Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 (ii)
For which value(s) of $\lambda$ does the pair of linear equations $\lambda x+y={\lambda }^{2}andx+\lambda y=1$ have infinitely many solutions?

The surface area of a cube of edge 1.5 cm is

Sum of angles of a triangle is

Represent 3x = 2y - 2 in standard form ax + by + c =0 and find the values of a, b and c. Which options are correct?

Question 1
The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.

How many litres of water can it hold? $(1000c{m}^3=1l)[Assume\pi =\frac{22}{7}]$

Which of the following is/are quadratic surds?

Find the zero of 3x+1

Expand the following, using suitable identities: ${(-2x+5y-3z)}^2$.

Factorization of $x^2-6y+9-4z^2$ is equal to

Explain,by taking a suitable example,how the arithmetic mean alters by (i) adding a constant k to each term,(ii) subtracting a constant k from each them,(iii) multiplying each term by a constant k and (iv) dividing each term by a non-zero constant k.

The number of surfaces of a hollow cylindrical object is

(a) 1 (b) 2

(c) 3 (d) 4

The zeros of the polynomial $p\left(x\right)=2x^2+7x-4$ are
(a) $4,\frac{-1}{2}$
(b) $4,\frac{1}{2}$
(c) $-4,\frac{1}{2}$
(d) $-4,\frac{-1}{2}$

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is

Factorise
$64a^3-343$

Factorise
$a^3{x}^3-3a^{2}b{x}^2+3a{b}^{2}x-b^3$

From the figure, find

(i) Abscissa

(ii) Ordinate

(iii) Coordinates of point P

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A ladder 20 m long is placed against a vertical wall of height 10 metres. Find the distance between the foot of the ladder and the wall and also the inclination of the ladder with the ground.

Find the ratio of the areas of the incircle and circumcircle of a square.

The number of boys and girls in a class is in the ratio $7:5$. The number of boys is 8 more than the number of girls. What is the total class strength?

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent the statement. Also state whether for any solutions of this equation can X and Y take negative values.

2. Write the linear equation in two variables in the form as+by+c=0 by using the given values of a, b and c.

i. a=0, b=-3, c=1/6

ii. a=1/2, b=-1/3, c=1/6

If x/(b-c)(b+c-2a)=y/(c-a)(c+a-2b)=z/(a-b)(a+b-2c) then the value of x+y+z is

In the question, a pair of equations is given. You have to find out the values of x and y and choose the appropriate answer

I. 3a + 2b = 14

II. a + 4b = 13

Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.

The graph of the line x = 3 passes through the point

(a) (0, 3)

(b) (2, 3)

(c) (3, 2)

(d) none of these

The given figure shows a number line such that AB = BC = CD = DE = EF = FG, and VW = WX = XY = YZ.

What is the sum of the rational numbers denoted by points D and Y?

Prove that:

(i) $\frac{1}{1+x^{a-b}}+\frac{1}{1+x^{b-a}}=1$

(ii) $\frac{1}{1+x^{b-a}+x^{c-a}}+\frac{1}{1+x^{a-b}+x^{c-b}}+\frac{1}{1+x^{b-c}+x^{a-c}}=1$

In a right triangle ABC , right angled at C , the angle A is 4 times angle B. , then the measure of angle B is________

In a right isosceles triangle PQR right angled at Q, what are the angles of P and R?

In the given figure, if $l_1||l_{2}and{l}_3||l_4$, what is ${}^{\prime }{y}^{\prime }$ in terms of ${}^{\prime }{x}^{\prime }$?

Insert three rational numbers between 3\5 and 2\3.

If $n(\cup )=1000$, n(A) = 400, n(B) = 500 , $n(A\cap B)=100$, then $n(A^{{}^{\prime }}\cap B^{{}^{\prime }})$

The algebraic sum of the deviations of a set of n values from their mean is

Using the measurements given in the figure, the value of $tan\theta$ = _________.

Question 77 (iii)

From the following table determine if x and y are in direct proportion or not.

Find the values of y for which the distance between the points P (2, - 3) and Q (10, y) is 10 units

The following bar graph represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:

(i) What percentage of the total numbe students have their heights more than cm?
(ii) How many students in the class are in range of maximum height of the class?
(iii) The school wants to provide a partictilai type of tonic to each student below he height of 150 CM to improve his height the cost of the tonic for each student comes out to be Rs. 55, how much amount o money is required?
(iv) How many students are in the range shortest height of the class?
(v) State whether true or false:
(a) There are 9 students in the class whose heights are in the range of 155-159 cm.
(b) Maximum height (in cm) of a student the class is 17.
(c) There are 29 students in the class whose heights are in the range of 145-154 cm.
(d) Minimum height (in cm) of a student is the class is in the range of 140-144 cms.
(e)The number of students in the class havin their heights less than 150 cm is 12.
(f) There are 14 students each of whom has height more than 154 cm.

If the cylinder with height $2cm$ has a volume of $8\pi c{m}^3$ then, the radius of the cylinder is.

The angle between the bisectors of a linear pair of angles ∠AOC and ∠BOC is

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is

Unable to see 10th Std Option. Pls help solve 10th Std Chapter Shares and Dividends ...

A man wants to buy 62 Shares available at R 132 ( par value of Rs 100) 1) How much shud he invest 2) If the dividend is 7.5% what will be his annual income ?? 3) If he wants to increase his annual income by Rs 150 how many extra shares shud he buy ???

prove that

cotx.cot2x-cot2x.cot3x-cot3x.cotx=1

In the given figure, $tan\angle ACB$ = _______.

Factorize using Identity 27x³-135x²-225x-125.

Represent 2.35 in P/Q form.

Everyday Rohan rides his bicycle as part of his exercise. While travelling at a constant rate, he rides 5 miles in 25 minutes. At this rate , how long would it take Rohan to cycle 10 miles ?