Quantitative Aptitude PYQ — Page 462
24,303 questions across SSC exams.
SSC CPO • 2023
The population of a city is 3,52,314. It increases annually at the rate of 15% per annum. What was its population 2 years ago?
SSC CPO • 2019
The pie-chart given here shows the country's expenditure on various sports during a particular year. Study the pie-chart and answer the question given below. [Image] The expenditure on hockey is what percent more than that of basketball?
SSC CPO • 2024
In a ∆ABC, angle BAC = 30° and angle BCA = 60°. If AC = 13 cm and AB = 12 cm, then BC is equal to:
SSC CPO • 2020
The given pie chart represents the popularity of ice-cream flavours in the year 2005. [Image] In 2005, if 40% of the ‘other’ category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?
SSC CPO • 2024
A copper sphere of diameter 12 cm is drawn into a wire of diameter 4 mm. What is the length (in cm) of the wire?
SSC CPO • 2019
Raghu sold an article for Rs. 180 after allowing a 20% discount on its marked price. Had be not allowed any discount, be would have gained 20%. What is the cost price of the article?
SSC CPO • 2019
A sum of Rs 18000 is invested for 16 months at 8% per annum compounded half-yearly. Find the percentage increase (approx.) in the sum of the investment.
SSC CPO • 2025
A square sheet is folded in half. What is the ratio of the area of the folded shape to the original square?
SSC CPO • 2024
A scalene triangle ABC has two sides whose measures are 3.8 cm and 6 cm, respectively. Which of the following CANNOT be the measure (in cm) of its third side?
SSC CPO • 2025
If x = 2.5 and y = 5/8, then (x − y) × 4 = ?
SSC CPO • 2025
A square plot of land is to be expanded such that its area becomes 225% of the original. By what percentage must each side be increased?
SSC CPO • 2025
A right prism has a square base of side 5 cm and a height of 12 cm. What is its total surface area?
SSC CPO • 2019
If a = 500, b = 502, and c = 504, then the value of a³ +b³ + c³ - 3abc :
SSC CPO • 2024
Simplify [25 - ( - 4){9 - (6 - 2)}] ÷ [3 × {6 + ( - 3) × ( - 3)}].
SSC CPO • 2019
A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is .......
SSC CPO • 2019
36 persons working 8 hours a day can do 3 units of work in 12 days. How many persons are required to do 5 units of that work in 16 days, if they work for 6 hours a day?
SSC CPO • 2020
If x + y + z = 19, x² +y² + Z² = 133 and xz = y², x > z > 0, what is the value of (x - z)?
SSC CPO • 2022
The LCM of two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.
SSC CPO • 2023
The LCM of 1 over 3 , 3 over 5 , 4 over 7 and 9 over 16 is:
SSC CPO • 2025
A rectangle with sides 8 cm × 6 cm and a rhombus (side = 8 cm, acute angle 60°) are joined along an 8 cm side. What is the ratio of their areas (Rectangle : Rhombus)?
SSC CPO • 2023
What is the HCF of (x⁶ + 1) and (x⁴ - 1)?
SSC CPO • 2020
If a³ + b³= 217 and a + b = 7, then the value of ab is:
SSC CPO • 2024
A can complete a piece of work alone in 200 days, while B can complete the same piece of work alone in 100 days. In every three-day cycle, both A and B work on day 1, only A works on day 2, and only B works on day 3. This cycle continues till the work is…
SSC CPO • 2020
A train covers 400 km at a uniform speed. If the speed had been 10 km/h, it would have taken 2 hours less for the same journey. What is the usual time taken ( in hours) by it to complete the journey?
SSC CPO • 2024
Simplify. 22.0625 – [15 + 0.25 × (4.78 – 1.5 × 3.02)]
SSC CPO • 2023
Akshita and Raina are typing a book, but have only one laptop to work upon. They decided that they will work on alternate basis such that Akshita works for the first day, Raina works for the second day, Akshita for the third day and so on. Akshita alone can…
SSC CPO • 2023
The LCM of x² - 8x + 15 and x² - 5x + 6 is:
SSC CPO • 2022
How many metallic spheres, each of diameter 6 cm can be melted to mould into a solid cylinder of diameter 8 cm and height of 18 cm?
SSC CPO • 2022
The LCM of two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.
SSC CPO • 2024
The area of a circle is 256π square cm. The length of its longest chord (in cm) is:
SSC CPO • 2024
A and B can do a work in 13 days and 26 days, respectively. If they work for a day alternately, starting with A, then in how many days will the work be completed?
SSC CPO • 2022
If x + y + z = 8, and x² + y² + z² = 20 then the value of x³ + y³ + z³ − 3xyz is ____.
SSC CPO • 2020
A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days, How long will C alone take to finish 60% of the job?
SSC CPO • 2023
If A +1/(1 + 1/(2 + 1/3)) = 9/10 , then the value of A is:
SSC CPO • 2024
A train covers a distance of 850 metres in 45 seconds. Travelling at the same speed, how many kilometres will the train cover in an hour?
SSC CPO • 2024
If m × 7 + 4 − 6 ÷ 3 − 7 + 45 ÷ 5 × 4 + 49 = 87, then the value of m is:
SSC CPO • 2023
If the base radius and the height of a right circular cone are increased by 10%, then the percentage increase in the volume is:
SSC CPO • 2019
A is 75% less than B and C is 75% of the difference between A and B. C is what percentage more than A?
SSC CPO • 2024
Simplify: tan71°+ tan19°over 1-tan71°tan19°
SSC CPO • 2022
What is the percentage increment in the population of village A in 2021 as compared to the population in the year 2018? (Correct up to two decimal places.)
SSC CPO • 2019
Two pipes A and B can fill a tank in 18 minutes and 24 minutes respectively. If both the pipes are opened simultaneously. Then after how much time should pipe B be closed so that the tank is full in 12 minutes?
SSC CPO • 2019
A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm ) of the annular portion between the two circles?
SSC CPO • 2025
If a regular polygon has 44 diagonals, how many sides does it have?
SSC CPO • 2019
An observer who is 1.62 m tall is 45 m away from a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height(in m) of the pole is closest to?
SSC CPO • 2023
A man spends 72% of his salary and saves Rs 5,740 per month. What is 10% of his annual salary (in Rs)?
SSC CPO • 2025
The area of a square field is 400 square meters. If each side is increased by 25%, what will be the new area?
SSC CPO • 2022
If a² + b² + 1 = 2a, then the value of a⁴ + b⁷ is:
SSC CPO • 2022
If a, b, and c are positive integers such that a²+ b²= 82 and b²+ c²= 65, then the value of 2a + 7b - 3c is:
SSC CPO • 2025
A regular hexagon with side 6 cm is inscribed in a circle. What is the radius of the circle?
SSC CPO • 2023
In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 9500 votes, which were 80% of the valid votes. Find the total number of voters enrolled in that election.