Explore topic-wise InterviewSolutions in Current Affairs.

Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case:
(i) 1156 (ii) 2025
(iii) 14641 (iv) 4761

Question 146(i)
The table shows the portion of some common materials that are recycled.
$\begin{array}{cc}\text{Material}& \text{Recycled}\\ \text{Paper}& \frac{5}{11}\\ \text{Aluminium cans}& \frac{5}{8}\\ \text{Glass}& \frac{2}{5}\\ \text{Scrap}& \frac{3}{4}\end{array}$
Is the rational number expressing the amount of paper recycled more than $\frac{1}{2}$ or less than $\frac{1}{2}$?

The size of a matchbox is 4 cm $\times$ 2.5 an $\times$ 1.5 cm. What is the volume of a packet containing 144 matchboxes? How many such packets can be placed In a carton of size $1.5m\times 84cm\times 60cm$?

What is the minimum arc radius that can be drawn during the construction of a perpendicular bisector, given that line segment has length L?

The median for the data is

$$\begin{array}{cccccccc}\text{IQ}& 60-70& 70-80& 80-90& 90-100& 100-110& 110-120& 120-130\\ \text{No. of pupils}& 2& 3& 5& 16& 14& 13& 7\end{array}$$

The data below shows the number of times of all outcomes of a dice. Find the frequency of getting a number greater than 2 but less than or equal to 5.

$\begin{array}{ccccccc}\text{Number on dice}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 10& 12& 6& 4& 8& 10\end{array}$

Find the rate of interest if $Rs.25,000$ amounts to $Rs.43,200$ in $3$ years, the interest being compounded annually.

To get 5/3 , by what number should 5/9 be divided

Find the multiplicative inverse of each of the complex numbers

$4-3i$

The factors of x^4 + y^4 + x^2y^2 are

Find the number of sides of a regular polygon ,the sum of whose interior angle is 1620

Find the square root of $237.615$ correct to the three places of decimals.

Write the 5th and 6th terms of triangular numbers. What square number do we get if we add these two numbers?Plz give the answer with details and step by step.

Find the largest number of 3 digits which is a perfect square

If $\frac{p}{q}$ is a rational number, then ___.

Add the following

2a+3b-4; 8a+10b+13

A two digit number with distinct digits is divisible by 3. What is maximum possible value of the sum of its digits?

If $x$ and $y$ are inversely proportional then find the value of $a$.

There is a parallelogram inside a circle such that all of its vertices lie on the circle. Which of the following can be true for the parallelogram in this case?

i) It can be a rhombus

ii) It can be a square

iii) It can be a rectangle

(iv) It can be trapezium

Which of the following is positive?

Question 13

Write the correct answer from the given four options.

Which of the following numbers is a perfect cube?

a) 243
b) 216
c) 392
d) 8640

The percentage of time spent in the gym by a person is: (Refer to the pie chart given below)

The side of a cube whose volume is $9261000m^3$ is

The amount of loan to be paid back if the borrowed sum is ₹ 10,000 , at a rate of 11% interest per annum under simple interest for a period of 3 years will be equal to

A container made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the milk which can completely fill the container at the rate of Rs. 15 per litre. (Take $\pi$= 3·14)

Find the exterior angle (in degree) of 8 sided regular polygon.

Plot the following ordered pairs (x, y) of numbers as points in the Cartesian plane.
$\begin{array}{cccccccc}x& -2& 0& -1& 2& 3& 5& -4\\ y& 5& 3& -3& -3& 0& -2& 4\end{array}$

Find all the subsets of each of the following sets :

(i) A = $\{5,7\}$

(ii)B= $\{a,b,c\}$

(iii)C= $\{x:x\in W,x\le 2\}$

(iv){ p:p is a letter in the word 'poor' }

Multiply (x + 1) and 2x:

The ratio 2:5 is equal to the percentage:

The price of a T.V. set inclusive of tax of 9% is Rs.13,407. Find its marked price. If tax is increased to 13%, how much more does the customer has to pay for the T.V. ?

Find the value of the following

5 raised to the power 2x+3= 1

The number of non-negative rational numbers between -5 and 5 are _______ .

What is the number of edges in a pyramid with pentagon as base?

If $x+\frac{1}{x}=11$ , then find $x^3+\frac{1}{x^3}$

What is the reflection of the given figure in y - axis?

If $\Delta ABC$ $\cong$ $\Delta DEF$ by S.S.S. congruence, then, which of the following options is correct?

The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS]

$\begin{array}{cc}\text{Language}& \text{No. of Students}\\ \text{Hindi}& 40\\ \text{English}& 12\\ \text{Marathi}& 9\\ \text{Tamil}& 7\\ \text{Bengali}& 4\\ \text{Total}& 72\end{array}$

$\text{Show that}527+752+275\text{is exactly divisible by 14.}$

A metal sheet of thickness 2cm was used to make a container of external dimensions $30cm\times 15cm\times 25cm$, which is open from the top. Find the volume of metal used.

Find the value of 'x' using the following figure.

If the rhombus has a perimeter of 28 cm then the length of its side is:

Q56. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball?

1. The box is a cube.

2. The surface area of the box is 600 cm².

Question 44

Fill in the blanks to make the statement true.

A transversal intersects two or more than two lines at ___ points.