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Recent questions tagged p39
Questions
If a young man rides his motorcycle at 25 km/hr, he had to spend Rs.2 per km on petrol. If he rides at a faster speed of 40 km/hr, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as LPP and solve it graphically.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q6
p39
math
asked
Feb 5, 2013
by
meena.p
1
answer
A farmer has a supply of chemical fertilizer of type I which contains 10% nitrogen and 6% phosphoric acid and type II fertilizer which contains 5% nitrogen and 10% phosphoric acid. After testing the soil conditions of a field, it is found that atleast 14 kg of nitrogen and 14 kg of phosphoric acid is required for a good crop. The fertilizer type I costs Rs.2.00 per kg and type II costs Rs.3.00 per kg. How many kilograms of each fertilizer should be used to meet the requirement and the cost be minimum.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q5
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A firm makes two types of furniture : chairs and tables. The contribution to profit for each product as calculated by the accounting department is Rs.20 per chair and Rs.30 per table. Both products are to be processed on three machines $ M_1,M_2 and M_3.$ The time required in hours by each product and total time available in hours per week on each machine are as follows:
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q4
p39
math
asked
Feb 5, 2013
by
meena.p
1
answer
An oil company has tow depots A and B with capacities of 7000L and 4000L respectively. The company is to supply oil to three petrol pumps D, E and F whose requirements are 4500L, 3000L and 3500L respectively. The distances (in km) between the depots and the petrol pumps is given in the following table:
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q3
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30 g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A, while each packet of the same quality of food Q contains 3 units of calcium, 20 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and almost 300 units of cholesterol. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A?
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q2
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
A toy company manufactures two types of doll; a basic version-doll A and a deluxe version doll B. Each doll of type B takes twice as long as to produce as one of type A, and the company would have time to make a maximum of 2000 per day if it produces only the basic version. The supply of plastic is sufficient to produce 1500 dolls per day (both A and B combined). The deluxe version requires a fancy dress of which there are only 600 per day available. If company makes profit of Rs.3 and Rs.5 per doll, respectively, on doll A and B; how many each should be produced per day in order to maximize profit.
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q1
p39
math
asked
Feb 5, 2013
by
meena.p
0
answers
The principal value of $\cos^{-1}\bigg(-\Large {\frac{1}{2}}\normalsize \bigg)$ is_____________.
cbse
class12
ch2
q38
p39
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos^{-1}x\;>\;\sin^{-1}x,$ then \begin{array}{1 1}(A)\quad\frac{1}{\sqrt 2}<x\leq 1& (B)\quad 0\leq x<\frac{1}{\sqrt 2}\\(C)\quad -1\leq x<\frac{1}{\sqrt 2} & (D)\quad x>0\end{array}
cbse
class12
ch2
q37
p39
objective
exemplar
medium
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The number of real solutions of the equation$\sqrt{1+\cos2x}=\sqrt 2\cos^{-1}(\cos x)\;in\begin{bmatrix}\frac{\Large \pi}{2},\pi\end{bmatrix}$
cbse
class12
ch2
q36
p39
objective
exemplar
easy
sec-b
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos^{-1}\alpha+\cos^{-1}\beta+\cos^{-1}\gamma=3\pi$,then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ equals\[(A)\;0\quad(B)\quad 1\quad(C)\quad 6\quad(D)\quad 12\]
cbse
class12
ch2
q35
p39
objective
exemplar
medium
sec-b
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $|\;x\;|\leq 1,then\;2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ is equal to:
cbse
class12
ch2
q34
p39
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of the expression $\tan\bigg(\frac{1}{2}\cos^{-1}{\frac{2}{\sqrt 5}}\bigg)$ is:
cbse
class12
ch2
q33
p39
objective
exemplar
medium
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of $\cot\bigg(\cos^{-1}\frac{7}{25}\bigg)$ is
cbse
class12
ch2
q32
p39
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
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