Explore topic-wise InterviewSolutions in Current Affairs.

By what number should 216 be divided so that the quotient is a perfect square

Simplify $\frac{2^7\times 3^5\times 5^4}{6^5}$

Factorise $15(2x-y{)}^2-16(2x-y)-15)$

The number of members in the 22 families in Bhilar are as follows:
1, 1, 2, 2, 4, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 3, 3, 5, 5, 6, 7, 6. Prepare the frequency table.

1. 122

Construct $\Delta$PQR with QR = 6.5 cm, PQ= 5.5 cm, PR = 5 cm. Draw the incircle of $\Delta$PQR and find its radius.

If 1.5x=0.04y then the value of y-x/y+x is?

Simplify and solve the following linear equation

3(5z_7)_2(9z_11)=4(8z_13)_17

It is given that $3a+2b=5c,$ then find the value of $27a^3+8b^3-125c^3$ if $abc=0.$

The perimetre of a rectangle swimming pool is 154 metre. It's length is 2 metre more than twice it's breath. What are the length and breadth of the pool ?

A number divided by 27 gives 39. What is the number?

In the adjoining figure, the measure of angle a is 50^o, what is the measure of angle d?

The square root of 123454321 is ______ .

For a parallelogram, which of the following statements is true?

95% of the students have passed in a board exam. Find the number of students who failed in the exam if altogether 5400 students appeared for the exam.

A parallelogram is constructed and named KLMN. LP is perpendicular to KL and ML is the angular bisector of $\angle KLP$. Find the value of $\angle KNM$.

How many circles can be drawn passing through 3 non-collinear points ?

The result obtained on subtracting the product of 2x and (x - 3y) from (5x + 3y) and (2y + 1) is ____.

The table below contains different sports and the number of people who like each sport.
$\begin{array}{cc}\text{Sports}& \text{Number of Entries}\\ \text{Football}& \text{10}\\ \text{Badminton}& \text{11}\\ \text{Volley Ball}& \text{15}\\ \text{Cricket}& \text{25}\\ \text{Basket Ball}& 20\end{array}$
What is the sum of the frequencies of volleyball and football?

Which of the given region represents $b^2$?

Which of the following is an expansion of the identity ${(a–b)}^3$?

A student was tested on 100 true or false questions. The number of questions whose answers were true was 59. Find the probability that a question’s answer is false.

A vessel containing 5 litres of a gas at 0.8 m of Hg pressure is connected to an evacuated vessel of volume 3 litres. The resultant pressure inside will be (assuming whole system to be isolated)

The difference between two numbers is $18.$ If their sum is $86,$ what are the numbers?

Which of the following is the perfect square.

Data can be?

The figure ABCD is a quadrilateral in which AB is parallel and equal to CD and BC is parallel and equal to AD. Its area is

To construct a rhombus ABCD given AB=4 cm and $\angle B={120}^{\circ }$, which of the following properties of rhombus do we use?

The difference of cube of 3 and cube of 2 is

The lenght of a room is 50./. More then its breadth The cost of carpaiting The room at The rate of rs38.50m2.is rs 924 and The cost of painting The walls at The rate of rs 5.50per m2 is equal to rs 1320 find The dimensions of The room?

A can do a piece of work in 10 days; B in 18 days; and A, B and C together in 4 days. In what time would C alone do it?

Construct a triangle ABC, in which $\angle$B = ${60}^{\circ }$, $\angle$C = ${60}^{\circ }$ and AB + BC+ CA = 18 cm. What type of triangle is this? Find the length of each side by calculation. Verify the calculation from the construction. [4 MARKS]

Question 38

If the diagonal d of a quadrilateral is doubled and the heights $h_1$ and $h_2$ falling on d are halved, then the area of quadrilateral is ___.

The capacity of a soda container can be calculated using the formula.

Question 1 (vi)
What will be the unit digit of the squares of the following number:

26387

Aman started a factory with an initial investment of Rs. 100000. In the first year, he incurred a loss of $5\%$. However, during the second year, he earned a profit of $10\%$ which in the third year rose to $12\%$. Calculate his net profit for the entire period of three years.

Factorise:
$121a^2-88ab+16b^2$

Evaluate the following product using the specific formula.

$(x+\frac{1}{4})(x+4)$

Question 37
For rational numbers $\frac{a}{b},\frac{c}{d}$ and $\frac{e}{f}$, we have $\frac{a}{b}\times (\frac{c}{d}+\frac{e}{f})=$ ___ + ____

An article was sold for $Rs.458$ with a discount of $Rs.35$. Find its marked price.