For the following questions answer them individually
The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?
A person bought a book at 31% discount on its printed price. If no discount was given, then he would have to pay ₹2,480 more. How much did he pay (in ₹) for the book?
The value of $$\frac{5\cos^{2}62^{\circ}+5\cos^{2}28^{\circ}-21}{7\sin^{2}35^{\circ}+7\sin^{2}55^{\circ}+1}$$
While preparing the results of English of a class, the marks of one student got recorded as 95 in place of 57, as a result of which there was an increase in the average score by 0.95. How many students were there in the class?
A circle is circumscribed on a quadrilatera $$\angle$$ ABCD. If $$\angle DAB = 100^{\circ}$$, $$\angle ADB = 35^{\circ}$$ and $$\angle CDB = 40^{\circ}$$, then find the measure of $$\angle$$ DBC .
In a triangle ABC, angle A = 68. If 'I' is incentre, then find out the measure of angle BIC.
Which of the following is the smallest number that is a perfect square and is divisible by each of ihe numbers 6, 8 and 15?
In a right-angled triangle PQR, $$\angle Q = 90^{\circ}$$. A and B are the mid-points of PQ and PR, respectively. If PQ = 16 cm, QR= 30 cm and PR= 34 cm, what is perimeter (in cm) of the trapezium ABRQ?
If a+b+c = 6 , $$a^{2} + b^{2} + c^{2} = 32$$, and $$a^{3} + b^{3}+ c^{3} = 189$$, then the value of 4abc is:
Divide ₹66,300 between A and B in such a way that the amount that A receives after 8 years is equal to the amount that B receives after 10 years; with compound interest being compounded annually at a rate of 10% per annum.