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Practice Difficult level Section Tests Questions and Answers

Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?
The angle of elevation of a tower from a certain point of bus stand is 30°. When a man walks 5m ahead in the direction of the tower, the angle of...
The angle of elevation of a tower from a certain point of bus stand is 30°. When a man walks 5m ahead in the direction of the tower, the angle of...
The difference between the interior and exterior angles of a vertex of a regular polygon is 140°. The number of sides of the polygon is
A boat can travel 24 km upstream and 30 km downstream in 4 hours. Find the speed of the boat in still water if the speed of the stream is 3 km/h.
The speed ratio of A to B is 4:3. C covers 840 km in 14 hours. If B's speed is 20% lower than C's speed, how much time will A need to cover 512 km?
Amit purchased an article and marked it 60% above the cost price and sold it after giving a discount of 15% for Rs. 1530. What will be the selling price of...
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
Find the equation if a point P(x, y) is equidistant from A(7, 3) and B(-3, 7).
The ratio of the radii of the bases of a cylinder and a cone is 2:3, while the ratio of their heights is 3:5. What is the ratio of the volume of the cylind...
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?
The average of 16 numbers is 82. The average of the first 8 numbers is 90, while the average of the last 9 numbers is 75. If the 8th number is removed, wha...
Ankit can complete a task in 16 days, while Bina alone can complete the same task in 24 days. Ankit starts the work alone and continues for 6 days. Then, B...
8 years ago, the ages of ‘Amit’ and ‘Bharat’ were in the ratio 4:5, respectively. If 6 years hence from now, the ages of ‘Ami...
Ravi’ spends 60% of his income whereas ‘Karan’ spends 80% of his income. If each of them saves Rs. 6,000, then find the total expenses of...
A shopkeeper can make a profit of 30% by selling an article for Rs. 390. If he wants to make a profit of 50% even after allowing a discount of 25%, then at...
A sum of money grows to Rs. 7,500 in 5 years and Rs. 8,250 in 7 years under simple interest. What is the original principal amount?
A man sells a car to his friend at a loss of 10%. If his friend sells the same car for ₹ 54,000 and gets 20% profit on it. What is the actual price of th...
P can do a piece of work in 20 days, Q can do the same piece of work in 24 days while R can do it in 30 days. They started working together but after 4 day...

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