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45 solved questions · 16 easy · 19 medium · 10 hard
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A company has 600 employees spread over three departments. Technology has 40% of the employees, Sales has 25%, and the rest are in Operations. In Technology 30% of the staff are women, in Sales 40% are women, and in Operations 50% are women.
How many employees are in Operations?
Answer: A. 210
Solution
Operations = 100% - 40% - 25% = 35% 35% of 600 = 210 Answer: 210
A company has 600 employees spread over three departments. Technology has 40% of the employees, Sales has 25%, and the rest are in Operations. In Technology 30% of the staff are women, in Sales 40% are women, and in Operations 50% are women.
How many women work in Technology?
Answer: B. 72
Solution
Technology = 40% of 600 = 240 Women = 30% of 240 = 72 Answer: 72
Ravi buys a phone for ₹20,000 and sells it to Meena at a profit of 15%. Meena sells it to Arun at a loss of 10%. Arun then sells it to a shop at a profit of 20%.
At what price did Meena buy the phone?
Answer: A. ₹23,000
Solution
Ravi's SP = 20,000 + 15% of 20,000 = 20,000 + 3,000 = ₹23,000 Answer: ₹23,000
Ravi buys a phone for ₹20,000 and sells it to Meena at a profit of 15%. Meena sells it to Arun at a loss of 10%. Arun then sells it to a shop at a profit of 20%.
At what price did Arun buy the phone?
Answer: B. ₹20,700
Solution
Meena's CP = ₹23,000 Loss 10% = 2,300 Arun's CP = 23,000 - 2,300 = ₹20,700 Answer: ₹20,700
A school has 1,000 students, with the ratio of boys to girls being 7 : 3. In the annual examination 60% of the boys and 80% of the girls passed.
How many girls are there in the school?
Answer: A. 300
Solution
Girls = 3/10 x 1,000 = 300 Answer: 300
A school has 1,000 students, with the ratio of boys to girls being 7 : 3. In the annual examination 60% of the boys and 80% of the girls passed.
How many girls passed the examination?
Answer: B. 240
Solution
Girls = 300 Passed = 80% of 300 = 240 Answer: 240
Asha, Bala and Chitra travel from city P to city Q, a distance of 240 km. Asha drives a car at 80 km/h without stopping. Bala takes a bus at 60 km/h without stopping. Chitra takes a train that runs at 120 km/h but makes stops totalling 30 minutes on the way.
How long does Asha take to reach Q?
Answer: A. 3 hours
Solution
Time = 240/80 = 3 hours Answer: 3 hours
Asha, Bala and Chitra travel from city P to city Q, a distance of 240 km. Asha drives a car at 80 km/h without stopping. Bala takes a bus at 60 km/h without stopping. Chitra takes a train that runs at 120 km/h but makes stops totalling 30 minutes on the way.
If Bala leaves P at 7:00 a.m., at what time does he reach Q?
Answer: B. 11:00 a.m.
Solution
Time = 240/60 = 4 hours 7:00 + 4 hours = 11:00 a.m. Answer: 11:00 a.m.
Neha divides her savings of ₹5,00,000 among a fixed deposit, a mutual fund and gold in the ratio 40 : 35 : 25. In one year the fixed deposit earned 8%, the mutual fund earned 12%, and the gold lost 4% of its value.
How much did Neha invest in the mutual fund?
Answer: A. ₹1,75,000
Solution
Mutual fund share = 35/100 x 5,00,000 = ₹1,75,000 Answer: ₹1,75,000
Neha divides her savings of ₹5,00,000 among a fixed deposit, a mutual fund and gold in the ratio 40 : 35 : 25. In one year the fixed deposit earned 8%, the mutual fund earned 12%, and the gold lost 4% of its value.
How much did she earn from the mutual fund?
