Preparing for exams like OSSSC RI, ARI, Amin, SFS, and ICDS Supervisor requires a comprehensive understanding of mathematical concepts. Multiple Choice Questions (MCQs) serve as a crucial tool for assessing one’s proficiency in mathematics. Here, we present a curated selection of the top 30 mathematics MCQs, covering various topics ranging from arithmetic to algebra, geometry, and beyond. These questions are designed to challenge and reinforce candidates’ knowledge, providing a valuable resource for their exam preparation. Each question is accompanied by detailed solutions and explanations, offering candidates the opportunity to enhance their problem-solving skills and excel in their upcoming examination
Top 30 Mathematics MCQS For OSSSC RI,ARI, Amin, SFS, ICDS Supervisor
- Question: If the price of a book is increased by 20%, by what percentage should the sales price be decreased to bring it back to the original price?A) 16%
B) 20%
C) 25%
D) 10%Correct Answer: A) 16%
Solution: Let the original price be 100. Increased price = 100 + 20% of 100 = 100 + 20 = 120. To bring it back to the original price, the sales price should be decreased by (120–100)/120 * 100 = 16.67%.
2. Question: If 15% of a number is 45, what is 30% of that number?
A) 90
B) 60
C) 30
D) 15
Correct Answer: A) 90
Solution: Let the number be “x.” 15% of x = 45. x = (45 * 100)/15 = 300. 30% of x = (30/100) * 300 = 90.
3: Question: A TV was originally priced at $800. It is now being sold at a discount of 20%. What is the discounted price?
A) $640
B) $720
C) $860
D) $960
Correct Answer: A) $640
Solution: Discounted price = Original price — (Discount percentage * Original price). Discounted price = $800 — (20% * $800) = $800 — $160 = $640.
4: Question: The average of five numbers is 32. If one of the numbers is 45, what is the average of the remaining numbers?
A) 30
B) 34
C) 35
D) 36
Correct Answer: C) 35 Solution: Sum of the five numbers = 32 * 5 = 160. Sum of the remaining four numbers = 160–45 = 115. Average of the remaining numbers = 115 / 4 = 28.75.
5: Question: The average age of a family of four is 28 years. If the youngest member is 16 years old, what is the average age of the remaining three members?
A) 30
B) 32
C) 34
D) 36
Correct Answer: B) 32
Solution: Sum of the ages of the four family members = 28 * 4 = 112. Sum of the ages of the remaining three members = 112–16 = 96. Average age of the remaining members = 96 / 3 = 32.
6: Question: If the ratio of apples to oranges in a basket is 3:2 and there are 25 oranges, how many apples are there in the basket?
A) 15
B) 20
C) 30
D) 40
Correct Answer: C) 30
Solution: Since the ratio of apples to oranges is 3:2, for every 3 apples, there are 2 oranges. If there are 25 oranges, then there must be (3/2) * 25 = 37.5 apples. Rounding to the nearest whole number, there are 30 apples.
7: Question: If the ratio of boys to girls in a classroom is 4:5, and there are 36 boys, how many girls are there in the classroom?
A) 20
B) 25
C) 30
D) 45
Correct Answer: D) 45
Solution: Since the ratio of boys to girls is 4:5, for every 4 boys, there are 5 girls. If there are 36 boys, then there must be (5/4) * 36 = 45 girls.
8: Question: The ratio of the lengths of two rectangles is 3:4. If the area of the smaller rectangle is 48 square units, what is the area of the larger rectangle?
A) 64 square units
B) 72 square units
C) 96 square units
D) 128 square units
Correct Answer: C) 96 square units
Solution: Let the lengths of the smaller rectangle be 3x and 4x, where x is a positive integer. The area of the smaller rectangle = (3x) * (4x) = 12x² = 48. Solving for x, we get x² = 4, so x = 2. The lengths of the smaller rectangle are 6 units and 8 units. The area of the larger rectangle = (4x) * (3x) = 12x² = 12 * 4 = 48 square units.
9: Question: If John can complete a job in 8 hours and Sarah can complete the same job in 12 hours, how long will it take them to complete the job together?
A) 3 hours
B) 4 hours
C) 5 hours
D) 6 hours
Correct Answer: A) 3 hours
Solution: John’s work rate = 1 job / 8 hours = 1/8 job per hour. Sarah’s work rate = 1 job / 12 hours = 1/12 job per hour. Their combined work rate = (1/8 + 1/12) job per hour = (3/24 + 2/24) job per hour = 5/24 job per hour. Time taken to complete the job together = 24/5 hours = 4.8 hours.
10: Question: If it takes 6 workers 8 hours to complete a project, how many hours would it take for 8 workers to complete the same project?
A) 4 hours
B) 6 hours
C) 8 hours
D) 12 hours
Correct Answer: B) 6 hours
Solution: The number of workers and the time taken to complete a job are inversely proportional. Using the formula: (Number of workers) * (Time taken) = Constant. (6 workers) * (8 hours) = (8 workers) * (x hours). Solving for x, we get x = 6 hours.
11: Question: If a machine can produce 100 units of a product in 5 hours, how many units can it produce in 10 hours?
