Find the value of a and b if (x-1) and (x+1) are factors of x⁴+ax³-3x²+2x+b

If the area of a triangle is 1176 cm² and the ratio of base corresponding altitude is 3 : 4, then the altitude of the triangle is :

Excluding stoppages, the speed of a train is 120 kmph and including stoppage, it is 50 kmph. For how many minutes does the train stop per hour?

An article is sold at a loss of 40%. The nominal amount of loss is approximately what percentage of the selling price of the article?

Directions :- Read the given information carefully and answer the following questions.

There are four hostels i.e. A, B, C and D.

In hostel A: Number of boys are 120 and number of girls are 30% more than that of number of girls in

hostel B.

In hostel B: Number of boys are double than that of number of girls.

In hostel C: Number of boys are 100 more than that of boys in hostel A and total boys and girls in C is 1000.

In hostel D: Number of boys is 182 more than the number of boys in hostel A. Average of number of girls of hostel A and that of hostel D is 223.Number of boys in hostel D is 98 less that of boys in hostel B.

 If 20 boys from each hostel left their hostel then find the average of remaining number of boys in all the hostels?

In an examination, 50% of the students passed in Science and 75% passed in Social Science, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?

The smallest possible three - place decimal is: 

In how much time the money of Rs 6400 will be Rs 6561 at the rate of 5 percent annual interest if the compound interest is payable quarterly?