Quantitative Aptitude PYQ — Page 86
24,303 questions across SSC exams.
SSC Selection Post • 2025
In triangle ABC, if the Euler line is vertical and passes through (3,0), (3,4), and (3,8), which point is the centroid?
SSC Selection Post • 2025
If secA + tanA = x, express secA in terms of x.
SSC CGL • 2020
The value of 5 - (8 + 2√(15))/4 - 1/(8 + 2√(15)) is equal to:
SSC CGL • 2018
The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?
SSC GD • 2023
A sum of money is paid back in two annual instalments of Rs. 1,25,000 each. If the rate of interest is 6% per year and interest is compounding annually, then find the sum borrowed. (Consider rounding up integral value.)
SSC GD • 2023
A car driver is driving a car at a speed of 70 km/h, and a bus is moving 35 meters ahead of him. After 15 seconds, the bus was 40 meters behind him. Find out the speed of the bus.
SSC CGL • 2018
The height of a tower is 300 meters. When its top is seen from top of another tower, then the angle of elevation is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?
SSC GD • 2025
x varies inversely to the square of y. Given that y = 5 when x = 6, find the value of x when y = 4.
SSC GD • 2023
In which ratio a trader must mix two quantities of ₹18 per kg and ₹27 per kg, so that the price of the mixture becomes ₹25 per kg ?
SSC GD • 2025
Asha bought a mixer for ₹2,160 and sold it for ₹1,998. Find the loss percentage.
SSC GD • 2023
In a circular race of 2,700 m, P and Q start from point A in opposite directions at speeds of 23 km/h and 49 km/h, respectively. What is the time taken by them to meet for the first time?
SSC CGL • 2020
A certain sum amounts to Rs 15,500 in 2 years at 12% p.a. simple interest. The same sum will amount to what in 1½ years at 10% p.a., if the interest is compounded half yearly (nearest to Rs 1)?
SSC CGL • 2022
Study the graph given and answer the question that follows. [Image] The average production of fertilizers by country Z in 2017,2018 and 2020 is what percentage more than the average production of fertilizers by country X in 2018 and 2020?
SSC Selection Post • 2025
If x − 1/x = 3, then the value of x² + 1/x² is:
SSC GD • 2026
(9.8 + 1.8)²- 4 × 9.8 × 1.8 = ?
SSC GD • 2023
A sum of Rs.1,875 at 4% per annum increased to Rs.2,028 in certain time. If interest is compounded yearly, then what is the time period?
SSC GD • 2025
Three persons step out together for a walk. Their steps measure 90 cm, 95 cm and 75 cm, respectively. What is the minimum distance (in m) each should walk so that they can cover the distance in complete step?
SSC GD • 2023
In an examination, there are three subjects of 100 marks each. A student scores 75% in the first subject and 86% in the second subject. He scored 68% in aggregate. His percentage of marks in the third subject is:
SSC GD • 2023
A ream of 500 pages is bought for ₹280, and packets of 25 pages are made from it. Each packet is sold for ₹18. Find the percentage profit or loss. (Rounded off up to one decimal place).
SSC GD • 2025
A man’s monthly salary increased from ₹42,000 to ₹57,000. What is the percentage (rounded off to 1 decimal place) increase in his monthly salary?
SSC GD • 2024
What is the value of 13 × 12+12 × 11 - 14 × 15-9 × 13 +19 × 15?
SSC GD • 2025
Find the value of [ ( 29 × 13 ) × { 3 ÷ 3 × 18-14over4 } ) ].
SSC GD • 2023
From 2011 to 2014, a town’s population is increasing at the rate of 2% annually. If its population was 13,265 in 2014, then what would have been its population (Approximately) in 2011?
SSC GD • 2023
X bought a dozen pencils for a total of Rs 60 and 20 pens for Rs 200. Find the total average cost of the stationery X bought.
SSC GD • 2025
The third proportional to x and x + 100 is 405, find the value of x (where x > 100)
SSC GD • 2023
A dishonest merchant uses a false weight of 200 gm instead of 250 gm. What is his profit percentage?
SSC GD • 2026
42/3 + 442/3 + 4442/3 + 44442/3 = ?
SSC GD • 2026
(15.3 + 5.3)²- 4 × 15.3 × 5.3 = ?
SSC GD • 2023
The price of 2 tables is equal to the price of 5 chairs. If the price of a chair is Rs. 500 then, what is the average price of 6 tables and 9 chairs?
SSC CGL • 2016
A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by
SSC GD • 2024
S1 alone can do a work in 16 days and S2 alone can do the same work in 80 days. With help of S3, they finish the same work in 6 days. In how many days S3 alone can do the same work?
SSC GD • 2026
√90.25+√6.25-√2.25+√0.25=?
SSC GD • 2023
A and B can finish a work in 15 days and 10 days, respectively. A started the work alone and after 5 days, B joined A in the work. They both did the remaining work. What is the total number of days to complete the work?
SSC GD • 2024
The ratio of three numbers is 5 : 6 : 7. If the sum of the three numbers is 540, then what is the smallest number among the three numbers?
SSC GD • 2024
The average weight of 10 persons increases by 3.5 kg when a new person comes in place of one of them weighing 85 kg. What might be the weight of the new person?
SSC GD • 2025
The LCM of two numbers is 126 times their HCF. If their HCF is 7 and the difference between the two numbers is five times the HCF, then the sum of the two numbers is:
SSC GD • 2023
Simplify the following. 1/8 - { 1/5 + (1 - 0.6)}
SSC GD • 2023
What is the third proportional of 5x²and 3xy?
SSC Selection Post • 2025
If 13A = 12B and 14B = 15C, then find A:C.
SSC GD • 2025
The value of 79 - 10 × [ 2 + 3 × { 12 - 6 ( 6 - 5 ) × 2} ÷ 20] is:
SSC Selection Post • 2025
Two solid hemispheres of radii R and 2R are melted to form a sphere and a cone. The cone has the same radius as the new sphere, and its height is twice the sphere's radius. Find the radius of the newly formed sphere.
SSC GD • 2026
Which of the following is smaller than 0.63?
SSC GD • 2025
The LCM of 44, 32, 176 and 352 is:
SSC GD • 2025
The population of a district is 384000, out of which 192000 are males. 69% of the population is literate. If 53% males are literate, then what percentage of females are literate?
SSC GD • 2026
(2.5)² × 2.5 − 3 × 0.5 × (2.5)² + 3 × 2.5 × (0.5)² − (0.5)³ = ?
SSC GD • 2023
A and B together can do a piece of work in 20 days, and B and C together can do the same work in 100 days. If B alone can do the same work in 140 days, then in how many days will A and C together can complete the same work?
SSC GD • 2025
The simple interest on a principal amount (in ₹) is ₹378 for a period of 5 years at the rate of 9% per annum. The principal amount (in ₹) is:
SSC GD • 2023
Find the value of: -67 + 700 ÷ [85 - {8 × 9 + (28 - 5 × 5)}].
SSC GD • 2025
The distance from Chandigarh to Amritsar is covered in 4.5 hours at a speed of 50 km/hr. By how much should the speed (in km/hr) be increased to save 30 minutes of travel time?
SSC Selection Post • 2025
Average of five consecutive even numbers is 76. What is the largest of these numbers?