Explore topic-wise InterviewSolutions in Current Affairs.

3x - 6 = 6, the value of x is ___

Find the value of the expression

$(64x^2+81y^2+144xy)$ when $x=11$ and $y=\frac{4}{3}$

Solve each of the following equations and also verify your solution :

$\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=13$

Find each of the following products:

$(7x+2y)\times (x+4y)$

Convert the following percentages to fractions and ratios:

(i)25% (ii)2.5% (iii)0.25% (iv)0.3% (v)125%

Find the cost of plastering the inner surface of a well at Rs 9.50 per $m^2,$ if it is 21m deep and diameter of its top is 6m.

What is value of 500 Mg in kilogram?

The angles in pie-chart is divided in the ratio 20:10:40:30( A:B:C:D) .Find the corresponding central angles.

A broker charges a man 100% commission for renting a flat in a city. The rent of the flat is Rs. 5000. The broker gets a commission of Rs. ___ .

One third of the herd of cows are grazing in the field,20 less than half of them are near river. The remaining 35 are tied with trees . Find the total number of cows in the herd.

Labourer is engaged for 20 days on the condition that he will receive rupees 120 for each day he works and he will be fined rupees 10 for each day he is absent if he receives rupees 1880 in all for how many days did he remain absent

How many non-perfect square numbers are there between the squares of 20 and 21?

Mr. Mishra has a savings bank account in Allahabad bank. His pass book entries are as follows:

Rate of interest paid by bank is 4.5 % per annum. Mr. Mishra closes his account on 30th Oct. Find the interest he receives.

There is a square park in the society. What is the cost of laying bricks in the field at Rs.10 / m² if the length of 1 side is 7 m?

Perimeter of a rectangle with length 4 cm and breadth 3 cm is:

Match the following:

$$\begin{array}{cc}\text{a. Interior angles on the same side of the transversal}& \text{(i) 1 – 5, 2 – 6, 3 – 7 and 4 – 8}\\ \text{b. Alternate exterior angles}& \text{(ii) 4 – 6, 3 – 5}\\ \text{c. Corresponding angles}& \text{(iii) 1 – 7, 2 – 8}\\ \text{d. Alternate interior angles}& \text{(iv) 3 – 6, 4 - 5}\end{array}$$

Which of the given options represents the exponential form of $\frac{1}{8}\times (3{)}^{-3}$ ?

A shopkeeper sold two bats at ₹6000 each. He makes a profit of $10\%$ on one bat and a loss of $5\%$ on the other bat. Find his overall profit or loss.

If $3x-\frac{1}{3x}=5$, find :

(i) $9x^2+\frac{1}{9x^2}$

(ii) $81x^4+\frac{1}{81x^4}$

Find the ratio of the number of squares to the number of triangles from the given figure :

Given the universal set = Universal ~set = $\{x:x\in Nandx<20\}$ ~find:

(i) A = $\{x:x=3p;p\in N\}$

(ii) B = $\{y:y=2n+3,n\in N\}$

(iii) C = $\{x:xisdivisibleby4\}$

A shareholder holding 200 shares did not pay final call. His shares were Forfeited. Out of these 150 shares were reissued to Ms. Sonia at Rs.75 per share. Give journal entries in the books of the company.A shareholder holding 200 shares did not pay final call. His shares were Forfeited. Out of these 150 shares were reissued to Ms. Sonia at Rs.75 per share. Give journal entries in the books of the company.

Arushi Computers Ltd. issued 10,000 equity shares of ₹. 100 each at 10% premium. The net amount payable as follows:
A shareholder holding 200 shares did not pay the final call. His shares were forfeited. Out of these 150 shares were reissued to Ms. Sonia at ₹. 75 per share.
Give journal entries in the books of the company.

The monthly income of a man is 16.000. 15 percent of it is paid as income-tax and 75% of the remainder is spent on rent, food, clothing, etc. How much money is still left with the man ?

In figure, the pie-chart shows the marks obtained by a student in various subjects. If the student scored 135 marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects.

Each interior angle of a regular polygon is ${144}^{\circ }$. Then the measure of each interior angle of a regular polygon which has double the number of sides as the first polygon is

Question 47

Fill in the blanks to make the statements true.

The least number by which 72 be divided to make it a perfect cube is ___.

Question 145(i)
The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square, where the row for one village and the column for the other village intersect.

Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?

Question 75

In the following question, state whether the statement is True (T) or False (F):

The difference of the squares of two consecutive numbers is their sum.

Solve the following equations and verify your answer :

$\frac{2y+5}{y+4}=1$

In the middle of a rectangular field measuring $30m\times 20m$, a well of 7m diameter and 10m depth is dug. The earth so removed is evenlyspread over the remaining part of the field. Find the height through which the level of the field is raised.

The length of a rectangle is 12 cm and its breadth is 6 cm. If the length is increased by 4 cm, the increase in area is equal to

Question 150
The average life expectancies of males for several states are shown in the table. Express each decimal in the form $\frac{p}{q}$ and arrange the states from the least to the greatest male life expectancy.
State-wise data are included below: more indicators can be found in the "FACTFILE" section on the homepage for each state.
$\begin{array}{cccc}\text{State}& \text{Male}& \frac{p}{q}\text{form}& \text{Lowest terms}\\ \text{Andhra Pradesh}& 61.6& & \\ \text{Assam}& 57.1& & \\ \text{Bihar}& 60.7& & \\ \text{Gujarat}& 61.9& & \\ \text{Haryana}& 64.1& & \\ \text{Himachal Pradesh}& 65.1& & \\ \text{Karnatak}& 62.4& & \\ \text{Kerala}& 70.6& & \\ \text{Madhya Pradesh}& 56.5& & \\ \text{Maharashtra}& 64.5& & \\ \text{Orissa}& 57.6& & \\ \text{Punjab}& 66.9& & \\ \text{Rajasthan}& 59.8& & \\ \text{Tamil Nadu}& 63.7& & \\ \text{Uttar Pradesh}& 58.9& & \\ \text{West Bengal}& 62.8& & \end{array}$
Source Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India.
The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)

How many bricks, each measuring 25 cm $\times$ 11.25 cm $\times$ 6 cm, will be needed to build a wall 8 m long, 6 m high and 22.5 cm thick?

(a) 5600

(b) 6000

(c) 6400

(d) 7200

The cost of a mobile phone, purchased 3 years ago, depreciates at the rate of 20% every year. If its present worth is ₹ 3000, find its purchase price.

Consider six squares with sides of different lengths.The length of side of square is in direct proportion to:

Question 36
Factorise:
(i) $a^3-8b^3-64c^3-24abc$

(ii) $2\sqrt{2}{a}^3+8b^3-27c^3+18\sqrt{2}abc$