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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...
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...

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