Explore topic-wise InterviewSolutions in Current Affairs.

From the given diagram, find :

$\left(i\right)A^{\prime }\left(ii\right)B^{\prime }\left(iii\right)A^{\prime }\cup B^{\prime }\left(iv\right)(A\cap B{)}^{\prime }$

$\text{Is}{A}^{\prime }\cup B^{\prime }=(A\cup B{)}^{\prime }?\text{Also, verify if}{A}^{\prime }\cap B^{\prime }=(A\cup B{)}^{\prime }.$

1A44 is divisible by 6, find the value of digit A

Factorise :

$\left(i\right)a^2-ab-3a+3b\left(ii\right)x^{2}y-x{y}^2+5x-5y\left(iii\right)a^2-ab(1-b)-b^3\left(iv\right)x{y}^2+(x-1)y-1\left(v\right)(ax+by{)}^2+(bx-ay{)}^2\left(vi\right)ab(x^2+y^2)-xy(a^2+b^2)\left(vii\right)m-1-(m-1{)}^2+am-a$

The mean of the following distribution is:

$$\begin{array}{ccccc}{x}_i& 10& 13& 16& 19\\ f_i& 2& 5& 7& 6\end{array}$$

If a prism is a regular polyhedron, its base must be?

The unit digit in the expansion of ${16}^3$ is

The given figure shows a square, an equilateral triangle and a regular hexagon put together. Which of the following statements is true?

1. 6

Which of the following points lie on the x-axis?

4 focus lights are to be fixed on a square aluminum plate with side length, l = 28 inch. Circles are cut in the plate to accommodate the lights. After the required alterations the aluminum plate looks similar to the figure shown. What would be the area of the aluminum plate after alterations?

The square root of 7.29 is ___ .

1. 2.7

The given polygon has 4 lines of symmetry and order of rotational symmetry is 4.

The adjacent sides of the polygon are not equal. Perimeter of the polygon is 24m. Given

one side length as 9 m, find the area of the polygon?

$66c{m}^3$ of silver is drawn into a wire $1mm$ in diameter. The length of the wire will be

(a) $78m$

(b) $84m$

(c) $96m$

(d) $108m$

Construct a quadrilateral ABCD in which AD=3.5 cm, AB=4.4 cm, BC=4.7 cm, $\angle A={125}^{\circ }$ and $\angle B={120}^{\circ }$

Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859

What is the least number of planes that can enclose a solid? What is the name of the solid?

Question 63

Find the value of k, where 31k2 is divisible by 6.

The perimeter of face of a cube is 20 cm. Find the volume of cube.

What is the least number by which 10125 should be divided so that the quotient is a perfect cube?

The angles of a triangle are in ratio 1:2:3. What are the angles?

Expand: $(p+8)(p-3)$

The table below shows the sale of shirts of various sizes in a week.

$\begin{array}{cccccc}\text{Shirt size}& 38& 39& 40& 41& 42\\ \text{Number sold}& 60& 73& 89& 90& 23\end{array}$

The size which is demanded the most is ___.

A shopkeeper purchased 200 bulbs for Rs 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs 12 each. Find the gain or loss $\%$. [4 MARKS]

The radii of the inner and outer circumferences of a circular -rinning -track are 63 m and 70 m respectively. Find:

(i) The area of the track

(ii) The difference between the lengths of the two circumference of the track

If $(2^{3x-1}+10)÷7=6$, then $x$ is equal to

(a) $-2$

(b) $0$

(c) $1$

(d) $2$

Applications were received for 10,000 shares and allotment was made pro-rata to the applicants of 8,000 shares, the remaining applications being refused. Money received in excess on the application was adjusted toward the amount due on allotment.

Rohit, to whom 300 shares were allotted failed to pay allotment and calls money, his shares were forfeited. Itika, who applied for 600 shares, failed to pay the two calls and her share were also forfeited. All these shares were sold to Kartika as fully paid for Rs.80 per share. Give journal entries in the books of the company

The number of students who have scored between 80-90 marks is

Factorise:

$50a^3-2a$

Find the square root of the number up to three decimal places:

I) 13

What is 8788 cubic foot

factorise x^3-13x^2-32x-20

State whether True or False.
A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.

We cannot construct a quadrilateral PQRS with PQ =6cm, QR = 5 cm, ∠P = 70^o, ∠Q = 150^o and the measurement of ∠R as

₹ 4000 amount to ₹ 5000 in 8 years. In what time will ₹ 1600 amount to ₹ 2400 at the same rate?

What will come in place of x, if square of a number is calculated by short-cut method as shown below?

Draw a Venn-diagram to show the re-lationship between two sets A and B ; such that $A\subseteq B$, Now shade the region representing :

(i) $A\cup B$

(ii) $B^{\prime }\cap A$

(iii) $A\cap B$

(iv) $(A\cup B{)}^{\prime }$

Find the H.C.F. of the expressions x² – 6x + 5 and x² – 8x + 15 by factorization.

1. 100

3(t-3)=5(3t+1)

Which of the following circles is a circle of triangular numbers ?

Very large numbers can be expressed in the standard form by using ______ exponents.

Points (1, -1), (2, -2), (-4, 5), (-3, -4) lie in which quadrant?