Explore topic-wise InterviewSolutions in Current Affairs.

What is the value of additive inverse of:
(i) $\frac{7}{8}$
(ii) $\frac{1}{2}$ [2 MARKS]

What are rational numbers

26x(-98)+(-98)x(-36)

Question 110(i)

In the given figure, examine whether the following pairs of lines are parallel or not.
EF and GH

Find the greatest negative integer.

A water Tank has steps inside it.A monkey is sitting in the top most step.water level is at 9th step.He jumps 3 steps down and then 2 steps up In how many jumps will he reach the water level ??

With sufficient ammo loaded, Tom managed to overpower his combatant and got the next clue and exited The Architecture.

Following the clue, Tom reached a particular structure called Exponere Quattuor. He had to go inside this structure for which he had to get past the entry.A commando was guarding the entry. Tom got a message from his spies that the only way to get past the commando is to give him the code which was – the minimum value of x (integer) for which $3^2<(-3{)}^x$.

The code Tom gave was ____ [Enter a numerical value].

Find the probability of getting a head when a coin is tossed in air.

Question 2 (a)
You want to show that $\Delta ART\cong \Delta PEN$
If you have to use SSS criterion, then you need to show:
i) AR = (ii) RT = (iii) AT=

Explain simple and complex fractions with proper examples

Q39) Match the following:

​

3+√7/3-√7=a+b√7

To make a cake we use 200 g sugar, 200 g butter, 100 g egg yolk, 200 g flour, and 100 g milk. What percentage of butter is present in the cake?

Which of the following should be the FOURTH sentence after rearrangement?

In a marathon of 5 km, Manish can run for 2 km. If Manoj ran for $\frac{1}{2}$ of the total length of the marathon, who covered more distance?

If a line is divided into 2 parts with the lengths of larger one and smaller one as "a" and " b" respectively. Then ,

which of the following must be true to get the golden ratio 1.618 ?

a) $\frac{a+b}{a}=\frac{b}{a}$

b) $\frac{a+b}{a}=\frac{a}{b}$

c) $\frac{ab+b}{a}=\frac{b}{a}$

d) $\frac{a+b}{a}=\frac{ab}{a}$

$\begin{array}{cc}Colours& No.ofpeople\\ Blue& 18\\ Green& 9\\ Red& 6\\ Yellow& 3\\ Total& 36\end{array}$

Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour.
[3 MARKS]

A pyramid has_____ faces.

3*(-8)*5

Find each of the following product

Simplifying $4^{-2}+4^{-1}+4^0+4^2$ gives

If the radius of a circle is 6.5 cm, then the measure of the longest chord of the circle is ___.

The following graph gives earnings of Mr. X on different days.On which pair of days was the average earnings the highest?

How many perpendicular bisectors can be drawn for a line segment?

The order of the rotational symmetry of the given image is ___ .

Question 3 (i)
The relative humidity (in %) of a certain city for a month of 30 days was asfollows:
$\begin{array}{cccccccccc}98.1& 98.6& 99.2& 90.3& 86.5& 95.3& 92.9& 96.3& 94.2& 95.1\\ 89.2& 92.3& 97.1& 93.5& 92.7& 95.1& 97.2& 93.3& 95.2& 97.3\\ 96.2& 92.1& 84.9& 90.2& 95.7& 98.3& 97.3& 96.1& 92.1& 89\end{array}$
(i) Construct a grouped frequency distribution table with classes
84 - 86, 86 - 88,etc.

The number of doctors in a village during the last 4 decades is given in the table. Determine the range of the number of doctors in the village.
$\begin{array}{cc}Year& Population\\ 1960& 68000\\ 1970& 85000\\ 1980& 105000\\ 1990& 135000\end{array}$

The cardinal number of the set A = {Present Prime minister of India} is

It is Maggie, Kate and Sam's sports day. They all have participated in a race. All of them run around a circular track and they complete 1 revolution in 2, 4 and 6 hours respectively. When will they all meet at the starting point?

For a non-zero rational number $x$, $x^8÷x^2$ is equal to

(a) $x^4$
(b) $x^6$
(c) $x^{10}$
(d) $x^{16}$

What is ${20}^3$ - ${19}^3$?

Question 49

State whether the statement given is True or False.

If we add a monomial and binomial, then answer can never be a monomial.

In the given figure, AB||CD and if $\angle$CFE=${90}^{\circ }$ , then $\angle$FEB=___ degree.

Question 1(a)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expression.

$17=x+7$

Question 16

Fill in the blanks to make the statement true.

The standard form of$\frac{18}{-24}$ is ___ .

Question 57 (h)

Add the following expression:

$a^2+3ab-bc,b^2+3bc-caand{c}^2+3ca-ab$

Which of the following statements are not correct?

a) The sum of any two sides of a triangle is greater than the third side.
b) A triangle can have all its angles acute.
c) A right-angled triangle cannot be equilateral.
d) The difference of any two sides of a triangle is greater than the third side.

Question 84 (a)

Simplify and express each fo the following in exponential form.
$[{\left(\frac{3}{7}\right)}^4\times {\left(\frac{3}{7}\right)}^5]÷{\left(\frac{3}{7}\right)}^7$

In triangle PQR, PR = 8 cm, QR = 8 cm and PL = 5 cm. Find the area of triangle PQR.

Find the value of n, if

$(\frac{5}{3}{)}^{2n+1}\times (\frac{5}{3}{)}^5=(\frac{5}{3}{)}^{n+2}.$

$5\frac{5}{3}+7\frac{5}{2}$ = ____

Which of the following is correct histogram for the given data?

After returning from your uncle's place, you were watering the garden and remembered the area of the garden which you had calculated a few days ago. It was 3600 cm². You wanted to find it in m², which is ______.

(a) Write the statement of the following equations. [4 MARKS]

i) $7x+4=46$

ii) $\frac{5x+4}{6}=13$

(b) Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.

In the figure below,
$x={30}^{\circ }$.
Find the value of (6y – 3x).