**Math Practice Set for Competitive Exams:** Today we will discuss **Math Practice Set** in this article. Especially those job aspirants who are preparing themselves for government jobs will benefit from this article today. Below are some maths questions with answers in competitive exam that you can practice. Our website always writes articles on **educational topics, follow our website to get such interesting educational information.**

**Math Practice Set for Competitive Exams**

**1. A, B, C invest Rs 10,000, Rs 14,000 and Rs 12,000 respectively in a business. If they get a profit of Rs.5,400 at the end of the year and receive dividend in proportion to the capital, how much is B’s dividend?**

a) 1500

b) 2100

c) 1800

d) 1550

**Answer-** b) 2100

**2. 12 men can do a road in 15 days. How many days will 10 people do this road?**

A) in 18 days

B) in 12 days

C) in 18 days

D) in 15 days

**Answer-** A) In 18 days

**3. 5 masons can build a wall of 128 square meters in 4 days, but how long will it take 10 masons to build a wall of 320 square meters?**

A) 10 days

B) 11 days

C) 12 days

D) 5 days

**Answer-** d) 5 days

**4.** **In a cultivated field 30 men cut half the paddy of the field in 5 days. But the next day 5 people fell ill and did not come to work, how many days will it take to harvest the rest of the paddy?**

A) 7 days

B) 8 days

C) 6 days

D) 5 days

**Answer-** D) 6 days

**5.** **25 men can build 115 km of road in a day. How many meters of road can 55 people build per day?**

A) 253 m

B) 251 m

C) 252 m

D) 254 m

**Answer-** A) 253 m

**6.** **A farmer can cultivate 3 bighas of land in 5 days with one of his tractors. If the total amount of land is 12 bigha, how much time will it take?**

A) 10 days

B) 15 days

C) 20 days

D) 25 days

**Answer-** C) 20 days.

**7.** **An ashram had 190 days of food stock for 4000 people. After 30 days 800 people left the ashram. How long will they last on the remaining food?**

A) 120 days

B) 300 days

C) 150 days

D) 200 days

**Answer-** D) 200 days

**8. 4 men working 7 hours a day can do a piece of work in 8 days. How many people can complete the work in 4 days if they work for 8 hours a day?**

A) 10 people

B) 8 people

C) 7 people

D) 5 people

**Answer-** C) 7 people

**9.** **7 laborers can wall a house in 6 days. If 14 workers work in how much time will the house be built?**

A) In 3 days

B) In 4 days

C) In 5 days

D) In 6 days

**Answer-** A) In 3 days

**10.** **A and B do a piece of work in 30 days, B and C in 40 days and C alone in 60 days, in how many days will A alone complete the work?**

a) in 30 days

b) in 50 days

c) in 40 days

d) in 70 days

**Answer-** c) in 40 days

**Math Practice Set for Competitive Exams**

**11. If A’s income is 20% more than B’s income, how much less is B’s income than A’s income? **

a) 20 %

b) 10 %

c) 16 2/3 %

d) 40 %

**Answer-** c) 16 2/3 %

**12. P’s income is 25% more than Q’s income. Q’s income is 20% more than R’s. How much more is P’s income than R’s income?**

a) 20 %

b) 10 %

C) 40 %

d) 50 %

**Answer-** d) 50 %**13. Out of 50 students in a class 25 take Bengali and 16 take Hindi. 12 students did not keep any language. How many students have kept both languages?**

a) 9

b) 4

c) 3

d) 13

**Answer-** c) 3

**14. If the interest of a sum of money for 2 years is Rs.300 at 6% simple interest per annum, what will be the compound interest of that sum at the same interest and time?**

a) 310 Rs

b) 308 Rs

C) 307 Rs

d) 309 Rs

**Answer-** d) 309 Rs

**15.** **Simple interest at 5 % per annum is 6 times the interest-principal at a given time. What is the annual rate of interest at that particular time if the interest is 12 times the original?**

a) 10%

b) 12 %

c) 9%

d) 11%

**Answer-** d) 11 %

**16.** **A person deposits Rs.2400 in a bank at 5% simple interest per annum. How many years will he have to wait to buy a thing with 3000 rupees from that money?**

