Quiz Discussion

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

Course Name: Quantitative Aptitude

  • 1]

    10080

  • 2]

    4989600

  • 3]

    120960

  • 4]

    None of these

Solution
No Solution Present Yet

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# Quiz
1
Discuss

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

  • 1]

    17280

  • 2]

    4320

  • 3]

    720

  • 4]

    80

Solution
2
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
3
Discuss

If 18C18Cr+2 ; find rC5.

  • 1]

    56

  • 2]

    63

  • 3]

    49

  • 4]

    42

Solution
4
Discuss

The value of  75P2

  • 1]

    5450

  • 2]

    5555

  • 3]

    5550

  • 4]

    5656

Solution
5
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

6
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
7
Discuss

The number of circles that can be drawn out of 10 points of which 7 are collinear is

  • 1]

    130

  • 2]

    85

  • 3]

    45

  • 4]

    72

Solution
8
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

Solution
9
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
10
Discuss

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
# Quiz