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- 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. aQ2. cQ3. aQ4. aQ5. dQ6. cQ7. eQ8. dQ9. eQ10. b**

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