a) 2 years

b) 2 1/2 years

c) 3 1/2 years

d) 5 years

**Answer-** d) 5 years

**Math Practice Set for Competitive Exams**

**Math Practice Set for Competitive Exams**

**17.** **A few months after starting a business with Rs.7500 at the beginning of the year, B joins the business with Rs.18000. At the end of the year both get equal dividends. For how many months did B join the business?**

a) 7 months

b) 5 months

c) 3 months

d) 4 months

**Answer-** b) 5 months

**18.** **If the length of a rectangular field is increased by 30% and the breadth by 20%, the change in area is : **

a) 50%

b) 59 %

c) 56 %

d) 55%

**Answer-** (c) 56 %

**19. If two numbers are 16% and 48% of the third number respectively, what is the percentage of the first number of the second number?**

a) 33 1/2 %

b) 33 1/3 %

c) 66 1/3 %

d) 33 2/3 %

**Answer-** (b) 33 1/3 %

**20. In an examination Ram gets 30% marks and fails for 15 marks and Mahon gets 40% marks and gets 35 more than pass marks. How many marks should be obtained to pass the exam?**

a) 40 %

b) 38 %

c) 33 %

d) 43 %

**Answer-** c) 33 %

**21. A’s income is 40 % of 2/5th of B’s income. If the income of B is 4000 rupees 5 then what is the income of A?**

a) 640

b) 540

c) 740

d) 950

**Answer-** a) 640

**22.** **Two trains coming at the same speed from opposite directions, each 135 meters in length, overtake each other in 18 seconds. What is the speed of the two trains?**

a) 104 km/hr

b) 27 km/hr

c) 54 km/h

d) None of these

**Answer-** b) 27 km/hr

**23.** **Two trains come from opposite directions with speeds of 12 km/hr and 6 km/hr respectively. If the first train overtakes a passenger of the second train in 10 seconds, what is the length of the first train?**

a) 50 m

b) 75 m

c) 40 m

d) 150 m

**Answer-** a) 50 m

**Math Practice Set**

**24.** **If Ram goes to the office at a speed of 3 km per hour, he is 15 minutes late in reaching the office and if he reaches the office 15 minutes early at a speed of 4 km per hour, what is the fixed time to reach the office?**

a) 1 hour

b) 1 hour 45 minutes

c) 2 hours 15 minutes

d) 2 hours

**Answer-** b) 1 hour 45 minutes

**25.** **Two persons start journeys from two places towards each other at the same time. They meet each other 9 and 6 hours after departure respectively. If the speed of the second person is 27 km per hour, what is the speed of the first person per hour?**

a) 30 km

b) 36 km

c) 48 km

d) 40 km

**Answer-** b) 36 km

**26.** **If the average of 6 consecutive odd numbers is 8, what is the difference between the largest and smallest numbers?**

a) 10

b) 12

c) 9

d) 8

**Answer-** a) 10

**27.** **If coffee priced at Tk 21 per kg is mixed with coffee priced at Tk 28 per kg in what proportion, the price of mixed coffee will be Tk 25 per kg?**

a) 4 : 3

b) 4 : 5

c) 5 : 4

d) 3 : 4

**Answer-** d) 3 : 4

**28.** **There are some rabbits and pigeons in a zoo, if they have 100 heads and 290 legs, what is the number of rabbits?**

a) 55

b) 45

c) 40

d) 50

**Answer-** b) 45

**29.** **The ratio of milk to water in a vessel is 5 : 3. If equal amount of water is mixed from that container, the ratio of milk and water in the container will be 1 : 1?**

a) 1/5 part

b) 1/7 part

c) 4/5 part

d) 3/10 part

**Answer-** a) 1/5 part

**Math Practice Set for Competitive Exams**

**Math Practice Set for Competitive Exams**

**30.** **A tank is filled in 18 minutes by three pipes A, B and C. If C is stopped after the three tubes run together for 6 minutes, how much time will it take for the calf to be filled with water by A and B tubes?**

a) 30 minutes

b) 24 minutes (c) 36 minutes

d) 45 minutes

**Answer-** (c) 36 minutes

**31. Two pipes A and B take 30 and 20 minutes to fill a cubby with water respectively. Through another tube C, 6 liters of water per minute exits the chough. When all three tubes are opened simultaneously, the filled chamber is completely emptied in 60 minutes. But what is the water holding capacity of the baby?**

