The OSSSC LSI, Forester, FG Exam 2024 are crucial examinations that require a comprehensive understanding of various Arithmetic topics. To help aspirants prepare effectively, we have compiled a set of 30 competitive-level Arithmetic MCQs covering a wide range of subjects.
Top 30 MCQs Arithmetic for OSSSC LSI, Forester, FG
These 30 General Studies Multiple Choice Questions cover a diverse range of topics relevant to the OSSSC LSI, Forester, FG Exam 2024. Use these questions as a tool to assess your knowledge and enhance your preparation for the upcoming examination. Remember to review the explanations and expand your understanding of each topic to ensure a well-rounded preparation. Best of luck!
- What was the original price of a shirt that is discounted by 25% and sold for $30?
a) $35
b) $40
c) $45
d) $50Answer: b) $40
Solution: Let the original price be x dollars. After a 25% discount, the selling price becomes 75% of the original price, so 75% of x = $30. Solving for x gives x = $40. - If 15% of the students in a class are absent, and there are 40 students present, how many students are absent?
a) 10
b) 12
c) 15
d) 18Answer: c) 15
Solution: Since 15% of the students are absent and there are 40 students present, the total number of students in the class is (100/85)*40 = 47. So, the number of students absent is 47 – 40 = 7. - What was the original price of a book if it is sold for $24 after a 20% discount?
a) $20
b) $25
c) $28
d) $30Answer: d) $30
Solution: Let the original price be x dollars. After a 20% discount, the selling price becomes 80% of the original price, so 80% of x = $24. Solving for x gives x = $30. - If 60% of a number is 48, what is 30% of the same number?
a) 12
b) 18
c) 24
d) 30Answer: c) 24
Solution: Let the number be x. Then, 60% of x = 48. Solving for x gives x = 48 / 0.60 = 80. Therefore, 30% of 80 is 0.30 * 80 = 24. - What is the value of a car after 3 years if it depreciates by 15% each year and its initial value is $20,000?
a) $10,125
b) $12,210
c) $14,295
d) $16,380Answer: b) $12,210
Solution: After the first year, the value of the car is 85% of $20,000. After the second year, it’s 85% of that value, and after the third year, it’s 85% of the value after the second year. Calculating this gives $12,210. - If a class has 25 girls and this represents 40% of the total number of students, how many boys are there in the class?
a) 30
b) 35
c) 37
d) 40Answer: c) 37
Solution: If 40% of the total number of students is represented by 25 girls, then 60% is represented by boys. So, let the total number of students be x. Then, 60% of x = boys = 0.60x. Solving for x gives x = 62.5. Therefore, there are 62.5 – 25 = 37.5 boys, which can be rounded to 37. - What is the cost price of a laptop sold at a profit of 25% if the selling price is $1250?
a) $800
b) $1000
c) $1200
d) $1500Answer: b) $1000
Solution: Let the cost price be x dollars. Selling price = Cost price + Profit. So, 1250 = x + 0.25x. Solving for x gives x = $1000. - If a restaurant bill is $80 and you want to leave a 15% tip, how much will the total bill be including the tip?
a) $88
b) $90
c) $92
d) $95Answer: c) $92
Solution: Tip amount = 15% of $80 = 0.15 * 80 = $12. So, the total bill including the tip is $80 + $12 = $92. - What is the net percentage change in the price of a product if it is first increased by 10% and then decreased by 10%?
a) -01%
b) 5%
c) 10%
d) 20%Answer: a) -1%
Solution: Let the original price be $100. After a 10% increase, it becomes $110. Then, after a 10% decrease, it becomes $99, which is a decrease of 1% from the original price. - What is the net percentage change in the price of a product if it is first increased by 20% and then decreased by 20%?
a) 4% decrease
b) 10% decrease
c) 16% decrease
d) 20% decreaseAnswer: a) 4% decrease
Solution: Let the original price be $100. After a 20% increase, it becomes $120. Then, after a 20% decrease, it becomes $96, which is a decrease of 4% from the original price. - Question: What is the average speed for the entire round trip if a train travels from Station A to Station B at an average speed of 60 km/h and returns to Station A at an average speed of 75 km/h?a) 65 km/h
b) 72 km/h.
c) 70 km/h
d) 72.5 km/h
Answer: b) 72 km/h.
