Quant Aptitude
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If then product of extremes = product of means: .
Efficiency is inversely proportional to time. If efficiencies are , the times taken flip to .
Trap: "joins 3 months later" (active 9 of 12 months) or "withdraws half after 6 months" (split into two phases and add).
Divide Rs. 6800 among A, B, and C in the ratio 1/2 : 1/4 : 5/16. What is the difference between the greatest and smallest parts?
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively to get a mixture worth Rs. 16.50 per kg?
A bag contains 50 P, 25 P and 10 P coins in the ratio 5:9:4, amounting to Rs. 206. Find the number of 50 P coins in the bag.
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls is 20% and 10% respectively, what will be the new ratio?
The incomes of two persons A and B are in the ratio 3:2 and their expenditures are in the ratio 5:3. If each of them saves Rs. 1000, what is A's income?
A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the initial quantity of alcohol in the given mixture.
Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. In what ratio should these two mixtures be mixed to get a new mixture containing exactly 9/13 (approx 69.23%) milk?
A milkman mixes water with milk to make a 25% profit by selling the adulterated mixture strictly at the cost price of pure milk. What is the ratio of water to milk in the new mixture?
A container holds 50 liters of pure lemonade. From this container, 5 liters of lemonade is taken out and replaced by water. This exact process is repeated two more times. How much pure lemonade is now left in the container?
In a competitive exam, the number of passed students was 4 times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2:1. What is the total number of students who initially appeared for the exam?
Rs. 5,600 is divided among A, B and C in the ratio 2 : 5 : 7. What is C's share?
What is the fourth proportional to 4, 9 and 12?
What is the compound ratio of 2 : 3, 6 : 11 and 11 : 4?
A purse contains Rs. 1, 50 p and 25 p coins in the ratio 1 : 2 : 4, worth Rs. 60 in all. How many 25 p coins are there?
A and B invest Rs. 40,000 and Rs. 60,000 in a business for a year. If the profit is Rs. 25,000, what is B's share?
If x : y = 3 : 4, what is (3x + 4y) : (5x - 2y)?
Two numbers are in the ratio 5 : 8. If 9 is added to each, the ratio becomes 8 : 11. What are the numbers?
If A : B = 3 : 4 and B : C = 6 : 7, what is A : B : C?
Rs. 8,100 is divided among A, B and C in the ratio 2/3 : 3/4 : 5/6. What is B's share?
If 2A = 3B = 4C, what is A : B : C?
What is the mean proportional between 0.08 and 0.18?
The ratio of boys to girls in a class is 5 : 4. If 6 more girls join, the ratio becomes 1 : 1. How many boys are there?
Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. What is the smaller number?
A box has 60 coins, all either 25 p or 50 p, worth Rs. 22.50 in total. How many 50 p coins are there?
The incomes of A and B are in the ratio 4 : 3. A saves 25% of his income and B saves 20% of his. If A's savings exceed B's by Rs. 3,600, what is B's income?
A starts a business with Rs. 45,000. Five months later, B joins with Rs. 60,000. At the end of the year, the profit is Rs. 48,000. What is A's share?
A and B start a business with Rs. 20,000 and Rs. 30,000. After 4 months A adds Rs. 10,000, and after 8 months B withdraws Rs. 5,000. Out of an annual profit of Rs. 66,000, what is A's share?
A is 60% more efficient than B. If B alone takes 24 days to finish a job, how many days does A alone take?
The ratio of boys to girls in a school is 3 : 2. If 20% of the boys and 25% of the girls hold scholarships, what percentage of the students do NOT hold a scholarship?
A, B and C enter into a partnership. A invests 3 times as much as B, and B invests two-thirds of what C invests. If the total profit is Rs. 6,600, what is B's share?
A invests Rs. x for 12 months, B invests Rs. 2x for 6 months and C invests Rs. 3x for 4 months. In what ratio should the profit be divided?
What number must be added to each of 6, 14, 18 and 38 so that the four numbers become proportional?
The prices of two phones were in the ratio 16 : 23. Later, the first phone's price rose by 10% and the second's by Rs. 477, making the ratio 11 : 20. What was the original price of the first phone?
The values of the Rs. 1, 50 p and 25 p coins in a box are in the ratio 1 : 2 : 3, and the total value is Rs. 120. How many coins are there in all?
The ratio of a family's income to its expenditure is 7 : 5. If income rises by 20% and expenditure by 30%, what happens to its savings?
A invests Rs. 50,000 and B invests Rs. 30,000. B, a working partner, first receives 10% of the profit as a salary; the rest is shared in the ratio of their capitals. If the total profit is Rs. 1,60,000, how much does B receive in all?
A invests Rs. 20,000 for 12 months, B invests Rs. 30,000 for 8 months, and C invests for 6 months. If C's share is one-third of the total profit, how much did C invest?