Question
A ball is dropped from a height of 120 metres. After each
bounce, it rises to one-fourth of the height from which it fell. What is the total distance the ball travels before coming to rest?Solution
Distance travelled in 1 st  fall = 120 m
Height to which the ball will rebound in 1 st  fall = 120/4 = 30 metres
Height to which the ball rebounds in 2 nd  fall = 30/4 = 7.5 metres
Therefore, distance travelled by ball = 120 + 30 + 30 + 7.5 + 7.5……. upto infinity
= 120 + 2 × (30 + 7.5 + up to infinity)
= 120 + 2 × 30/{1 – (1/4)} [sum of infinite G.P. = a/(1 – r)]
= 120 + 60 × 4/3 = 120 + 80 = 200 metres
Select the most appropriate antonym of the given word.
TURBULENT
One who always looks at the brighter side
Stultify
In the following questions, a word is followed by four choices. Select the choice that is nearly most opposite in meaning to the given word.
ACQUIT
- Select the most appropriate option to substitute the underlined word in the given sentence.
The cost of living has risen so drastically in the last... amicable
Select the most appropriate option to substitute the bold segment in the given sentence.
Abu said that he saw the picture.
Someone who is a passionate advocate, promoter, or pioneer of a particular cause or beliefÂ
Apostate
Select the word which means the same as the group of words given.
Something causing shock or dismay
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