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

# Quiz