Answer: B. ₹21,000
Solution
12% of 1,75,000 = ₹21,000 Answer: ₹21,000
The population of a town was 80,000 in 2020. It grew by 10% in 2021 and by 5% in 2022, but fell by 10% in 2023 because of migration.
What was the population in 2021?
Answer: B. 88,000
Solution
10% of 80,000 = 8,000 2021 population = 80,000 + 8,000 = 88,000 Answer: 88,000
Mr. Sharma earns ₹60,000 per month. He spends 30% on rent, 20% on food and 10% on transport. Of the money left after these three expenses, he spends 15% on entertainment and saves the rest.
How much does he pay as rent per month?
Answer: A. ₹18,000
Solution
30% of 60,000 = ₹18,000 Answer: ₹18,000
In a survey of 500 students, 300 said they like cricket and 200 said they like football. 80 students like both games.
How many students like only cricket?
Answer: A. 220
Solution
Only cricket = 300 - 80 = 220 Answer: 220
A tank of capacity 1,200 litres can be filled by pipe A in 20 minutes and by pipe B in 30 minutes. Pipe C can empty the full tank in 60 minutes.
How many litres per minute does pipe A deliver?
Answer: A. 60
Solution
Rate of A = 1,200/20 = 60 litres per minute Answer: 60
In a T20 match India scored 180 runs in 20 overs. Rohit scored 40% of the team total off 48 balls, Kohli scored 25% of the total, Hardik scored 30 runs and the team got 12 extras. The remaining runs were scored by the other batters.
How many runs did Rohit score?
Answer: A. 72
Solution
40% of 180 = 72 Answer: 72
In a T20 match India scored 180 runs in 20 overs. Rohit scored 40% of the team total off 48 balls, Kohli scored 25% of the total, Hardik scored 30 runs and the team got 12 extras. The remaining runs were scored by the other batters.
What was India's run rate per over?
Answer: B. 9
Solution
Run rate = 180/20 = 9 runs per over Answer: 9
A company has 600 employees spread over three departments. Technology has 40% of the employees, Sales has 25%, and the rest are in Operations. In Technology 30% of the staff are women, in Sales 40% are women, and in Operations 50% are women.
What is the total number of women in the company?
Answer: C. 237
Solution
Technology women = 72 Sales = 25% of 600 = 150, women = 40% of 150 = 60 Operations = 210, women = 50% of 210 = 105 Total = 72 + 60 + 105 = 237 Answer: 237
A company has 600 employees spread over three departments. Technology has 40% of the employees, Sales has 25%, and the rest are in Operations. In Technology 30% of the staff are women, in Sales 40% are women, and in Operations 50% are women.
What percentage of all employees are women?
Answer: D. 39.5%
Solution
Total women = 237 Percentage = 237/600 x 100 = 39.5% Answer: 39.5%
Ravi buys a phone for ₹20,000 and sells it to Meena at a profit of 15%. Meena sells it to Arun at a loss of 10%. Arun then sells it to a shop at a profit of 20%.
At what price did Arun sell the phone to the shop?
Answer: C. ₹24,840
Solution
Arun's CP = ₹20,700 Profit 20% = 4,140 SP = 20,700 + 4,140 = ₹24,840 Answer: ₹24,840
A school has 1,000 students, with the ratio of boys to girls being 7 : 3. In the annual examination 60% of the boys and 80% of the girls passed.
What percentage of the students passed overall?
Answer: C. 66%
Solution
Boys passed = 60% of 700 = 420 Girls passed = 240 Total passed = 660 660/1,000 x 100 = 66% Answer: 66%
Shortcut: Weighted average: 0.7 x 60 + 0.3 x 80 = 42 + 24 = 66%.
Asha, Bala and Chitra travel from city P to city Q, a distance of 240 km. Asha drives a car at 80 km/h without stopping. Bala takes a bus at 60 km/h without stopping. Chitra takes a train that runs at 120 km/h but makes stops totalling 30 minutes on the way.
What is the difference between the journey times of the fastest and the slowest traveller?