a) 10 litres

b) 30 litres

c) 60 litres

d) 45 litres

**Answer-** (c) 60 litres

**32.** **Two tubes of a hopper fill the hopper in 12 and 15 minutes respectively. Another tube empties the calf. If all three tubes are opened simultaneously, the chow is full in 10 minutes. How long will the chowbachcha empty with the emptying tube?**

a) In 10 minutes

b) in 20 minutes

c) in 15 minutes

d) in 25 minutes

**Answer-** (b) in 20 minutes

**33.** **A alone can do a piece of work in 14 days and B alone in 21 days. They both start the work together, if A leaves 3 days before the completion of the work, how many days will it take to complete the work?**

a) 10 days

b) 5 days

C) 5 1/5 days

d) 10 1/5 days

**Answer-** (d) 10 1/5 days

**34.** **1 man or 2 women or 4 boys can finish a piece of work in 56 days. In how much time will 1 man, 1 woman and 1 boy complete a similar work?**

a) 24 days

b) 28 days

c) 20 days

d) 32 days

**Answer-** (d) 32 days

**35. If 50 % of P = 25 % of Q then if P = x % of Q, then x = ?**

a) 0.5

b) 2

c) 5

d) 50

**Answer-** d) 50

**36.** **It takes 3 hours to cover a distance of 36 km upstream and 3 hours to cover a distance of 24 km against the current. What is the speed of the boat in still water per hour?**

a) 12 km/hr

b) 10 km/hr

c) 4 km/hr

d) 6 km/h

**Answer-** b) 10 km/hr

**37.** **A boat travels 2 km upstream in 30 minutes and 14 km upstream in 2 hours 20 minutes. What is the speed of the current per hour?**

a) 1 km

b) 1.5 km

c) 2 km

d) 2.5 km

**Answer-** a) 1 km

**Competitive Exams** Math Practice Set

**Math Practice Set**

**Competitive Exams****38.** **A businessman purchases some books for Rs.670. 3/8 of the total book sold at a loss of 16%. If the remaining part is sold at what percentage profit, there will be no profit or loss on the net?**

a) 9 3/5 %

b) 9 2/5 %

c) 9 1/5 %

d) 8 3/5 %

**Answer-** (a) 9 3/5 %

**39.** **A person sells a camera at a profit of 5 %. If the camera was sold for Rs 120 more, the profit would have been 15%. What is the purchase price of the camera?**

a) 1300 Rs

b) 1200 Rs

c) 1100 Rs

d) 1000 rupees

**Answer-** (b) 1200 Rs

**40.** **If the market price of wheat rises by 40%, the ratio of new consumption to previous consumption will be : **

a) 9 : 20

b) 20 : 9

c) 7 : 4

d) 4 : 7

**Answer-** (c) 7 : 4

**41.** **In an examination a student fails for 55 marks with 46 % marks and another with 81 % marks scores 15 marks more than the pass mark. But how many marks were there in the exam?**

a) 350

b) 100

C) 150

d) 200

**Answer** – (d) 200

**42. In a mixture of 80 liters of milk and water, the ratio of milk to water is 3 : 1. If the mixture of milk and water is 2 : 3. How much water is added later?**

a) 70

b) 80

c) 100

d) 140

**Answer-** a) 70

**43.** **15 farm laborers can cultivate 15 bighas of land in 5 days. If 10 farm laborers work for 10 days, how much land can be cultivated?**

A) 24 Bigha

B) 26 Bigha

C) 48 Bigha

D) 10 Bigha

**Answer-** A) 24 Bigha

**44.** **The fare to travel 250 km by rail is 9 taka 50 paisa. How far can you travel for 57 rupees?**

A) 1500 km

B) 1200 km

C) 1300 km

D) 1000 km

**Answer** – A) 1500 km

**45.** **A certain amount of food will last 24 people for 20 days, how many days will 40 people last on that food?**

A) 15 days

B) 12 days

C) 16 days

D) 18 days

**Answer-** D) 18 days

**Math Practice Set**

**46.** **It takes 4 kahns of hay to feed 8 cows for 15 days. How much hay should be stored to feed those 10 cows for 72 days during monsoon?**

A) 24 Kahn

B) 14 Kahn

C) 48 Kahn

D) 10 Kahn

**Answer** – A) 24 Kahn

**47.** **5 pumps working for 8 hours can irrigate 36000 liters of water. How long will 7 pumps run to irrigate 63000 liters of water?**

