12`xx` 0.5 + 1 = 7 7`xx` 1+ 3 = 10 10 `xx` 2+ 5 = 25 25`xx` 4 + 7 = 107 107`xx` 8 + 9 = 865
In a class of 55 students, the ratio of boys to girls is 5:6. The average weight of a boy exceeds the average weight of a girl by 8 kg. Additionally, th...
I. 3x² - 15x + 18 = 0
II. 2y² - 8y + 6 = 0
A shopkeeper marks his goods 50% above the cost price but allows his customers a discount of 20% on the marked price. What is his actual profit if selli...
The sides of a triangle measure 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
A rectangular water reservoir contains 42,000 liters of water. Find the depth of water in the reservoir, if the base measures 6m by 3.5m
Quantity I: A shopkeeper bought an article for Rs. 3000 and marked its price up by 50%. He then gave two successive discounts of 10% and ‘x’%, makin...
A 60-liter solution contains 30% alcohol. How much pure alcohol must be added to make the solution 50% alcohol?
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B,...
The simplified value of (452 x 452 x 452 – 356 x 356 x 356)/(452 x 356 + 452 x 452 + 356 x 356) is:
A rectangle has a perimeter of 60 cm, and the ratio of its length to its width is 3:2. Find the length of its diagonal.
