Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?

V - Vanilla

C - Chocolate

M - Mango

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Find the C.I paid when a sum of ₹ 20,000 is taken for one year and six months at $5\%$ per annum compounded annually.

$\text{The given figure shows parallelogram ABCD.}\text{Points M and N lie in diagonal BD such that}DM=BN.$

$\text{Prove that :}\left(i\right)\Delta DMC=\Delta BNAandsoCM=AN\left(ii\right)\Delta AMD\cong \Delta CNBandsoAM=CN\left(iii\right)\text{ANCM is a parallelogram.}$

Which of the following numbers will not have 1 (one) at their unit's place :

(i) ${32}^2$ (ii) $({57}^2$

(iii) $({69}^2$ (iv) $({321}^2$

(v) ${265}^2$

The graph of y = a is

(a) the x - axis

(b) the y - axis

(c) a line parallel to y - axis

(d) a line parallel to x - axis

A person has money to buy 25 cycles worth Rs. 500 each.
How many cycles he will be able to buy if each cycle is costing Rs. 125 more ?

Question 65

State whether the following statement is true or false:

For every natural number $m$, $(2m-1,2m^2-2m$, $2m^2-2m+1$) is a pythagorean triplet.

Find the sum of the least and the highest frequency from the observation table shown below.

$$\begin{array}{ccccccc}\text{Dice}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 4& 7& 13& 9& 14& 6\end{array}$$

Three spheres of radii $3cm,4cm,5cm$ respectively are melted together to form a single solid sphere. Find the radius of the resulting sphere.

Evaluate :
$\sqrt[3]{33375}$

Using the formula $(a-b{)}^2=(a^2-2ab+b^2),$ Evaluate:
(i) $(196{)}^2$
(ii) $(689{)}^2$
(iii) $(891{)}^2$

Find the curved surface area and total surface area of a cylinder, the diameter of whose base is 7cm and height is 60cm.

$\begin{array}{cc}4A& \\ 4BA& \\ +AAB& \\ 1BBB& \end{array}$
A = ___; B = ___

Question 1 (i)
Find the squares of the following numbers:
32

A pipe of internal diameter 20cm from a canal is connected to a cylindrical tank of radius 5m and height 2m. If water flows through the pipe at 6km/hr, how much time will it take for the tank to be filled?

$3t>3$. Select the correct options.

A shopkeeper labelled the price of his articles so as to earn a profit of $30\%$ on the cost price. He, then sold the articles by offering a discount of $10\%$ on the labelled price. What is the actual percent profit earned in the deal?

Simplification of $(6x-2y{)}^2$ gives .

If $m$ is the cube root of $n$, then $n$ is

If the surface area of a cube is $1536c{m}^2$, then the length of the side of the cube is

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools :

How many teachers have teaching experience between 10 to 25 years?

Factorize: $x^2-10x+21$.

A container contains 65 litres of a mixture of milk and water mixed in the ratio of 10:3. How much water must be added to it so that the ratio of milk and water be 8:5?

What is the length of the largest square tile that can cover the whole floor of a room having length of 96 m and breadth of 50 m.

Factorise:

$1029-3x^3$

The compound interest on a certain sum of money at $5\%$ per annum for two years is ₹ 246. Calculate the simple interest on the same sum for three years at $6\%$ per annum.

To construct parallelogram ABCD given AB=6 cm, AD =3 cm and $\angle DAB={60}^{\circ }$, which of the properties of a parallelogram do we use?

Who discovered rational numbers? What are it's applications in our daily lives?

Find and correct the errors in the following mathematical statement, Substituting $x=-3$ in
$x^2+5x+4$ gives $(-3{)}^2+5(-3)+4=9+2+4=15$

Given that ( – 2) is a factor of 2³ – ² – – 2, factorize the expression completely.

A house owner was having his house painted. He was advised that he would require 30kg of paint. Allowing for 20% wastage and assuming that the paint is available in 3 kg cans, what would be the cost (in Rs.) of paint purchased, if one can was priced Rs.10?

From an India- Pakistan ODI series, we have a comparison of scores between Sachin Tendulkar and Inzamam-ul-haq.

$$\begin{array}{ccc}\text{ODI}& \text{Sachin Tendulka}r& \text{Inzamam-ul-haq}\\ \text{First}& 95& 55\\ \text{Second}& 104& 111\\ \text{Third}& 154& 126\\ \text{Fourth}& 23& 52\\ \text{Fifth}& 103& 109\end{array}$$

Who averages more in the ODI series and could probably get the man of the series award if the award is given to the person with highest average?

Find $\angle ABD$ in the parallelogram ABCD.

1. 2

Find the area of a quadrilateral whose diagonal is 50 m and perpendicular heights to the diagonal are 10 m and 20 m.

$\text{Steps of construction:}\text{Step 1: Draw a line segment AB=13 cm.}\text{Step 2: At A, construct an angle of}{45}^{\circ }\text{and at B construct an angle of}{90}^{\circ }.\text{Step 3 will be :}$

There is a chessboard whose area is 576 square units. What is the length of the side of an individual check box ?

Calculate the compound interest on a sum of ₹ 15000 in 1.5 years when interest is compounded half-yearly at the rate $20\%$ of per annum.

Factorise : $4x^2-81y^2$

Seven animals are standing in a horizontal row one behind the other. How do we find the position of an animal which is three positions in front of the last animal?

To get the interest of Rs 150, how much amount needs to be invested?

I had some money with me. I bought a heavy painting for some price, transported it to my house and sold it for some price. If I am calculating profit made, what will be the effective cost price?

The students of Class VIII of a school donated \(Rs.~2401\) in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Kushagra performed the following operations. Find the step in which he has gone wrong:
i. 4y + 3y - 2y = 10
ii. 2y + 3y = 10
iii. 5y = 10
iv. y = $5\times 10$ = 50