Quantitative Aptitude PYQ — Page 74
24,303 questions across SSC exams.
SSC Selection Post • 2025
A is twice as efficient as B. Together they finish a work in 12 days. How long would B take alone?
SSC Selection Post • 2025
A solid hemisphere is drilled with a cylindrical with radius R/2 hole through its center. If the height of the removed cylinder equals the hemisphere’s radius R, find the ratio of the volume removed to the volume remaining.
SSC CGL • 2022
Let p, q, r and s be positive natural numbers having three exact factors including 1 and the number itself. If q > p and both are two digit numbers, and r > s and both are one-digit numbers, then the value of the expression (p-q-1)/(r-s) is:
SSC CGL • 2019
The base of a right pyramid is an equilateral triangle with side 8cm and the height of the pyramid is 24√3cm. The volume of pyramid (in cm³) is ?
SSC CGL • 2018
A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm², then what is the height (in cm) of prism?
SSC CGL • 2020
A sold an item to B at 20% gain, B sold it to C at 8% gain. C sold it to D at 25% loss. If the difference between the profits of A and B is Rs 260, then D bought it for:
SSC Selection Post • 2025
A can complete a piece of work in 18 days, and B can do it in 27 days.If they work together, how many days will they take to complete the work?
SSC Selection Post • 2025
A shopkeeper allows two successive discounts of 20% and 10% on an article marked at ₹5,000. If he still earns a profit of 12%, what is the cost price of the article?
SSC CGL • 2018
What are the total number of students who were present in the Biology examination from all the schools together?
SSC Selection Post • 2025
A solid hemisphere is melted into a smaller hemisphere and a sphere of equal radii. If the smaller hemisphere’s radius is r, find the radius R of the original hemisphere.
SSC GD • 2023
X bought 40 pencils for a total of Rs 180 and bought 2 dozens of pens for Rs 180. Find the difference between the price of one pen and one pencil.
SSC Selection Post • 2025
A solid hemisphere is drilled with a cylindrical with radius R hole through its center. If the height of the removed cylinder equals the hemisphere’s radius R, find the ratio of the volume removed to the volume remaining.
SSC CGL • 2020
The value of (cosec²30°sin²45° + sec²60°) / (tan60°cosec²45° - sec²60°tan45°) is:
SSC Selection Post • 2025
A toy car is marked at Rs. 2,700 and is available at a 40% discount. What is the selling price?
SSC CGL • 2016
If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is
SSC CGL • 2018
On an average how many residents of city Y are working in each department?
SSC CGL • 2022
The radius of a solid right circular cone is 36 cm and its height is 105 cm. The total surface area (in cm²) of the cone is:
SSC Selection Post • 2025
A cylindrical container with internal radius 7 cm and height 30 cm is completely filled with water. The water is then poured into identical conical vessels, each having a radius of 3.5 cm and height of 6 cm. How many such conical vessels can be completely…
SSC Selection Post • 2025
A man's salary is increased by 40% and then decreased by 30%. What is the net effect on his salary?
SSC Selection Post • 2025
A TV set marked at ₹18,000 is sold for ₹15,300. Find the discount percentage.
SSC Selection Post • 2025
If (3x + 2/x − 4) = 10, what is the value of (9x² + 4/x² + 24)?
SSC Selection Post • 2025
The average weight of 39 boys travelling to Ladakh is 30. If an fat boy with weight 130 kg join them. What will be the average weight of the group travelling to Ladakh?
SSC Selection Post • 2025
A and B together can do a work in 6 days. B and C together can do it in 8 days. A and C together can do it in 12 days. In how many days can A alone do the work?
SSC CGL • 2018
A right prism has a square base with side of base 4 cm and the height of the prism is 9 cm. The prism is cut into three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and bottom part respectively ?
SSC Selection Post • 2025
Two trains, each 700 meters long, are moving in opposite directions at speeds of 45 km/h and 55 km/h. How long will it take for the trains to completely pass each other?
