Match the following:
Column – I Column – II
i) After striking the floor, a certain ball rebounds ${(\frac{4}{5})}^{t h}$ of height from where it has fallen. It is gently dropped from a height of 120 mts then the total distance travelled by the ball before coming to rest is __ p) 513
ii) The positive integer n for which $\sum_{r = 2}^{n} r {.2}^{r} = 2^{n + 10}$ is q) 25
iii) let $a_{1}, a_{2}, a_{3}, a_{4}, ....$ be a harmonic progression with $a_{1} = 5$ and $a_{20} = 25$ then the least +ve integer n for which $a_{n} < 0$ is r) 1080
iv) If $P = 2^{\frac{\log_{3} (\log_{2} 6)}{\log_{3} 2}}$ and $A^{P} = 4$ then $A^{P^{2}} =$ s) 36
t) 63

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i– s, ii – q, iii – p, iv – r

i – r, ii – p, iii – q, iv – s

i – q, ii – s, iii – r, iv – p

i – r, ii – p, iii – s, iv – q

answer is A.

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	Column – I		Column – II
i)	After striking the floor, a certain ball rebounds ${(\frac{4}{5})}^{t h}$ of height from where it has fallen. It is gently dropped from a height of 120 mts then the total distance travelled by the ball before coming to rest is __	p)	513
ii)	The positive integer n for which $\sum_{r = 2}^{n} r {.2}^{r} = 2^{n + 10}$ is	q)	25
iii)	let $a_{1}, a_{2}, a_{3}, a_{4}, ....$ be a harmonic progression with $a_{1} = 5$ and $a_{20} = 25$ then the least +ve integer n for which $a_{n} < 0$ is	r)	1080
iv)	If $P = 2^{\frac{\log_{3} (\log_{2} 6)}{\log_{3} 2}}$ and $A^{P} = 4$ then $A^{P^{2}} =$	s)	36
		t)	63