Set Theory, Logarithms, Ratio Proportion & Variation

MBA CAT 2022
1

The set S has 5 elements. In how many ways can one select two (possibly identical) subsets of S whose union is S?

2

In a class of 'x' students, if 4 boys are replaced with 4 girls, the ratio of the boys to girls in the class becomes 1:2. On the contrary, if 6 girls are replaced with 6 boys, the ratio of boys to girls becomes equal. What is the present percentage of boys in the class?

3

In a class of 'x' students, if 4 boys are replaced with 4 girls, the ratio of the boys to girls in the class becomes 1:2. On the contrary, if 6 girls are replaced with 6 boys, the ratio of boys to girls becomes equal. What is the present percentage of boys in the class?

4

Amongst 200 housewives who watch atleast one of 4 TV channels in the afternoon, 150 watch Sony, 155 watch Zee, 160 watch Star, 165 watch Imagine

Q1. Minimum number of housewives who watch all four channels
Q2. Maximum number of housewives who watch all 4 channels

5

In an exhibition, some paintings were kept for sale. On the first day, 1 painting plus 1/7 th of the remaining paintings were sold. On the second day, 2 paintings plus 1/7 th of the remaining paintings were sold. A similar pattern continued till the kth day, when 'k' paintings were sold and no painting was left after that. If the exhibition ran for exactly k days (k > 1), then what is the minimum number of paintings sold during the exhibition?

Please explain the solution as well !!!
6
jain4444 if { u x: x belongs to n, x>25}
A={4,6,8,14,19,3}
B={c,6.9.12,15,18}
C={2,4,9,15,20,22}
find AUB
7

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In a group of 200 people, number of people having at least primary education: number of people having at least middle school education: number of people having at least high school education are in the ratio 7 : 3 : 1. Out of these, 90 play football and 60 play hockey. Also, 5 in category III (people having high school education) and one-fourth each in categories I and II (people having primary school education only and people having middle school education but not high school education, respectively) do not play any game. In each of the above categories, the number of people who play only hockey equals the number of people who play only football. Two persons each in categories I and II and one person in category III play both the games. Two persons who play both the games are uneducated (category IV). Five persons in category III play only hockey.


Assume middle school education can be had only after completing primary school and high school education can be had only after completing middle school. Also all people in the group fall under one of the four categories described above.

1) How many people have middle school education?
1. 33
2. 32
3. 48
4. 64
5. 66

How many high school educated people do not play football?
1. 6
2. 8
3. 10
4. 12
5. 20

3) How many people having middle school, but not high school, education play only football?
1. 2
2. 7
3. 11
4. 15
5. 20

4) How many people who completed primary school could not finish middle school?
1. 48
2. 64
3. 80
4. 96
5. 100

5) How many uneducated people play neither hockey nor football?
1. 15
2. 20
3. 23
4. 28
5. 60


8

Out of 100 schools in a town, the number of schools having a playground was 30, and all these schools had neither a library nor a laboratory. The number of schools having a laboratory only was twice the number of those having a library only. The number of schools having a laboratory as well as a library was one-fourth the number of those having a laboratory only. The number of schools having either a laboratory or a library or both was 35.
How many schools had none of the three, viz. laboratory, library or playground?

  • 40
  • 20
  • 5
  • 30
  • 35

0 voters

9

how to drive the formula for mode and median

10
There are two containers A and B. A contains n litres of pure milk and B contains n litres of water. One litre of pure milk is transferred from A to B. Now 1 litre of the solution from B is transferred back to A. The ratio of water to milk in the 1 litre transferred from B to A is k. Once again, 1 litre of the solution is transferred from A to B. Which of the following is equal to the ratio of water to milk in this transferred one litre , In terms of "n" and "k" ?
11
The total earning of A, B and C is 76000 and they have save 30% 25% and 20% resp. If their saving is in ratio 4:5:6. Then wat r d earning of A,B and C.

Solve it without options - diff thodi badegi :)
12
The cost of 3 bananas and 8 apples is र48 more than the cost of 4 chikoos. The cost of 5 bananas and 7 chikoos isर29 more than the cost of 2 apples, whereas the cost of 4 bananas, 3 chikoos and 1 apple is equal to र31. Find the cost of 1 apple, 1 banana and 1 chikoo.
13

a,b,c and d are positive integers satisfying log b( base a)= 8/9, log d( base c)= 6/7 and d-b=473, then c-a=


please give the approach
  • 1675
  • 1565
  • 1735
  • cannot be determined

0 voters

14

Four friends BruceLee, ChumLee, KumLee and JungLee went to a bar. BruceLee, ChumLee and KumLee ordered same quantity of cocktail which is a mixture of four alcohol i.e rum,whiskey,vodka and gin in different proportion.

BruceLee's drink 1:2:3:1(Rum:whiskey:vodka:gin)
ChumLee's drink 5:2:3:1(Rum:whiskey:vodka:gin)
KumLee's drink 3:1:4:5(Rum:whiskey:vodka:gin)
Now Junglee came and showed his Junglee attitude and mixed all the three cocktails,before they could drink it.
What is the final proportion in the mixture(Rum:whiskey:vodka:gin)?

15

in a class of 74 studends, the number of studends who play cricket is twice the number of students who play hockey, which in turn is twice the number of students who play both the games. What is the maximum number of studends who play only cricket ??

  • 42
  • 52
  • 40
  • 48

0 voters

16
i got to a shop "eat well and pay well" to eat three types of items
samosa , pasta , maggi worth 11rs , 7 rs , 8rs respectively
i want to have these such that i have to buy atleast one item of each category n i can spend any amount btwn 45-50 (both inclusive). find the number of ways in which i can purchase the items?????
17
A group of children went to play game of marbles. Rishabh had 9 marbles, Ansh had 5 marbles and the youngest Tinku had none. So they decide to share their marbles equally among themselves. In return tinku offered to give them his 14 pokemon cards in the proportion to the marbles contributed by the other two children. How many cards did Ansh get from Tinku?
18
Let p n = log n(1/2).log n-1(1/3).log n-2(1/4). ..log 2(1/n) then value of p 2009 is

pls someone explain...i dont have answer
  • -1/2009
  • 1/2009
  • -1
  • 1

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19

Two containers contain equal quantities of milk and water respectively. Half the contents of the first are poured in the second and then the same is transferred back into the first container. This is done three times. What is the ratios of milk to water in the two containers at the end of the process?

20

What is session?

  • ques
  • registor
  • temporary storage
  • storage

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