Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged sec-c

Shamshad Ali buys a scooter for Rs. 22,000. He pays Rs. 4,000 cash and agrees to pay the balance in annual installment of Rs. 1,000 plus 10% interest on the unpaid amount. How much will the scooter costs him?

asked Apr 9, 2014 by rvidyagovindarajan_1

1 answer

Show that $\large\frac{1\times2^2+2\times 3^2+........n\times (n+1)^2}{1^2\times 2+2^2\times 3+.........n^2\times (n+1)}=\frac{3n+5}{3n+1}$

asked Apr 7, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $3+7+13+21+31+.............$

asked Apr 2, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $\large\frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+.........$

asked Apr 2, 2014 by rvidyagovindarajan_1

1 answer

The ratio of A.M. and G.M. of two positive numbers $a$ and $b$ is $m:n$. Show that $a:b=(m+\sqrt {m^2-n^2}):(m-\sqrt {m^2-n^2})$

asked Mar 31, 2014 by rvidyagovindarajan_1

1 answer

If $a$ and $b$ are roots of $x^2-3x+p=0$ and $c$ and $d$ are roots of $x^2-12x+q=0$, where $a,b,c,d$ form a G.P. then prove that $(q+p):(q-p)=17:15$

asked Mar 31, 2014 by rvidyagovindarajan_1

1 answer

Let $S$ be the sum, $P$ the product and $R$ the sum of reciprocals of $n$ terms of a G.P. Prove that $P^2R^n=S^n$

asked Mar 31, 2014 by rvidyagovindarajan_1

1 answer

Evaluate : \[\] $ \int \large\frac{1}{\sin^4x+\sin^2x \cos^2x + \cos^4x}$$dx$

asked Mar 25, 2014 by thanvigandhi_1

0 answers

If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show that the area of the triangle is maximum, when the angle between them is $60^{\circ}$.

asked Mar 25, 2014 by thanvigandhi_1

1 answer

Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award Rs.x each, Rs.y each and Rs.z each for the three respective values to 3,2 and 1 students respectively with a total award money of Rs. 1,600. School B wants to spend Rs. 2,300 to award its 4, 1 and 3 students on the respective values ( by giving the same award money to the three values as before ). If the total amount of award for one prize on each value is Rs. 900 using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

asked Mar 25, 2014 by thanvigandhi_1

0 answers

Two numbers are selected at random ( without replacement ) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of the random variable X, and hence find the mean of the distribution.

asked Mar 25, 2014 by thanvigandhi_1

1 answer

There are three coins. One is a two-headed coin ( having head on both faces ), another is a biased coin that comes up heads 75% of the times and third is also a biased coin that comes up tails 40% of the times. One of the three coins is chosen at random and tossed, and it shows heads. What is the probability that it was the two-headed coin?

asked Mar 25, 2014 by thanvigandhi_1

2 answers

A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours of fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of Rs. 80 on each piece of type A and Rs. 120 on each piece of type B. How many pieces of type A and B should be manufactured per week to get a maximum profit? Make it as an LPP and solve graphically. What is the maximum profit per week?

asked Mar 25, 2014 by thanvigandhi_1

1 answer

Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2) ( 1, 5) and ( 3, 4)

asked Mar 25, 2014 by thanvigandhi_1

1 answer

Find the distance of the point (2, 12, 5) from the point of intersection of the line $ \overrightarrow r = 2\hat i - 4\hat j + 2 \hat k + \lambda ( 3\hat i + 4 \hat j + 2 \hat k ) $ and the plane $ \overrightarrow r. ( \hat i - 2 \hat j + \hat k ) =0.$

asked Mar 25, 2014 by thanvigandhi_1

1 answer

Find the equation of the plane through the line of intersection of the planes $ x+y+z=1$ and $2x+3y+4z=5$ which is perpendicular to the plane $x-y+z=0$. Also find the distance of the plane obtained above, from the origin.

asked Mar 25, 2014 by thanvigandhi_1

1 answer

Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$

asked Mar 24, 2014 by rvidyagovindarajan_1

1 answer

Two schools $P$ and $Q$ want to award their selected students on the values of Tolerance,Kindness and Leadership. The school $P$ wants to award $Rs.x,\:Rs.y\:and\:\:Rs.z$ each for the three respective values to $3,2\:and\:1$ students respectively with a total award money of $ Rs.2,200.$ School $Q$ wants to spend $Rs.3,100$ to award its 4,1 and 3 students on the respective values (by giving the same award money to the three values as school $P$). If the total amount of award for one prize on each value is $Rs.1,200,$ using matrices, find the award money for each value.

asked Mar 23, 2014 by rvidyagovindarajan_1

1 answer

Find the distance of the point $P(-1,-5,-10)$ from the point of intersection of the line joining the points $A(2,-1,2)$ and $B(5,3,4)$with the plane $x-y+z=5$

asked Mar 21, 2014 by rvidyagovindarajan_1

1 answer

Find the equation of the plane that contains the point $(1,-1,2)$ and is $\perp$ to the planes $2x+3y-2z=5$ and $x+2y-3z=8$. Hence find the distance of the point $(-2,5,5)$ from the plane obtained above.

asked Mar 21, 2014 by rvidyagovindarajan_1

1 answer

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are diamodns? (ii) only 3 cards are diamonds? (iii) none is a diamonds?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Evlauate$ \Large \int_0^{\pi/4}$$ \large \frac{\sin x+\cos x}{9+16\sin 2x}$$dx$

