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Mensuration

Important Instructions
31.

If sector of circle of radius 16 cm has an area of 140 cm⊃2; then angle subtended at center of circle is

Answer: A

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32.

The volume of a brick is 3000 cm⊃3; and its dimensions are in the ratio 3 : 2 : 4. If its entire surface is painted at 50 paisa per cm⊃2;. The cost will be (in Rs.) 

Answer: D

Let the length of the brick be 3X, breadth of the brick be 2X and height of the brick be 4X.
Given: Volume of a brick is 3000 cm⊃3;
WKT, Volume of brick = l x b x h
Volume of brick = 3X*2X*4X
3000 = 24X⊃3;
X = 5
Length of the brick = 3X = 3(5) = 15 cm
Breadth of the brick = 2X = 2(5) = 10 cm
Height of the brick = 4X = 4(5) = 20 cm

WKT, Total surface area of brick = 2(lb + bh + hl)
Total surface area of brick = 2[(15 x 10) + (10 x 20) + (20 x 15)]
= 2[150 + 200 + 300]
= 1300⊃2;
The cost = 1300 x (50/100) = Rs. 650.

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33.

Angles in opposite segments are classified as

Answer: B

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34.

System of angular measurement is known as

Answer: C

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35.

A rectangular water tank is 80 m x 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is

Answer: D

A rectangular water tank is 80 m x 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is

Volume of water filled by pipe in 30 minutes

-----> (40 *1000000/2) cu.cm
-----> = 2000000 cu.cm

Therefore, Height of water level

-----> (2000000/8000 *4000)
-----> = (5/8) cm.

Hence the answer is: (5/8) cm

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36.

Ramesh and Suresh’s mud forts have heights 8cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?

Answer: C

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37.

The dimensions of an open box are 50 cm, 40 cm, and 23 cm. Its thickness is 3 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

Answer: B

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38.

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl?

Answer: C

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39.

Ramesh runs along a circular park every day at a speed of 60m/min. One day he runs along the diameter with same speed and crosses the park. He needed 60 minutes less to cross the park. What is the radius of the park?

Answer: A

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40.

Smallest part of circle divided by chord is called

Answer: A

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