Q4. If A + B + C = 𝜋, then cos 2A + cos 2B + cos 2C =?
(a) 1 + 4 cosA cosB cosC
(b) -1 + 4 sinA cosB cosC
(c) -1 – 4 cosA cosB cosC
(d) 1 + 4 sinA sinB sinC
Q5. The area of a circle is increased by 22 cm, if its radius is increased by 1 cm. The original radius of the circle is
(a) 6 cm
(b) 3.2 cm
(c) 3 cm
(d) 3.5 cm
Q6. The diameter of a wheel is 98 cm. The number of revolutions in which it will have to cover a distance of 1540 m is
(a) 500
(b) 600
(c) 700
(d) 800
Q7. If the perimeter of a right angled triangle is 56 cm and area of the triangle is 84 sq. cm, then the length of the hypotenuse is (in cm)
(a) 25
(b) 50
(c) 7
(d) 24
Q8. 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 (Take π=22/7)
(a) 125 cm^2
(b) 230 cm^2
(c) 550 cm^2
(d) 616 cm^2
Q9. The area of a circle is increased by 22 cm^2 when its radius is increased by 1 cm. The original radius of the circle is
(a) 3 cm
(b) 5 cm
(c) 7 cm
(d) 9 cm
Q10. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively both the pipes are opened together. But, after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
(a) 10 min 20 sec
(b) 11 min 45 sec
(c) 12 min 30 sec
(d) 14 min 40 sec
Q12. The radius of a circle is 13 cm and the length of one of its chords is 10 cm. Find the shortest distance between mid of chord and the centre of a circle.
(a) 8 cm
(b) 10 cm
(c) 9 cm
(d) 12 cm
Q13. One chord of a circle is known to be 10.1 cm. The radius of this circle must be;
(a) 5 cm
(b) greater than 5 cm
(c) greater than or equal to 5 cm
(d) less than 5 cm
Q14. In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is
(a) 21.6 cm
(b) 26.4 cm
(c) 13.2 cm
(d) 198.8 cm
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