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A line AB makes zero intercepts on x-axis and y – axis and is perpendicular to another line CD, 3x + 4y + 6 = 0. The equation of line AB is

Out of the couples surveyed by ABC across all the regions, how many couples have exactly one child?

If α, β are the roots of the equation $x^2$ + 15x + 17 = 0, find ${(\alpha -\beta )}^2$.

The maximum value of $lo{g}_{10}{100}^{\left(\frac{1}{x^2+x+1}\right)}$ is k. Then the value of $log\left(\frac{1}{k}\right)$ - log3 is

A number when divided by 3,4,5,6,7 gives remainders 2,3,4,5,6 respectively. The smallest such 5 digit number is?

If the roots of the equation $x^3-a{x}^2+bx-c=0$ are three consecutive integers, then what is the smallest possible value of b?

The length of a rectangle is 5 cm more than its width and the area is 50cm${}^2$. Find the length.

From the top of a cliff, 200 m high, the angle of depression of the top and bottom of a tower are observed to be ${30}^{\circ }$ and ${60}^{\circ }$, find the height of the tower (in fraction; in meter)___

Amrita has to visit either library or her music teacher. It takes her 10 minutes by car to reach to library and 10 minutes from the library to the music teacher. Which of the places are at shorter distance from her house?

1. Four men, Ved Prakash, Jag Mohan, Mukesh and Trilok are sales manager, lecturer, accountant and doctor by profession accompanied their children to a circus. Each person was with one child only

2. Trilok and Jag Mohan came with their sons and they were not doctor or sales manager

3. Nanu, a sweet little girl, was not the doctor's daughter.

4. Gaurav is not Jag Mohan's son.

5. Saurabh's (who is a boy) father is not an accountant.

6. Tanu is not Mukesh's daughter.

Who is Tanu's Father and what is he?

Pebbles can buy eggs from two stores: a new Relance supermarket that sells eggs only in crates of 4, and a road side shoppe that sells single eggs without a crate. If Pebbles wants to ensure that the total number of eggs she buys is a multiple of 5, what is the minimum number of eggs she must buy from the road side shoppe?

Q59. A certain company currently has how many employees?

(1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.

(2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company

In step II, which element(s) appear(s) exactly between ‘pale’ and ‘32’?

If $18$ guests have to be seated, half on each side of a long table. $4$ particular guests desire to sit on one particular side and $3$ on the other side, then the number of ways in which the sitting arrangements can be made is

In triangle ABC, side AC and the perpendicular bisector of side BC meet at point D and BD bisects $\angle ABC.$ If AD = 9 AND DC = 7.Find area of $\Delta$ ABD

The remainder obtained when $(2+2^2+2^3\dots 2^{100})$ is divided by 5 is

The average of seven numbers is 6. What is the eighth number to be added to increase the average to 10?

In a 4 person race, medals are awarded to the fastest 3 sprinters. The first-place sprinter receives a gold medal, the second-place sprinter receives a silver medal, and the third-place sprinter receives a bronze medal. In the event of a tie, the tied sprinters receive the same color medal. (For example, if there is a two-way tie for first-place, the top two sprinters receive gold medals, the next-fastest sprinter receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a Winner's triangle, how many different Winners' triangles are possible?

Which brand earned the maximum revenue before tax?

How many numbers are there between 1 and 100 that are not divisible by 2,3 and 5?

The distance between the two places P and Q is 42 km. If Mr.A starts from P with a uniform speed of 4 kmph towards Q and Mr.B starts from Q towards P with the some uniform speed, they meet each other after 6 hours. Find the speed of Mr.B.

In a right angled triangle, length of the shortest median is 10 units. Find the length of the longest median if the area of triangle is 96 sq mtrs?

Infrastructural details of country Normans Land.

- Maximum possible electricity production in a year (in kwh) = Generating capacity in kw $\times$ number if hours in a year
- Capacity utilization % $=\frac{Actualelectricityproduction}{Maximumpossibleelectricityproduction}\times 100$

The increase or decrease in the length of railroad tracks between the years 1990 and 2000 is what percent of that of asphalted roads?

'A' is the set of natural numbers less than 100. 'B' is the subset of 'A' such that 'B' contains two digit numbers from set 'A' which are divisible by exactly two numbers. 'C' is the subset of 'B' such that 'C' contains numbers whose sum of digits is divisible by 2. 'D' is the subset of 'C' such that 'D' contains numbers whose sum of digits is a perfect square or a perfect cube. Then find the median of the set 'D'?

In step III, which of the following word would be at 6${}^{th}$ position from the left?

Which of the following values of x would give a number such that $(1073{)}^{71}$-x is divisible by 100?

In a rectangle PQRS, PQ = 10$\sqrt{3}$ cm, $\angle$RPQ = 60${}^0$, then QR is

Karan and Sarosh invest Rs.3000 and Rs.4000 in a business, where Sarosh joins Karan after 3 months. If the profit ratio of Karan to that of Sarosh after 1 year is a:b, then $\frac{a}{b}$ is -