Quiz Discussion

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

Course Name: Quantitative Aptitude

  • 1]

    120

  • 2]

    130

  • 3]

    100

  • 4]

    110

Solution
No Solution Present Yet

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# Quiz
1
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

2
Discuss

From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?

  • 1]

    1360

  • 2]

    1060

  • 3]

    1160

  • 4]

    1260

Solution
3
Discuss

How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?

  • 1]

    496

  • 2]

    728

  • 3]

    486

  • 4]

    1084

Solution
4
Discuss

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

  • 1]

    10080

  • 2]

    4989600

  • 3]

    120960

  • 4]

    None of these

Solution
5
Discuss

If ,​, are probabilities of three mutually exclusive events, then

  • 1]

  • 2]

  • 3]

  • 4]

    None Of These

Solution

Answer :1/2

6
Discuss

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is

  • 1]

    3/20

  • 2]

    29/34

  • 3]

    47/100

  • 4]

    13/102

Solution
7
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
8
Discuss

How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?

  • 1]

    60

  • 2]

    54

  • 3]

    51 / 3

  • 4]

    2 x 4!

Solution
9
Discuss

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

  • 1]

    120

  • 2]

    720

  • 3]

    4320

  • 4]

    2160

Solution
10
Discuss

In how many ways can 10 people line up at a ticket window of a railway station?

  • 1]

    36,28,800

  • 2]

    34,82,800

  • 3]

    33,44,800

  • 4]

    33,28,800

Solution
# Quiz