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Question 1
A hairdresser currently charges Rs. 5 per haircut and gets 100 customers per week. The number of customers per week will decrease by 10 for every one rupee increase in the charge of haircut. At the most how much the hairdresser can charge per haircut (in Rupees) so that his weekly earning does not fall below the current level?
Question 2
For three integers x, y and z, x + y + z = 5, and xy + yz + xz = 3. What is the largest value which x can take?
Question 3
Number S is equal to the square of the sum of the digits of a 2 digit number D. If the difference between S and D is 27, then D is
Question 4
A string of length 40 metres is divided into three parts of different lengths. The first part is three times the second part, and the last part is 23 metres smaller than the first part. Find the length of the largest part.
Question 5
A thief was stealing diamonds from a jewellery store. On his way out, he encountered three guards, each was given half of the existing diamonds and two over it by the thief. In the end, he was left with one diamond. How many diamonds did the thief steal?
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Oct 31CDS & Defence
