675
Q:

If each side of a square is increased by 25%, find the percentage change in its area?

A) 65.25 B) 56.25
C) 65 D) 56

Answer:   B) 56.25



Explanation:

let each side of the square be a , then area = a2 

As given that The side is increased by 25%, then 

New side = 125a/100 = 5a/4 

 

New area = 5a42  

 

Increased area= 25a216-a2 

 

Increase %=9a2/16a2*100  % = 56.25%

Q:

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

A) 118 B) 110
C) 138 D) 128
 
Answer & Explanation Answer: C) 138

Explanation:
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0 0
Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

A) 84 B) 16
C) 25 D) 75
 
Answer & Explanation Answer: A) 84

Explanation:
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2 66
Q:

What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?

A) 120 B) 240
C) 360 D) 480
 
Answer & Explanation Answer: B) 240

Explanation:
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2 48
Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20%
C) 25% D) 27%
 
Answer & Explanation Answer: C) 25%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%
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8 160
Q:

The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

 

A) √245 cm B) √255 cm
C) √265 cm D) √275 cm
 
Answer & Explanation Answer: C) √265 cm

Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
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2 161
Q:

The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k?

A) 1 + 2/√3 B) 1 - 2/√3
C) 2 + 2/√3 D) 2
 
Answer & Explanation Answer: A) 1 + 2/√3

Explanation:
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2 132
Q:

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?

 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: C) 4

Explanation:
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0 124
Q:

If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

A) 4√5 B) 6
C) 8 D) 12
 
Answer & Explanation Answer: C) 8

Explanation:
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10 329