Bank Exams Questions

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One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.  

 $2\mathrm{\pi s}$ = 264 and $2\mathrm{\pi l}$ = 352  

 s = $\frac{264}{2\mathrm{\pi }}$ and l = $\frac{352}{2\mathrm{\pi }}$   

Difference between the areas =$\pi l^2-\pi s^2$   

  = $\mathrm{\pi }\left(\frac{{176}^2}{{\mathrm{\pi }}^2}-\frac{{132}^2}{{\mathrm{\pi }}^2}\right)$ 

  = $\frac{1762}{\mathrm{\pi }}-\frac{1322}{\mathrm{\pi }}$  

  = (176 - 132)(176 + 132) / $\mathrm{\pi }$  

  = (44 x 308) / (22/7) = 4312 sq.m

The single equivalent payment will be PV + FV.
FV
= Future value of $10,000, 12 months later

$10,000 *(1.0075)/12

$10,938.07
PV=
Present value of $10,000, 24 months earlier

$10,000/(1.0075)24

$8358.31
The equivalent single payment is
$10,938.07 + $8358.31
= $19,296.38

The twentieth element in the above arrangement is 'E'.
Then, the sixth element to the left of 'E' is 'L'.