A man runs round a circular field of radius 50m at the speed of 12 km/hr. What i

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Question
A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?
Options
A. 220/7 min
B. 110/7 min
C. 90/7 min
D. 230/7 min

Correct Answer

220/7 min

Explanation

speed = 12 km/h = $12 � \frac{5}{18} = \frac{10}{3} m / s$

distance covered = $20 � 2 � \frac{22}{7} � 50 = \frac{44000}{7} m$

time taken = distance /speed = $\frac{44000}{7} � \frac{3}{10} s e c = \frac{4400 � 3}{7} � \frac{1}{60} m i n = \frac{220}{7} m i n$

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Area problems

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1. A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.
Options
A. b=6; l=18; H=6
B. b=5; l=6; H=18
C. l=6; b=18; H=15
D. l=5; b=18; H=18

2. The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm.
Options
A. Only statement A is required
B. Only statement B is required
C. Both A & B are required
D. Neither (A) nor (B) is reuired

3. The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?
Options
A. 15 cm
B. 18 cm
C. 34 cm
D. 26 cm

4. The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height
Options
A. 6
B. 7
C. 8
D. 9

5. Area of a square and a rectangle are equal. If side of the square is 40 cm and length of the rectangle is 64 cm, what is the perimeter of the rectangle ?
Options
A. 187 cm
B. 178 cm
C. 149 cm
D. 194 cm

6. A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is
Options
A. rs.58
B. rs.158
C. rs.258
D. rs.358

7. The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
Options
A. 53800
B. 43800
C. 83800
D. 73800

8. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.
Options
A. Rs.15500
B. Rs.16500
C. Rs.17500
D. Rs.18500

9. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Options
A. 2520
B. 2420
C. 2320
D. 2620

10. The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle
Options
A. 44
B. 22
C. 33
D. 84

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