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Quantitative Aptitude Quiz - Set 18

image 2017-10-17 17:51:31
Quantitative Aptitude Quiz - Set 18

Directions (1-2): Study the given information carefully and answer the questions that follow:
           A committee of five members is to be formed out of 3 trainees, 4 professor and 6 research associates. In how many different ways can this be done if:
Q1. The committee should have all 4 professors and 1 research associate or all 3 trainees and 2 professors?
(a) 12
(b) 13
(c) 24
(d) 52
(e) None of these

Q2. The committee should have 2 trainees and 3 research associates?
(a) 15
(b) 45
(c) 60
(d) 9
(e) None of these

Q3. In how many different ways can the letters of the word DESIGN be arranged so that the vowels are at the two ends?
(a) 48
(b) 72
(c) 36
(d) 24
(e) None of these

Q4. On a shelf there are 4 books on Economics, 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?
(a) 967680
(b) 120960
(c) 5040
(d) 40320
(e) None of these

Directions (5-7): In the following number series only one number is wrong. Find out the wrong number.
Q5. 7,    12,    40,     222,   1742,    17390,    208608
(a) 222
(b) 12
(c) 40
(d) 1742
(e) 208608

Q6. 6,     91,    584,    2935,     11756,      35277,     70558
(a) 6
(b) 70558
(c) 584
(d) 2935
(e) 35277

Q7. 9050,      5675,     3478,    2147,      1418,     1077,      950
(a) 950
(b) 1418
(c) 5675
(d) 2147
(e) 1077

Directions (8-10): Study the following information carefully and answer the following questions:
A basket contains 4 red, 5 blue, and 3 green marbles.
Q8. If three marbles are picked at random, what is the probability that either all are green or all are red?
(a) 7/44
(b) 7/12
(c) 5/12
(d) 1/44
(e) None of these

Q9. If two marbles are picked at random, what is the probability that both are red?
(a) 3/7
(b) 1/2
(c) 2/11
(d) 1/6
(e) None of these

Q10. If three marbles are picked at random, what is the probability that at least on is blue?
(a) 7/12
(b) 37/44
(c) 5/12
(d) 7/44
(e) None of these

Solutions:

Q1. a


Q2. c


Q3. a


Q4. a


Q5. d


Q6. c


Q7. e


Q8. d


Q9. e


Q10. b