What is the age of a class teacher?

I. There are 13 students in the class.

II. The average age of students and the teacher is 16 years.

III. The average age of the teacher and the students is 4 years more than that of the students.

By combining all the three statements, Average age of student and teacher = 16 × 14 = 224 years. Average age of 13 students = 16 – 4 = 12 years. Total age of 13 students = 13 × 12 = 156 years. ∴ Teacher’s age = 224 – 156 = 68 years.

The mode and the mean of grouped data are 25 and 29.5 respectively. Find the median, correct to two places of decimal, using empirical relation.

The mean of the sample data = 60 and median = 48. Find the mode of this distribution.

In an A.P a9 = 40, then find sum of first 17 terms of that A.P.

Find the sum of geometric progression, 40, 20, 10, 5, …..

If p = q + 2, where q is the product of six consecutive positive integers, then which of the following is/are true?

a. p is a perfect cube

Find the 5

^{th}term of the geometric progression whose first term is 128 and common multiple is 1/2.If 8 times the eighth term of an Arithmetic Progression (AP) is equal to 12 times its twelfth term, then the 20th term of the AP will be

The arithmetic means of the following data is.23,17,20,19,21,20,20

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