A, B, C, D and E sit on five chairs all of which are facing ...

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?

Course Name: Quantitative Aptitude

1]
10
2]
18
3]
36
4]
12

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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
10 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
2 Discuss	If C(n, 7) = C(n, 5), find n 1] 12 2] 15 3] 18 4] -1 Solution
3 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
4 Discuss	How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? 1] 40 2] 400 3] 5040 4] 2520 Solution
5 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
6 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
7 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
8 Discuss	How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once? 1] 38,320 2] 39,320 3] 38,400 4] 40,320 Solution
9 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
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