Learning and Development Interview Questions and answers for Mathematics-1.

 1). What is Mean, Mode and Median?

Solution

Answer:

The mean is the average of a collection of numbers or terms in a sequence. To calculate the mean use a formula is sum of total terms divided by number of terms.

The mode is the most frequent number or term in a sequence. It means the number that occurred highest number of times in a sequence. To find the mode arrange the numbers in ascending or descending order and verify which number repeated most number of times in a sorted sequence.

The median is the middle number/term where the sequence is arranged in ascending or descending order. If the sorted sequence have odd number of terms then divide by 2 and round up to get the position of the median number. If the sorted sequence have even number of terms then divide by 2  to get the position of the median number.

 2). What is the Difference between Fractional and Rational number?

Solution

Answer:

A fraction is any number of the form a/b where both “a” and “b” are whole numbers and b≠0. 

A Rational number is a number which is in the form of p/q where both “p” and “q” are integers and q≠0.

Thus, a fraction is written in the form of m/n, where n is not 0 and m & n are whole (or natural numbers). For example, 20/33, 15/12, 12/50, 14/31. A rational number can also be written in the form of a/b, where b is not 0 and a & b are integers. For example, 15/7, 18/-13, 3/7, 6/12.

Consider the fraction 15/-42. It is a rational number but not a fractional number because its denominator (n) is not a natural number.

What is the Difference Between Fraction and Rational Number?

S.No.	Fraction	Rational Numbers
1.	Written in the form of a/b, where a and b are whole numbers, and b≠0	Written in the form of p/q, where p and q are integers, and q≠0
2.	All fractional numbers are rational numbers.	All rational numbers are not fractions.
3.	1/8,1/3,1/9, etc.	9/2, 13/4, etc.
4	Note: Both are real numbers

3.What is Incenter ?

    In geometry, the incenter of a triangle is a triangle centre, a point defined for any triangle in a way that is independent of the triangle's placement or scale.        The centre of the incircle of a triangle or other figure. or 

 The incenter is the point where all of the angle bisectors meet in the triangle.

For a triangle, an incenter can be obtained by drawing the angle bisectors of the    triangle and locate the point of intersection of these bisectors. This can be done    by using a compass.

4. How many real roots for x^4-1?

5. Number of diagonals for hexagon
6. Formula to calculate centroid of a traingle 
7. Empirical formula for mean, mode, ans median

8) If the length of 2 sides of a triangle are l1& l2, the length of 3rd side is

(l1- l2), what is the area of the triangle?  
9) If the compound interest is 10%, what would be the minimum number of years which will take to double the sum? 

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