TheCATExam
Sign in

CAT 1991 — QA Question 9

PercentageEasy
Passage / Data

Use the following information:

Prakash has to decide whether or not to test a batch of 1000 widgets before sending them to the buyer. In case he decides to test, he has two options: (a) Use test I ; (b) Use test II. Test I cost Rs. 2 per widget. However, the test is not perfect. It sends 20% of the bad ones to the buyer as good. Test II costs Rs. 3 per widget. It brings out all the bad ones. A defective widget identified before sending can be corrected at a cost of Rs. 25 per widget. All defective widgets are identified at the buyer’s end and penalty of Rs. 50 per defective widget has to be paid by Prakash.

If Prakash is told that the lot has 160 defective widgets, he should:

Answer & solution

  • use Test I only

  • B

    use Test II only

  • C

    do no testing

  • D

    either use Test I or do not test

Solution

Consider the solution to first question of this set.

For widgets ≤ 100, no test is required.
For 100 ≥ widgets ≤ 200 test 1 is preferred.
For widgets ≥ 200 test 2 is preferred.

In case of 160 defectives he should use test I as it is cheaper.

Hence, option (a).

CAT 1991 QA Q9: If Prakash is told that the lot has 160 defective widgets, he should: — Solution | TheCATExam