A) 10 hours

B) 12 hours

C) 14 hours

D) 13 hours

**Answer-** A) 10 hours

**48.** **It takes 840 g of coium to make 7 kg of steel. How many kg of coium will be required to make 11 kg of steel?**

A) 1000 kg

B) 1320 kg

C) 1200 kg

D) 1400 kg

**Answer-** B) 1320 kg

**49. If 10 people can cultivate 20 acres of land in 8 days, how many people can cultivate 100 acres of land in 10 days?**

a) 30

b) 40

c) 50

d) 60

**Answer-** b) 40

**50. A man gives 20% of his income to his elder son, 30% to his younger son, 10% to an ashram. He died leaving Rs.10080. What was his income?**

a) 50000

b) 40000

c) 30000

d) 20000

**Answer-** d) 20000

**Math Practice Set for Competitive Exams**

**51. The ratio of ages of Rahul and Rashni is 2 : 1, after 30 years the ratio of their ages will be 7 : 6, present age of Rahul is :**

a) 6

b) 10

c) 12

d) 20

**Answer-** c) 12

**52. 400 gm of an alloy in the ratio of zinc to copper is 5 : 3. How much copper is added so that the ratio of zinc and copper in the new mixture is 5 : 4? **

a) 72 gm

b) 200 gm

c) 50 gm

d) 66 gm

**Answer-** c) 50 gm

**53. The mean marks of 120 students is 35. If the average marks obtained by the successful students is 39 and the average marks obtained by the failed students is 15, then how many students passed the exam?**

a) 100

b) 110

c) 120

d) 80

**Answer-** a) 100

**54. 10 trees are planted in a garden, each tree is 4 meters apart, but what is the distance between the two trees at the two ends?**

a) 40 m

b) 44 m

c) 20 m

d) 36 m

**Ans-** d) 36 m

**55. If 2 × 8 = 4, 7 x 35 = 5 and 9 x 27 = 3, then what is 4 x 20 = ?**

a) 2

b) 7

c) 5

d) 10

**Answer-** c) 5

**56. The average weight of seven persons increases by 3 kg, if a person weighing 50 kg is replaced by a new person. But what is the weight of the new person?**

a) 70 kg

b) 73 kg

c) 71 kg

d) 75 kg

**Answer-** c) 71 kg

**57. If the purchase price of 36 books is equal to the selling price of 30 books, what is the percentage profit? **

a) 20 %

b) 16 %

c) 18 %

d) 8 %

**Answer-** a) 20 %

**Math Practice Set for Competitive Exams**

**58. If a person deposits part of Rs.5000 at 6% interest rate and the rest at 9% interest rate, after one year an interest of Rs.390 is earned. In what proportion did the person divide the money? **

a) 1 : 1

b) 3 : 2

c) 2 : 3

d) 1 : 2

**Answer-** c) 2 : 3

**59. Some capital earns interest of Rs 1000 in 10 years and Rs 1250 in 15 years. The amount of capital is :**

a) 750

b) 400

c) 600

d) 500

**Answer-** d) 500

**60. Find the greatest prime factor of 2431 ?**

a) 13

b) 17

c) 187

d) 221

**Answer-** b) 17

**61. What is the average of the numbers from 1 to 20?**

a) 12.5

b) 11.5

c) 9.5

d) 10.5

**Answer-** b) 11.5

**62. If the average of the first 4 of 5 numbers is 26 and the average of the last 4 is 25, what is the interval between the first and fifth numbers?**

a) 5

b) 4

c) 9

d) 10

**Answer-** b) 4

**63. A pipe fills a tank in 12 min. Again, another pipe empties the full tank in 18 minutes. If both the pipes are opened simultaneously, in how much time will the tank be full? **

a) in 35 minutes

b) in 34 minutes

c) in 36 minutes

d) in 37 minutes

**Answer-** c) in 36 minutes

**64. Rahim does a piece of work in 10 days, Mahon does it in 20 days. Again Mithu does the work in 30 days. How long will they finish the work together?**

a) in 6/10 days

b) in 5 5/11 days

c) in 40 days

d) in 20 days

**Ans-** b) 5 on 5/11 days

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