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Q:

# The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.

 A) B=900;H=300 B) B=300;H=900 C) B=600;H=700 D) B=500;H=900

Answer:   A) B=900;H=300

Explanation:

Area of the field = Total cost/rate = (333.18/25.6) = 13.5 hectares
$13.5*10000m2=135000m2$
Let altitude = x metres  and  base = 3x metres.
Then, $12*3x*x=135000⇒x2=90000⇒x=300$

Base = 900 m and Altitude = 300 m.

Q:

What is the area of this trapezoidal garden? (All measurements are in cm)

 A) 60 sq.cm B) 180 sq.cm C) 210 sq.cm D) 240 sq.cm

Answer & Explanation Answer: D) 240 sq.cm

Explanation:
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1 1481
Q:

∆ABC is right angled at B. If cosA = 8/17, then what is the value of cotC ?

 A)  15/8 B) 15/17 C)  8/17 D) 17/15

Answer & Explanation Answer: A)  15/8

Explanation:
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1 2333
Q:

The curved surface area and the diameter of a right circular cylinder are 660 sq.cm and 21 cm respectively. Find its height (in cm).

 A) 9 B)  10 C) 12 D) 8

Answer & Explanation Answer: B)  10

Explanation:
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0 173
Q:

If the measure of the interior angle of a regular polygon is $1800$, then how many sides does it have?

 A)  6 B) 8 C) 9 D) 5

Answer & Explanation Answer: D) 5

Explanation:
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0 252
Q:

The sum of the lengths of the edges of a cube is equal to the perimeter of a square. If the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

 A) 30 units B) 9 units C) 27 units D) 12 units

Answer & Explanation Answer: C) 27 units

Explanation:
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1 156
Q:

A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all?

 A) 400 B) 404 C) 396 D) 408

Answer & Explanation Answer: C) 396

Explanation:
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0 226
Q:

Find the curved surface area (in cm2) of a right circular cone of diameter 28 cm and slant height 12 cm.

 A)  792 B) 728 C)  528 D)  493

Answer & Explanation Answer: C)  528

Explanation:
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0 195
Q:

In ΔABC measure of angle B is $900$. If cotA = 8/15, and AB = 0.8cm, then what is the length (in cm) of side BC?

 A) 1.7 B)  2 C)  1.5 D)  2.5

Answer & Explanation Answer: C)  1.5

Explanation:
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0 238