# Quiz Discussion

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

Course Name: Quantitative Aptitude

• 1]

• 2]

• 3]

• 4]

None Of These

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# Quiz
1
Discuss

A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?

• 1]

720

• 2]

760

• 3]

780

• 4]

680

##### Solution
2
Discuss

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

• 1]

32

• 2]

48

• 3]

64

• 4]

96

##### Solution
3
Discuss

A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?

• 1]

3/16

• 2]

1/4

• 3]

7/24

• 4]

5/16

##### Solution
4
Discuss

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

• 1]

42

• 2]

294

• 3]

315

• 4]

258

##### Solution
5
Discuss

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

• 1]

32

• 2]

48

• 3]

36

• 4]

60

##### Solution
6
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
7
Discuss

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.

• 1]

2! x 19!

• 2]

18!

• 3]

18! x 2!

• 4]

19!

##### Solution
8
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

9
Discuss

If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals

• 1]

4/15

• 2]

8/45

• 3]

1/3

• 4]

2/9

##### Solution
10
Discuss

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

• 1]

1/10

• 2]

2/5

• 3]

2/7

• 4]

5/7

# Quiz