A) 100 units
B) 150 units
C) 200 units
D) 250 units
Correct Answer: C) 200 units
Solution: The number of units produced and the time taken are directly proportional. Using the formula: (Number of units) = (Rate of production) * (Time). Thus, (Number of units) = (100 units / 5 hours) * (10 hours) = 200 units.
12: Question: A shopkeeper purchased a shirt for $40 and sold it for $60. What is the profit percentage?
A) 20%
B) 33.33%
C) 50%
D) 66.67%
Correct Answer: C) 50%
Solution: Profit = Selling Price — Cost Price. Thus, Profit = $60 — $40 = $20. Profit Percentage = (Profit / Cost Price) * 100% = (20 / 40) * 100% = 50%.
13: Question: If a bookshop sells a book at a loss of 10%, and the cost price of the book is $50, what is the selling price of the book?
A) $45
B) $50
C) $55
D) $60
Correct Answer: A) $45
Solution: Loss = Cost Price — Selling Price. Thus, 10% of Cost Price = $50. Selling Price = Cost Price — Loss = $50 — (0.10 * $50) = $50 — $5 = $45.
14: Question: A trader sold a shirt for $180 and incurred a loss of 10%. What was the cost price of the shirt?
A) $162
B) $190
C) $200
D) $198
Correct Answer: A) $162
Solution: Loss = 10% of Cost Price. Thus, 10% of Cost Price = $180. Cost Price = $180 / (10/100) = $180 / 0.10 = $1800 / 10 = $180.
15. Question: What is the perimeter (in meters) of an equilateral triangle whose height is 3.46 meters? Take 3=1.73.
Options:
(A) 12
(B) 9
(C) 6
(D) 10.4
Answer: (A) 12
Solution: The height of an equilateral triangle is given by 32×side. Given that the height is 3.46 meters, we have: 1.732×side=3.46 Solving for the side, side=2×2=4. Therefore, the perimeter =3×side=3×4=12 meters.
16. Question: The perimeters of two similar triangles ABC and PQR are 156 cm and 46.8 cm respectively. If cm and cm, then the value of is:
(A) 3.76 cm
(B) 5.85 cm
(C) 4.29 cm
(D) 6.75 cm
Answer: (B) 5.85 cm
17. Question: The radius of a sphere is 9 cm. It is melted and drawn into a wire of radius 0.3 cm. What is the length of the wire?
(A) 112 m
(B) 108 m
(C) 118 m
(D) 106 m
Answer: (B) 108 m
18. Question: One side of a rectangular field is 39 m and its diagonal is 89 m. What is the area of the field?
(A) 3120 m2
(B) 2100 m2
(C) 2160 m2
(D) 3140 m2
Answer: (A) 3120 m2
19. Question: The base of a triangle to the perimeter of a square whose diagonal is 72 cm, and its height is equal to the side of a square whose area is 169 cm2. What is the area (in cm2) of the triangle?
(A) 130
(B) 182
(C) 175
(D) 156
Answer: (B) 182
20. Question: If the adjacent sides of a rectangle, whose perimeter is 60 cm, are in the ratio 3:2, then what will be the area of the rectangle?
(A) 864 cm2
(B) 216 cm2
(C) 60 cm2
(D) 300 cm2
Answer: (B) 216 cm2
Solution: Let the adjacent sides be and respectively. Since their ratio is 3:2, , so . Therefore, the sides of the rectangle are 36 cm and 24 cm.
Hence, the area of the rectangle is 36×24=216 cm2.
21. Question: The perimeter of a right angle triangle, whose sides that make right angles are 15 cm and 20 cm, is:
(A) 60 cm
(B) 40 cm
(C) 70 cm
(D) 50 cm
Answer: (A) 60 cm
21. A train is 100 meters long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
A) 10 seconds
B) 12 seconds
C) 14 seconds
D) 16 seconds
Answer: B) 12 seconds
22. A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.
A) 7 seconds
B) 7.5 seconds
C) 8 seconds
D) 8.5 seconds
Answer: B) 7.5 seconds
23. In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr
A) 5 seconds
B) 4.5 seconds
C) 3 seconds
D) 2.5 seconds
Answer: D) 2.5 seconds
24. How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length?
A) 15 seconds
B) 12.1 seconds
C) 10 seconds
D) 8.1 seconds
Answer: B) 12.1 seconds
25. A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length.
A) 20 seconds
B) 30 seconds
C) 40 seconds
D) 50 seconds
Answer: C) 40 seconds
26. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
A) 150 meters
B) 145 meters
C) 140 meters
D) 135 meters
Answer: A) 150 meters
27. Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.
A) 230 meters
B) 235 meters
C) 240 meters
D) 245 meters
Answer: D) 245 meters
28. If 56% of Y is 182, what is Y?
a. 350
b. 364
c. 325
d. 330
Answer: c. 325
29. Y has to score 40% marks to pass. He gets 20 marks and fails by 40 marks. What are the maximum marks of the exam?
a. 100
b. 200
c. 150
d. 250
Answer: c. 150
30. Which of the following two ratios is greater: 17:18 and 10:11?
a. 17/18
b. 10/11
c. Both are same
d. Cannot determine
Answer: a. 17/18
