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

The value of  75P2

  • 1]

    5450

  • 2]

    5555

  • 3]

    5550

  • 4]

    5656

Solution
2
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
3
Discuss

There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?

  • 1]

    120

  • 2]

    130

  • 3]

    100

  • 4]

    110

Solution
4
Discuss

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

  • 1]

    50400

  • 2]

    2430

  • 3]

    6540

  • 4]

    12800

Solution
5
Discuss

A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?

  • 1]

    12

  • 2]

    10

  • 3]

    8

  • 4]

    6

Solution
6
Discuss

How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?

  • 1]

    16

  • 2]

    24

  • 3]

    36

  • 4]

    48

Solution
7
Discuss

Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?

  • 1]

    15 * 7!

  • 2]

    20 * 8!

  • 3]

    18 * 7!

  • 4]

    (16 * 8! – 4! * 6!)

Solution
8
Discuss

12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is

  • 1]

    10

  • 2]

    11

  • 3]

    54

  • 4]

    48

Solution
9
Discuss

One red flower, three white flowers, and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same color.
II. The flowers at the two ends of the line are of different colors.
In how many different ways can the flowers be arranged?

  • 1]

    2

  • 2]

    4

  • 3]

    6

  • 4]

    10

Solution
10
Discuss

A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?

  • 1]

    3/8

  • 2]

    5/8

  • 3]

    3/4

  • 4]

    1/8

Solution

Person will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail)

H + H + T = 12

8 + 8 + (-4) = 12

Total outcome of 2 head and 1 tail = 23 = 8

i.e (T, H, TH, HT, HH, HHT, HTH, THH)

Total event with 2H and 1 T is 3

therfore probability = 3/8

# Quiz