flooring is Rs. 150 per square metre. The locker area, recordkeeping cum server room and pantry are to be floored with marble. The principal's room and the hall are to be floored with wood. No other area is to be renovated in terms of flooring. Q. As per given information, how much money will be spent on marble?
The premises of a school are to be renovated. The renovation is in terms of flooring. Certain areas are to be floored either with marble or wood. All classrooms/halls and pantry are rectangular. The area to be renovated comprises of a big hall measuring 25 m × 25 m, principal's room measuring 13 m × 17 m, a pantry measuring 14 m × 13 m, a recordkeeping cum server room measuring 21 m × 13 m and locker area measuring 29 m × 21 m. The total area of the school is 2000 square metres. The cost of wooden flooring is Rs. 100 per square metre and the cost of marble flooring is Rs. 150 per square metre. The locker area, recordkeeping cum server room and pantry are to be floored with marble. The principal's room and the hall are to be floored with wood. No other area is to be renovated in terms of flooring. Q. If the remaining area of the school is to be carpeted at a rate of Rs. 110/- per square metre, then how much will be the increment in the total cost of renovation of school premises?
A contractor built a residential colony where he constructed total 250 flats, which were of 3 types - 1 BHK, 2 BHK and 3 BHK. He offered these flats only to freedom fighters (FF), international level sportspersons (SP) and people below poverty line (PL). In 1 BHK type flats, the ratio of persons who bought flats was 4 : 7 : 19 for FF : SP : PL. The total number of 1 BHK flats was 20 more than that of 3 BHK flats. In 2 BHK type flats, the number of SP persons was 25% more than FF persons. The number of PL persons was 125% more than FF persons. In 3 BHK type flats, the probability of selecting 1 PL person was 12/35. The number of FF and that of PL persons were the same. The total number of 3 BHK flats was more than 50 and less than 90. Q. If we have to select 3 persons from the whole lot, what is the approximate probability that we get 1 from each group, i.e. 1 FF, 1 SP and 1 PL?
3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers. In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11. In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17. In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48. Q. The difference between the number of boys in group C and that in group B is what percent more/less than the sum of the numbers of teachers in groups A and B?
3 groups A, B and C from a school went for a picnic. In each group, there were boys, girls and teachers. In group A, number of boys is 3 more than that of girls. If we have to select one member from this group, then the probability of him being a teacher is 4/11. In group B, number of girls is 50% more than that of boys. If 2 persons are selected from group B at random, then probability of both being teachers is 1/136. Total number of persons in group B is 17. In group C, the ratio of teachers to boys is 1 : 3 and that of teachers to girls is 1 : 4. Total number of persons in this group is 48. Q. x boys from group B go to group A and 50% of teachers from group A go to group B. If one person is selected at random from group B and probability of him being a teacher is 1/4, then what is the value of x?
Q. How many students failed in only one subject?
There were 80 students who failed in Mathematics.
160 students passed in Physics.
30 students failed in Chemistry.
30 students failed in Mathematics and Physics.
15 students failed in Mathematics and Chemistry.
10 students failed in Physics and Chemistry.
100 students passed in all three subjects.
In a school of 750 students, each student likes atleast one of the three colors- Red, Green and Blue. 109 students like only red color, 150 students like only green color and 125 students like only blue color. The number of students who like red and green colors only is 70% of the students who like only green color. The number of students who like red and blue colors only is 60% of the students who like only blue color. 100 students like all the colors. Q. What is the difference between the number of students who like only one color and the number of students who like only two colors?
In a school consisting of 700 students, a sports event is organized. There are a total of 4 sports i.e Baseball, Cricket, Hockey and Basketball. Each student participated in one sport. i) Ratio between the number of boys and girls who participated in Cricket is 11 ∶ 13 and that of Hockey is 15 ∶ 13. (ii) The number of girls who participated in baseball is 20 less than the number of boys and the number of boys who participated in cricket is 35 more than the number of boys who participated in Hockey. (iii) The ratio between the number of boys and girls who participated in Basketball is 5 ∶ 3 (iv) The ratio of the number of girls and boys who participated in baseball is 7 ∶ 9 and the difference between the number of boys and girls who participated in cricket is 20. Q. The number of boys who participated in baseball and cricket together is what percentage of number of girls who participated in the same sports?
Solution:A invested Rs. 50000 in a company in the beginning of the year. After few months, B invested Rs. 40000 in the same company. At the end of the year, A received Rs. 12000 as his share of profit for the year. In the next year, A and B again invested the same amount as they did in the previous year for the whole year. After 3 months, C invested Rs. 60000 and received Rs. 4500 as his share of profit at the end of second year.
Q. In the third year, if A, B and C invested the same amount as before in the second of the year, what is C’s share in a profit of Rs. 60000?
A class has a total of 500 students. All the students are involved in exactly one of three different activities, i.e. Dancing, Singing, and Photography. The number of students in dancing is 20% of total students in the class and the ratio of boys to girls in dancing is 3: 7. The number of students in photography is 60% of the number of students in singing. The number of girls in Singing is 50 less than the number of boys in Singing. The number of girls in photography is 87.5% of the number of boys in Photography. Q. Find the number of students involved in Photography.
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