Explore topic-wise InterviewSolutions in Current Affairs.

Question 7 (ii)
Can two angles be supplementary if both of them are:
Obtuse

State at least two differences between a line and a line segment. [2 MARKS]

Question 12

Write the correct answer from the given four options.

The sum of first n odd natural numbers is

a) $2n+1$
b) $n^2$
c) $n^2-1$
d) $n^2+1$

The volume of river of width 10 m and depth 6m flowing at a speed of 2 km per hr in 1 min is .

A food item contains the ingredients of maida, water and sugar. If the ratio of maida and water is 7:5 and the ratio of water and sugar is 4:3, then what is the ratio of all three?

On dividing the quotient of $(a{b}^{2}pq÷2bp)$ , by $\frac{1}{2}$, what do we get?

The general form of a $\times$ 100 + b $\times$ 10 + c $\times$ 1 is ___

Question 97

Solve the following question:

Using prime factoristaion, find the cube roots of

a) 512
b) 2197

A twenty storied building was observed from outside, each floor has a kite shaped figure which gets on magnifying as observed from the $1^{st}$ to ${20}^{th}$ floor. The area of first five kites on each floor was calculated and they were found to develop a pattern. These five areas are ${10m}^2$, ${15m}^2$ , ${20m}^2$, ${25m}^2$, ${30m}^2$ and so on. The area of the kite on the top floor is ____.

What is the present age of my dad if he was 25 years old when I was born and I am now 18 years old.

$Ifx+\frac{1}{x}=20,\text{find the value of}{x}^2+\frac{1}{x^2}.$

Fill in the blanks :
(i) The product of two positive rational numbers is always___
(ii) The product of two negative rational numbers is always___
(iii) If two rational numbers have opposite signs then their product is always___
(iv) The reciprocal of a positive rational number is ___ and the reciprocal of a negative rational number is___
(v) Rational number 0 has___ reciprocal.
(vi) The product of a rational number and its reciprocal is ___
(vii) The numbers ___and ___are their own reciprocals.
(viii) If M is reciprocal on N,then the reciprocal of N is___

Factorise it:-

(n - 10)² + (10 - n)

$\text{If two adjacent sides of a rectangle}\text{measure}(2x^2+y)m\text{and}(x^2-y)m,\text{then find its perimeter.}$

Question 31

The discount on an item for sale is calculated on the ___

Which of the following number is the additive inverse of $\frac{7}{29}$?

In the monthly test ,your friend scored 96 marks and you scored 54. By what percent were your marks lower than that of your friend?

Remainder for $\frac{-13x^2+4x^3+2x-7}{x^2+3x-2}$

Express 1729 as the sum of cube of two numbers. [2 MARKS]

Compute the following difference

$(228\times 172)-(234\times 66)$

Without adding, find the sum of $1+3+5+7+9$

The modal class of the given data is

$$\begin{array}{cc}Class& Frequency\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

Find the cube root of 4096 .

Age of a man was ${\frac{2}{5}}^{th}$ of the age of the tree in his housing complex. The tree was 90 years old. If the man's age multiplied by a number $x$ equals 180, then find $x$.

The cost of diamond varies directly as the square of its weight. A diamond weighting 10 decigrams costs ₹ 8,000. If it breaks into two pieces whose weights are in the ratio 3 : 2, then the loss incurred (in rupees) is

Find the square root of 2025 by prime factorisation.

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:
243

If a fan has rotational symmetry of order 4, then how many blades does it have?

The angles of a quadrilateral are in the ratio 2:3:4:1.find the measure of each angle of quadrilateral.

Which of the following is not a quadrilateral ?

Find Q in the addition
$$\begin{array}{c}31Q\\ +1Q3\\ 501\end{array}$$

Question 12

If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be
(a) tripled (b) constant
(c) one-sixth (d) one-third

A pair of linear equations which has a unique solution $x=2,y=-3$ is

Total surface area of a cube is 600 sq cm. So the perimeter of each of its faces is ______.

Adjacent angles are supplementary in

The difference between the squares of two consecutive numbers is 31. Find the numbers. ?

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [$\pi =3.14$]

A man borrows Rs 8000 at 4% C.I. and repays Rs 400 at the end of every year. Find the loan outstanding in the beginning of the third year.

Given below are the entries in a saving bank a/c pass book:

Calculate the interest due till March 1998 at 6 % p.a.

The price of a television set inclusive of 9% sales tax is Rs.13,407.

If the sales tax is increased to 13%, how much more does the customer have to pay for the television?

$\text{Find the value of}(\sqrt{49}+\sqrt{0.49}+\sqrt{0.0049})\times \sqrt{10000}.$

In which of the following relation, $x$ and $y$ are not in proportion?

Factorise the expression:
$a{x}^2+b{y}^2+bxy+axy$