Explore topic-wise InterviewSolutions in Current Affairs.

Solve the equation $x+\frac{3}{2}=\frac{5}{2}$

The above pie chart represents the percentage of girls and boys in a college. If the red coloured portion represent boys and the total number of students is 16500, find the number of girls in the college.

Question 5

Which of the following is not a random experiment?

(a) Tossing a coin

(b) Rolling a dice

(c) Choosing a card from a deck of 52 cards

(d) Thowing a stone from a roof of a building

Solve the following equation :

$\frac{x+2}{9}=\frac{x+4}{11}$

If a number has 2 or 8 in the unit place, then its square ends in

Two coins are tossed once. Find the probability of

(i) Getting 2 heads

(ii) Getting at least 1 head

(iii) Getting no head

(iv) Getting 1 head and 1 tail

If (1,3k) lies on $kx+4y=26,$ the value of $k$ is

Two adjacent piano keys are struck simultaneously. The notes emitted by them have frequencies $n_1$ and $n_2$.The number of beats heard per second is

[CPMT 1974, 78; CBSE PMT 1993]

The perimeter of a rectangle is 10/3 cm and its width is 1/3 of its length. What is the length of the rectangle?

What are the points of intersection of the line CD with x-axis and y-axis respectively? Assume x axis to be horizontal and y axis to be vertical.

Among the two supplementary angles,the measure of the larger angle is 36° more than the measure of smaller. Find their measures

1. 2

The cube root of 8x27x125 is:

How would you define the given equation is simple equation? [1 MARK]

Diameter of a circular park is 14 m. Find the perimeter ($\pi$= 22/7)

Factorising and dividing $a^2+7a+10$ by $(a+5)$ gives:

Question 92 (xvii)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$\frac{1}{36}{a}^2{b}^2-\frac{16}{49}{b}^2{c}^2$

Sarita buys goods worth Rs. 5,500. She gets a rebate of $5\%$ on it. After getting the rebate if VAT at the rate of $5\%$ is charged, find the amount she will have to pay for the goods.

Find the value of $(x+y{)}^4$ using Pascal's triangle.

Arrange the height of 20 students in a grouped distribution table with a class interval of 5. The number of students whose height is below 170cm is ___

Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Multiply $-4x{y}^3$ and $6x^{2}y$ verify your result for $x=2$ and $y=1$.

Write the coefficient of:

$\left(i\right)abin7abx,\left(ii\right)7ain7abx;\left(iii\right)5x^{2}in5x^2-5x;\left(iv\right)8in{a}^2-8ax+a;\left(v\right)4xyin{x}^2-4xy+y^2.$

Factorise :

$\left(i\right)9x^3-6x^2+12x\left(ii\right)8x^2-72xy+12x\left(iii\right)18a^3{b}^3-27a^2{b}^3+36a^3{b}^2$

Simplify:
$(1.5x-4y)(1.5x+4y+3)-4.5x+12y$

The depth of the dam is 240 m. The pressure of water is

(Take g=10 m/s2, density of liquid= 1000 kg/m3)

$a^{\left(\frac{m}{n}\right)}$ can be written as:

In $\Delta$ABC, a perpendicular AD is brawn to BC. If BD= 8 cm, DC = 2 cm and AD= 4 cm, then ___.

Question 27
Fill in the blanks in the following table which represents shirt size of 40 students fo a school.

Question 112(ii)

In the given figure, show that
EF || GH

$\begin{array}{cc}AB& \\ \times 6& \\ BBB& \end{array}$
A= ___ ;B= ___

If we add 2 odd numbers we get an even number. Why? [2 MARKS]

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per $c{m}^2$ is __________.

Question 71(i)

It is given that l varies directly as m.
Write an equation which relates l and m.

Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

Question 18

Write the correct answer from the given four options.

Which of the following numbers is not a perfect cube?

a) 216
b) 567
c) 125
d) 343

If $(x+\frac{1}{x})=5$, then $(x^2+\frac{1}{x^2})=?$
(a) $25$
(b) $27$
(c) $23$
(d) $25\frac{1}{25}$

Question 96

Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, $\angle B={125}^{c}ircand\angle C={60}^{\circ }$.

The water in a rectangular reservoir has a base $80m\times 60m$ and is $6.5m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20cm$, if water runs through the pipe at the rate of $15km/hr$?

The surface area of a cube is $1176c{m}^2$. Find its volume.

Monil invests Rs 5600 at 14% p.a. compound interest for 2 years. Calculate:

i) the interest for the first year

ii) the amount at the end of the first year,

iii) the amount at the second year, correct to the nearest Re.

If y = f (x): A $\to$ B, then which of the following is true if f(x) is function in x.

(i) x must be able to take each and every value of A

(ii) one value of x must be related to one and only one value of y in set B.

Vasudevan invested ₹60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get after 6 months?