1) In a right angled triangle, the hypotenuse is 4 times the altitude from the opposite vertex. Then one of the acute angles of the triangle is ...

2) If the lengths of the sides of a triangle are 3, 5, and 7, then the measure of greatest angle is

3) The measures of co-terminal angles differ by an integral multiple of

4) The radian measure of the angle, subtended at the centre of a circle by an arc whose length is twice the diameter of the circle, is

5) If the perimeter of a sector of a circle is twice the diameter of the circle, then the radian measure of the angle of the sector is

6) A wire in the form of a rectangle of sides 4 cm and 6 cm is reshaped into a sector of a circle of radius 8 cm. Then the angle of the sector in degrees is

7) Which of the following number is rational ?

8) Which of the following is not correct ?

9) which of the following is correct ?

10) The sum of the radii of inscribed and circumscribed circles for an nâ€“ sided regular polygon of side 'a' is :

11) The angles of a triangle are in the ratio 4 : 1 :1, then the ratio of the largest side to the perimeter is :

12) If a, b, c are sides opposite to the angles A, B, C, then which of the following is correct?

13) A triangular park is enclosed on two sides by a fence and on the third side of straight river bank. The two sides having fence of same length x. The maximum area enclosed by the park is :

14) The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 m. The angle subtended by the wire at the center of the circle is equal to

15) In a right-angled triangle if the sides are in A.P., then their ratio is

16) If the ex-radii of a triangle are in H.P., then the corresponding sides are in

17) Which of the following relations is possible?

18) The angle of a right angled triangle are in A.P. The ratio of the in-radius and the perimeter is

19) Which one of the following equations has no solution?

20) If the angles of a triangle are in the ratio 1 : 2 : 3, the corresponding sides are in the ratio

21) If the angles of a triangle are in the ratio 1 : 2 : 7, then the ratio of the greatest side to the least side is

22) In a triangle the angles are in A.P. and the lengths of the two larger sides are 10 and 9 respectively, then the length of the third side can be

23) In a triangle the length of the two larger sides are 24 and 22, respectively. If the angles are in AP, then the third side is