First one
Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 240 + bx + cx2, where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 66.66%. However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit. (CAT 2007) 1. How many units should David produce daily? a. 130 b. 100 c. 70 d. 150 e. CBD 2. What is the maximum daily profit, in Rs that Mr David can realize from his business? a. 620 b. 920 c. 840 d. 760 e. CBD
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Soln
@mayur_arora A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount? (CAT 2007) a. Over Rupees 13 but less than Rupees 14 b. Over Rupees 7 but less than Rupees 8 c. Over Rupees 22 but less than Rupees 23 d. Over Rupees 18 but less than Rupees 19 e. Over Rupees 4 but less than Rupees 5
Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78 paise, 69 paise and Rs 1.01 to three different persons? (CAT 2003 Retest)
Q. The Number of Positive integers value pairs(x.y) satisfying 4x-17y=1 and x<=1000 ?
Does anyone has Quantum CAT by Sarvesh Varma pdf?
Approach?
Approach? thanks in advance
Please solve(TIA)
A lumberjack boy cuts a branch of length 10 feet in the jungle. He decides to use it as a diagonal and cut four more branches to form a square. Then taking the side of the square as diagonal, he constructs a new square by cutting four more branches and so on, every time cutting new set of branches for every new square. He would stop cutting the branches, once the area of the square formed drops below one-thousandth of the area of the first square.
How many branches would he cut?
Approach?
Find maximum and minimum value of x^2 -x+1 /(x^2 +x+1)
- none of these
- 3, 1/3
- 7/3, 3/7
0 voters
if we define an expression as p(x)= x2 and expression q(x) = |4x| then for how many integer values is P(x) - q(x) a negative quantity
- 2
- 8
- 6
- 4
0 voters
Anu and Prem started running simultaneously from diametrically opposite points on a circular track. They ran in opposite directions and met after 12 minutes for the first time. After how long (in minutes) would they meet for the seventh time?
Approach ? Question 1
Can anyone explain this sum to me ?
Plz help me with Q 17!!
0 voters
Has anyone here taken TestFunda mocks? How close do you find those mocks to actual CAT? Thanks in advance.