CAT 1999QA Question 22

AlligationEasy
Passage / Data

Answer the next 2 questions based on the following information.

The following table presents the sweetness of different items relative to sucrose, whose sweetness is taken to be 1.00.

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What is the minimum amount of sucrose (to the nearest gram) that must be added to one gram of saccharin to make a mixture that will be at least 100 times as sweet as glucose?

Answer & solution

  • A

    7

  • B

    8

  • 9

  • D

    100

Solution

If the mixture is to be made 100 times as sweet as glucose, its sweetness should be 74. The ratio in which saccharin and sucrose be mixed to get the above level of sweetness is given by the following alligation table.

In other words, it means to achieve the given level of sweetness, you need to add 601 g of sucrose to 73 g of saccharin. Hence to 1 g of saccharin, the amount of sucrose to be added is 60173 = 8.23.g.

Hence, option (c).

CAT 1999 QA Q22: What is the minimum amount of sucrose (to the nearest gram) that must be added to one gram of saccharin to mak — Solution | TheCATExam