The following bar graph depicts the result for B.Sc. students of a college for three years. Read the graph and answer the questions based on this graph.

The percentage of students passed in 1982 was 1982

The number of students passed in 3rd division in 1984 was 1984

The percentage of students failed in 1984 was 1984

The percentage of students passed in 1st division in 1982 was 1982

The aggregate pass percentage during the three years was

The respective ratio between the height of tower and the point at some distance from its foot is 57 $: 19 sqrt{3}$. What is the angle (in degrees) of elevation of the top of the tower?

If 5 cos T + 12 sin T = 13, then tan T = ;

What is the value of tan 56° ?

If cosC + cosD = x, then the value of x is cos C + cos D = x,

What is the slope between the lines $y-sqrt{3} x-5=0$ and $sqrt{3} y-x+6=0$

The external bisector of ∠ABC of ’ ABC intersects the straight line through A and parallel to BC at the point D. If ∠ABC = 50°, then measure of ∠ADB is ’ ABC ds ∠ABC

If x² + y² + z² + 2 = 2(y – x), then value of x³ + y³ + z³ is equal to

If x and y are positive acute angles such that sin(4x – y) = 1 and cos(2x + y) = $frac{1}{2}$,, then what is the value of cot (x + 2y) ?

What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

80 metre away from the foot of the tower, the angle of elevation of the top of the tower is 60°. What is the height (in metres) of the tower?

A solid copper sphere of radius 9 cm. is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? $left( ight.$ Take $left.pi=frac{22}{7} ight)$

A man from the top of a 100 metre high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60°. The distance (in metres) travelled by the car during this time is

The ratio of alcohol and water in 40 litres of mixture is 5 : 3. Then 8 litres of the mixture is removed and replaced with water. Now, the ratio of the alcohol and water in the resultant mixture is

Rahim bought a gift item for Rs. 510 after getting a discount of 15%. He then sells it 5% - above the marked price. The profit earned in this deal is

If $an heta cdot cos 60^{circ}=frac{sqrt{3}}{2}$, then the value of $sin ( heta-$ $15^{circ}$ ) is

If $cos heta+sin heta=m$ and $sec heta+operatorname{cosec} heta=n$, then what is the value of $frac{n}{2}left(m^{2}-1 ight) ?$

Which of the following numbers is completely divisible by 99?

A tent is of the shape of a right circular cylinder upto a height of 3 metres and then becomes a right circular cone with maximum height of 13.5 metres above the ground. If the radius of the base is 14 metres, the cost of painting the inner side of the tent at the rate of Rs. 2 per square metre is

Water flows in a tank 150 m × 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at the speed of 15 km per hour. In what time will the water be 3 metres deep ?