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In a grain godown at Nashik, sacks are piled in layers. The bottom layer holds 40 sacks and each layer above holds 3 fewer than the one below.
The top layer holds 4 sacks. How many sacks are piled in all?

Class 10Sum of n Terms of an APAlgebra — Sequences
  • A282
  • B287
  • C572
  • D286

Step-by-Step Solution

The layers form the AP 40, 37, 34, ..., 4 with and . Then , so . The value 282 stops at 7 sacks , forgetting the "+1"), 287 carries the pile down to 1 sack , and 572 omits the factor .
Answer: D) 286

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