Explore topic-wise InterviewSolutions in Current Affairs.

The value of ${\left(16\frac{1}{4}\right)}^2$ is equal to

Equation 0.5( 2x - 4) = 0.25 (8x - 4) is satisfied by

Expand the following, using suitable identities: ${(\frac{1}{4}a-\frac{1}{2}b+1)}^2$

The amount on Rs 5000 for 2 years at 10% per annum is:

Question 61

State whether the following statement is true or false:

Ratio of area of a circle to the area of a square whose side equals radius of circle, is $1:\pi$

Equivalent ratio of 7: 6 is :

The value of $10.6\times 9.4$ is equal to

A thin metal iron•sheet is rhombus in shape, with each side 10 m. If one of its diaginals is 16 m, find the cost of painting its both sides at the rate of Rs 6 per $m^2$. Also, find the distance between the opposite sides of this rhombus.

The number 5031 can be written in the following ways. Select all that apply.

Area of the shaded region in the figure shown above is

Factorise : $xy-ay-ax+a^2+bx-ab$

In the parallelogram ABCD, P is mid-point of AB. CP and BD intersect each other at point O. If the area of $\Delta$ POB = 40 $c{m}^2$, find the areas of $\Delta$ BOC and $\Delta$ PBC.

If A, B, C, D,......... Z represents numbers from 1, 2, 3,...... 26. Key can be anything from 1 to 25. For a key of 2, every letter shifts 2 places to right. A becomes C, Z becomes B and so on. If key is equal to 9, match the normal letters with encrypted letters.

$\begin{array}{cc}\text{Normal Letter}& \text{Encrypted Letter}\\ 1A& aY\\ 2F& bD\\ 3P& cO\\ 4U& dI\\ 5Z& eJ\end{array}$

0.00024 in standard form will be-

(a) 24×10^-5

(b) 2.4×10³

(c) 2.4×10^-4

(d) 24×10^-3

The angles of a pentagen are $x^{\circ },(x-10{)}^{\circ },(x+20{)}^{\circ },(2x-44{)}^{\circ }$ and $(2x-70{)}^{\circ }$, then x=___

Evaluate :

(i) $(6-xy)(6+xy)$

(ii) $(7x+\frac{2}{3}y)(7x-\frac{2}{3}y)$

(iii) $(\frac{a}{2b}+\frac{2b}{a})(\frac{a}{2b}-\frac{2b}{a})$

(iv) $(3x-\frac{1}{2y})(3x+\frac{1}{2y})$

(v) $(2a+3)(2a-3)(4a^2+9)$

(vi) $(a+bc)(a-bc)(a^2+b^2{c}^2)$

(vii) $(5x+8y)(3x+5y)$

(viii) $(7x+15y)(5x-4y)$

(ix) $(2a-3b)(3a+4b)$

(x) $(9a-7b)(3a-b)$

All three sides of a triangle are 4 inches long, it is a/an

Question 2 (iii)

The following number is obviously not a perfect square. Give reasons.

7928

Which of the numbers 726 and 938, when expressed as factors has greater power of 2?
[2 MARKS]

Making use of the cub e root table, find the cube root s of the (correct to three decimal places)
7342

Factorise :

$63a^2{b}^2-7$

What do we mean by simplest form of a fraction?

Question 13

In the following question out of the four options only one is correct, write the correct answer.

The digit in the ten's place of a two-digit number is 3 more than the digit in the unit's place. Let the digit at unit's place be b. Then, the number is:

(a)11b + 30

(b) 10b + 30

(c) 11b + 3

(d) 10b + 3

Question 180(iii)

Simplify

${\left(\frac{4}{13}\right)}^4\times {\left(\frac{13}{7}\right)}^2\times {\left(\frac{7}{4}\right)}^3$

b $\times$ (-1) = 47, find 'b'.

Question 92 (ii)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$4x^2-25y^2$

Question 75

Solve the following:

$m-\frac{m-1}{2}=1-\frac{m-2}{3}$

If $x\ne 0$ and $x+\frac{1}{2x}$ = 4, then find the value of $x^2+\frac{1}{4x^2}$

In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?

a) I buy milk of different quantities at the rate of Rs.30 per litre. Which graph do I use to represent the data if I plot quantity of milk purchased on one axis and total cost of purchase on another axis.

b) What is a linear graph? [3 MARKS]

Two parallel sides of a trapezium are 58 cm and 42 cm. The other two sides are of equal length which is 17cm. Find the area of the trapezium.

Question 60

In the following question, fill in the blanks to make the statements true.

The value of $[3^{-1}\times 4^{-1}{]}^2$ is ___ .

Solve the equation

5x+9=5+3x

The surface area of a cube is $384{\text{cm}}^2$. Find its volume.

Cube root of an even number is ___ .
Cube root of an odd number is ___ .

Question 37

Fill in the blank to make the statement true
$88880000000=\text{\_\_}=8888\times {10}^7$

Find the angles marked with a question mark shown in the figure.

$a^2-b^2$ is equal to
$\left(a\right)(a-b{)}^2$
$\left(b\right)(a-b)(a-b)$
$\left(c\right)(a-b)(a+b)$
$\left(d\right)(a+b)(a+b)$

When I make a loss on a sale, the relationship between selling price (SP) and cost price (CP) is

An algebraic fraction is being given as $4\times \left(\frac{(2-\frac{(m+n)}{(m-n)})}{\frac{(m-3n)}{(m-n)}}\right)$. What is the decimal value of this expression?

Question 6

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?
(a) Curved surface area of the cylinder will be doubled
(b) Curved surface area of the cylinder will remain unchanged
(c) Curved surface area of the cylinder will be halved
(d) Curved surface area will be $\frac{1}{4}$ of the original curved surface

Sharad started a business with an initial investment of 400000 rupees. In the first year he incurred a loss of 4% .however during the second year, he earned a profit of 5% which in third year rose to 10% . Calculate his net profit for the entire period of 3years.

Find the missing number x.

Question 2 (b)
Identify all the quadrilaterals that have:

(b) Four right angles.

Venn diagram representation of A - B for two sets A and B is