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15 Jul 2019, 01:14
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JAI HIND
The more is the value of the denominator , the lesser is the value of the fraction.
For ex :- 1/2 > 1/3 ...1/2 means 50%.... 1/3 means 33.33%...
Now here , 1/90 > 1/91
1/90 > 1/92..
.................
10 / 90 > 1/91 + 1/92 + ........1/100
Since each of the term on the left hand side i.e 1/90 is greater than the each of the term on the right hand side ....
So 1/9 > S..
Now , 1/8 > 1/9 ...So 1/8 is also greater than S.
Only one option is left . Option 3 is the answer.
Now lets check why option 3 is the answer.
1/100 < 1/91
1/100 < 1/92
..................
10/100 < 1/91 + 1/92 + ........1/100
1/10 < S
26 Jun 2020, 22:57
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krisrini
Thanks, I think this was the best and fastest solution
do the maths and solve
=> 1/91 & 1/92
=> 0.0101 (since all of them work out to approximately the same 0.0101 number you know that this series is going to be around the same which mean you can multiple it by 10)
=> 10*0.0101
=> 0.101
And now do the same for each of the different answers and you will see only 3 is lesser.
03 Aug 2020, 19:42
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JAI HIND
****************************************************
S=(1/91)+(1/92)+(1/93)......(1/100)......Harmonic Progression where n=10
S= Median * n=[{(1/95)+(1/96)}/2]*10
The approach to this question will be based on approximation
S=10/(95*2) + 10/(96*2)
S= (1/19)+(1/19) (approximation)=(1/9.5)
Please note that the sum cannot be less than this and hence
The answer is (C)
