Two persons start walking on a road that diverge at an angle of 120°. If they walk at the rate of 3 km/h and 2km/ h respectively. Find the distance between them after 4 hours.  

1.  4√19 km

2.  5 km

3.  7km

4.  8√19 km

5.  None of these

View Answer  
5
Correct Answer :

4√19 km


Explanation :
No Explanation available for this question

Water flows out at the rate of 10 m/min from a cylindrical pipe of diameter 5 mm. Find the time taken to fill a conical tank whose diameter at the surface is 40 cm and depth 24 cm.

1.  50 min

2.  102.4 min

3.  51.2 min

4.  25.6 min

5.  60 min

View Answer  
5
Correct Answer :

51.2 min


Explanation :
No Explanation available for this question

The section of a solid right circular cone by a plane containing vertex and perpendicular to base is an equilateral triangle of side 12 cm. Find the volume of the cone.

1.  72 cc

2.  144 cc

3.  72√2 π cc

4.  72√3 π cc

5.  80π cc

View Answer  
5
Correct Answer :

72√3 π cc


Explanation :
No Explanation available for this question

Iron weighs. 8 times the weight of oak. Find the diameter of an iron ball whose weight is equal to that of a ball of oak 18 cm in diameter.

1.  4.5 cm

2.  9 cm

3.  12 cm

4.  15 cm

5.  Cannot he determine

View Answer  
5
Correct Answer :

9 cm


Explanation :
No Explanation available for this question

In the figure, ABC is a right angled triangle with B = 90° BC = 21 cm and AB  = 28 cm. With AC as diameter of a semicircle and with BC as radius, a quarter circle is drawn. Find the area of the shaded portion correct to two decimal places  

1.  428.75 cm2

2.  857.50 cm2

3.  214.37 crn2

4.  37156

5.  None of these

View Answer  
5
Correct Answer :

428.75 cm2


Explanation :
No Explanation available for this question

Find the perimeter and area of the shaded portion of the adjoining diagram  

1.  90.8 m, 414 m2

2.  181.6 m, 423.7 m2

3.  90.8 m, 827.4 m2

4.  181.6 m, 827.4 m2

5.  None of these

View Answer  
5
Correct Answer :

90.8 m, 414 m2


Explanation :
No Explanation available for this question

In the adjoining figure, a circle is inscribed in the quadrilateral ABCD. Given that BC = 38 cm, AB = 27 cm and DC = 25 cm, and that AD is perpendicular to DC. Find the maximum limit of the radius and the area of the circle.  

1.  10 cm; 226 cm2

2.  14 cm; 616 cm2

3.  14 cm; 216 cm2

4.  28 cm; 616 cm2

5.  None of these

View Answer  
5
Correct Answer :

14 cm; 616 cm2


Explanation :
No Explanation available for this question

From a piece of cardboard, in the shape of a trapezium ABCD and AB II DC and .L BCD = 90°, a quarter circle (BFEC) with. C as its centre is removed. Given AB = BC = 3.5 cm and DE = 2 cm, calculate the area of the remaining piece of the cardboard. (Take = 22/7)  

1.  3.325 cm2

2.  3.125 cm2

3.  6.125 cm2

4.  12.25 cm2

5.  None of these

View Answer  
5
Correct Answer :

6.125 cm2


Explanation :
No Explanation available for this question

The inside perimeter of a practice running track with semi-circular ends and straight parallel sides is 312 in. The length of the straight portion of the track is 90 m. If the track has a uniform width of 2 m throughout, find its area  

1.  5166 m2

2.  5802.57 m2

3.  636.57 m2

4.  1273.14 m2

5.  2546.28

View Answer  
5
Correct Answer :

636.57 m2


Explanation :
No Explanation available for this question

Find the area of the triangle inscribed in a circle circum-scribed by a square made by joining the mid-points of the adjacent sides of a square of side a.  

1.  3a2/16

2.  3√3a2/16

3.  3/4 a2(π- 1/2)

4.  3√3a2/32

5.  None of these

View Answer  
5
Correct Answer :

3√3a2/32


Explanation :
No Explanation available for this question
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