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
Statements: M ≥ X ≥ B > V ≤ G = Y > K > U < N
Conclusion
I: G > U
II: V ≤ M
Statements:
Some Lessons are Chapters.
No Chapter is Topic.
Only a few Topics are Paragraphs.
Only Paragraph is Content.
...Given below are two statements, followed by two conclusions. Assume the given statements to be true even if they vary with commonly known facts. Based o...
Read the statements and identify which of the conclusions logically follow/s from the given statement.
Statement:
Parents are ready to p...
Statements:
Q ≥ R = P; R > S ≥ Z; S ≥ B < C
Conclusions:
I. C > Z
II. B < Q
Statements:
Only English are History.
Only a few English are Science.Â
Some Science are not Hindi. Â Â
Conclusions:
<...Statement: S ≤ M < X = H ≥ B ≥ K < V
Conclusion: X > K, K = X
In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, ...
The data breach at 19 Indian banks that have led to more than 32 lakh debit cards being blocked or recalled is a wake-up call for the banking industry. ...
Statements: H = U < S ≤ V > F = E > J ≥ I
Conclusion
I: H < F
II: V > I
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