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Find the sum of $n$ terms of the series $(3\times 8)+(6\times 11)+(9\times 14).............$

asked Mar 13, 2014 by rvidyagovindarajan_1

1 answer

Find the sum to $n$ terms of the series $\large\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+..........$

asked Mar 10, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of $n$ terms of the series $(1\times 2\times 3)+(2\times 3\times 4)+(3\times 4\times 5)+.......$

asked Mar 7, 2014 by rvidyagovindarajan_1

1 answer

$ the A.M. and $G$ the G.M. between two positive numbers then show that the numbers are $A\pm \sqrt {(A+G)(A-G)}$

asked Mar 6, 2014 by rvidyagovindarajan_1

1 answer

The sum of two numbers is $6$ times their geometric mean.Show that the ratio of the numbers is $3+2\sqrt 2\::\:3-2\sqrt 2$

asked Mar 5, 2014 by rvidyagovindarajan_1

1 answer

Find the value of $n$ so that $\large\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ may be the geometric mean between $a$ and $b$.

asked Mar 4, 2014 by rvidyagovindarajan_1

1 answer

Sketch the region and find the area bounded between $y=\sqrt {5-x^2}$ and $y=|x-1|$ using integration.

asked Feb 10, 2014 by rvidyagovindarajan_1

1 answer

An open box with square base is to be made of a given quantity of card board of area $ 36 sq.metre.$ Find the maximum volume of the box.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

Find the area bounded by curves $x^2 + (y-1)^2 = 1$ and $x^2 + y^2 = 1$.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

Solve the differential equation $\large\frac{dy}{dx}$$=cos(x+y)+sin(x+y)$ and find the particular solution if $y(0)=0$

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

If the lines $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\lambda(3\hat i+2k\hat j-2\hat k)$ and $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\mu(k\hat i+\hat j+5\hat k)$ are $\perp$ to one another then find the equation of the plane containing them.

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

One mole of the complex compound $CO(NH_3)_5Cl_3$ gives 3 moles of ions on dissolution in water.On a mole of the same complex reacts with 2 moles of $AgNO_3$ solution to yield 2 moles of $AgCl(s)$.The structure of complex is

asked Feb 3, 2014 by sreemathi.v

1 answer

A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each.The cost for engaging each large van is Rs 400 and each small van is Rs 200.Not more than Rs 3000 is to be spent on the job and the number of large vans cannot exceed the number of small vans.What will be the minimum cost?

asked Feb 1, 2014 by rvidyagovindarajan_1

1 answer

A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that the bag has 3 white balls.

asked Jan 31, 2014 by rvidyagovindarajan_1

1 answer

The cost of construction for an open tank is Rs. 200 per sq. unit for the base, and the cost for doing the walls is Rs. 150 per sq. unit. An open tank is to be constructed with rectangular base of height 2 units and volume of 8 cubic units.What is the cost of the least expensive open tank given these constraints?

asked Dec 23, 2013 by balaji.thirumalai

1 answer

Show that of all the rectangles with a given perimeter,the square has the largest area.

asked Jul 25, 2013 by sreemathi.v

0 answers

Obtain the inverse of the following matrix using elementary operations :$A=\begin{bmatrix}3 & 0 & -1\\2 & 3 & 0\\0 & 4& 1\end{bmatrix}$

asked Jul 18, 2013 by sreemathi.v

1 answer

Can I put k=1,2,3 ?

asked Jul 17, 2013 by stalinwebsite

1 answer

Find the equation of the plane passing through the points $(3,4,1)$ and $(0,1,0)$ and parallel to the line $\large\frac{x+3}{2}=\frac{y-3}{7}=\frac{z-2}{5}$

asked Jul 15, 2013 by sreemathi.v

1 answer

Evaluate: $ \int \limits_{-1}^{3/2} \; \left | x \sin \pi x \right | \; dx $

asked Apr 27, 2013 by meena.p

1 answer

A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.

asked Apr 22, 2013 by sreemathi.v

1 answer

The probability that a contractor will get a plumbing contract is $\large\frac{2}{3}$ and an electric contract is $\large\frac{4}{9}$.If the probability of getting at least one contract is $\large\frac{4}{5}$,find the probability that he will get both the contracts.

asked Apr 22, 2013 by sreemathi.v

0 answers

Construct the consumer price index number for 1990,taking 1989 as the base year and using simple average of price relative method for the following data :

asked Apr 22, 2013 by sreemathi.v

0 answers

Sample of polythene bags from a manufacturer are tested by a buyer for bursting pressure with the following data :

asked Apr 22, 2013 by sreemathi.v

1 answer

A psychologist had a random sample of 22 students.He grouped them into 11 pairs.In each pair,one student was taught by method A and other by method B and were examined after the completion of the course.The marks obtained by them are tabulated below :

asked Apr 22, 2013 by sreemathi.v

0 answers

A bag has 4 red and 5 black balls,a second bag has 3 red and 7 black balls.One ball is drawn from the first bag and two from the second.Find the probability that two balls are black and one is red.

asked Apr 19, 2013 by sreemathi.v

0 answers

A dice is tossed three times.Getting a '3' or a '5' is considered a success.Find the probability of at least two successes.

asked Apr 19, 2013 by sreemathi.v

1 answer

Page:

« prev
1
...
18
19
20
21
22
23
24
...
35
next »

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...