Explore topic-wise InterviewSolutions in Current Affairs.

Simplify the following:
$12+22÷11\times (18÷3{)}^2-10$

The compound interest calculated yearly for a certain sum of money for second year is Rs. 880 and Rs.968 for the third year. Calculate the rate of interest and sum of money.

What is the rational number represented by 'X' in the numberline given below?

Ambar took some loan from a bank for one year at the rate of 12.5% p.a. If he paid back Rs.13,500 to the bank at the end of one year, then what amount did he borrow?

268, 220, 368, 258, 242, 310, 272, 342

310, 290, 300, 320, 319, 304, 402, 318

406, 292, 354, 278, 210, 240, 330, 316,
406, 215, 258, 236.

In a trapezium, the sum of the angles on each non-parallel side is :

The Binomial expansion of $(1+x{)}^{-4}$ is valid only when:

Simplify :

$(x^{a+b}{)}^{a-b}.(x^{b+c}{)}^{b-c}.(x^{c+1}{)}^{c-a}$

The following pie-chart represents the marks scored by a student. If he scored 750 as total marks, then how many marks did he score in Hindi?

Factorise the expression $2x^3{b}^2-4x^5{b}^4$

Construct Parallelogram MORE OR = 6 cm, RE =4.5 cm, EO = 7.5 cm. [4 MARKS]

(a) In the given figure, prove that lines lm & nq are parallel to each other. [3 MARKS]

(b) What is the value of "x” if AB is parallel to CD in the figure?

A certain mixture contains gases according to the following proportions. Name the first two gases if they are arranged in the decreasing order of their proportion.

If $a+\frac{1}{a}=2$ , find $\frac{a^4+1}{a^2}$

$\text{Write the reciprocal (multiplicative inverse) of each rational number, given below}:\left(i\right)5\left(ii\right)-3\left(iii\right)\frac{5}{11}\left(iv\right)\frac{-7}{-8}\left(v\right)\frac{-7}{-8}\left(vi\right)\frac{15}{-17}$

Question 65

Solve the following:

$\frac{2x-1}{5}=\frac{3x+1}{3}$

Write the prime factorization of the following numbers and hence find their square roots.
(i) 7744 (ii) 9604
(iii) 5929 (iv) 7056

the area of a rhombus is 139.2 cm^2 and its altitude is 9.6 cm. Find the perimeter of the rhombus.

Question 54

State whether the following statement is true or false:

Each prime factor appears 3 times in its cube.

The value of $10\frac{1}{2}\times 16\frac{1}{5}$ calculated using binomial expansion is

1. 4

If $a+\frac{1}{a}$ = 4, the value of $a^3+\frac{1}{a^3}$ is equal to .

Question 34

Fill in the blanks to make the statement true.

A pentagonal prism has ___ faces.

5a-1 by 7a-3

I want this sum to be solved

Question 5 (iii)
Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

252

15/5+X=9/4

If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is :

Find the greatest number of two digits which is a perfect sqaure.

Which of the following could be the cube of 37?

Complete each of the following statements by means of one of those given in brackets against each :

(i) If one pair of opposite sides is equal and parallel, then the figure is ........

(parallelogram, rectangle, trapezium)

(ii) If in a quadrilateral only one pair of opposite sides is parallel, the quadrilateral is .......

(square, rectangle, trapezium)

(iii) A line is drawn from the mid-point of one side of a triangle ......, another side intersects the third side at its mid-point.

(perpendicular to, parallel to, to meet)

(iv) If one angle of a parallelogram is a right angle, then it is necessarily a ......

(rectangle, square, rhombus)

(v) The consecutive angle of a parallelogram is......

(supplementary, complementary)

(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ........

(rectangle, parallelogram, rhombus)

(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ...........

(parallelogram, rhombus, rectangle)

(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..........

(kite, rhombus, square)

$\text{In the given figure, ABCD is a}\text{parallelogram. From the given options,}\text{select the values of x and y.}$

Which of the following is divisible by 2?

Question 84 (iv)

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them

The smallest number by which 3645 must be multiplied so that it becomes perfect square is

The value of $(4096{)}^{{\left(\frac{1}{\sqrt{3}}\right)}^{(\sqrt{2}{)}^2}}$ is ___.

If the volume of a cube is 12167, then find the length of its sides through estimation. [3 MARKS]

Question 85 (ii)

Expand the following, using suitable identities.

$(x^{2}y-x{y}^2{)}^2$

The probability of an event E lies between

Pavan lives on the 16^th floor of a building. He came down 9 floors and collected his Maths textbook from his friend Karan. Later, he went up along with Karan to Goutham's house which is 12 floors above Karan's for group work. If Goutham lives on the topmost floor of the building, how many floors does the building have?

Expanded form of 412 =

Let
U = {x: x is a natural number and x ≤ 10}
$\text{A = {a: a is an even natural number and a < 10}}$

B = {b: b is a prime number and b ≤ 9}

Then A^I ∩ B^I is ______.

The total number of non-square natural numbers between ${16}^2$ and ${17}^2$ $=a\times b=c$. What is the value of $a$, $b$ and $c$ respectively?

Factorise : $2(x+2y{)}^2-5(x+2y)+2$

As Tom was standing inside the figure, Jack had to stand outside the figure. What is Jack's position with respect to the figure?