Embibe Experts Solutions for Chapter: UPSC CDS (I) Previous Year Paper 2017, Exercise 1: Elementary Mathematics

The mean marks obtained by $300$ students in a subject are $60$. The mean of top hundred students was found to be $80$ and the mean of last hundred student was found to be $50$. The mean marks of the remaining hundred students are_____.

Consider the following distribution:

If the mean of the above distribution is $50$, what is the value of $f$?

In a pie diagram, there are four slices with angles $150°, 90°, 60° \text{and }60°$. A new pie diagram is formed by deleting one of the slices having angle $60°$ in the givn pie diagram. In the new pie diagram______.

In an asymmetrical distribution, if the mean and median of the distribution are $270$ and $220$ respectively, then the mode of the data is _____.

Let $a, b, c, d, e, f, g$ be consecutive even numbers and $j, k, l, m, n$ be consective off numbers. What is the average of all the numbers?

An individual purchases $3$ quantities of pencils. The relevant data is given below:

It is known that the average price per pencil is $₹1.25$. What is the value of $x$?

Consider the following frequency distribution:

What are the values of $f_1 \text{and} f_2$ Respectively?

If $D$ is the number of degrees and $R$ is the number of radians in an angle $\theta$, then which of the following is correct?