21
Q:

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

A) 20 B) 30
C) 40 D) 50

Answer:   D) 50



Explanation:

Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.

Subject: Area
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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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2 2399
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

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1 3736
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

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0 246
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

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0 349
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

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1 240
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

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0 311
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

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0 289
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

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