Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Integers, Exercise 7: HOTS

Two integers have a difference of $6$and a sum of $-18$. What are the integers ?
 

Let * is an operation on integers such that a*b=$-a+b-(-2)$ for all integers $\mathrm{a}, \mathrm{b}$. Then, find the value of :
$(-2) *(-3)$
 

Let * is an operation on integers such that a*b=$-a+b-(-2)$ for all integers $\mathrm{a}, \mathrm{b}$. Then, find the value of :
$(-5{)}^{*}6$

Let * is an operation on integers such that a*b=$-a+b-(-2)$ for all integers $\mathrm{a}, \mathrm{b}$. Then, find the value of :
$4^{*}3$

On a particular day, the temperature of Delhi at $10$a.m. was $13°\mathrm{C}$ but by the mid-night, it fell down to $6°\mathrm{C}$. The temperature of chennai at $10\mathrm{a}.\mathrm{m}$. on the same day was $18°\mathrm{C}$ but fell down to $10°\mathrm{C}$ by the mid-night. Which fall is greater ?
 

A shopkeeper had a profit of Rs .$50$ on Monday, a loss of Rs. $20$ on Tuesday, and a loss of Rs. $18$on wednesday. Find his net profit or loss in these three days.