Explore topic-wise InterviewSolutions in Current Affairs.

36a²b⁵c³ - 49a²bc = ______

The product of two numbers is 1296. If one number is 16 times the other, then the two numbers are

If f(t)=4t²-3t+6,find f(4),f(5)

Surface area of the four walls of a cube is given by:

If $A+B=5$ and $AB=6$. Find $A^3+B^3$.

The profits of a firm for the year ended ${31}^{st}$ March for the last five years were as follows:

$\begin{array}{cc}\text{Year}& \text{Profit (in Rs)}\\ 1999& 20,000\\ 2000& 24,000\\ 2001& 30,000\\ 2002& 25,000\\ 2003& 18,000\end{array}$

Calculate the value of goodwill on the basis of $3$ year's purchase of weighted average profit after weights $1,2,3,4$ and $5$ respectively.

In the given figure, sides AB and CD of the quadrilateral ABCD are produced. Then the value of x is

From the given information, calculate the following:

(i) Cost of revenue from operations.

(ii) Opening and closing inventory.

(iii) Quick assets.

(iv) Current assets.

Information :

Inventory turnover ratio 6 times, inventory at the end is Rs 6,000 more than the inventory in the beginning, revenue from operation (all credits) Rs 2,40,000 ,Gross profit 25$\%$ on cost, current liabilities Rs 80,000, quick ratio 0.80 : 1.

A trader buys some goods for Rs 12,000 and sells them for Rs.15,000. If the rate of tax under VAT is 12%, find the VAT paid by the trader ?

In a factory 70% of the workers like oranges and 64% likes apples. The maximum Percentage of people who like both fruits is

__ %

By selling an article for Rs. 900; a man gains 20%. Find his cost price and the gain.

The ratio of Vimal’s age and Arun’s age is 3:5 and sum of their ages is 80 years. The ratio of their ages after 10 years will be

The length of a rectangle exceeds the breadth by 6cm.If the length is increased by 3cm and breadth decreased by 2cm the area is the same.Find length and breadth of the rectangle.

Calculate the C.I. to be paid when a sum of ₹20,000 is taken for one year at 10% per annum compounded semi annually.

A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all Rs. 1,296.

Factorise:

$x^3-2x^{2}y+3x{y}^2-6y^3$

Question 20
If y is the reciprocal of rational number x, then the reciprocal of y will be
(a) x
(b) y
(c) $\frac{x}{y}$
(d) $\frac{y}{x}$

Construct a quadrilateral ABCD in which AB = BC = 3.5 cm, AD = CD = 5.2 cm and $\angle ABC={120}^{\circ }$.

The sides of a rectangle are in the ratio 2 : 3 and its perimeter is 20 cm. Draw the rectangle.

How many faces are there in a cube (i) cube (ii) pentagonal prism (iii) tetrahedron (iv) pentagonal pyramid?

If $a+b+c=15$ and $a^2+b^2+c^2=83$ then find the value of $a^3+b^3+c^3-3abc$

$\text{If}35\%\text{of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be}$

(a) ${108}^{\circ }$ (b) ${115}^{\circ }$

(c) ${126}^{\circ }$ (d) ${135}^{\circ }$

A bus passes two consecutive milestones in 1 minute .Find the speed of the bus

A product is updated with 20% VAT after a cost price of ₹ 500. Find the bill to be paid in ___ .

Regarding two new committees set up by the Ministry of Finance – Tax Policy Council (TPC) and Tax Policy Research Unit (TPRU) which of the statement is incorrect

If a^2+b^2+c^2=2a-2b-2, then the value of 3a-2b+c is?

What is parameter ?

A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm-thick wood. Find the capacity of the box and its weight if $100c{m}^3$ of wood weighs 8 g.

Factorize each of the following expressions :

2ax + bx + 2ay + by

Rekha deposited Rs. 16000 in a foreign bank which pays interest at the rate of $20\%$ per annum compounded quarterly, find the interest received by Rekha after one year.

Which of the following nmbers are not perfect cubes?
(i) 64 (ii) 216 (iii) 243 (iv) 1728

Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=[-\frac{1}{4}\times \frac{2}{3}]+[-\frac{1}{4}\times \left(\frac{-4}{7}\right)]$
(b) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=[\frac{1}{4}\times \frac{2}{3}]-\left(\frac{-4}{7}\right)$
(c) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=\frac{2}{3}+(-\frac{1}{4})\times \frac{-4}{7}$
(d) $-\frac{1}{4}\times \{\frac{2}{3}+\left(\frac{-4}{7}\right)\}=\{\frac{2}{3}+\left(\frac{-4}{7}\right)\}-\frac{1}{4}$

Question 117

Solve the following question:

Find the area of a square field, if its perimeter is 96 m.

Question 84 (ii)

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.

Radhika’s mother gave her Rs.10.50 and her father gave her Rs.15.80. Find the total amount given to Radhika by the parents.

If the exports of company B in 1995 were Rs. 2.19 crore, what were the imports (in Rs.) of company B in the same year?

$\frac{4}{16}+\frac{2}{5}$= ____

25% of 32 is:

Complete the following mathematical statement.
5y + 2y + y - 7y =

The figure below shows a pair of parallel lines being cut by a transversal. If the value of $\angle 5$ is ${67}^{\circ }$, find the value of $\angle 4$.

In a triangle ABC, angle A =110° and AB=AC , find angle B and angle C

Factorise : $a^2-3a-40$

What should be multiplied with $a^3$ $b^2$ to make it a perfect cube? Given 'a' and 'b' are prime numbers.