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Time and Work

A monkey ate ...

Question

A monkey ate 100 idli's in 5 days, each day eating 6 more than the previous day. How many did it eat on the last day?

A

23

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B

26

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C

35

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D

32

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Solution

The correct option is C 32
$L e t t h e n u m b e r o f i d l i s e a t e n o n f i r s t d a y b e x, i d l i s e a t e n o n d a y n = x + (n - 1) * 6 (g i v e n) T h i s i s a n a r i t h e m a t i c p r o g r e s s i o n, w i t h d i f f e r e n c e 6. f o r n = 5, s u m = 100. s u m = \frac{n (a_{n} + a_{1})}{2}, a_{n} {= a}_{5} = x + 24, a_{1} = x \frac{5 (x + x + 24)}{2} = 100, 10 x = 200 - 120, x = 8, a_{5} = i d l i s e a t e n o n d a y 5 = 8 + 24 = 32$

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