Quiz Discussion

If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2​P(A) and P(C)=1/2​P(B), then P(A∪C)=

Course Name: Quantitative Aptitude

  • 1]

    3/13

  • 2]

    6/13

  • 3]

    7/13

  • 4]

    10/13

Solution
No Solution Present Yet

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# Quiz
1
Discuss

Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?

  • 1]

    96

  • 2]

    72

  • 3]

    144

  • 4]

    120

Solution
2
Discuss

A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is

  • 1]

    7

  • 2]

    8

  • 3]

    9

  • 4]

    24

Solution
3
Discuss

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.

  • 1]

    1/15

  • 2]

    25/57

  • 3]

    35/256

  • 4]

    None Of These

Solution
4
Discuss

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

  • 1]

    32

  • 2]

    48

  • 3]

    36

  • 4]

    60

Solution
5
Discuss

What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once

  • 1]

    55566

  • 2]

    66660

  • 3]

    56456

  • 4]

    84738

Solution
6
Discuss

If 18C18Cr+2 ; find rC5.

  • 1]

    56

  • 2]

    63

  • 3]

    49

  • 4]

    42

Solution
7
Discuss

There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?

  • 1]

    12

  • 2]

    13

  • 3]

    17

  • 4]

    18

Solution
8
Discuss

There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.

  • 1]

    8! / 3!

  • 2]

    8! / 6!

  • 3]

    5! x 3!

  • 4]

    8! / (5! x 3!) 

Solution
9
Discuss

There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.

  • 1]

    2! x 19!

  • 2]

    18!

  • 3]

    18! x 2!

  • 4]

    19!

Solution
10
Discuss

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

  • 1]

    1/2

  • 2]

    3/4

  • 3]

    3/8

  • 4]

    5/16

Solution
# Quiz