Answer: C. 1 hour 30 minutes
Solution
Asha = 3 h, Bala = 4 h Chitra = 240/120 + 0.5 = 2.5 h Fastest = Chitra (2.5 h), slowest = Bala (4 h) Difference = 1.5 h = 1 hour 30 minutes Answer: 1 hour 30 minutes
Neha divides her savings of ₹5,00,000 among a fixed deposit, a mutual fund and gold in the ratio 40 : 35 : 25. In one year the fixed deposit earned 8%, the mutual fund earned 12%, and the gold lost 4% of its value.
What was her net gain over the year?
Answer: C. ₹32,000
Solution
FD gain = 8% of 2,00,000 = 16,000 MF gain = 21,000 Gold loss = 4% of 1,25,000 = 5,000 Net = 16,000 + 21,000 - 5,000 = ₹32,000 Answer: ₹32,000
Neha divides her savings of ₹5,00,000 among a fixed deposit, a mutual fund and gold in the ratio 40 : 35 : 25. In one year the fixed deposit earned 8%, the mutual fund earned 12%, and the gold lost 4% of its value.
What was the overall return on the total investment?
Answer: D. 6.4%
Solution
Net gain = ₹32,000 32,000/5,00,000 x 100 = 6.4% Answer: 6.4%
The population of a town was 80,000 in 2020. It grew by 10% in 2021 and by 5% in 2022, but fell by 10% in 2023 because of migration.
What was the population at the end of 2022?
Answer: C. 92,400
Solution
2021 = 88,000 5% of 88,000 = 4,400 2022 = 88,000 + 4,400 = 92,400 Answer: 92,400
The population of a town was 80,000 in 2020. It grew by 10% in 2021 and by 5% in 2022, but fell by 10% in 2023 because of migration.
What was the population at the end of 2023?
Answer: D. 83,160
Solution
2022 = 92,400 10% of 92,400 = 9,240 2023 = 92,400 - 9,240 = 83,160 Answer: 83,160
A factory has three machines X, Y and Z, each running 8 hours a day. Machine X makes 120 units per hour. Machine Y makes 25% more units per hour than X. Machine Z makes 20% fewer units per hour than Y. The defect rates are 5% for X, 2% for Y and 10% for Z.
How many units do the three machines make together in a day?
Answer: B. 3,120
Solution
Y = 120 x 1.25 = 150 per hour Z = 150 x 0.80 = 120 per hour Total per hour = 120 + 150 + 120 = 390 Per day = 390 x 8 = 3,120 Answer: 3,120
A factory has three machines X, Y and Z, each running 8 hours a day. Machine X makes 120 units per hour. Machine Y makes 25% more units per hour than X. Machine Z makes 20% fewer units per hour than Y. The defect rates are 5% for X, 2% for Y and 10% for Z.
How many defective units are produced in a day?
Answer: C. 168
Solution
X: 5% of 960 = 48 Y: 2% of 1,200 = 24 Z: 10% of 960 = 96 Total = 48 + 24 + 96 = 168 Answer: 168
Mr. Sharma earns ₹60,000 per month. He spends 30% on rent, 20% on food and 10% on transport. Of the money left after these three expenses, he spends 15% on entertainment and saves the rest.
How much does he save each month?
Answer: B. ₹20,400
Solution
Rent + food + transport = 18,000 + 12,000 + 6,000 = 36,000 Left = 60,000 - 36,000 = 24,000 Entertainment = 15% of 24,000 = 3,600 Savings = 24,000 - 3,600 = ₹20,400 Answer: ₹20,400
Mr. Sharma earns ₹60,000 per month. He spends 30% on rent, 20% on food and 10% on transport. Of the money left after these three expenses, he spends 15% on entertainment and saves the rest.
His savings are what percentage of his income?
Answer: C. 34%
Solution
Savings = ₹20,400 20,400/60,000 x 100 = 34% Answer: 34%
Shortcut: Left = 40% of income; savings = 85% of 40% = 34%.
