Solved Most Repeated MCQs MCQs with answers and explanations. Free practice questions for PPSC, FPSC, CSS and other government job exams on FreeSekho.
1. A father is currently three times older than his son Ali. After 8 years, the father’s age will be 2.5 times Ali’s age. After another 8 years, how many times older will the father be than Ali?
2. The total ages of 5 children, each born 3 years apart, is 50 years. What is the age of the youngest child?
3. A father said to his son, “I was your current age when you were born.” If the father is now 38 years old, what was the son’s age 5 years ago?
4. A is 2 years older than B, and B is twice as old as C. If the total of their ages is 27, how old is B?
5. Sameer and Anand have present ages in the ratio 5:4. After 3 years, their age ratio will be 11:9. What is Anand’s current age?
6. A man is 24 years older than his son. In 2 years, he will be twice as old as his son. What is the present age of his son?
7. Six years ago, Usman and Rauf’s ages were in the ratio 6:5. Four years from now, their ages will be in the ratio 11:10. What is Rauf’s current age?
8. The combined present ages of a father and his son are 60 years. Six years ago, the father was five times as old as the son. What will be the son’s age after 6 years?
9. Currently, Fazal and Bilal’s ages are in the ratio 4:3. After 6 years, Fazal will be 26 years old. What is Bilal’s present age?
10. Sohail is 7 years younger than Rizwan. If their ages are in the ratio 7:9, what is Sohail’s current age?
11. The current ages of three people are in the ratio 4:7:9. Eight years ago, the sum of their ages was 56. What are their present ages?
12. Ayesha’s father was 38 years old when she was born, and her mother was 36 years old when her brother, who is 4 years younger than Ayesha, was born. What is the age difference between her parents?
13. A person’s current age is two-fifths of his mother’s age. After 8 years, he will be half her age. How old is the mother now?
14. Q is as much younger than R as he is older than T. If the combined ages of R and T total 50 years, what is the definite difference between R and Q’s age?
15. Ten years ago, a father was three times as old as his son. Ten years from now, he will be twice his son’s age. What is the ratio of their current ages?
16. A person crosses a 600 m street in 5 minutes. What is his speed in km/h?
17. An airplane covers a certain distance at 240 km/h in 5 hours. To cover the same distance in 1 hour, what speed must it travel?
18. If a person walks at 14 km/h instead of 10 km/h, he would have traveled 20 km more. What is the actual distance he traveled?
19. A train travels 50% faster than a car. Both start from the same point and reach a destination 75 km away at the same time. If the train stops for 12.5 minutes along the way, what is the speed of the car?
20. A bus travels at 54 km/h excluding stoppages, and 45 km/h including stoppages. For how many minutes per hour does the bus stop?
21. On a 600 km flight, bad weather reduces the plane’s speed by 200 km/h, increasing the flight time by 30 minutes. What is the original duration of the flight?
22. A man completes a journey in 10 hours, traveling the first half at 21 km/h and the second half at 24 km/h. What is the total distance of the journey?
23. The speeds of two trains are in the ratio 7:8. If the second train covers 400 km in 4 hours, what is the speed of the first train?
24. A man travels the first 160 km of a tour at 64 km/h and the next 160 km at 80 km/h. What is his average speed for the first 320 km?
25. A car traveling at ( \frac{6}{7} ) of its actual speed covers 42 km in 1 hour 40 minutes 48 seconds. What is the car’s actual speed?
26. Abid covers 30 km and takes 2 hours more than Sameer. If Abid doubles his speed, he would take 1 hour less than Sameer. What is Abid’s speed?
27. Rashid plans to reach point A at 2 P.M. If he cycles at 10 km/h, he will arrive at 12 noon; at 15 km/h, he would arrive earlier. At what speed must he cycle to reach A at 1 P.M.?
28. A 600 km journey takes 8 hours. If 120 km is covered by train and the rest by car, it takes 20 minutes more when 200 km is done by train. What is the ratio of the train’s speed to the car’s speed?
29. A farmer travels 61 km in 9 hours, partly on foot at 4 km/h and partly on bicycle at 9 km/h. What distance did he cover on foot?
30. A man covers a certain distance at a particular speed. If he had gone 3 km/h faster, he would have taken 40 minutes less; if 2 km/h slower, he would have taken 40 minutes more. What is the distance?
31. A bank offers 5% compound interest, calculated half-yearly. A customer deposits Rs. 1600 on 1st January and another Rs. 1600 on 1st July. How much interest will he earn by the end of the year?
32. The difference between the simple interest and compound interest (compounded annually) on a sum for 2 years at 4% per annum is Re. 1. What is the principal amount?
33. An amount increases by 60% in 6 years at simple interest. What will be the compound interest on Rs. 12,000 at the same rate for 3 years?
34. Find the difference between the compound interest on Rs. 5000 for 1 year at 4% per annum when interest is compounded annually and half-yearly.
35. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. What is the time period (in years)?
