Two numbers, of which the first number is 200% of the second number. If the sum of the squares of the first number and the cube of the second number is 5 times the product of both numbers, find the difference between the two numbers?

What is the value of 300°?

The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

If (a+b) : (b+c) : (c+a) = 7 :6 : 5 and (a+b+c)=27, then what will be the value of $$ {1\over b}:{1\over a}:{1\over c}$$.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

A shopkeeper sold an article and got Rs 300 as profit. Find the profit percentage.
A. Selling price of the article is Rs 1200.
B. He gave 25% discount, which is Rs 400, on the labelled price.
C. Cost price of the article is Rs 900.

If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z}  and \ a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

117.5, 117, 119, 111, 143, ?

A sum of money at double the rate of simple interest doubles itself in 10 years. In how much time will that amount be triple of itself?