Question Bank
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If the mean of 5 observations $x, x+2, x+4, x+6, x+8$ is 11, then the mean of first three observations is:
The arithmetic mean of $1, 2, 2, 3, 3, 3, ... n$ times $n$ is:
If the mean of 10 observations is 12 and the sum of first 9 is 100, find the 10th.
Which of the following is affected most by a change in scale (multiplication)?
If the mean of $x, x+3, x+6, x+9, x+12$ is 10, then x is:
In a distribution, if all observations are increased by $k$, the median:
The mean age of 30 students is 15 years. If the teacher's age is included, the mean increases by 1 year. Teacher's age is:
The mode of the data 1, 2, 2, 3, 3, 3, 4, 4, 5 is:
If the mean of 4, 6, x, 9, 10, 15 is 10, find x.
What is the angle of elevation of the sun when the shadow of a pole is equal to its height?
Find the height of a tower if its shadow is 20√3 m long when the sun's elevation is 30°.
A ladder 10 m long reaches a window 5 m high from the ground. Find the angle the ladder makes with the ground.
If the angle of elevation of a kite is 60° and the length of the string is 100 m, find the vertical height of the kite.
A man 1.5 m tall is 28.5 m away from a tower 30 m high. What is the angle of elevation of the top of the tower from his eye?
A pole 6 m high casts a shadow 2√3 m long. What is the sun's altitude?
The angle of depression of a boat from a bridge 25 m high is 30°. Find the horizontal distance of the boat from the bridge.
A tree 12 m high casts a shadow of 12 m. What is the angle of elevation of the sun?
If a building's height is h and its shadow is h/√3, find the angle of elevation.
A kite is flying at a height of 75 m. If the string makes an angle of 30° with the ground, find the string length.