400
Q:

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125% B) 150%
C) 175% D) 110%

Answer:   A) 125%



Explanation:

Let the edge = a cm   

So increase by 50 % = a + a/2 = 3a/2  

Total surface Area of original cube = 6a2  

TSA of new cube = 63a22 =69a24=  13.5a2   

Increase in area = 13.5a2-6a2 =7.5a2  

 7.5a2 Increase % =7.5a26a2×100 = 125%

Q:

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A) 50 B) 60
C) 80 D) 100
 
Answer & Explanation Answer: C) 80

Explanation:
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0 13
Q:

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?

A) 30 B) 45
C) 50 D) 60
 
Answer & Explanation Answer: C) 50

Explanation:
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0 2
Q:

A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what
percent of material is wasted?

A) 48.5 B) 37.5
C) 57.8 D) 64
 
Answer & Explanation Answer: C) 57.8

Explanation:
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0 1
Q:

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

A) 18√3 B) 27√3
C) 32√3 D) 36√3
 
Answer & Explanation Answer: B) 27√3

Explanation:
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0 10
Q:

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?

A) 52 B) 77
C) 128 D) 142
 
Answer & Explanation Answer: C) 128

Explanation:
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0 7
Q:

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

A) 126 B) 252
C) 504 D) 1024
 
Answer & Explanation Answer: B) 252

Explanation:
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0 10
Q:

If PA and PB are tangents to the circle with centre O such that APB=50°, then the OAB=

A) 25° B) 30°
C) 40° D) 50°
 
Answer & Explanation Answer: A) 25°

Explanation:
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0 8
Q:

If an interior of a regular polygon is 170o, then the number of sides of the polygon is

A) 30 B) 20
C) 18 D) 27
 
Answer & Explanation Answer: A) 30

Explanation:
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0 4