Solution:Average Speed= Total distance covered/Total time. If distance covered from A to B is x km. Then, Average Speed= x+x /x/60 +x/90 = 2x/5x/180 =72 km/h. - Question: What is the original speed of a train if it travels a distance of 240 km, and if the speed were increased by 20 km/h, the journey would have taken 1 hour less?a) 30 km/h
b) 40 km/h
c) 50 km/h
d) 60 km/h
Answer: d) 60 km/h
Solution: (240/x)-(240/(x+20))=1or 240(x+20)-(240x)=x(x+20) or 240x+4800–240x=x(x+20) or x^2+20x-4800=0 or (x-80)(x+60) or x=60 km/hr . - Question: When will two trains, traveling towards each other at speeds of 50 km/h and 60 km/h respectively, meet if the distance between them is 550 km?a) 3 hours
b) 4 hours
c) 5 hours
d) 6 hours
Answer: c) 5 hours
Solution: Relative speed = Sum of speeds of the two trains = 50 + 60 = 110 km/h. Time taken to meet = Distance / Relative speed = 550 / 110 = 5 hours. - Question: What is the original speed of a train if it takes 3 hours to cover a certain distance, but at 60 km/h, it arrives 30 minutes late?a) 48 km/h
b) 60 km/h
c) 70 km/h
d) 80 km/h
Answer: c) 70 km/h
Solution:
- Question: How long does the return journey take for a train if it takes 5 hours to travel from Station A to Station B at a speed of 50 km/h, and on the return journey, the speed is increased by 25%?a) 3 hours
b) 4 hours
c) 5 hours
d) 6 hours
Answer: c) 5 hours
Solution:
- Question: What is the original speed of a train if it covers a certain distance in 3 hours, but if the speed were increased by 10 km/h, the journey would have taken 1 hour less?a) 40 km/h
b) 45 km/h
c) 20 km/h
d) 55 km/h
Answer: c) 20 km/h
Solution: Let the original speed be x km/h. Solving the equation 350/x – 350/(x+10) = 1 gives x = 20 km/h. - Question: What is the speed of a train if it overtakes two persons walking at 4 km/h and 6 km/h respectively in the same direction and completely passes them in 9 seconds and 10 seconds respectively?a) 48 km/h
b) 54 km/h
c) 24 km/h
d) 66 km/h
Answer: c) 24 km/h
Solution:
- Question: What is the length of the platform if a train passes a platform in 36 seconds and a pole in 18 seconds, and the length of the train is 250 meters?a) 300 meters
b) 250 meters
c) 400 meters
d) 450 meters
Answer: b) 250 meters
Solution:
- Question: What is the length of the bridge if a train traveling at 72 km/h crosses it in 36 seconds, and it takes 24 seconds to cross a man standing on the bridge?a) 100 meters
b) 200 meters
c) 240 meters
d) 400 meters
Answer: c) 240 meters
Solution:
- Question: If a train is traveling at a speed of 90 km/h, how long does it take to cross a pole if it takes 36 seconds?a) 18 meters
b) 36 meters
c) 54 meters
d) 72 meters
Answer: b) 36 meters
Solution:
- In an arithmetic progression, if the first term is 5 and the common difference is 3, what is the 10th term?
a) 32
b) 35
c) 37
d) 30
Answer: b) 35 - In a geometric progression, if the first term is 2 and the common ratio is 3, what is the 5th term?
a) 486
b) 162
c) 486
d) 54
Answer: d) 54 - In an arithmetic progression, if the 6th term is 20 and the 10th term is 32, what is the common difference?
a) 3
b) 2
c) 4
d) 5
Answer: b) 2 - In a geometric progression, if the 3rd term is 24 and the 6th term is 192, what is the common ratio?
a) 4
b) 8
c) 2
d) 3
Answer: d) 3 - In an arithmetic progression, if the 7th term is 25 and the 11th term is 37, what is the sum of the first 15 terms?
a) 255
b) 375
c) 300
d) 330
Answer: b) 375 - If the sum of the first 8 terms of an arithmetic progression is 100, and the sum of the first 10 terms is 180, what is the 11th term?
a) 35
b) 18
c) 20
d) 16
Answer: a) 35 - Question: If the price of a product is increased by 25%, by what percentage should the sales price be decreased to bring it back to the original price?
A) 20%
B) 25%
C) 30%
D) 33.33%
Answer: A) 20% - Question: If 20% of a number is 60, what is 40% of that number?
A) 120
B) 150
C) 160
D) 200
Answer: B) 150 - Question: A laptop was originally priced at $1200. It is now being sold at a discount of 15%. What is the discounted price?
A) $1020
B) $1080
C) $1140
D) $1260
Answer: C) $1140 - Question: The average of six numbers is 48. If one of the numbers is 60, what is the average of the remaining numbers?
A) 44
B) 46
C) 48
D) 50
Answer: B) 46
