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2
A person purchased two articles at the same price and on selling the first article he makes a profit of 12%. Selling price of second article is Rs 90 more than the selling price of the first article. Find the cost price of one article if his overall profit percentage is 15%?
3
The ratio of the speed of a boat in still water to the speed of the current is 10:1. Ratio of time taken by the boat to cover D km in downstream to the time taken by the boat to cover (D-45) km in upstream is 3:2. Then find the value of D?
4
40 men can complete a work in 48 days. If 64 men started working and after X days 32 more men joined the work. If the remaining work is completed in 16 (2/3) days, then find the value of X?
5
A started a project by investing Rs. X and after 6 months, B invested Rs.4,000 more than what A had invested. At the end of the year, the ratio of the overall profit to that of B was 7 : 3. What was the value X?
6
A container contains a mixture of milk and water in which water is 24%. 50% of the mixture is taken out in which water is 78 litres less than the milk. Find the remaining quantity of milk in that container?
7
The perimeter of a triangle is equal to the perimeter of a rectangle. The length of the rectangle is 75% of the side of a square and the ratio of length to breadth of rectangle is 3 : 2. If the difference between the perimeter of a square and that of the rectangle is 36 cm, then find the perimeter of the triangle?
8
Solve the given quadratic equations and mark the correct option based on your answer:
I. x2 − 14?? + 45 = 0
II. y2 – 18?? + 72 = 0
9
I. x2 + 7?? + 12 = 0
II. y2 + 9?? + 20 = 0
10
I. 4x2– 7x + 3 = 0
II. 7y2− 17y + 6 = 0
11
What will come in place of (?) in the following number series?
Q. 200, 197, 185, 163, 130, (?)
12
15, 8, 9, 15, 32, (?)
13
5, 30, 150, 600, (?)
14
222, 110, 54, 26, (?)
15
104, (?), 96, 120, 88, 12
16
A invested Rs. X in a scheme. After 6 months, B joined with Rs.4000 more than that of A. After a year, the ratio of profit of B to the total profit was 3: 7. Find the value of X.
17
If the perimeter of the base of a cylinder is 66 cm. Then find the volume of the cylinder if the height of the cylinder is 0.04 m