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 200/3%. 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. What is the maximum daily profit, in rupees, that Mr. David can realize from his business? 😃👍
If N=2^3*3^3*5^2*7^2,then find how many factors are there of N which are not divisible by 6?
- 63
- 81
- 76
- 69
0 voters
In how many ways can 72 be written as a product of 3 positive integers?
how to solve these kind of problems in a simple way.
In a Table Tennis tournament, the number of male participants was twice the number of female
participants. Each player played a match with each of the rest of the players exactly once. Each
match involved exactly two players. No match ended in a draw. The number of matches won by the
female players was equal to the number of matches won by the male players. Which of the following
can be the total number of matches in which a male player defeated a female player?
A school having 270 students provides facilities for playing four games – Cricket, Football, Tennis and Badminton. There are a few students in the school who do not play any of the four games. It is known that for every student in the school who plays at least N games, there are two students who play at least (N – 1) games, for N = 2, 3 and 4. If the number of students who play all the four games is equal to the number of students who play none, then how many students in the school play exactly two of the four games?
A professor teaches 3 courses and has 32 students on an average enrolled. If 5 students take 2 courses and 3 students take all three courses . what is the number of unrepeated students taking his course...
answer is in 80's
The expression f(x) is of fourth degree in x and the coefficient of x^4 is 1. If f(0)=1, f(1)=5, f(2)=9 and f(3)=13, then find f(4).
a) 41 b)24 c)28 d)32
Please if you have some short cut method do share.... 😃
How many integers satisfy the inequality ?
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Options:
1. 4
2. 5
3. 7
4. 10
5. infinitely many
if a 3 digit number abc has 2 factors, how many factors does the 6-digit number abcabc have?
- 16
- atleast 20 factors
- 24
- 36
0 voters
A function f(x) is defined as (x + 1) × f(x + 1) + x × f(x) + (x – 1) × f(x – 1) = 0 for x ≥ 2. If f(1) = 40 and f(6) = 180, find the value of f(14).
a) -80
b) -160
c) -240
d) -120
Bowl S contains only marbles. If 1/4 of the marbles were removed, the bowl would be
filled to 1/2 of its capacity. If 100 marbles were added, the bowl would be full. How many
marbles are in bowl S?
(A) 100 (B) 200 (C) 250 (D) 300 (E) 400
20 women can finish a job in 20 days. From second day onwards(including the 2nd day), everyday one woman is replaced by one man who is twice as efficient as the woman. Find on which day the job gets finished?
a) 13
b) 14
c)15
d) none
In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey. Find the number of students who play hockey....
1.120 2.96 3.128
One day I started from A to B at exactly 12 noon. My friend started from B to A at exactly 2:00 pm. We met on the way at fivepast four and reached our destinations at exactly the same time. What time was it?
2 men , 3 women,and 2 boy can do a piece of work in 20 dys. 4 men and 9 women can do a piece of work in 10 dys. what is the ratio of time taken to complete the same work by a man and by a boy
a) 2:1
b) 1:3
c) 3:1
d) 1:4
Share the approach ...
A vessel contains milk and water in the ratio 3:2 The volume of the contents is increased by 50%. by adding extra water.From this resultant solution 30L is withdrawn and replaced with water. The resultant ratio is 3:7 Find original volume of solution.
Check whether this is correct...
Initially volume is 3x+2x = 5x
After increasing volume by 50% by adding water only water will added up
Volume = 3x+4.5x = 7.5x OR 2:3
(When volume becomes 3/2 Conc becomes 2/3) -- Till here its correct
----------- Replacement ----------------------
Using allegation ; taking water
3/5 1
7/10
3 : 1
90 : 30
= 120 L
120 * 2/3 = 80 ! Q.E.D.
@jasneetdua @ralins @SatadeepBiswas
A vessel contains milk and water in the ratio 3:2 The volume of the contents is increased by 50%. by adding extra water.From this resultant solution 30L is withdrawn and replaced with water. The resultant ratio is 3:7 Find original volume of solution.
Check whether this is correct...
Initially volume is 3x+2x = 5x
After increasing volume by 50% by adding water only water will added up
Volume = 3x+4.5x = 7.5x OR 2:3
(When volume becomes 3/2 Conc becomes 2/3) -- Till here its correct
----------- Replacement ----------------------
Using allegation ; taking water
3/5 1
7/10
3 : 1
90 : 30
= 120 L
120 * 2/3 = 80 ! Q.E.D.
@jasneetdua @ralins @SatadeepBiswas
hi guys do explain..
Q3
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A team of miners planned to mine 1800 tons of ore during a certain number of days.Due to technical difficulties in one third days the team was able to achieve an output of 20 tons less than the planned output. To make up for this, the team overachieved for the rest of the days by 20 tons. The end result was that the team completed the task one day ahead of time. How many tons of ore did the team initially plan to ore per day.
a. 50
b. 150
c. 100
d. 200
e.250
time: clock
A goes out sometime btwn 4 and 5 o'clock. when he gets back at around sometime btwn 7 and 8 o'clock, he notices that the hour hand and minute hand have exchanged positions, with the positions initially when he left. for how long was he out?
i could get 2 equations , first in terms of say p and second in terms of say r. and got the difference p-r=14 minutes. then? how do i proceed ?
i could get 2 equations , first in terms of say p and second in terms of say r. and got the difference p-r=14 minutes. then? how do i proceed ?
pls help. ty