Explore topic-wise InterviewSolutions in Current Affairs.

In the square root of $31,$ what is the integral part?

Factorize each of the following expressions :

axy + bcxy - az - bcz

Find the product of the
following pairs of monomials.

(i) 4, 7p (ii) −
4p, 7p (iii) − 4p, 7pq

(iv) 4p³,
− 3p (v) 4p, 0

The number of natural numbers between 15 and 20 is ___.

If $\left(1,0\right)$ is the midpoint of the line joining the points A $\left(-6,-5\right)$ and B, then the coordinates of B are

If principal $=Rs.100000$, rate of interest $=10\%$ compounded half-yearly. Find Amount after $6$ months.

From the given data, what can be said about the speed?

$\begin{array}{ccccccc}\text{Distance covered (in kms)}& 80& 100& 120& 140& 160& 180\\ \text{Time taken (in hrs)}& 4& 6& 8& 10& 12& 14\end{array}$

1. 5000

In the figure, if AB = CD and $\angle$ABO = ${35}^{\circ }$. What is the value of $\angle$DCO in degrees?

Show that

(i) (3x + 7)²
− 84x = (3x − 7)² (ii) (9p
− 5q)² + 180pq = (9p + 5q)²

(iii)

(iv) (4pq + 3q)²
− (4pq − 3q)² = 48pq²

(v) (a −
b) (a + b) + (b − c) (b
+ c) + (c − a) (c + a) = 0

Suppose ABC is a triangle and D is the midpoint of BC. Assume that the perpendiculars from D to AB and AC are of equal length. Prove that ABC is isosceles.

Which of the following statement is not correct regarding rational number?

Io, one of the satellites of Jupiter, has an orbital period of
1.769 days and the radius of the orbit is 4.22 × 10⁸
m. Show that the mass of Jupiter is about one-thousandth that of the
sun.

If the median of the following frequency distribution is 32.5, find the values of $f_1$ and $f_2$ $\begin{array}{ccccccccc}\text{Class}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70& \text{Total}\\ \text{interval}& & & & & & & & \\ \text{Frequency}& f_1& 5& 9& 12& f_2& 3& 2& 40\end{array}$

Match the following:

Given U is universal set.

A, B are subsets of U.

n(U), n(A), n(B) are the cardinal numbers of U, A and B respectively.

Number of:

Question 23

Fill in the blanks to make the statements true.

The number of triangles in the given figure is _________.

Also, their names are _________.

The given graph of linear function shows a relation between a player with his height.





The set of input and output values will be:

Construction of a unique quadrilateral is possible if we have minimum measurement of 3 sides and ___ included angles.

Construct an isosceles triangle whose altitude is 5 cm and vertex angle is 90°.

What is the perpendicular distance of the point Q (5, 7) from the y-axis?

Calculate following ratios from the following information:

(i) Current Ratio

(ii) Acid test Ratio

(iii) Operating Ratio

(iv) Gross Profit Ratio

$\begin{array}{cc}\text{Items}& \text{Rs.}\\ \text{Current Assets}& \text{35,000}\\ \text{Current Liabilities}& \text{17,500}\\ \text{Stock}& \text{15,000}\\ \text{Operating Expenses}& \text{20,000}\\ \text{Sales}& \text{60,000}\\ \text{Cost of Goods Sold}& \text{30,000}\end{array}$

The Pythagorean triplet whose one of the member is 16 is

John invested ₹ 25000 , Rafay ₹ 20000 and Usman ₹ 10000 to start a business together.

They got ₹ 2200 profit in a month which they divided in the ratio of their investments. How much did Rafay get ?

Write these exponential form.

(1) five to the power of four

(2) three to the power of two (three square)

(3) minus ten to the power of five

(4) one third to the power of three

(5) two cubed to the power of four

Question 2 (i)
Take any point O in the interior of a triangle PQR:
Is OP + OQ > PQ?

For a rectangle, which of the following statement is correct?

Factorize

$a^2-32ab-105b^2$

Choose the correct statement