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Q.

A water tank has steps inside it. A monkey is sitting on the topmost step (i.e the first Step).

The water level is at ninth step

i) He jump Rs3 steps down and then Sumps back 2 Steps up. In how many sumps will he reach the Water level?

ii) After drinking water, he wants to go back. for this, he jumps 4 steps ep p and then sumps back 2 steps down in every move. In how many jumps will he roach back to top step?

iii) If the number of steps moved down is represent rod by negative integers and the number of step moved up by positive integer, represent his moves in part

i) and ii) by Completing the following

1) –3 + 2….= –8

2) 4 – 2+…. = 8

In (1) the sum (–8) represents going down steps, so what will the sums in (2) represent?

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a

  i) II. ii) 5 jumps iii) 48 indicate opp. indirection the

b

P) 10 ii) 4 jump iii) Same direction as (1)

c

i) a ii) 3 jump iii) no direction com be determines

d

  i) 2 ii) 4 iii) Can't be determine 

answer is A.

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Detailed Solution

i) Forward jump = 3, backward jump p = 2
effective sum steps a 1 step
∴ He covers 1 step in 2 jump
To Reach behind destination 5 steps.
Total Jump in 5 steps = 5 × 2 ⇒ 10 jump he is
Now he is on 8th steps and after 1 jump he is on 9th step It means total = 10 + 1 = 11 jumps
ii) For ward jump = 4, back ward jump = 2 To Reach behind destinations = 8 – 4 = 4 steps. at the Rate of 2 Jump and 2 step
jump in step = 4 × 1
4 = jump
ii) It mean in step = 4 + 1 = 5 jumps
1) (–3 + 2) + (–3 + 2) + (–3 + 2) + (–3 + 2)
+(–3 + 2)– 3 = –5 – 3 = –8.
2) (4 – 2) + (4 – 2) + (4 – 2) + (4 – 2) + 4
= 4 + 4 = 8
In b + 8 represents going up by 85 steps.

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