91.

The value of 8(sin⁶θ + cos⁶θ) - 12(sin⁴θ + cos⁴θ) is equal to

• 20

• -20

• -4

• -4

An aeroplane flying horizontally at a height of 3 Km, above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

• 230.63 m/sec

• 230.93 m/sec

• 235.85 m/sec

• 235.85 m/sec

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

The angle of elevation of the top of an unfinished pillar at a point 150 metres from its base is 30°. The height (in metres) that the pillar must be raised so that its angle of elevation at the same point may be 45°, is (takeing √3 = 1.732)

• 63.4

• 86.6

• 126.8

• 128.6

Read the following pie-charts carefully to answer the questions.
Distribution of sales of Hindi and English newspapers in five localities A, B, C, D and E.
Hindi News Papers


English News Papers


What is the difference between the total sale of English newspapers and the total sale of Hindi newspapers in all the localities together?

• 7500

• 5600

• 6500

• 6500

Read the following pie-charts carefully to answer the questions.
Distribution of sales of Hindi and English news papers in five localities A, B, C, D  and E.
     Hindi News Papers


English News Papers



What is the central angle corresponding to the sale of Hindi newspapers in locality E?

• 80°

• 90°

• 60°

• 60°

Read the following pie-charts carefully to answer the questions.
Distribution of sales of Hindi and English news papers in five localities A, B, C, D and E.
Hindi News Papers

English News Papers

What is the approximate sum of the ratios of sales of English and Hindi newspapers in all localities?

• 51

• 50

• 32

• 32

Read the following pie-charts carefully to answer the questions.
Distribution of sales of Hindi and English news papers in five localities A, B, C, D and E.
 Hindi News Papers

English News Papers


What is the ratio of average number of English newspapers from the localities B, C and E to the average number of Hindi newspapers from the localities A and D?

• 10 : 19

• 19 : 10

• 16 : 33

• 16 : 33

Read the following pie-charts carefully to answer the questions.
Distribution of sales of Hindi and English news papers in five localities A, B, C, D and E.
Hindi Newspapers


English News Papers


What is the ratio of the average number of sale of English newspapers in localities B and D together to the average sale of Hindi newspapers in all the localities?

• 25 : 32

• 40 : 33

• 33 : 40

• 33 : 40