In a survey of 500 students, 300 said they like cricket and 200 said they like football. 80 students like both games.
How many students like neither cricket nor football?
Answer: B. 80
Solution
Either game = 300 + 200 - 80 = 420 Neither = 500 - 420 = 80 Answer: 80
In a survey of 500 students, 300 said they like cricket and 200 said they like football. 80 students like both games.
What percentage of the football lovers also like cricket?
Answer: C. 40%
Solution
Football lovers = 200, of whom 80 like cricket 80/200 x 100 = 40% Answer: 40%
A tank of capacity 1,200 litres can be filled by pipe A in 20 minutes and by pipe B in 30 minutes. Pipe C can empty the full tank in 60 minutes.
If only pipes A and C are open, how long does the empty tank take to fill?
Answer: B. 30 minutes
Solution
A = 60 L/min, C = 1,200/60 = 20 L/min (outlet) Net = 60 - 20 = 40 L/min Time = 1,200/40 = 30 minutes Answer: 30 minutes
A tank of capacity 1,200 litres can be filled by pipe A in 20 minutes and by pipe B in 30 minutes. Pipe C can empty the full tank in 60 minutes.
If all three pipes are open together, how long does the empty tank take to fill?
Answer: C. 15 minutes
Solution
A = 60, B = 1,200/30 = 40, C = -20 L/min Net = 60 + 40 - 20 = 80 L/min Time = 1,200/80 = 15 minutes Answer: 15 minutes
Shortcut: Fractions: 1/20 + 1/30 - 1/60 = (3 + 2 - 1)/60 = 4/60 = 1/15.
In a T20 match India scored 180 runs in 20 overs. Rohit scored 40% of the team total off 48 balls, Kohli scored 25% of the total, Hardik scored 30 runs and the team got 12 extras. The remaining runs were scored by the other batters.
What was Rohit's strike rate?
Answer: C. 150
Solution
Strike rate = runs/balls x 100 = 72/48 x 100 = 150 Answer: 150
In a T20 match India scored 180 runs in 20 overs. Rohit scored 40% of the team total off 48 balls, Kohli scored 25% of the total, Hardik scored 30 runs and the team got 12 extras. The remaining runs were scored by the other batters.
How many runs were scored by the other batters?
Answer: D. 21
Solution
Rohit = 72, Kohli = 25% of 180 = 45, Hardik = 30, extras = 12 Sum = 159 Others = 180 - 159 = 21 Answer: 21
Ravi buys a phone for ₹20,000 and sells it to Meena at a profit of 15%. Meena sells it to Arun at a loss of 10%. Arun then sells it to a shop at a profit of 20%.
The final selling price is what percentage more than Ravi's original cost price?
Answer: D. 24.2%
Solution
Final price = ₹24,840; Ravi's cost = ₹20,000 Increase = 4,840 4,840/20,000 x 100 = 24.2% Answer: 24.2%
Shortcut: Multipliers: 1.15 x 0.90 x 1.20 = 1.242, i.e. 24.2% more.
A school has 1,000 students, with the ratio of boys to girls being 7 : 3. In the annual examination 60% of the boys and 80% of the girls passed.
How many more students should have passed for the overall pass percentage to be 75%?
Answer: D. 90
Solution
Needed passes = 75% of 1,000 = 750 Actual passes = 660 Extra = 750 - 660 = 90 Answer: 90
Asha, Bala and Chitra travel from city P to city Q, a distance of 240 km. Asha drives a car at 80 km/h without stopping. Bala takes a bus at 60 km/h without stopping. Chitra takes a train that runs at 120 km/h but makes stops totalling 30 minutes on the way.
Bala leaves P at 7:00 a.m. and Asha leaves at 7:45 a.m. At what distance from P does Asha overtake Bala?
