Vaishali Bhatia and Rupesh Pathak Solutions for Chapter: Integers, Exercise 5: Exercise 1.2

On dividing $-8016$ by $\mathrm{x}$, the answer obtained is $-16$. Find the value of integer $\mathrm{x}$.

Divide $51$ by the sum of $-8$ and $-9$.

Find the product of sum of three consecutive smallest positive numbers with the sum of their corresponding opposites.

In an Off Season Sale, a shopkeeper makes a profit of $₹50$ on sale of one shirt and a loss of $₹20$ on sale of a pair of pants. Find the number of shirts sold by him, if the total profit made by him is $₹820$ and the number of pants sold is $4$.

During a $12$-hour period, the temperature which dropped by a fixed value every hour declined ${36}^{\mathrm{o}}\mathrm{C}$. How many degrees did the temperature drop each hour?

An insect climbs $2 \mathrm{cm}$ up a slippery rod in one second and slips down by $1 \mathrm{cm}$ over the next second. How many seconds will the insect take to reach the top of the rod $15 \mathrm{cm}$ high?

Start with integer $2$. Add $-3$ to it. Multiply the answer by $10$. Then subtract $5$ from it. Now divide the result by $3$ and then add $40$ to it. What number do you get at last?

Vaibhav is an enthusiastic sports boy. While practising long jump, he managed $90 \mathrm{cm}$ on the first day. Second day onwards he managed to jump $2 \mathrm{cm}$ longer than the previous day and so on. On the sixth day, how long did he jump?