Set Theory, Logarithms, Ratio Proportion & Variation

MBA CAT 2022
21
Find the ratio of two numbers (smaller number to bigger number) if their HCF and LCM is 23 and 496 and also if one of the numbers is 16.
22

EASY ONE puysss :


The work done by 4 men in 12 days is equal to the work done by 6 women in 10 days and is also equal to the work done by 8 children in 9 days. A man, a woman and a child working together take 10 days to complete a particular job. In how many days will the same job be completed by 2 women and 5 children working together?

23

A multiple choice question has 4 choices of which one or more may be correct A candidate gets marks in the question if and only if he marks all the the correct choices. The candidate marks the choices at random. what is the probability that he gets mark?

Plz also mention your approach!!
  • 1/16
  • 3/4
  • 14/15
  • 1/4
  • 1/15

0 voters

24
In a school, 100 students were offered Hindi as an optional subject and 70 French and Sanskrit each. Of these, 63 offered Hindi only, 47 French only, 12 Hindi and French only and 6 French and Sanskrit only.

The number of students who were offered all the three subjects is
1. 10
2. 9
3. 6
4. 5
5. 4
25
A survey of 200 people in a community who watched at least one of the three channels; BBC, CNN 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?
1. 12.5%
2. 15%
3. 8.5%
4. Data insufficient
5. None of these
26

Easy One
Answer the questions on the basis of the information given below.
In a gathering of some friends, it was observed that five of the friends don't like to play cards, five don't like to watch TV and five don't like to listen to songs. Among those who like to play cards, only four like to watch TV. Among those who like to watch TV, only three like to listen to songs. Among those who listen to songs, only two like to play cards. Only one of the friends likes all the three activities mentioned.

What is the number of friends who like exactly one of the three activities mentioned?

27

From a vessel containing 160ltr of milk x ltr are drained out and replaced by water. Then again x ltr of milk-water solution is drained out and replaced by water. Finally 90ltr of milk is left in the vessel. Find the value of x.

28
In a class there are 150 students. At least 38% out of 150 students play hockey, at least 40% play basketball and at least 32% play football.

1. If x is the number of students playing all three games then :
a) 0 less than x less than 100
b) 9 less than x less than 100
c) 0 less than x less than 145
d) 0 less than x less than 150


2. If 47 students do not play, then at most how many students play exactly one game :
a) 72 b) 63 c)42 d) 54
29

What least number must be subtracted from each of the numbers 13,4,15,14 so that the ratio of first two is the same as the ratio of the next two?

  • 17
  • 2
  • 1
  • 0

0 voters

30

In a class 1/4th of the students passed in maths. If 1/6th of the students ,including 1/3rd of those who passed in maths, passed in chemistry, then what percentage of the students passed in neither of the two subjects.( approcah plz)

31

In a right angled triangle ABC, c represents the hypotenuse satisfying c > 2 units. Then which of the following is a possible value for log(a + b) c + logc (a + b)?

  • 1.9
  • 3.25
  • 2.5
  • 2.1

0 voters

32
In Shishu Vidyalaya, students study at least one of 4 subjects from Hindi, English, Science or Maths. The
following additional information is known about the students in Shishu Vidyalaya
Subject(s) Number of Students
Hindi 54
English 77
Maths 91
Science 92
Further, it is also known that;
 123 students study at least one of English and Science
 The number of students who study Maths-English-Science is twice the number of students who
study Hindi-Maths.
 The number of students who study Hindi-English, Hindi alone and Hindi-Science form an
arithmetic progression of common difference equal to 3.
 The number of students who study Hindi-English-Science, All the four subjects, English alone and
Maths alone form an arithmetic progression of common difference equal to 2.
 The number of students who study Maths alone is equal to the number of students who study
Maths-English, which is equal to the number of students who study Maths-English-Hindi.
 The number of students who study Hindi-Maths is one more than the number of students who
study Maths alone.
 The number of students who study Hindi-Science-Maths is equal to the 3
rd
prime number and
the number of students who study Maths-Science is equal to the 7
th
prime number.
1. What is the total number of students in Shishu Vidyalaya?
a. 150
b. 314
c. 160
d. 170
2. How many students study at least 2 of the 4 subjects?
a. 94
b. 96
c. 112
d. 111
3. If the number of students who study exactly 3 subjects is equal to 8K+1, what is the value of K?a. 4
b. 5
c. 6
d. 7
4. If 16 students who study English, 12 students who study Science and 14 students who study
Hindi leave the school, what could be the minimum number of students left in the school who
study Maths? –
a. 55
b. 60
c. 49
d. 57

Dont have the answers.!!!
plz.. discuss kar lete hai..!!!

33
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?

Please post solution :)
34
NGC conducted a survey in a forest and found that 45% animals can fly and 57% animals can swim. They also found 10% animals can neither fly nor swim
35

A group of people were analysed on three qualities - health, wealth and wisdom. It was found that 139 people were either healthy or wise but not wealthy. 23 people were neither healthy, wealthy and wise. 208 people were wealthy.
If 199 residents have at least two of the three qualities then how many residents have exactly one quality

  • 152
  • 148
  • 154
  • 150

0 voters

36
A company has 40% Graduate and remaining of Bpharma. 50% of employee get more than 5 Lakh salary. 75% of Bpharma student get more than 5 Lakhs. Find what percentage/ration of Graduate earn less than 5 Lakh.
37

loga(b) = 2
logc(d) = 3

a - b = 63

Then find | c - d | === ???


Here "a" and "c" are base.....

and I dont know answers......


Tag me in the solution..

  • :stuck_out_tongue:
  • :smiley:

0 voters

38

The ratio of a person's age to his son's age is 5:2. If after ten years the age of the son is half of his father's age, the raio of their ages after four years will be.......?

  • 11 : 6
  • 8 : 3
  • 9 : 4
  • 5 : 6

0 voters

39
In a class of 120 students for every student taking up physics there are 4 students taking up chemistry. Further for every student taking up physics there are 3 students taking up math as well as 1 student taking up biology. Then the maximum number of students taking up all the 4 subjects will be?
40
A Techno company has 14 machines of equal efficiency in its factory. The annual
manufacturing costs are Rs. 42,000 and establishment charges are Rs. 12,000. The annual
output of the company is Rs. 70,000. The annual output and manufacturing costs are directly
proportional to the no. of machines. The share holders get 12.5% profit, which is directly
proportional to the annual output of the company. If 7.14% machines remain closed throughout
the year, then the percentage decrease in the amount of profit of the share holders would be: