Prashant Jagtap Solutions for Exercise 1: Exercise 1

Consider the figure given below:

Here $L$ and $M$ are mid-points of $AB$ and $DC$ respectively. If the areas of the triangles $LDC, BMC$ and $AMC$ $x, y$are denoted by $x, y$ and $z$ respectively, then?

In the given figure, let $O$ be the centre of a circle and $OQ = OR =$ Radius. What is angle $QOR$?

In an objective test there are $60$ questions. Each question carries four alternative answers, only one of which is correct. Suppose A and B are two candidates both of whom know correct answers to $30$ questions. A answers only $30$ questions while B answers all $60$ questions choosing answers at random for those he does not know the answers, if each question carries a mark of $1$ and no negative marks are awarded, the marks obtained by B are expected to be larger than those obtained by A?

Which one of the following justifies the statement -`Man cannot be trusted because he is not truthful'?

$19$ boys turn out for hockey. Of these $11$ are wearing hockey shirts and $14$ are wearing hockey pants. All boys are wearing at least one of the two. The number of boys wearing full uniform are:

The age of a father is twice that of the elder son. Ten years hence the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, the age of the father is:

In a class, there are $18$ boys who are over $160$ cm tall. If these constitute to three-fourth of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

A couple gave birth to two twins. The probability of both being male, both female or one male and one female is respectively?