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%

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

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°

Explanation:

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