36. What is the compound interest on Rs. 25,000 for 3 years at 12% per annum?
37. At what annual compound interest rate will Rs. 1200 grow to Rs. 1348.32 in 2 years?
38. What is the minimum number of complete years required for a sum of money invested at 20% compound interest per annum to more than double?
39. Albert invests Rs. 8000 in a fixed deposit for 2 years at 5% compound interest per annum. How much will he receive on maturity?
40. The effective annual interest rate for a nominal rate of 6% per annum, compounded half-yearly, is:
41. Simple interest on a certain sum for 3 years at 8% per annum equals half the compound interest on Rs. 4000 for 2 years at 10% per annum. What is the sum placed on simple interest?
42. If simple interest on a sum for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the same rate for the same period?
43. The difference between the simple interest and compound interest on Rs. 1200 for 1 year at 10% per annum, compounded half-yearly, is:
44. The difference between compound interest and simple interest on Rs. 15,000 for 2 years is Rs. 96. What is the annual rate of interest?
45. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. What is the simple interest on the same sum for twice the period at half the rate per annum?
46. In the first 10 overs of a cricket match, the team scored at a run rate of 3.2. What should be the run rate for the remaining 40 overs to achieve a total of 282 runs?
47. A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 67 years, the parents’ average age is 35 years, and the grandchildren’s average age is 6 years. What is the average age of the entire family?
48. A grocer’s sales for five consecutive months are Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230, and Rs. 6562. What must his sales be in the sixth month to achieve an average monthly sale of Rs. 6500?
49. The average of 20 numbers is zero. What is the maximum number of values that can be positive?
50. The average weight of 8 people increases by 2.5 kg when one person weighing 65 kg is replaced by a new person. What is the weight of the new person?
51. In a cricket team of 11 players, the captain is 26 years old and the wicket-keeper is 29. If these two are excluded, the average age of the remaining players is 1 year less than the team’s average. What is the average age of the whole team?
52. The average monthly income of P and Q is Rs. 5050, of Q and R is Rs. 6250, and of P and R is Rs. 5200. What is the monthly income of P?
53. Three years ago, the average age of a husband, wife, and their child was 27 years, and five years ago, the average age of the wife and child was 20 years. What is the husband’s current age?
54. A car owner buys petrol at Rs. 7.50, Rs. 8, and Rs. 8.50 per litre over three successive years, spending Rs. 4000 each year. What is the approximate average cost per litre of petrol?
55. Arun estimates his weight to be between 65 kg and 72 kg. His brother thinks it is between 60 kg and 70 kg. Their mother believes it cannot exceed 68 kg. If all estimates are correct, what is the average of Arun’s possible weights?
56. The average weight of A, B, and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, what is the weight of B?
57. In a class, the average weight of 16 boys is 50.25 kg, and the average weight of the remaining 8 boys is 45.15 kg. What is the overall average weight of all the boys?
58. A library has an average of 510 visitors on Sundays and 240 on other days. In a 30-day month starting on a Sunday, what is the average number of visitors per day?
59. Three batches of students, containing 55, 60, and 45 students, have average marks of 50, 55, and 60 respectively. What is the overall average marks of all the students?
60. A pupil’s marks were incorrectly recorded as 83 instead of 63, which caused the class average to increase by 0.5. How many students are there in the class?
61. Alfred buys a used scooter for Rs. 4700 and spends Rs. 800 on repairs. He sells it for Rs. 5800. Gain % is:
62. The cost price of 20 items equals the selling price of x items. If profit is 25%, x = ?
63. If selling price is doubled, profit triples. Profit % = ?
64. Profit is 320% of cost price. Cost increases by 25% while selling price remains same. Profit as % of S.P. ≈ ?
65. A vendor buys toffees at 6 for a rupee. How many must he sell for a rupee to gain 20%?
66. Selling an article for Rs. 1920 gives % profit equal to % loss if sold for Rs. 1280. Price to sell for 25% profit = ?
67. Shopkeeper expects a 22.5% gain. Weekly sales = Rs. 392. Profit = ?
68. A man buys a cycle for Rs. 1400 and sells at 15% loss. Selling price = ?
69. Sam buys 20 dozens of toys at Rs. 375 per dozen and sells each toy at Rs. 33. Profit % = ?
70. Articles are bought at 6 for Rs. 5 and sold at 5 for Rs. 6. Gain % = ?
71. Selling 17 balls at Rs. 720 causes a loss equal to the cost of 5 balls. Cost price of 1 ball = ?
72. A plot is sold for Rs. 18,700 at 15% loss. Selling price to gain 15% = ?
73. 100 oranges are bought for Rs. 350 and sold at Rs. 48 per dozen. Profit or loss % = ?
74. A shopkeeper sells one transistor at Rs. 840 with 20% gain and another at Rs. 960 with 4% loss. Overall gain/loss % = ?
