Quiz Discussion

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?

Course Name: Quantitative Aptitude

  • 1]

    32

  • 2]

    48

  • 3]

    36

  • 4]

    60

Solution
No Solution Present Yet

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# Quiz
1
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
2
Discuss

It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?

  • 1]

    2880

  • 2]

    2148

  • 3]

    3280

  • 4]

    3680

Solution
3
Discuss

The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is

  • 1]

    185

  • 2]

    175

  • 3]

    115

  • 4]

    105

Solution
4
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
5
Discuss

Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?

  • 1]

    15 * 7!

  • 2]

    20 * 8!

  • 3]

    18 * 7!

  • 4]

    (16 * 8! – 4! * 6!)

Solution
6
Discuss

If 18C18Cr+2 ; find rC5.

  • 1]

    56

  • 2]

    63

  • 3]

    49

  • 4]

    42

Solution
7
Discuss

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.

  • 1]

    1/15

  • 2]

    25/57

  • 3]

    35/256

  • 4]

    None Of These

Solution
8
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
9
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

10
Discuss

There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?

  • 1]

    7! / 1! 2! 3! 

  • 2]

    7! 

  • 3]

    7! / 3

  • 4]

    7! / 3!

Solution
# Quiz