Explore topic-wise InterviewSolutions in Current Affairs.

Give the geometric interpretation of 5x+3=3x-7 as an equation (i) in one variable (ii) in two variable

Factorise: ax²(4a²-3b)x - 12ab

If EB is the angle bisector of ∠ABD and BD = BC = 5 cm, find DC.

(4+√5)/(4-√5)+(4-√5)/(4+√5)

Two dice are thrown simultaneously. The probability of getting a multiple of 3 as the sum is

Factorize: $25x^2-90xy+81y^2$

Geeta’s age is 3 years more than thrice m, the age of Meeta. Write an equation of first degree to display this information.

Factorise: $(p^2+q^2-r^2{)}^2-4p^2{q}^2$

$CD\perp AB$ and $AE\perp BC$. Ram and Rajat were trying to calculate the area of this triangle. Ram took AB as the base while Rajat took BC as the base.
Match the following:

a) Ram’s area 1) $\frac{1}{2}$ $\times$ AB $\times$ AE
b) Rajat's area 2) $\frac{1}{2}$ $\times$ AB $\times$ CD
3) $\frac{1}{2}$ $\times$ BC $\times$ AE
4) $\frac{1}{2}$ $\times$ BC $\times$ CD

a) ___
b) ___

$\text{if}{A}_n=\left[\begin{array}{cc}{2}^{-n}& 4\\ 3^{-n}& 3\end{array}\right],\text{then}{\sum }_{n=1}^{\infty }|A_n|=$

Four curves i.e.
a) $y=x^3$
b) $y=x^7$
c) $y=x^2$ and
d) $y=x^6$
are depicted in the following graph.

Which polynomial is represented by Graph 4?

If (2k - 1, k) is a solution of the equation 10x - 9y = 12, then k =

Factorise:
$(\frac{25}{4}{x}^2-\frac{1}{9}{y}^2)$

Give the equations of two lines passing through (3, 12) . How many more such lines are there, and why?

In the given figure, ABCD is a rhombus. Then,

(a) $A{C}^2+B{D}^2=A{B}^2$

(b) $A{C}^2+B{D}^2=2A{B}^2$

(c) $A{C}^2+B{D}^2=4A{B}^2$

(d) $2(A{C}^2+B{D}^2)=3A{B}^2$

Fill in the blanks :

(i) All points lying inside / outside a circle are called ___ points / ___ points.

(ii) Circles having the same centre and different radii are called ___ circles.

(iii) A point whose distance from the centre of a circle is greater than radius lies in ___ of the circle.

(iv) A continuous piece of a circle is ___ of the circle.

(v) The longest chord of a circle is a ___ of the circle.

(vi) An arc is a ___ when its ends are the ends of a diameter.

(vii) Segment of a circle is the region between an arc and ___ of the circle.

(viii) A circle divides the plane, on which it lies, in ___ parts.

Question 23

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of$(7^{-1}-8^{-1}{)}^{-1}-(3^{-1}-4^{-1}{)}^{-1}$:
(a) 44
(b) 56
(c) 68
(d) 12

Which of the following is irrational?

Three similar coins were tossed simultaneously 500 times and the frequency distribution of heads obtained on each toss is as below.

$$\begin{array}{ccccc}\text{Number of heads}& 0& 1& 2& 3\\ \text{Frequency}& 60& 175& 200& 65\end{array}$$

Find the probability of (i) getting all three heads;

(ii) getting an odd number of heads. [2 MARKS]

Two complementary angles are in the ratio 4 : 5. Find the angles.

Find two irrational numbers between 0.5 and 0.55.

Is 2t+1 a factor of 4$t^3$+4$t^2$-t-1?

Solve [√4/√3]^x+1 = 81/256

Find 24 rational numbers between 0 and 0.1

If a and b are rational numbers, find the values of a and b in the following equality

5+2√3 ÷7+4 √3 = a + b √ 3

$\sum f_i{x}_i$ = 10$x$ + 40, $\sum f_i$ = 12. If the mean of the distribution is 60, what is the value of $x$?

If an isosceles right angle triangle has an area of 16 square cm then find length of the hypotenuse

If A={1,2,3,4,5,6}, B={1,2}, then A - (A - B) is equal to

To construct the triangle which one of the following is useful?

Which of the following collections is not a set?

Water flows out through a circular pipe whose internal diameter is 2cm ,at the rate of 6 metres per second into a cylindrical tank. The radius of whose base is 60cm. Find the rise in the level of water in 30minutes.

The diameter of the base of the cylinder if the curved surface area of a right circular cylinder of height 14 cm is132 cm² is

In a cylinder, if the radius is doubled and the height is halved. The curved surface area will be:

What percent of seats of the Panchayat is reserved for women?

PQRS is a cyclic quadrilateral. If $\angle Q=\angle R={65}^{\circ },$ then find $\angle P$= ___ and $\angle S$ = __.

If twice the sum of 5 consecutive odd numbers and thrice the sum of 4 consecutive even numbers is 178 and thrice the sum of 5 consecutive odd numbers and twice the sum of 4 consecutive even numbers is 177, then find the biggest odd number.

The factors of x square + 4 y square + 4y - 4xy - 2x minus 8 are

Cost of 6 kg of rice is Rs. 72. What will be the cost of 1 kg of wheat?

A producer blends two varieties of tea from two different tea gardens. One costing Rs. 15/kg and another costing Rs. 20 /kg in the ratio of 7: 3. He sells the blended variety at Rs. 18.15/ kg. Determine his profit/ loss percentage.

The base of radii of 2 right circular cone of same height are in the ratio of 3:5. Find the ratio of volume