75. A trader mixes 26 kg of rice at Rs. 20/kg with 30 kg at Rs. 36/kg and sells the mixture at Rs. 30/kg. Profit % = ?
76. A batsman scored 110 runs, including 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
77. Two students appeared in an exam. One scored 9 marks more than the other, and his marks were 56% of the sum of their marks. Their scores are:
78. A fruit seller sells 40% of his apples and still has 420 apples left. How many apples did he originally have?
79. What percentage of numbers from 1 to 70 have 1 or 9 in the unit’s digit?
80. If (A = x%) of (y) and (B = y%) of (x), then:
81. If 20% of (a = b), then (b%) of 20 is:
82. In a school, 20% of students are below 8 years of age. The number of students above 8 years is 48. What is the total number of students?
83. Two numbers A and B satisfy: 5% of A + 4% of B = 2/3 of (6% of A + 8% of B). Find the ratio A : B.
84. A student multiplied a number by 3 instead of 5. What is the percentage error in the calculation?
85. In an election between two candidates, one got 55% of the valid votes. If 20% of the votes were invalid and the total votes were 7,500, how many valid votes did the other candidate receive?
86. Three candidates received 1,136, 7,636, and 11,628 votes respectively. What percentage of the total votes did the winning candidate get?
87. Three candidates received 1,136, 7,636, and 11,628 votes respectively. What percentage of the total votes did the winning candidate get?
88. Two tailors, X and Y, are paid a total of Rs. 550 per week. If X is paid 120% of what Y gets, how much does Y earn per week?
89. Gauri bought items worth Rs. 25, including 30 paise as sales tax at 6% on taxable items. What was the cost of the tax-free items?
90. Rajeev buys goods worth Rs. 6,650, gets a rebate of 6%, and then pays 10% sales tax on the discounted price. What is the total amount he pays?
91. The population of a town increased from 175,000 to 262,500 in a decade. What is the average annual percent increase?
92. A sum amounts to Rs. 815 in 3 years and Rs. 854 in 4 years at simple interest. Find the sum.
93. Mr. Thomas invests Rs. 13,900 in two schemes, A at 14% p.a. and B at 11% p.a. The total simple interest in 2 years is Rs. 3,508. How much was invested in Scheme B?
94. A sum earns Rs. 4,016.25 as simple interest at 9% p.a. in 5 years. Find the principal.
95. How long will it take for Rs. 450 to earn Rs. 81 as simple interest at 4.5% p.a.?
96. Reena borrowed Rs. 1,200 at simple interest for as many years as the rate of interest. She paid Rs. 432 as interest. What was the rate of interest?
97. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at simple interest. Find the rate of interest.
98. An automobile financier charges simple interest but compounds it every six months. If the nominal rate is 10%, what is the effective rate?
99. A lends Rs. 5,000 to B for 2 years and Rs. 3,000 to C for 4 years at the same simple interest rate. The total interest received is Rs. 2,200. Find the rate of interest per annum.
100. . A sum of Rs. 725 is lent at a certain rate. After 8 months, Rs. 362.50 more is lent at twice the original rate. Total interest at the end of the year is Rs. 33.50. Find the original rate of interest.
101. A man borrowed money at 12% p.a. simple interest. After 3 years, he paid Rs. 5,400 as interest. Find the principal.
102. A sum amounts to Rs. 9,800 in 5 years and Rs. 12,005 in 8 years at the same simple interest rate. Find the rate of interest per annum.
103. Find the ratio of simple interest earned on the same principal at the same rate for 6 years and 9 years.
104. A sum earns Rs. 1,750 as simple interest in 7 years. If the rate were 2% higher, how much more interest would be earned?
105. A person borrows Rs. 5,000 for 2 years at 4% p.a. simple interest and immediately lends it to another at 6% p.a. for 2 years. Find his gain per year.
106. A and B together have Rs. 1,210. If 4/5 of A’s amount equals 2/3 of B’s amount, how much does B have?
107. Two numbers are 20% and 50% more than a third number. The ratio of the two numbers is:
108. A sum is divided among A, B, C, D in the ratio 5 : 2 : 4 : 3. If C gets Rs. 1,000 more than D, what is B’s share?
109. Seats for Mathematics, Physics, and Biology are in the ratio 5 : 7 : 8. If seats are increased by 40%, 50%, and 75% respectively, the new ratio is:
110. In a 60-litre mixture, milk and water are in the ratio 2 : 1. To change the ratio to 1 : 2, how much water must be added?
111. The ratio of boys to girls in a college is 7 : 8. If boys increase by 20% and girls by 10%, the new ratio is:
112. The salaries of Raiz and Salman are in the ratio 2 : 3. If each salary is increased by Rs. 4,000, the new ratio becomes 40 : 57. What is Salman’s salary?
113. If (0.75 : x :: 5 : 8), then the value of (x) is:
114. The sum of three numbers is 98. If the first number to the second is 2 : 3 and the second to the third is 5 : 8, the second number is:
115. Rs. 782 is divided into three parts in the ratio : : . The first part is:
