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...
• A man observes the top of a lighthouse from a point on the ground 30 m away from its base. If the angle of elevation is 60°, what is the height of the lig...
• 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...
• An object is sold at a 15% gain and the selling price becomes Rs. 180 more than when it's sold at a 35% loss. Find the cost price of the object.
• Pipe ‘P’ alone can fill a tank in 12 minutes. If pipes ‘P’ and ‘Q’ are operated together, they fill the tank in 16 minutes. Find the time taken...
• Anita had 320 candies and Rina had 40 more candies than Anita. Anita gave away 25% of her candies while Rina gave away 35% of hers. How many more/less cand...
• Find the simplified value of the given expression.
• Calculate the lateral surface area of a right circular cone whose diameter is 14 cm and vertical height is 10 cm.
• 6 students ‘P’, ‘Q’, ‘R’, ‘S’, ‘T’ and ‘U’ took part in a quiz competition. The average score of all 6 was 72 marks. The average sc...
• The average age of Neha and her uncle at present is 40 years. Neha's age 5 years from now will be one-fourth of the present age of her uncle. What is the c...
• Amit and Anaya can complete a task together in 20 days. If Anaya is 150% more efficient than Amit, how many days will Anaya alone take to finish the task?
• The cost price of a product is Rs. 400. The shopkeeper marks it 25% above the cost price and then offers a discount of 10%. Calculate the overall gain or l...
• A total of Rs. 17400 is shared between 'X' and 'Y' in the ratio 11:7. If 'Y' invests his portion in a compound interest scheme at a rate of 10% per annum, ...
• Find the greatest 3-digit number which when divided by 11 or 16 leaves 3 as remainder.
• Sneha cycles to her tuition class at a speed of 20 km/h and ends up reaching 3 hours late. Had she pedalled at 25 km/h, she would have reached exactly on t...
• Determine the final value of this expression: (1/5) of {5⁴ - 24 × 14 + 12 × 18 - 10.5 of 10²}
• A hall is in the shape of a rectangle with a length of 30 metres and its perimeter is 90 metres. If the hall is to be tiled at Rs.10 per square metre, calc...
• In 2021, Riya's income was Rs. 20000 out of which she spent 35% and saved the rest. In 2022, if Riya's income rose by 15% and her spending increased by Rs....
• Two successive discounts of 25% and 10% is equivalent to a single discount of how much percentage?
• Four traffic lights blink at intervals of 3 seconds, 6 seconds, 9 seconds, and 12 seconds respectively. How many times will they blink together in 36 minut...
• Meena can paint a house in 24 days. If Meena and Reena together can complete it in 15 days, then how many days will Reena take to finish the work on her ow...
• Ravi has 98 marbles of two colours – green and yellow. If he bought 28 more yellow marbles, the ratio of green to yellow marbles would become 3:4. Find h...