In ΔABC, AB = AC and ∠B = 40 °, find the value of ∠A.

A principal increase by 50 percent in five years at the rate of simple interest. What will be the compound interest for 3 years at Rs 20,000 with the same interest rate?

Three numbers are in the ratio of 5: 6: 7. If the product of those numbers is 5670 then the largest number is-

The difference between the circumferences of two circles is 110 cm and the radius of the smaller circle is 14 cm. what is the radius of the larger circle?

A man is twice as fast as women and woman is twice fast as a boy. If all of them i.e., a man, a woman and a boy can finish a work together in 4 days, in how many days will a boy do it alone?

In a triangle, ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 45 cm. If the area of ΔAPQ is 12 $${{cm^2}}$$, then find the area of BPQC.

Vessels A and B contain mixture of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to from a mixture in which milk to water is in the ratio 5 : 4 ? 

Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

 I. x²- 1 = 0
II. y²+ 4y + 3 = 0.