Home
Class 12
MATHS
Out of 64 students, the number of studen...

Out of 64 students, the number of students taking Mathematics is 45 and number of students taking both Mathematics and Biology is 10. Then, the number of students taking only Biology is

A

18

B

19

C

20

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let M and B denote the number of students taking Mathematics and Biology.
Then, `n(M)=45,n(M nn B)=10,n(M uu B)=64`
`n(B)=n(M uu B)-n(M)+n(M nn B)=64-45+10=29`
`impliesn(B)=n(B)-n(M nn B)=29-10=19`
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Relation and Equivalence Relation|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS) Types of Mapping|10 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

  • SOLVED PAPER 2017

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

In a class of 25 students,12 have taken mathematics,8 have taken mathematics,but not biology.Find thenumber of students who have taken both mathematics and biology and the number of those who havetaken biology but not mathematics.Each student has taken either mathematics.or biology or both.

In a competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?

In a class of 35 students , 17 have taken Mathematics , 10 have taken mathematics but not economics if each student has taken either mathematics OR Economics or both , then the number of students who have taken Economics but not mathematics is

In a class of 25 students,12 have taken Mathematics,8 have taken Mathematics but not Biology.The number of students who have taken both Mathematics and Biology is (a) 4quad ( b) 8quad (c) 24 (d) 36

In Class XI of a certain school, there are 30 students in a Mathematics class and 20 students in Biolog class. Find the number of students which are in Mathematics class or in Biology class in the following cases: (i) Two classes are conducted at the same time. (ii) Two classes are condcuted at different time and 5 students study both the subject

The diagram represents the number of students studying different subjects. What is the number of students who study History and Biology?

An investigator interviewed 100 students to determine the performance of three drinks: milk , coffee and tea the in vestigotor reported that 10 students take all three drinks milk . Coffe and tea , 20 students take take coffe , 25 students take milk only , 5 students take coffee only and 8 students take tea only . then the number of students who did not take any of these drinks is

In a class of 100 students,55 students have passed in Mathematics and 67 students have passed in Physics.Then the number of students who have passed in Physics only is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SETS, RELATIONS AND FUNCTIONS-Exercise 2 (MISCELLANEOUS PROBLEMS)
  1. Out of 64 students, the number of students taking Mathematics is 45 an...

    Text Solution

    |

  2. Let X and Y be the sets of all positive divisions of400 and 1000 respe...

    Text Solution

    |

  3. If A={x,y} then power set of A is

    Text Solution

    |

  4. If A={x:x" is a multiple of 3"} and B={x:x" is a multiple of 5"}. Th...

    Text Solution

    |

  5. If n(A)=4,n(B)=3" and "n(AxxBxxC)=24, then n(C) is equal to

    Text Solution

    |

  6. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

    Text Solution

    |

  7. {n(n+1)(2n+1):n in Z} is a subset of

    Text Solution

    |

  8. Consider the following relations: R = {(x, y) | x, y are real numbers ...

    Text Solution

    |

  9. If A={x,y,z}" and "B={a,b,c,d}. Then, which one of the following is no...

    Text Solution

    |

  10. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

    Text Solution

    |

  11. Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}, where N is the set...

    Text Solution

    |

  12. Let R be the real line. Consider the following subsets of the plane ...

    Text Solution

    |

  13. If R is a relation defined as aRb, "if"|a-b|gt0, then the relation is

    Text Solution

    |

  14. The total number of injections (one-one and into mappings) form {a(1),...

    Text Solution

    |

  15. The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

    Text Solution

    |

  16. If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to...

    Text Solution

    |

  17. The period of f(x)=sin(sin(x)/(5)), is

    Text Solution

    |

  18. Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

    Text Solution

    |

  19. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

    Text Solution

    |

  20. The range of f(x)=cosx-sinx is

    Text Solution

    |

  21. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |