Explore topic-wise InterviewSolutions in Current Affairs.

1. 45

Refer to the figure: DE is parallel to BC.

$Find\frac{AD}{DB}$.

In $8$ days, the earth picks up $(6.4\times {10}^7)kg$ of dust from the atmosphere. How much dust will it pick up in $15$ days?

Question 27

Factorise the following:



$\left(i\right)9x^2–12x+3$



$\left(ii\right)9x^2–12x+4$

Question 17
The reciprocal of -1 is
(a) 1
(b) –1
(c) 0
(d) Not defined

In the given figure, if $A_1$ is the area of the $\Delta AOB$ and $A_2$ is the area of the parabolic region $AOB$ then the ratio $\frac{A_1}{A_2}$ is equal to

Number of workshops organized by a school in different areas during the last five years is as follows:

$\begin{array}{cc}\text{Years}& \text{No.of workshops}\\ 1995-1996& 25\\ 1996-1997& 30\\ 1997-1998& 42\\ 1998-1999& 50\\ 1999-2000& 65\end{array}$
Draw a histogram representing the above data.

The volume of a cuboidal box is 48 cm^3. If its height and length are 3 cm and 4 cm respectively, find its breadth.

The solution for the following pair of equations

$y=2+5x$ and $y+3x=10$ is

The median of the distribution given below is 14.4. Find the values of x and y, if the total frequency is 20.

Class interval: 0-6 6-12 12-18 18-24 24-30

Frequency: 4 x 5 y 1

Choose the pair which forms an identity.

A shopkeeper buys 200 bicycles at ₹1200 per bicycle . He spends ₹30 per bicycle on transportation. He also spends ₹4000 on advertising. Then he sells all the bicycles at ₹1350 per piece. Find his profit or loss. Also calculate it as a percentage

How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5, assuming that:

(i) repetition of the digits is allowed?

(ii) repetition of the digits is not allowed?

The perimeter of a pentagon with equal sides is 65 centimetres. What is the length of each side?

1. 11

Which combination of equivalent fractions do these two figures imply?

Question 3

A circle of maximum possible size is cut from a square sheet of board. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be the area of the final square?
(a) $\frac{3}{4}$ of original square (b) $\frac{1}{2}$ of original square
(c) $\frac{1}{4}$ of original square (d) $\frac{2}{3}$ of original square

Perimeter of a square with side 1 m is:

In the square carpet below, find the area of the orange region.

For the given pair of linear equations,

$a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$.

The values of x and y are given by:

The angle subtended by a diameter at any point on the circumference of the circle is

Question 27

In a throw of a die, the probability of getting the number 7 is:

(a) $\frac{1}{2}$

(b) $\frac{1}{6}$

(c) 1

(d) 0

If A is a subset of B, then A - B is ___.

What is the first three digits in the square of 135?

For the function, $f\left(x\right)=3x^2$, choose the appropriate pairs:

Th square of 98 is equal to

Which of the following substitution can convert given equations into linear equations with two variables?

$\frac{(x+y{)}^2}{x^{2}y+x{y}^2}=2;\frac{x^2-y^2}{x^{2}y+x{y}^2}=6$

Jaya has a certain number of word problems with her. She can solve some fixed number of problems every hour. After solving for 6 hours, she is left with 384 problems. If she had kept solving for 12 hours, she would have been left with 144 problems. Find the number of word problems Jaya is left with after 8 hours of solving.

A wire, when bent in the form of a square, encloses an area of 484 cm2. Find :

(i) one side of the square

(ii) length of the wire

(iii) the largest area enclosed, if the same wire is bent to form a circle.

Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum.They use different lenghts of the pendulum and record time for different number of oscillations.The observations are shown in the table.Least count for length = 0.1cm, Least count for time = 0.1s

$\begin{array}{ccccc}\text{Student}& \text{Length of the pendulum(cm)}& \text{Number of oscillations(n)}& \text{Total time for (n) oscillation(s)}& \text{Time period(s)}\\ \text{I}& 64.0& 8& 128.0& 16.0\\ \text{II}& 64.0& 4& 64.0& 16.0\\ \text{III}& 20.0& 4& 36.0& 9.0\end{array}$

If $E_I$, $E_{II}$ and $E_{III}$ are the percentage errors in g, i.e. $(\frac{△g}{g}\times 100)$ for student I, II and III, respectively, t = $2\pi \sqrt{\frac{l}{g}}$ , then

1. 6

Question 125

Water flows from a tank with a rectangular base measuring $80cm\times 70cm$ into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?

Question 2 (ii)

The following number is obviously not a perfect square. Give reasons.

23453

Simplify:

$2[6+4\{m-6(7-\overline{n+p})+q\}]$