Major Competitive Exams

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Q. A scholarship fund of $10,000 is to be distributed among 4 students in the ratio 1:2:3:4. How much will the student with the smallest share receive? (2000)
  • A. $500
  • B. $1000
  • C. $1500
  • D. $2000
Q. A scholarship fund of $10,000 is to be distributed equally among 25 students. How much will each student receive?
  • A. $300
  • B. $400
  • C. $500
  • D. $600
Q. A scholarship fund of $10,000 is to be distributed equally among 5 students. How much does each student receive? (2000)
  • A. $1500
  • B. $2000
  • C. $2500
  • D. $3000
Q. A scholarship fund of $5000 is to be distributed equally among 5 students. How much will each student receive?
  • A. $800
  • B. $1000
  • C. $1200
  • D. $1500
Q. A scholarship of $1200 is awarded to a student. If the student donates 10% of it to charity, how much does he keep?
  • A. $1080
  • B. $1100
  • C. $1000
  • D. $1200
Q. A scholarship of $1200 is awarded to a student. If the student has to pay 15% tax on it, how much does he receive after tax?
  • A. $1020
  • B. $1080
  • C. $1000
  • D. $1100
Q. A scholarship program awards $5000 to a student. If the student is required to maintain a GPA of 3.5 or higher, what percentage of students typically maintain this GPA if 70 out of 100 students do? (2022)
  • A. 70%
  • B. 60%
  • C. 50%
  • D. 80%
Q. A school awards $2000 to the top three students in the ratio of 1:2:3. How much does the second student receive? (2021)
  • A. $400
  • B. $600
  • C. $800
  • D. $500
Q. A school awards a cash prize of $1000 to the best student. If the prize is to be shared equally among 4 students, how much will each student receive? (2021)
  • A. $200
  • B. $250
  • C. $300
  • D. $400
Q. A school awards a trophy to the top 10% of students. If there are 200 students, how many students receive the trophy?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. A school awards a trophy to the top 3 students based on their average marks. If the average marks of the students are 85, 90, and 95, what is the total score of the top 3 students combined? (2020)
  • A. 270
  • B. 260
  • C. 280
  • D. 300
Q. A school awards a trophy to the top 3 students. If the total cost of the trophies is $600, how much does each trophy cost if they are of equal value? (2019)
  • A. $150
  • B. $200
  • C. $250
  • D. $300
Q. A seller bought a laptop for $800 and sold it at a loss of 10%. What was the selling price?
  • A. $720
  • B. $740
  • C. $760
  • D. $780
Q. A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
  • A. 76.96 cm²
  • B. 48.96 cm²
  • C. 38.48 cm²
  • D. 28.96 cm²
Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle?
  • A. 49 cm²
  • B. 77 cm²
  • C. 154 cm²
  • D. 100 cm²
Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle? (Use π ≈ 3.14)
  • A. 76.96 cm²
  • B. 48.96 cm²
  • C. 38.48 cm²
  • D. 24.48 cm²
Q. A semicircle has a diameter of 14 cm. What is the area of the semicircle? (Use π ≈ 22/7)
  • A. 77 cm²
  • B. 49 cm²
  • C. 154 cm²
  • D. 88 cm²
Q. A sequence is defined as 2, 5, 8, 11, ... What is the 15th term of this sequence?
  • A. 44
  • B. 41
  • C. 38
  • D. 45
Q. A sequence is defined as follows: 2, 5, 8, 11, ... What is the 15th term of this sequence?
  • A. 44
  • B. 41
  • C. 38
  • D. 45
Q. A sequence of numbers is in arithmetic progression. If the first term is 12 and the last term is 48, and there are 8 terms in total, what is the common difference?
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Q. A sequence of numbers is in arithmetic progression. If the first term is 8 and the last term is 32, and there are 6 terms, what is the common difference?
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Q. A set of numbers has a mean of 15. If one number is removed, the new mean becomes 12. What was the removed number? (2022)
  • A. 9
  • B. 12
  • C. 15
  • D. 18
Q. A set of numbers has a mean of 20. If one number is removed, the mean becomes 18. What was the number removed? (2022)
  • A. 22
  • B. 24
  • C. 20
  • D. 18
Q. A set of numbers has a variance of 36. What is the standard deviation? (2019)
  • A. 6
  • B. 12
  • C. 18
  • D. 24
Q. A set of numbers has the following frequencies: 10 (1), 20 (2), 30 (3), 40 (4). What is the mode of this set? (2021)
  • A. 10
  • B. 20
  • C. 30
  • D. 40
Q. A set of numbers is given as follows: 1, 1, 2, 3, 3, 4, 4, 4, 5. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. A shopkeeper marks a price of $200 on a shirt. If he offers a discount of 15%, what is the selling price of the shirt? (2023)
  • A. $170
  • B. $180
  • C. $190
  • D. $200
Q. A shopkeeper marks a price of $200 on a shirt. If he offers a discount of 20%, what is the selling price of the shirt?
  • A. $160
  • B. $180
  • C. $200
  • D. $140
Q. A shopkeeper marks a price of $500 on an item and offers a discount of 10%. What is the selling price after the discount? (2023)
  • A. $450
  • B. $475
  • C. $500
  • D. $525
Q. A shopkeeper sells a product for $300 after applying a discount of 25%. What was the marked price?
  • A. $350
  • B. $375
  • C. $400
  • D. $450
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