Embibe Experts Solutions for Exercise 2: Assignment

Which of the following statements is/are true?
$p: 137$ is an integer or rational number
$q$ : Birds has wings or colour of sky is blue
$r$: One of every three consecutive integer is divisible by $3$ or product of every two consecutive integer is odd.

Which of the following compound statements contains inclusive $OR$

$p: \sqrt{35}$ is a rational or an irrational number.

$q: 12$ is an even or rational number.

$r:$ To apply for post paid mobile connection you should have voter I-card or driving licence.

Which of the following compound statement contains 'exclusive $OR$'

$p$ : Student can take computer or physical education as their fourth subject with PCM.

$q$ : Sun rises or moon rises.

$r$ : An integer greater than $1$ is prime or composite.

$p:$ For every integer $x, x^2$ is positive integer, $(x\ne 0)$ statement $p$ can be interpreted as

$p$: There exists a natural number which is prime.

Statement $p$ can be interpreted as

"If $p$ then $q$" (where $p$ and $q$ are statements) says

"If $p$ then $q$" is same as (where $p$ and $q$ are statements)

$p$ : If a number is multiple of $5$ then its end digit will be $5$ or $0$.

Contrapositive of above statement is