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Quiz Discussion

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.

Course Name: Quantitative Aptitude

  • 1]

    2! x 19!

  • 2]

    18!

  • 3]

    18! x 2!

  • 4]

    19!

Solution
No Solution Present Yet

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1
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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)=

  • 1]

    3/13

  • 2]

    6/13

  • 3]

    7/13

  • 4]

    10/13

Solution
10
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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
2
Discuss

Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done

  • 1]

    2 x 12C6 x (6!)2

  • 2]

    2 x 6! x 6!

  • 3]

    2 x 12C6 x 6!

  • 4]

    None of these

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

Three unbiased coins are tossed. What is the probability of getting at most two heads ?

  • 1]

    3/4

  • 2]

    1/4

  • 3]

    3/8

  • 4]

    7/8

Solution
5
Discuss

How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?

  • 1]

    38,320

  • 2]

    39,320

  • 3]

    38,400

  • 4]

    40,320

Solution
6
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?

  • 1]

    120

  • 2]

    90

  • 3]

    180

  • 4]

    192

Solution
7
Discuss

A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?

  • 1]

    40

  • 2]

    42

  • 3]

    45

  • 4]

    52

Solution
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Discuss

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?

  • 1]

    5/13

  • 2]

    10/13

  • 3]

    1/13

  • 4]

    1/26

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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
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