# Quiz Discussion

A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?

Course Name: Quantitative Aptitude

• 1]

40

• 2]

42

• 3]

45

• 4]

52

##### Solution
No Solution Present Yet

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# Quiz
1
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
2
Discuss

Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?

• 1]

36

• 2]

84

• 3]

180

• 4]

381

##### Solution
3
Discuss

There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.

• 1]

8! / 3!

• 2]

8! / 6!

• 3]

5! x 3!

• 4]

8! / (5! x 3!)

##### Solution
4
Discuss

How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?

• 1]

16

• 2]

24

• 3]

36

• 4]

48

##### Solution
5
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
6
Discuss

A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.

• 1]

1890

• 2]

1920

• 3]

1950

• 4]

1990

##### Solution
7
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?

• 1]

120

• 2]

90

• 3]

180

• 4]

192

##### Solution
8
Discuss

If 18C18Cr+2 ; find rC5.

• 1]

56

• 2]

63

• 3]

49

• 4]

42

##### Solution
9
Discuss

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

• 1]

50400

• 2]

2430

• 3]

6540

• 4]

12800

##### Solution
10
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

# Quiz