CAT 1991 — QA Question 22
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.
The sum of two integers is 10 and the sum of their reciprocals is 5/12. Then the larger of these integers is
Answer & solution
- A
2
- B
4
6
- D
8
Since the sum of reciprocals is 5/12.
The two numbers must have their LCM as 12 and their sum as given will be 10.
Possible numbers are 4 and 6 only.
Alternately,
Let the numbers be a and b.
a + b = 10 ...(1)
1/a + 1/b = 5/12 ...(2)
Solving (1) and (2), we get (a, b) = (4, 6)
Hence, option (c).