Sharan bought a note book and a pencil for Rs. 11/- The price off the notebook is 10 Rupees more than that of the pencil. Then what is the price of the pencil?

50 paise. 

Find the number if this number is three times the sum of its digits?

27

Find the number if the second digit of which is smaller than its first digit by 4 and if the number was divided by digits sum, the quotient would be 7?

84

The product of three consecutive numbers when divided by each of them in turn, the sum of the three quotients will be 74. What are the numbers?

4, 5, 6.

A heavy tree truck can be sowed into 12 ft. long piece in one minute. How long will it take to sow in into twelve equal pieces?

11 minutes. (twelth piece does not require sawing)

The nearest integer to 58701 which is exactly divisible by 567 is?

58968.

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

60 km/hr.

"Let no one ignorant of geometry enter here" whose words was this?

Plato.

A clock takes 6 seconds o strike 4 O' clock. Then how much time it will take to strike 8 O' clock?

14 seconds.

How many times can you subtract 100 from 2000?

Only once!

The equation in which no variable term is raised to a power higher than one?

Linear equation. 

The inverse of arithmetic series is known as?

Harmonic Series 

Which is the famous book of John D. Williams?

The Complete Strategyst. 

Who defines the probability as "What men know to happen or not to happen to be or not to be, for the most part thus and thus?"m

Aristotle

Which branches of mathematics are mainly used by chemists?

Arithmetical and Algebraic. 

What is the name of the base 60 number system?

Sexagesimal system. 

In 230 BC who developed a method for finding all prime numbers?

Eratosthenes.