Maths

If abcd = 100000000, then the value of $\left(\frac{1}{lo{g}_{a}100}+\frac{1}{lo{g}_{b}100}+\frac{1}{lo{g}_{c}100}+\frac{1}{lo{g}_{d}100}\right)$ is.

Which of the following values of 'x' satisfy the inequality x(x – 6) > 2x – 12?

How many integers satisfy the inequality |x² – 25 | <5

For all even numbers 'n' f(n) is the sum of the squares of all even natural numbers less than or equal to 'n' If for some 'n' f(n) = 51 * n, what is the value of n?

A trader sells wheat at Rs. x/kg. A shopkeeper cons a trader into selling him 10 percent more wheat than what he is paying for. Later the shopkeeper uses faulty balance and gives a customer 10 percent less wheat what is paying for. If the shopkeeper also sells the wheat at Rs. x/kg what is the overall profit percentage of the shopkeeper in whole transactions?

A train covers half the distance with a speed of 150km/hr. The remaining part of the distance was covered with a speed of 80 km/hr for half of the time and with the speed of 120km/hr for the other half of the time. For the whole journey, calculate the average distance (in km) covered by the train in one hour.

Aman takes 40 hours to paint four walls and ceiling of a room of volume 2800 cubic feet. The ceiling height of the room is 28 feet. If Aman painted at a constant rate of 0.125sq. feet per minute, then how long it will take him to paint four walls.

Sum of all the digit of the number 10⁷⁸ – 21

The CP of x apples and y mangoes is Rs. 8 more than CP of 3x apples any (y – 6) mangoes. IF the CP of an apple is Rs. 4 less than the maximum passible total CP (in Rs.) of an apple and a mango is 

The ratio of business and economic class fare between Dehradun and Hyderabad is 3 : 2 and that of the number of passenger travelling by business and economy classes is 12 : 25. If on a day Rs. 4.3 lakh is collected as the total fare, then what is the absolute difference in amount collected from the business class and economy class passenger?