Let the number of pieces sold be n and the price of each piece be p. Then total sales value, v, is given by pn, ? 1148 = pn. From the choices given in this question, rule out 56. Because 56 when reversed gives 65, which cannot be a factor of 1148. Try dividing 1148 by the first option, i.e. 82. The quotient is 14. Check that both, 82 and 14, when reversed give 28 and 41, whose product is 1148. Now we have identified the four numbers. We can now make use of the data that the inventory reduced by 54. Inventory is the quantify available in store. i.e. the remainder after having sold a certain number of pieces. If the inventory reduces by 54, it means that if actually x pieces are sold, then ON RECORD, (x + 54) pieces are sold. Observe that 82 and 28 differ by 54., So, if 28 is the actual number of pieces sold, then 82 is the value entered. It follows that if 41 was the actual price per piece, then it was entered as 14.

Let the number of pieces sold be n and the price of each piece be p. Then total sales value, v, is given by pn, ? 1148 = pn. From the choices given in this question, rule out 56. Because 56 when reversed gives 65, which cannot be a factor of 1148. Try dividing 1148 by the first option, i.e. 82. The quotient is 14. Check that both, 82 and 14, when reversed give 28 and 41, whose product is 1148. Now we have identified the four numbers. We can now make use of the data that the inventory reduced by 54. Inventory is the quantify available in store. i.e. the remainder after having sold a certain number of pieces. If the inventory reduces by 54, it means that if actually x pieces are sold, then ON RECORD, (x + 54) pieces are sold. Observe that 82 and 28 differ by 54., So, if 28 is the actual number of pieces sold, then 82 is the value entered. It follows that if 51 was the actual price per piece, then it was entered as 14.

Let the four persons be A, B, C and D. Let the times taken by them be 3, 7, 11 and 17 minutes respectively. The required condition is that the total time taken shall be the best. ?the faster person is chosen to drive the boat. Another condition is that no person can drive more than two trips. So, in the first trip, A covers D and leave him on the other be x; Time taken = 3 minutes………(1) A returns in 3 minutes……….. (2); two tips of A are non. Now, B takes A to the other bank in 7 seven minutes, leave him then and returns ………(3); B completes his two trips. Now C takes B to the other bank in 11 minutes, and all four crossed the stream. Total time taken = 3 + 3 + 7 + 7 + 11 = 31 minutes.