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

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

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  • 1]

    266

  • 2]

    5040

  • 3]

    11760

  • 4]

    86400

Solution
3
Discuss

A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?

  • 1]

    10

  • 2]

    18

  • 3]

    36

  • 4]

    12

Solution
4
Discuss

If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female

  • 1]

    3500

  • 2]

    1875

  • 3]

    1750

  • 4]

    3000

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 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
7
Discuss

If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?

  • 1]

    0

  • 2]

    1/2

  • 3]

    1

  • 4]

    1/1296

Solution
8
Discuss

Ten participants are participating in a competition. In how many ways can the first three prizes be won?

  • 1]

    920

  • 2]

    680

  • 3]

    720

  • 4]

    820

Solution
9
Discuss

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated

  • 1]

    5

  • 2]

    10

  • 3]

    15

  • 4]

    20

Solution
10
Discuss

A coin is tossed 5 times. What is the probability that head appears an odd number of times?

  • 1]

    1/2

  • 2]

    2/3

  • 3]

    1/3

  • 4]

    1

Solution
# Quiz