303 questions asked across 4 exam years, newest first
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
The given table shows the production of iron rods by a company for a period of 6 months. Study the table and answer the question that follows. Month January March May July September November Production 60 75 45 85 90 108 What is the ratio of the month having the highest production to the month having the least production?
Answer: A
Study the given chart and answer the question that follows. The following chart shows the production of textbooks in thousands in the years 2018, 2020 and 2022 from the print houses A, B and C, respectively. The ratio of textbooks produced by Print house B in the year 2018 to the textbooks produced by Print house C in the year 2020 is ______.
Answer: C
In △ABD and △FEC, ∠BAD = 60°, l(BD) = l(EC), ∠ABD = ∠FEC = 90°, and l(AB) = l(FE). Find the ratio of .
Answer: D
The mean proportional of 2 and 32 is ______.
Answer: B
A sum of money is divided among P, Q, R, and S in the proportion of 4 : 9 : 2 : 3. If Q gets ₹560 more than R, then the share of S is:
Answer: D
If the ratio of the areas of two similar triangles is 25 : 144, the ratio of their corresponding sides is:
Answer: B
Find the quotient, when the mean proportional of and 245 is divided by an even prime number.
Answer: A
What is the ratio of the mean proportional of 1.21 and 0.09 with the mean proportional of 0.16 and 0.36?
Answer: B
The tank is filled by three pipes with different uniform flow rates. While the first two pipes are operating simultaneously, they fill the tank in the same duration that the third pipe takes to fill it alone. The second pipe can fill the tank 5 hours quicker than the first pipe, yet 4 hours slower than the third pipe. What is the time (in hours) needed for the first pipe to fill the tank?
Answer: D
Express sin 74° + tan 74° in terms of trigonometric ratios of angles between 0° and 45°.
Answer: C
The given table shows the number of bananas produced by five farms over 4 years: Year Farm L Farm M Farm N Farm O Farm P 2020 17,500 14,180 16,300 17,405 15,805 2021 11,200 13,900 14,600 15,304 16,207 2022 12,300 17,652 14,800 15,150 16,404 2023 14,650 15,558 17,465 14,185 15,450 What is the respective ratio of the dozens of bananas produced by farm M to farm P in the year 2022?
Answer: C
A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7, respectively. If the total amount in the bag is ₹980, then find the number of coins of ₹10.
Answer: D
The following table represents the total number of research scholars and the respective number of female research scholars in various departments of a university. Study the table carefully and answer the question that follows. Department Total number of research scholars Number of female research scholars Physics 35 12 Chemistry 40 28 Mathematics 18 4 Statistics 12 3 What is the ratio of male research scholars in Mathematics to Statistics?
Answer: B
The given table shows the number of books on different subjects. Subjects Number of books B1 120 B2 150 B3 150 B4 120 B5 120 What is the ratio of the number of books for subject B1 to the average number of books per subject?
Answer: C
