303 questions asked across 4 exam years, newest first
An alloy contains tin and copper in the ratio 5:3. A second alloy contains tin and copper in the ratio 3:1. What quantity of the first alloy must be mixed with 20 kg of the second alloy to produce a new alloy with tin and copper in the ratio 4:2?
Answer: B
A chemist prepares 60 liters of antiseptic solution by mixing two liquids 'A' and 'B' in the ratio 2:3. If the cost of 'A' is Rs. 45/liter and 'B' is Rs. 30/liter, what is the average cost per liter of the final solution?
Answer: A
In △ABC, a median AD is drawn to side BC. What is the ratio of the area of △ABD to the area of △ACD?
Answer: A
Which of the following is a non-zero number that belongs to every set: Whole, Integer, Rational, and Real?
Answer: A
Three friends share a winning prize in the ratio 2:3:4. If the total prize is Rs. 9000, how much more does the person with the highest share get than the lowest?
Answer: C
A triangular flag has base and height in the ratio 5:4. If the area is 160 cm², what are the base and height?
Answer: B
Which of these is a number that is real but NOT rational?
Answer: C
A steel plate is in the shape of a right triangle. The lengths of the legs are in the ratio 5:12. If the hypotenuse is 13 m, what is the area?
Answer: A
What type of number is the result of multiplying a Rational Number with an Irrational Number?
Answer: D
A ribbon is cut into three pieces in the ratio 2:3:5. If the length of the longest piece is 20 cm, what is the total length of the ribbon?
Answer: B
In an urban project, triangular plots with side ratios 3:4:5 are allocated. If the perimeter is 60 m, find the area.
Answer: D
A bucket has 60 litres of a solution with sugar and water in the ratio 5:1. If 12 litres of the solution are replaced with water, what is the new ratio?
Answer: A
20 women can do work in 16 days. 10 men can complete the same work in 12 days. What is the ratio between the efficiency of a man and a woman?
Answer: A
A basket contains apples and oranges in the ratio 4:3. After removing 8 apples and adding 6 oranges, the new ratio becomes 1:1. How many fruits were there originally?
Answer: D
A display stand is shaped like a right triangular prism. The triangular base is a right-angled triangle with perpendicular sides measuring 3 cm and 4 cm. The height of the prism is 10 cm. What is the ratio of the area of the largest rectangular face to the area of the smallest rectangular face of the prism?
Answer: C
In a mixture of 80 litres of orange juice and soda, the amount of soda is 30 litres. How many litres of soda should be added to make the ratio of juice to soda 1:2?
Answer: D
The sides of a rectangular prism are in the ratio 4 : 5 : 6. If the volume of the prism is 960 cm³, what is the length of its longest side?
Answer: A
A conical bucket is cut at one-third its height from the top. What is the ratio of the volumes of the two parts (top part to bottom part)?
Answer: B
A sector of a circle has a central angle of and a radius of 9 cm. Another sector of the same circle has a central angle of radians. What is the ratio of the area of the first sector to the area of the second sector?
Answer: A
From a point A on the ground, the angle of elevation to the top of a building is 30°. From a point B, which is directly between A and the foot of the building, the angle of elevation is 60°. What is the ratio of the distance of point A from the building's foot to the distance of point B from the building's foot?
Answer: D
What is the ratio of the area of a regular hexagon to that of an equilateral triangle of the same side length?
Answer: A
A right circular cone having height of 30 cm is cut by two parallel planes at heights 10 cm and 20 cm from the base. What is the ratio of the volumes of the three parts (from top to bottom)?
Answer: D
A sector has a central angle of 90° and a radius of 6 cm. Another sector has a central angle of radians. What is the ratio of the area of the first sector to the area of the second sector?
Answer: B
A bag contains ₹5, ₹2, and ₹1 coins in the ratio 2 : 3 : 4. If the total amount of money in the bag is ₹200, find the number of coins of each kind.
Answer: B
Creating a frustum, a right circular cone is sliced parallel to its base. The height of the original cone is 30 cm, and the cut is made 10 cm from the vertex. What is the ratio of the volumes of the frustum to that of the entire cone?
Answer: A
