303 questions asked across 4 exam years, newest first
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
Answer: A
The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4 : 3 : 2 : 1 .When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond.
Answer: B
The bar graph given below shows the sales of ball pens (in thousand numbers) from six shops S1, S2, S3, S4, S5, and S6 during two consecutive years, 2011 and 2012. What’s is the ratio of the total sales of shop S2 for both years to the total sales of shop S5 for both years?

Answer: D
The ratio of boys to girls initial in a college is 5 : 6. If 40 boys leave the college and 50 girls join the college, the ratio will become 8 : 11. Find the number of girls (initial) in the college.
Answer: C
Find the mean proportional of 36 and 100.
Answer: D
If arcs PAQ and RBS of a circle are congruent, then find the ratio of PQ and RS.
Answer: C
The mean proportional of and x is , where a is a positive number, then the value of x is ______.
Answer: D
The present ages (in years) of A and B are in the ratio of 3:4. Five years back, the ratio of their ages was 2:3. What is the present age (in years) of A?
Answer: C
The side MN of a parallelogram MNOP is produced to Q such that MN = NQ. PQ intersects ON at R. The point R divides ON in the ratio:
Answer: D
In a collection of rare coins, there is one gold coin for every four non-gold coins. If 20 more gold coins are added to the collection, the ratio of the number of gold coins to that of non-gold coins will be 2:3. The total number of coins in the collection will now become ________.
Answer: A
If the height and diameter of a cylinder are 12 cm and 28 cm, respectively, then find the ratio of the total surface area to the curved surface area.
Answer: A
In a company, the ratio of men and women is 5:3, respectively. When 150 additional women are employed in the company, the ratio becomes 5:4. How many men are employed in the company?
Answer: B
A motorboat takes 18 hours to go downstream, and it takes 36 hours to return the same distance. Find the ratio of the speed of the boat in still water to the speed of the stream.
Answer: B
The given bar graph shows the actual production and targeted production of electric cars from 2019 to 2022. Study the given bar graph and answer the question that follows. What is the ratio of the total targeted production of cars in 2021 and 2022 to the actual production of cars from 2019 to 2022 taken together?

Answer: C
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
Answer: A
The below table shows the sales of motorbikes of four manufacturers from 2016 to 2020 (All the figures are in thousands). Study the table and answer the question that follows. Manufacturer 2016 2017 2018 2019 2020 P 220 225 235 240 260 Q 280 290 310 310 330 R 350 375 385 390 400 S 400 420 430 440 450 Find the ratio of the total number of sales of the motorbikes of manufacturer Q to the total number of sales of the motorbikes of manufacturer S from 2016 to 2020.

Answer: B
A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).
Answer: A
The following table indicates the number of students studying in three subjects in four colleges. Subjects Colleges W X Y Z Physics 420 435 412 285 Chemistry 380 340 315 420 Mathematics 256 310 295 345 What is the ratio of the total number of students studying in the Physics to that of studying in Mathematics in all four colleges taken together?

Answer: B
2 varieties of tea powders worth ₹250/kg and ₹300/kg are mixed with a third variety of tea powder in the ratio 1 : 1 : 2. If the mixture is worth ₹350/kg, find the price of the third variety tea powder.
Answer: D
Find the mean proportional of 12.96 and 0.16.
Answer: A
The measures of the three angles of a triangle are in the ratio 17 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles.
Answer: C
Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:
Answer: D
A thief pursued by a policeman was 150 m ahead at the start. If the ratio of the speed of the policeman to that of the thief was 5:4, then how far (distance in metres) could the thief go before he is caught by the policeman?
Answer: B
The ratio between male and female members in a club is 2:3. If the number of male members is increased by 200, the ratio becomes 5:6. How many female members are there in the club?
Answer: C
Two cylinders have the radii of their bases in the ratio 4:5 and their heights are in the ratio 5:7. Find the ratio of their curved surface areas.
Answer: D