Answer: D. 180 km
Solution
Bala's head start = 0.75 h x 60 = 45 km Relative speed = 80 - 60 = 20 km/h Time to catch up = 45/20 = 2.25 h Distance = 80 x 2.25 = 180 km Answer: 180 km
Neha divides her savings of ₹5,00,000 among a fixed deposit, a mutual fund and gold in the ratio 40 : 35 : 25. In one year the fixed deposit earned 8%, the mutual fund earned 12%, and the gold lost 4% of its value.
What return on gold would have made the overall return exactly 8%?
Answer: A. 2.4% gain
Solution
Target gain = 8% of 5,00,000 = 40,000 Gain from FD and MF = 16,000 + 21,000 = 37,000 Gold must earn 3,000 3,000/1,25,000 x 100 = 2.4% gain Answer: 2.4% gain
The population of a town was 80,000 in 2020. It grew by 10% in 2021 and by 5% in 2022, but fell by 10% in 2023 because of migration.
The 2023 population is what percentage change compared with 2020?
Answer: A. 3.95% increase
Solution
2023 = 83,160; 2020 = 80,000 Change = 3,160 3,160/80,000 x 100 = 3.95% (increase) Answer: 3.95% increase
Shortcut: Net factor = 1.10 x 1.05 x 0.90 = 1.0395, i.e. +3.95%.
A factory has three machines X, Y and Z, each running 8 hours a day. Machine X makes 120 units per hour. Machine Y makes 25% more units per hour than X. Machine Z makes 20% fewer units per hour than Y. The defect rates are 5% for X, 2% for Y and 10% for Z.
How many non-defective units are produced in a day?
Answer: D. 2,952
Solution
Total = 3,120 Defective = 168 Good = 3,120 - 168 = 2,952 Answer: 2,952
Mr. Sharma earns ₹60,000 per month. He spends 30% on rent, 20% on food and 10% on transport. Of the money left after these three expenses, he spends 15% on entertainment and saves the rest.
His income rises by 20%, but rent, food and transport stay at the same rupee amounts. Entertainment remains 15% of what is left. By what percentage do his savings increase?
Answer: D. 50%
Solution
New income = 1.2 x 60,000 = 72,000 Fixed expenses = 36,000, left = 36,000 Entertainment = 5,400, savings = 30,600 Increase = 30,600 - 20,400 = 10,200 10,200/20,400 x 100 = 50% Answer: 50%
In a survey of 500 students, 300 said they like cricket and 200 said they like football. 80 students like both games.
Among the students who like exactly one of the two games, what is the ratio of cricket-only to football-only?
Answer: D. 11 : 6
Solution
Cricket only = 300 - 80 = 220 Football only = 200 - 80 = 120 Ratio = 220 : 120 = 11 : 6 Answer: 11 : 6
A tank of capacity 1,200 litres can be filled by pipe A in 20 minutes and by pipe B in 30 minutes. Pipe C can empty the full tank in 60 minutes.
Pipes A and B are opened together on the empty tank. After 5 minutes pipe C is also opened. How many minutes in all does it take to fill the tank?
Answer: D. 13.75 minutes
Solution
A + B = 100 L/min, so in 5 min = 500 L Remaining = 700 L With C open, net = 100 - 20 = 80 L/min Time for the rest = 700/80 = 8.75 min Total = 5 + 8.75 = 13.75 minutes Answer: 13.75 minutes
In a T20 match India scored 180 runs in 20 overs. Rohit scored 40% of the team total off 48 balls, Kohli scored 25% of the total, Hardik scored 30 runs and the team got 12 extras. The remaining runs were scored by the other batters.
Pakistan chase 181 and score 82 in the first 10 overs. What run rate per over is needed in the last 10 overs to win?
Answer: A. 9.9
Solution
Target = 181 (they must beat 180) Runs still needed = 181 - 82 = 99 Required rate = 99/10 = 9.9 per over Answer: 9.9
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