Small Quiz

3

QUESTION 1

The sides of a triangle are in the ratio 7 : 9 : 12. The difference between the largest side and the smallest one is 15 cm. What is the length of the longest side?

12 cm
 

36 cm
 

60 cm
 

 24 cm

QUESTION 2

 What will be the volume of the right circular cylinder 21 cm height with radius 5 cm long?

1650 cm³
 

1255 cm³
 

1050 cm³
 

334π cm³

QUESTION 3

A right-angled ? with sides 9 cm, 12 cm and 15 cm long is rotated on the side 9 cm long to form a cone. What will be the volume of the cone so formed?

324 π cm³
 

327 π cm³
 

330 π cm³
 

 334 π cm³

QUESTION 4

If the radius of a sphere is increased by 2 cm, its surface area increases by 352 cm². What was the initial radius of the sphere? [take π=22/7]

3 cm
 

5 cm
 

6 cm

QUESTION 5

If the internal bisectors of ∠B and ∠C of the ?ABC meet in point O and ∠A = 80°.What is the measure of ∠BOC in degree?

100°
 

120°
 

130°
 

140°

QUESTION 6

If the three successive angles of a cyclic quadrilateral are in the ratio 1 : 3 : 4. What is the measure of the 4th angle?

 36°
 

72°
 

108°
 

30°

QUESTION 7

AB is the diameter of a circle with centre O. PQ is a chord which does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ, then what will be ABQP?

(a) cyclic rectangle
(b) cyclic square
(c) cyclic trapezium
(d) cyclic rhombus

(a) cyclic rectangle
(b) cyclic square
(c) cyclic trapezium
(d) cyclic rhombus

(a) cyclic rectangle
(b) cyclic square
(c) cyclic trapezium
(d) cyclic rhombus

(a) cyclic rectangle
(b) cyclic square
(c) cyclic trapezium
(d) cyclic rhombus

QUESTION 8

Let in an equilateral ?ABC, AX⊥BC. What will be the sum of the perpendicular drawn on the sides of the triangle from a point in the interior of the triangle?

 Equal to AX
 

 More than AX
 

Less than AX
 

 Equal to BC

QUESTION 9

If cosθ + sinθ = m and secθ + cosecθ = n then n(m² – 1) is equal to ?

 4mn
 

mn
 

2n

2m

QUESTION 10

The diameter of a 120 cm long roller is 84 cm. The roller makes 500 revolutions to plane the land. What will be the cost of making the land plane at the rate of Rs 1.50 per sq. meter?
 

 Rs 6000
 

Rs 5750
 


Rs 3762

Rs 2376