Home
Class 12
MATHS
The number of students who take both the...

The number of students who take both the subjects mathematics and chemistry is 30. This represents 10% of the enrolment in mathematics and 12% of the enrolment in chemistry. How may students take at least one of these two subjects?

A

520

B

490

C

560

D

480

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|31 Videos

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

Similar Questions

Explore conceptually related problems

The number of students who take both the subjects Mathematics and Chemistry is 70. This represent 10 % of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The number of students take at least one of these two subjects, is

A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100, Physics 70, Chemistry 40, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

In a class of 50 students, each of the students passed either in mathematics or in a science or in both 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only.

A student can solve 2 out of 4 problems of mathematics, 3 out of 5 problem of physics, and 4 out of 5 problems of chemistry. There are equal number of books of math, physics, and chemistry in his shelf. He selects one book randomly and attempts 10 problems from it. If he solves the first problem, then the probability that he will be able to solve the second problem is a. 2/3 b. 25/38 c. 13/21 d. 14/23

The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below: {:("Subject","Mathematics","Physics","Chemistry"),("Mean",42,32,40.9),("Standard deviation",12,15,20):} Which of the three subjects shows the highest variability in marks and which shows the lowest?

The mean and standard deviation of maks obtained by 50 students of a class in three subjects Mathematics , Physics and Chemistry are given below: Which of the three subjects shows the highest variability in marks and which the lowest?

In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find (i) The number of students who take part in only music. (ii) The number of students who take part in only drama. (iii) The total number of students in the class.

In a school, 80 students like Maths, 90 students like Science, 82 students like History, 21 like both Maths and Science, 19 like both Science and History 20 like both Maths and History and 8 liked all the three subjects. If each student like atleast one subject, then find (i) the number of students in the school (ii) the number of students who like only one subject.

NEW JOYTHI PUBLICATION-SETS-QUESTIONS FROM COMPETITIVE EXAMS
  1. In a city 20 percent of the population travels by car, 50 percent trav...

    Text Solution

    |

  2. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  3. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  4. Given n(U)=20, n(A)=12, n(B)=9, n(AcapB)=4, where U is the universal s...

    Text Solution

    |

  5. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  6. If N(a)={an:ninN}, then N(5)capN(7)= (Here N is the set of natural n...

    Text Solution

    |

  7. Two finite sets have m and n elements respectively. The total number o...

    Text Solution

    |

  8. The number of elements in the set {(a,b):2a^(2)+3b^(2)=35, a,binZ}, wh...

    Text Solution

    |

  9. Let A={1,2,3,4}, B={2,4,6}. Then the number of sets C such that AcapBs...

    Text Solution

    |

  10. Let X and Y be the sets of all positive divisors of 400 and 1000 respe...

    Text Solution

    |

  11. In a certain town 25% families own a cell phone, 15% families own a sc...

    Text Solution

    |

  12. Two finite sets A and B have m and n elements respectively. If the tot...

    Text Solution

    |

  13. The shaded region in the figure represents

    Text Solution

    |

  14. If n(A)=8 and n(AcapB)=2, then n((AcapB)'capA) is equal to

    Text Solution

    |

  15. If the set A contains 5 elements, then the number of elements in the p...

    Text Solution

    |

  16. If n(A)=1000, n(B)=500 and if n(AcapB)ge1 and n(AcupB)=p, then

    Text Solution

    |

  17. If n(A)=43, n(B)=51 and n(AcupB)=75, then n((A-B)cup(B-A))=

    Text Solution

    |

  18. If A and B are non-empty sets such that AsupB, then

    Text Solution

    |

  19. Let X={1,2,3,.......,10} and A={1,2,3,4,5}. Then the number of subsets...

    Text Solution

    |

  20. The number of students who take both the subjects mathematics and chem...

    Text Solution

    |