Q : Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the similar triangle is:
(A) 15 cm
(B) 14 cm
(C) 12 cm
(D) 13 cm
Correct Answer : C
Q : D and E are midpoints of side AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K. AK : KH = ?
(A) 1 : 1
(B) 1: 2
(C) 2 : 1
(D) 3 : 2
Correct Answer : A
Q : If the base radius of a right circular cylinder is reduced to half and its height remains the same, then the ratio of the volume of new formed cylinder to original cylinder would be:
(A) 1: 2
(B) 1: 1
(C) 2: 1
(D) 1: 2
Correct Answer : B
Q : A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is
(A) 152 cm
(B) 132 cm
(C) 168 cm
(D) 225 cm
Correct Answer : B
Q : A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm.2) in the total surface area?
(A)
(B)
(C)
(D)
Correct Answer : B
Q : The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the rest two angles. What is the sum of the smallest and the second largest angles?
(A) 80°
(B) 60°
(C) 100°
(D) 90°
Correct Answer : D
Q : If each interior angle is doubled of each exterior angle of a regular polygon with n sides, then the value of n is
(A) 3
(B) 6
(C) 5
(D) 8
Correct Answer : B
Q : ∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are
(A) 69° ,88° , 24°
(B) 69°, 88°, 23°
(C) 69°, 87°, 24°
(D) 69°, 89°, 22°
Correct Answer : C
Q : In ∆ABC, ∠B is a right angle, AC = 6cm, and D is the mid-point of AC. The length of BD is:
(A) 4 cm
(B) √6 cm
(C) 3 cm
(D) None of these
Correct Answer : C
Q : Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?
(A) 36
(B) 45
(C) 40
(D) 30
Correct Answer : C
Q : A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is:
(A) 125 cm2
(B) 230 cm2
(C) 550 cm2
(D) 616 cm2
Correct Answer : D
Q : If the angles of a triangle are in the ratio of 1:4:7, then find the ratio of the greatest angle to the smallest angle.
(A) 7:2
(B) 2:3
(C) 7:1
(D) 3:5
Correct Answer : C
Q : In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is
(A) 2 : 3
(B) 2 : 1
(C) 1 : 2
(D) 1 : 3
Correct Answer : C
Q : ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is:
(A) 65°
(B) 70°
(C) 80°
(D) 75°
Correct Answer : D
