Welcome to your 07 Math Free

1. 
If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.
2. 
A certain freezing process requires the room temperature to be lowered from 50ºC at the rate of 8ºC every hour. What will be the room temperature 7 hours after the process begins?
3. 
A company is producing anti-aging cream and baby wipes. The company makes a profit of ₹ 45 per unit on anti aging cream and a loss of ₹ 10 per unit on Baby wipes. If the company sells 5000 units of anti-aging cream and 4000 units of baby wipes, find the profit or loss of the company due to the sale.
4. 
A rectangular park of length 70 m and breadth 50 m is there in a locality. Two crossroads perpendicular to each other of width 6 m needs to be constructed in between the park for walking. Find the cost of leveling the Crossroads at the rate of Rs.120 per square m .
5. 
Every whole number is a rational number but every rational number need not be whole number.
6. 
Amit bought a cricket ball for Rs. 35 and sold it to Prakesh at 20% profit. What did Prakesh pay?
7. 
Over a period of ten years the estimated number of tigers dropped by 65% from 1200. How many are estimated to be left?
8. 
Every fraction is a rational number.
9. 
After increasing the rate of book by 20% , It becomes ₹120. What is the original price of the book?
10. 
Area of a right angled triangle is 30 sq cm. If its smallest side is 5 cm, then its hypotenuse is:
11. 
The smallest integer is zero.
12. 
An English jeweler sold Rs. 35000 worth of jewels in one month (his ‘turnover’) and made a profit of Rs. 14000. What is his profit as a percentage of his turnover?
13. 
A number when divided by 6 gives the quotient 6. What is the number?
14. 
A shopkeeper spends Rs. 2000 on buying stock. He sells the stock for Rs. 2800. What is his profit as a percentage of the amount he paid for the stock?
15. 
If the sum of two numbers is -12. If one of them is 18, find the other number?
16. 
What is 60 cm as a percentage of 4 m?
17. 
A room is 12m long, 8 m broad and 4m high. What will be the area of four walls?
18. 
Find the value of y.
19. 
Express 0.45 m as a percentage of 3 m.
20. 
Multiplicative inverse of -3/5 is