Quantitative Aptitude (SSC)

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Q. A can do a work in 12 days, B can do it in 18 days, and C can do it in 24 days. If they work together, how long will they take to complete the work?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. A can do a work in 15 days, B can do it in 20 days, and C can do it in 30 days. If all three work together, how long will it take to complete the work?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. A can do a work in 18 days, B can do it in 24 days, and C can do it in 36 days. If they all work together, how long will it take to complete the work?
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. A can do a work in 20 days, B can do it in 30 days, and C can do it in 60 days. If all three work together, how long will they take to complete the work?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. A car and a bike start from the same point and travel in the same direction. The car travels at 100 km/h and the bike at 40 km/h. How far apart will they be after 1 hour?
  • A. 40 km
  • B. 50 km
  • C. 60 km
  • D. 70 km
Q. A car and a bike start from the same point and travel in the same direction. The car travels at 100 km/h and the bike at 50 km/h. How far apart will they be after 1 hour?
  • A. 25 km
  • B. 30 km
  • C. 50 km
  • D. 60 km
Q. A car covers a distance of 240 km in 3 hours. What is its speed? (2022)
  • A. 70 km/h
  • B. 80 km/h
  • C. 90 km/h
  • D. 100 km/h
Q. A car travels 120 km at a speed of 60 km/h. How long does the journey take?
  • A. 1 hour
  • B. 2 hours
  • C. 3 hours
  • D. 4 hours
Q. A car travels 120 km in 2 hours. How long will it take to travel 180 km at the same speed?
  • A. 2.5 hours
  • B. 3 hours
  • C. 3.5 hours
  • D. 4 hours
Q. A car travels 120 km in 2 hours. How long will it take to travel 300 km at the same speed?
  • A. 4 hours
  • B. 5 hours
  • C. 6 hours
  • D. 7 hours
Q. A car uses 10 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
  • A. 20 liters
  • B. 25 liters
  • C. 30 liters
  • D. 35 liters
Q. A car uses 5 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
  • A. 10 liters
  • B. 12.5 liters
  • C. 15 liters
  • D. 20 liters
Q. A car uses 8 liters of fuel to travel 100 km. How much fuel will it need to travel 250 km?
  • A. 16 liters
  • B. 18 liters
  • C. 20 liters
  • D. 22 liters
Q. A car's value decreases by 10% each year. If the current value is $20,000, what will be its value after one year?
  • A. $18,000
  • B. $19,000
  • C. $17,500
  • D. $16,000
Q. A car's value depreciates by 15% each year. If its current value is $20,000, what will its value be after one year?
  • A. $17,000
  • B. $18,000
  • C. $19,000
  • D. $16,500
Q. A caselet describes the production output of two factories (A and B) over six months. If Factory A produced 600 units and Factory B produced 800 units in total, what is the ratio of production between Factory A and Factory B?
  • A. 3:4
  • B. 4:3
  • C. 1:2
  • D. 2:1
Q. A caselet describes the revenue generated by four different departments in a company. If Department A generated $100,000, Department B $150,000, Department C $200,000, and Department D $50,000, which department contributed the least to the total revenue?
  • A. Department A
  • B. Department B
  • C. Department C
  • D. Department D
Q. A circle has a diameter of 14 m. What is its area? (Use π = 3.14)
  • A. 153.86 m²
  • B. 154 m²
  • C. 150 m²
  • D. 160 m²
Q. A circle has a radius of 10 cm. What is the length of a chord that is 8 cm away from the center?
  • A. 12
  • B. 16
  • C. 18
  • D. 20
Q. A circle has a radius of 10 cm. What is the length of a tangent drawn from a point 15 cm away from the center of the circle?
  • A. 5
  • B. 10
  • C. 12.5
  • D. √125
Q. A circle has a radius of 10 cm. What is the length of a tangent drawn from a point 15 cm away from the center?
  • A. 10
  • B. 12
  • C. 15
  • D. 20
Q. A circle has a radius of 7 units. What is the length of a chord that is 4 units away from the center of the circle?
  • A. 8
  • B. 10
  • C. 12
  • D. 14
Q. A class has 10 boys and 15 girls. If the average height of boys is 150 cm and that of girls is 145 cm, what is the average height of the class?
  • A. 147 cm
  • B. 148 cm
  • C. 149 cm
  • D. 150 cm
Q. A class has 10 students with an average height of 150 cm. If 5 new students with an average height of 160 cm join, what is the new average height of the class?
  • A. 154
  • B. 155
  • C. 156
  • D. 157
Q. A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what will be the new average?
  • A. 76
  • B. 77
  • C. 78
  • D. 79
Q. A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what is the new average score of the class?
  • A. 76
  • B. 77
  • C. 78
  • D. 79
Q. A class has 30 students. If the average score of the class is 75 and the average score of the top 10 students is 90, what is the average score of the bottom 20 students?
  • A. 60
  • B. 70
  • C. 75
  • D. 80
Q. A class has an average score of 65. If a new student with a score of 85 joins, how does the average change if the class size increases by one?
  • A. 66
  • B. 67
  • C. 68
  • D. 65
Q. A company has 3 departments with average salaries of $4000, $5000, and $6000. If the number of employees in each department is 10, 15, and 20 respectively, what is the overall average salary?
  • A. $5000
  • B. $5200
  • C. $5400
  • D. $5600
Q. A company's profit decreased by 20% this year. If the profit last year was $500,000, what is the profit this year?
  • A. $400,000
  • B. $450,000
  • C. $480,000
  • D. $500,000
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