Inside a square PQRS, ΔQTR is an equilateral triangle. If RT and QS intersect at O, then ∠QOR is equal to-
(A) 50°
(B) 75°
(C) 60°
(D) 90°
If each side of a cube is increased by 10%. Then find the percent change in the volume of the cube.
(A) 21%
(B) 30%
(C) 33.1%
(D) 35%
The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?
(A) 6 cm
(B) 12 cm
(C) 8 cm
(D) 7 cm
Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-
(A) 4 : 9
(B) 9 : 4
(C) 7 : 9
(D) 5 : 7
A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
(A) 90
(B) 45
(C) 60
(D) 30
The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?
(A) 16 m
(B) 20√ 3 m
(C) 20 m
(D) 30 m
A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm, then find the number of bottles that can be filled?
(A) 324
(B) 228
(C) 81
(D) None of these
A copper wire is bent in the shape of a square of area 81 cm2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is (take π=22/7 )
(A) 126
(B) 14
(C) 10
(D) 7
What is the value of 300°?
(A) -1/2
(B)
(C)
(D)
If Cos A + Cos2 A = 1, then Sin2 A + Sin4 A=?
(A) 0
(B) 1
(C)
(D) -1
Get the Examsbook Prep App Today