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**Quant for IBPS PO/ Clerk/ RRB/ NIACL 2018: 22 Sep**

Directions (Q. 1-5): Study the following information carefully and answer the given questions.

From a group of x sportsmen 50% participated in Olympic games, 53% participated in Asiad and 42% participated in Commonwealth Games (CWG). Ten percent participated in Olympics and Asiad but not in CWG, 14% participated in Olympics CWG but not in Asiad, and 5% participated in Asiad and CWG but not in Olympic games. Based on the information given, answer the following questions.

1. If x is equal to 300, how many sportsmen participated in all three events?

1) 20 2) 24 3) 30 4) 36 5) 40

2. If the number of persons who participated in only Olympic games is 81, what is the total number of sportsmen?

1) 360 2) 420 3) 450 4) 480 5) 510

3. If the number of sportsmen who participated in all three events is 48, what is the number of sportsmen, who participated in Asiad?

1) 272 2) 296 3) 310 4) 318 5) 330

4. If the number of sportsmen who participated in exactly two events is 58, what is the number of persons who participated in all three events?

1) 16 2) 20 3) 24 4) 12 5) 28

5. If x is equal to 300, what is the ratio of the number of sportsmen who participated only in Olympic games to the number of persons who participated only in CWG?

1) 3 : 2 2) 4 : 3 3) 5 : 4 4) 6 : 5 5) 7 : 6

Directions (6-10): Each of the following questions consist of 3 statements A, B and C. You have to determine which of the following statement/statements are necessary to answer the questions.

6. What is the area of the right-angled triangle?

A. The length of the hypotenuse is 5 cm.

B. The perimeter of the triangle is four times that of its base.

C. One of the angle of the triangle is 600.

1) Both (B) and (C)

2) Either (B) or (C) alone

3) Only (B)

4) All statements are required

5) None of these

7. What is the cost of the milk in the completely filled up cylindrical tank?

A. Area of the base of the tank is 2464 cm2

B. Area of the square with side equal to one-third of the tank’s height is 841 cm².

C. Cost of Milk per litre is Rs. 45.

1) Both (B) and (C)

2) Both (A) and (C)

3) Only (C) and either (A) or (B)

4) All statements are required

5) None of these

8. What is the labelled price of the music system?

A. Rahul purchased the music system for Rs. 2450 and spend Rs. 250 on its transportation.

B. Rahul earned a profit of 20% by selling the music system offering a discount of 5 % on the labelled price.

C. Selling price of the article after offering a discount of 5% on the labelled price is Rs. 3240.

1) Both (B) and (C)

2) Any two of the three

3) Only (C) and either (A) or (B)

4) All statements are required

5) None of these

9. 10 men, 9 women and 5 children can do a piece of work in 14 days. In how many days can 12 men, 15 women and 10 children do the same work?

A. 20 men and 30 women can do the same work in 5 days.

B. Work done by 2 men is equal to work done by 3 women.

C. 6 children can do two-thirds of the same work in 28 days.

1) Any one of them

2) Only (C)

3) (C) and either (A) or (B)

4) Both (A) and (C)

5) Only either (A) or (B)

10. What will be the cost of painting the four walls of a room if length, breadth and height of the wall are 87 metres, 5 metres and 4 metres respectively? The room has one door and one window.

(A) The cost of painting is Rs. 22.00 per square metres.

(B) The area of the window is 2.56 square metres, which is half the area of the door.

(C) The area of the walls is 368 square metres.

1) Only (C)

2) Only (A) and (B)

3) Only (A) and (C)

4) Only (A)

5) All together are necessary

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