Quantitative Aptitude PYQ — Page 446
24,303 questions across SSC exams.
SSC CPO • 2024
If a + 2b + 3c = 0, then what is the value of (a³ + 8b³ + 27c³ )?
SSC CPO • 2024
A part of ₹48,500 is invested at a simple interest of 15% per annum. The rest of the money is invested at the rate of 10% simple interest per annum after 2 years of the first investment. The ratio of interest after 5 years from the time when the first amount…
SSC CPO • 2025
A box with dimensions 15 cm × 12 cm × 10 cm is completely filled with cubes of side 1 cm. How many cubes are used?
SSC CPO • 2023
The total surface area of a solid hemisphere is 4158 cm². Find its volume (in cm³).
SSC CPO • 2024
Simplify the given expression. 53 - 2/7 of 63 - 9 over 72- 2/5 of (96-31) .
SSC CPO • 2022
The weight of a person was entered incorrectly as 83 kg instead of 63 kg. As a result, the average weight of a group of people increased by 500 gm. What is the total number of people in the group?
SSC CPO • 2024
If the company has issued 8 lakh shares between its 6 partners and if Varma offers to sell 10000 of his shares to Pandey, then how many shares will Pandey have?
SSC CPO • 2025
Expand: (3x - 7)² = ?
SSC CPO • 2019
Mangoes are bought at a rate of Rs.10000 per ton. If one-third of the total mangoes are sold at a loss of 4%, then at what price (per ton) should the remaining mangoes be sold so as to gain 30% on the whole transaction?
SSC CPO • 2024
If sinx + cosx = √2sinx, then the value of sinx - cos x is :
SSC CPO • 2019
Two chords AB and CD of a circle intersect each other at P internally. If AP = 3.5 cm, PC = 5 cm, and DP = 7 cm, then what is the measure of PB?
SSC CPO • 2025
What is the smallest number that, when multiplied by 1.5, gives a whole number?
SSC CPO • 2023
Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.
SSC CPO • 2025
A shopkeeper buys an article for ₹500 and sells it for ₹600. What is the profit percentage?
SSC CPO • 2019
The sides of ΔABC are 10cm, 10.5 cm and 14.5 cm. What is the radius of its circumcircle?
SSC CPO • 2022
The curved surface area and circumference at the base of a solid right circular cylinder are 2200 cm² and 110 cm, respectively. Find the height of the cylinder.
SSC CPO • 2019
What is the sum of the digits of the least number, which when divided by 12,16, and 54, leaves the same remainder 7 in each case, and is also completely divided by 13?
SSC CPO • 2019
If 10 men can complete a piece of work in 12 days by working 7 hours in a day, then in how many days 14 men do the same work by working 6 hours a day?
SSC CPO • 2020
If a nine-digit number 785x3678y is divisible by 72, then the value of (x + y) is:
SSC CPO • 2022
What is the length of the longest rod that can be placed in a room of dimensions 12 m × 9 m × 8 m?
SSC CPO • 2022
The number of employees recruited in company B in the year 2019 was what percentage of the number of employees recruited in company C in the year 2021 (correct up to 2 decimal places)?
SSC CPO • 2022
The weight of a person was entered incorrectly as 83 kg instead of 63 kg. As a result, the average weight of a group of people increased by 500 gm. What is the total number of people in the group?
SSC CPO • 2019
If x + y + z = 1, xy + yz + zx = – 26 and x³ + y³ + z³ = 151 then what will be the value of xyz?
SSC CPO • 2020
The given pie chart represents the popularity of ice-cream flavors in the year 2005. [Image] In 2005, if 10% of the 'other' category is mixed fruit flavor and 1570 people surveyed preferred mixed fruit flavor, then how many people were surveyed?
SSC CPO • 2025
A solid metallic sphere of diameter 14 cm is melted and recast into smaller hemispheres each of diameter 7 cm. How many hemispheres can be made?
SSC CPO • 2024
Simplify the given expression. 13÷ \ 6−6÷(7−9)×8+9 \over 5+5×5÷5\ of\ 5
SSC CPO • 2020
A boy increases his speed to 9/5 times of his orignal speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?