SSC CGL • 2018
If sin x = 1/2 and sin y = 2/3, then what is the value of [Image]
SSC Selection Post • 2025
Each side of a square park is 74 meters. A 2-meter-wide uniform path inside the park along its boundary is formed. Find the difference between the perimeter of the park and the path now.
SSC Selection Post • 2025
Simplify: √12 + √27
SSC Selection Post • 2025
A man on a lighthouse that stands 50 meters tall is observing a boat moving away from it. Over the course of 10 seconds, the angle of depression to the boat shifts from 60° to 30°. What is the approximate speed of the boat?
SSC CGL • 2016
A businessman's earning increase by 25%in one year but decreases by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs.72000. Whatis his present earning?
SSC CGL • 2019
The ratio of the income of A to that of B is 5 : 7. A and B save Rs 4000 and Rs 5000 respectively. If the expenditure of A is equal to [Image] of the expenditure of B, then the total income of A and B is ?
SSC CGL • 2018
What is the average of the number of the students who were present in Physics examination from school N, K and L?
SSC GD • 2026
61 + 45 - 32 + (28 + 17) × 2 - 84 = ?
SSC GD • 2025
A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 24% less than what is written on it. Find his profit percentage.
SSC GD • 2023
Which of the given pairs form a co-prime numbers pair?
SSC GD • 2023
In an election between two candidates, the one who gets 75% of the votes is elected by a majority of 520 votes. What is the total number of votes polled?
SSC GD • 2024
The average salary of a company's eight employees is Rs. 6000 per year. If the average salary of the first 4 employees is 5500 and the average salary of the next 2 employees is Rs. 7000, what is the average salary of the remaining 2 employees to maintain the…
SSC GD • 2025
A store offers two successive discounts of 12% and 18% on an item. What is the equivalent single discount that a customer would receive if these two discounts were applied together?
SSC GD • 2026
65 + 83 - 44 + (39 + 16) × 2 - 88 = ?
SSC GD • 2024
The simple interest on a certain sum of money at the rate of 6 % per annum for 2 years is Rs. 960. What is the compound interest (compounding annually) on the same sum period and at the same rate of interest?
SSC GD • 2023
What will be the difference in the compound interest if a sum of Rs.12,000 is compounded annually and half-yearly at an annual rate of 10% for 2 years? Note: Round off the decimal to the nearest number.
SSC GD • 2025
The cost of painting a spherical vessel of radius 7cm is Rs.18,480. What is the cost of painting per square centimetre? (Use π = 22/7)
SSC CGL • 2016
A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be largest in shape of:
SSC GD • 2024
Marked price ofa chair is Rs. 5000. After giving two successive discounts of 10 percent and x percent, the chair is sold for Rs. 3150. What ts the value of x?
SSC GD • 2023
Three bells commence tolling together and toll at intervals of 8 seconds, 10 seconds, and 12 seconds, respectively. In 32 minutes, how many times do they toll together?
SSC GD • 2024
Simple interest on a sum for 5 years is equal to 25 percent of the principal. In how many years interest will be equal to the principal?
SSC GD • 2023
The monthly income of a person was Rs 15,400 and his monthly expenditure was Rs 7,200. His income increased by 20% and his expenditure increased by 5%. Find the percentage increase in his savings.
SSC GD • 2025
The marked price of an electronic watch in a store is ₹25,960, and it is available at a discount of 20%. What is the price (in ₹) that a customer pays if he buys it from the store?
SSC GD • 2023
The marked price of a woollen jacket is Rs.800. The shopkeeper allows a discount of 10% on every item. Due to off-season, the shopkeeper allows additional discount of 5% on jacket. Find the selling price of the jacket?
SSC CGL • 2022
A dealer offers a cash discount of 20% and still makes a profit of 20%. If he further sells 8 articles at a rate of 6 articles, then how much percentage above the cost price does he mark on each article?