*1. The circumferences of two circles are 132 metres and 176 metres respectively. What is the difference between the area of the larger circle and that of the smaller circle?*- 1) 1048 sq m
- 2) 1076 sq m
- 3) 1078 sq m
- 4) 1090 sq m
- 5) None of these

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**2. The ratio of the ages of Tina and Rakesh is 9 : 10. Ten years ago, the ratio of their ages was 4 : 5. What is the present age of Rakesh?**

- 1) 25 years
- 2) 20 years
- 3) 30 years
- 4) 24 years
- 5) None of these

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**3. In how many different ways can the letters of the word ‘OFFICES’ be arranged?**

- 1) 2520
- 2) 5040
- 3) 1850
- 4) 1680
- 5) None of these

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**4. Sonu invested 10% more than Mona. Mona invested 10% less than Raghu. If the total sum of their investments is Rs 5,780, how much amount did Raghu invest?**

- 1) Rs 2,010
- 2) Rs 2,000
- 3) Rs 2,100
- 4) Rs 2,210
- 5) None of these

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**5. What would be the compound interest accrued on an amount of Rs 7,400 @ 13.5 p.c.p.a. at the end of two years? (rounded off to two digits after decimal)**

- 1) Rs 2,136.87
- 2) Rs 2,306.81
- 3) Rs 2,032.18
- 4) Rs 2,132.87
- 5) None of these

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**Directions (Q. 6-8):**

*Study the given information carefully and answer the questions that follow:*

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**A basket contains 4 red, 5 blue and 3 green marbles.**

**6. If three marbles are picked at random, what is the probability that either all are green or all are red?**

- 1) 7/44
- 2) 7/12
- 3) 5/12
- 4) 1/44
- 5) None of these

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**7. If two marbles are drawn at random, what is the probability that both are red?**

- 1) 3/7
- 2) 1/2
- 3) 2/11
- 4) 1/6
- 5) None of these

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**8. If three marbles are picked at random, what is the probability that at least one is blue?**

- 1) 7/12
- 2) 37/44
- 3) 5/12
- 4) 7/44
- 5) None of these

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**Directions (Q. 9-10)**

*: Study the given information carefully and answer the questions that follow:*

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**A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done if —**

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**9. The committee should have all 4 professors and 1 research associate or all 3 trainees and 2 professors?**

- 1) 12
- 2) 13
- 3) 24
- 4) 52
- 5) None of these

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**10. The committee should have 2 trainees and 3 research associates?**

- 1) 15
- 2) 45
- 3) 60
- 4) 9
- 5) None of these

__Answers:____-----------------__**3****2****1****2****4****4****5****2****1****3**

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