SSC CPO • 2019
If (200/3)% of 75% of 1/8th of a certain number is 179, then find the (100/3)% of 3/4th of that number.
SSC CPO • 2024
Swati earns a sum of ₹40,000, out of which she saves 25%. She spends the remaining amount on food and education in the ratio of 3 : 2. What is the percentage of expenditure incurred on education to her total income?
SSC CPO • 2023
Study the given bar graph carefully and answer the question that follows. Increment of four employees (in ₹) in the months of May, June and July. [Image] What is Kamal’s overall average increment in three months?
SSC CPO • 2022
In a journey of three unequal laps, a car covers a distance of 200 km in 4 h in the firs lap, while another 162 km at the speed of 15 m/s in the second lap. It covered the remaining distance of the final lap in 4 h such that the average speed of the car for…
SSC CPO • 2023
The given table shows marks obtained by four students in four subjects. [Table] The average percentage of marks obtained by all students in Hindi is:
SSC CPO • 2019
The marked price of an article is Rs.250. After allowing two successive discounts of 20% and x% on the marked price, it is sold for Rs.185.60. What is the value of x?
SSC CPO • 2020
When operated seprately , pipe A takes 5 hours less than pipe B to fill a cistern, and when both pipes are operated together , the cistern gets filled in 6 hours. In how much time ( in hours) will pipe B fill the cistern , if operated separately ?
SSC CPO • 2023
If perimeter of the circle is 13.2 cm, then the radius of the circle is _____. (Take ^π = 22/7 )
SSC CPO • 2023
Let C be a circle with a center O and a radius 5 cm. Let PQ be a tangent to the circle and A be the point of tangency. Let B be a point on PQ such that the length of AB is 12 cm. If the line joining O and B intersects the circle at R, find the length of BR…
SSC CPO • 2025
Which pair of numbers has a sum of 13 and whose squares differ by 65?
SSC CPO • 2022
The ratio of two numbers is 4 : 5, and their HCF is 3. What is their LCM?
SSC CPO • 2024
What is the length of the arc of a circle whose radius is 35 cm and whose arc subtends an angle of 72° at the centre of the circle?
SSC CPO • 2023
Two circles touch each other externally at C. AB is a direct common tangent to the two circles, A and B are points of contact; and ∠CAB = 55°. Then ∠ACB is:
SSC CPO • 2023
The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are:
SSC CPO • 2025
A trader sells an article at 15% profit. Had he sold it for ₹150 less, he would have incurred a 5% loss. Find the cost price.
SSC CPO • 2022
A truck goes from Haryana to Bangalore with an average speed of 60 km/h. The journey takes 30 hours. It returns from Bangalore to Haryana on the same road with an average speed of 40 km/h. What was the average speed of the truck during the roundtrip?
SSC CPO • 2024
A dishonest dealer claims to sell his products at 24% loss on the cost price but uses 100 g weight instead of 200 g weight. His profit percentage is:
SSC CPO • 2020
The value of -7 ÷ [5 + 1 ÷ 2 - {4 +(4 of 2 ÷ 4) + (4 ÷ 4 of 2)}] is:
SSC CPO • 2024
Let a be a positive number and b = 4/a . What is the mean proportional of a and b?
SSC CPO • 2024
If α + β + γ = 0, Then (3β² + α² + γ²)/(2β² - αγ) = ?
SSC CPO • 2022
The given graph shows the number (in hundreds) of trees axed in four cities during the period 2016 - 2020. [Image] Find the year in which the least number of trees are axed.
SSC CPO • 2019
Two persons A and B are paid a total of Rs. 2040 per week by their employer. If B is paid 140 percent of the sum paid to A, then how much is A paid per week?
SSC CPO • 2019
A can complete one-third of the work in 10 days and B can do (3/5)^(th) of the same work in 24 days. They worked together for 10 days. The remaining work was completed by C alone in 15 days. In how many days can C alone do (2/3)ʳᵈ of the same work?