Quantitative Aptitude PYQ — Page 474
24,303 questions across SSC exams.
SSC CPO • 2019
The value of √(0.6912)+ √(0.5292)over√(0.6912)- √(0.5292) is _____.
SSC CPO • 2024
Find the value of [Image]
SSC CPO • 2023
7 sin² A + 3 cos² A = 4, then find cotA:
SSC CPO • 2022
A and B can complete a work in 36 days and 45 days respectively. They worked together for 2 days and then A left the work. In how many days will B complete the remaining work?
SSC CPO • 2023
In an election between two candidates, the difference between the candidates who won and lost was 2,500 votes. The candidate who won got 75% of the votes, and there were no invalid votes. The total number of votes polled of the losing candidate was:
SSC CPO • 2019
The value of [Image] is
SSC CPO • 2019
What percentage of the total number of workers in the factory is ?
SSC CPO • 2023
The average weight of 15 people increases by 3.2 kg when a new person comes in place of one of them, weighing 52 kg. The weight of the new person is:
SSC CPO • 2023
A number is first increased by 10% and then increased by 20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease percent in the original number?
SSC CPO • 2020
If the selling price of 50 articles is equal to the cost price of 42 articles, what is the approximate loss or profit percentage?
SSC CPO • 2023
Study the given table and answer the question that follows. The data given in the table is for the month of December 2022. [Table] What is the difference between the number of male employees in company P and that in company R?
SSC CPO • 2023
What is the length (in cm) of the transverse common tangent between two circles with radii 6 cm and 4 cm, given that the distance between their centres is 14 cm?
SSC CPO • 2024
The difference between the two perpendicular sides of a right-angled triangle is 2 cm and its area is 24 cm² . What is the perimeter (in cm) of the triangle?
SSC CPO • 2023
If the total amount spent on sports during the year was Rs. 75,00,000 then how much (in Rs.) was spent on cricket and hockey together?
SSC CPO • 2022
If a car covers 75.5 km in 3.5 litres of petrol, how much distance (in km) will it cover in 28 litres of petrol?
SSC CPO • 2020
The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the sixth and seventh numbers is:
SSC CPO • 2019
The length and breadth of a cuboid store are in the ratio 2 : 1 and its height is 3.5 meters. If the area of its four walls (including doors) is 210 m², then what is the volume?
SSC CPO • 2024
The in-radius of a triangle is 8 cm, and the sum of the lengths of its sides is 125 cm. The area of the triangle (in cm²) is
SSC CPO • 2023
If (2 sin A - cos A)/(sin A + cos A) = 1, then find the value of cot A.
SSC CPO • 2019
The curved surface area of a cone is 156π and the radius of its base is 12 cm. What is the volume of the cone, in cm³ ?
SSC CPO • 2020
If a² + b² = 82 and ab = 9, then a possible value of a³ + b³ is :
SSC CPO • 2022
The given table represents the population of different villages. [Image] Find the ration of males to females in all villages.
SSC CPO • 2019
ABCD is a cyclic quadrilateral. Sides AB and DC when produced meet at E, and sides BC and AD, when produced, meet at F. If ∠BFA = 60° and ∠AED = 30°, then the measure of ∠ABC is?
SSC CPO • 2024
A vessel contains 18 litres mixture of milk and water in the ratio 5 : 1. If 3 litres of milk is added to the vessel, then how much water (in litres) should be added to the vessel to have milk and water in the ratio 9 : 2?
SSC CPO • 2020
The given histogram shows the height of the students. [Image] The difference between the number of students whose height is between 150- 155 cm and the number of students whose heights lies between 175 - 180 cm is :
SSC CPO • 2025
A retailer marked a jacket 60% above its cost price. During an off-season clearance, he offered a flat discount of Rs. 1800 and still made a profit of 20%. What was the cost price of the jacket?
SSC CPO • 2025
A trader buys an item at Rs. 500 and marks it up by 60%. If he then offers a 25% discount on the marked price, what is his profit percentage?
SSC CPO • 2025
A glass trough is in the shape of a right prism with trapezium base (parallel sides 10 cm & 6 cm, height = 4 cm). If prism height = 20 cm, find volume.
SSC CPO • 2025
If tanx=cot(2x-15°) find x
SSC CPO • 2023
Which of the following ratios is the greatest?
SSC CPO • 2025
if one angle is twice the other and they are complementary, find the angles
SSC CPO • 2022
Which of the two Highest Scores is better and by how much? The combined Highest Score of Accounts and Business Studies or the Highest Score of Economics and English taken together.
SSC CPO • 2022
A cylindrical tank of capacity 64π litres has equal height and radius. What would be the radius of the cylinder? (1 litre = 1000 cm³)
SSC CPO • 2024
Two towns P and Q are 275 km apart. A motorcycle rider starts from P towards Q at 10:00 a.m. at the speed of 25 km/h. Another rider starts from Q towards P at 12 noon on the same day at the speed of 20 km/h. At what time will they cross each other?
SSC CPO • 2024
A person borrowed ₹ 1760 at 6% per annum and ₹ 2240 at 9% per annum at simple interest for the same period. He had to pay ₹ 1536 in all as interest. Find the time (in years)
SSC CPO • 2025
A trader offers a 30% discount on the marked price and still makes a 5% profit. If the item costs him Rs. 2100, what is the marked price?
SSC CPO • 2020
In ΔABC, ∠A = 68°. If I is the incentre of the triangle, then the measure of ∠BIC is:
SSC CPO • 2022
If X, Y, Z and W are in fourth proportion. X = 3, Y = 13 and W = 39, determine Z
SSC CPO • 2025
convert 25π/4 radians to degrees.
SSC CPO • 2019
PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT. If the area of triangle RTQ is sq.cm, then the area of the rectangle PQRS is:
SSC CPO • 2020
The value of (40 -frac34of 32)/(37-frac34 of (34-6)) is:
SSC CPO • 2025
The centroid of the triangle with vertices (0,0), (6,0), and (0,8) is:
SSC CPO • 2025
If the circumradius of a triangle is 7 cm, what is the distance from the circumcenter to a vertex?
SSC CPO • 2022
To do a certain task X would take 3 times as long as Y and Z together; and Z would takes 4 times as long as Y and X together. Three of them together can complete the task in 10 days. How much time is taken by X and Z to complete the task?
SSC CPO • 2022
The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use π = 22/7 ]
SSC CPO • 2022
A supermarket offers the following discount schemes for buyers. I. Two successive discounts of 25% and 15% II. Successive discount of 35% and 5% III. A discount of 38% Which offer is better for the customer?
SSC CPO • 2024
The marked price of a table is ₹5,980. If the shopkeeper offers a discount of 18%, what is its selling price (in ₹, to the nearest rupee)?
SSC CPO • 2025
A storage container in the shape of a cuboid has a square base with sides of 7 cm and height of 10 cm. What is the difference between its total surface area and its lateral surface area?
SSC CPO • 2023
The cost of painting the total surface area of a 30 m high solid right circular cylinder at the rate of ₹25 per m² is ₹18,425. What is the volume (in m³) of this cylinder [π = 22 over 7 ]?
SSC CPO • 2022
If x⁸ + 1 over x⁴ = 14, then the value of x¹2 + 1 over x⁶ is: