Quantitative Aptitude PYQ — Page 417
24,303 questions across SSC exams.
SSC Selection Post • 2022
Pipes A and B can fill a tank in 20 hours and 30 hours, respectively, and pipe C is an outlet pipe. If all three pipes are opened together, it takes 1 1over3 hour more than the time taken by A and B together to fill the tank. A and B are opened together for…
SSC CGL • 2022
The bisector of ∠B in ΔABC meets AC at D. If AB = 12 cm, BC = 18 cm and AC = 15 cm, then the length of AD(in cm) is:
SSC CGL • 2025
The set of real numbers includes which of the following?
SSC CHSL • 2022
The average runs scored by Sunil in 17 innings is 37. What is his score in the 17^(th)inning, thereby, increasing his average score by 9 runs?
SSC CGL • 2019
By how much above the cost price should an article be marked up for sale so that after allowing two successive discounts of 20% and 6.25% on it, a net gain of 20% is made on the cost?
SSC MTS • 2022
If the salary of A is 12% more than that of B, then by what percentage is the salary of B less than that of A? [Give your answer correct to 1 place of decimal.]
SSC CGL • 2024
What is the average income from school as a salary per year earned by the person over the given years?
SSC CGL • 2024
Simplify: 13 – [7 – (4 + 7) – {7 – (7 – 4 + 7)} + 14]
SSC CGL • 2023
Solve the following expression. 8 + (-9 - 3) - (-12 - 5)
SSC CHSL • 2023
The arc length of a sector of a circle that subtends a 22.5° angle at the center is given as 16.5 cm. What will be the radius (in cm) of the circle? [use π=22over 7 ]
SSC CGL • 2022
The ratio between the present ages of A and B is 2 : 3, respectively. After 5 years, the ratio between their ages will be 3 : 4. What is B's age at present?
SSC CGL • 2023
The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.
SSC CGL • 2020
The curved surface area of a hemisphere with radius 7 cm is: (Take π = 22/7)
SSC Selection Post • 2024
The average of v numbers is w², and that of w numbers is v². Then the average of all the numbers is:
SSC CHSL • 2020
If the number 59a44b is divisible by 36, then the maximum value of a + b is:
SSC GD • 2021
Pens are bought by a shopkeeper at the rate of ₹1,200 for 150 pens and sold at the rate of ₹1,620 for 180 pens. His profit or loss percent is:
SSC CGL • 2022
The HCF of two numbers is 12. Which one of the following can never be their LCM?
SSC CGL • 2022
The breakup of the total number of employees of a company working in different offices (A to E), in degrees; is given in the pie chart. Total number of employees = 2400. [Image] If the percentage of male employees in office C is 20% and that of female…
SSC CHSL • 2020
If sinx = 3/5, 0 ≤ x ≤ 90ᵒ, then the value of cotx.secx is:
SSC CHSL • 2025
If x + y = 7 and xy = 12, calculate the value of x² + y².
SSC GD • 2021
A can do 2/5 of a work in 6 days and B can do 30% of the same work in 3 days. They worked for 4 days. The remaining work was completed by C alone in 6 days. B and C together can complete 70% of the original work in:
SSC CHSL • 2023
If tan x = 10/17 , then what is the value of sin x?
SSC CGL • 2020
A person divided a certain sum between his three sons in the ratio 3 : 4 : 5. had he divided the sum in the ratio 1/3 : 1/4 : 1/5 , the son, who got the least share earlier, would have got Rs 1,188 more. The sum (in Rs) was:
SSC CHSL • 2021
If x⁴ - 142x² + 1 = 0, then the value of x³ + 1/(x³) is:
SSC CHSL • 2022
Triangles ABC and PQR are similar to each other. If BC = 5 cm, QR = 12.5 cm and PQ = 6.25 cm, find AB.
SSC CGL • 2024
Which of the following are the angles of a scalene triangle?
SSC CHSL • 2023
If x²- 5sqrt5 x + 1 = 0 , and x > 0, what is the value of (x³-1over x³) ?
SSC CHSL • 2024
The radii of the two circles are 7 cm and 4 cm. If the distance between their centres is 25 cm, then the length of the transverse common tangent is equal to:
SSC CHSL • 2022
A man borrowed some money and returned it in two equal instalments of Rs.3,025 each. If the rate of interest is 10% per annum, compound annually, find the sum borrowed.
SSC CGL • 2021
The given histogram represent the marks obtained by 128 students. Read the graph and answer the question that follows. [Image] What percent of students got marks less than 60?
SSC CHSL • 2019
After allowing a discount of 10% on the marked price of an article, it is sold for Rs. 360. Had the discount not been given, the profit would have been 25%. What is the cost price of the article?
SSC CGL • 2025
Which set does NOT contain negative numbers?
SSC Selection Post • 2020
On selling a television at a 6% profit and a fridge at a 9% profit, a shopkeeper gains ₹5,100. However, if the shopkeeper sells the television at a 99% profit and the fridge at a 6% loss, he gains 1,800 on the whole transaction. The cost price (in ₹) of the…
SSC CGL • 2025
A ₹36,000 annual bonus is distributed among Sales, Marketing, and Operations in a 4:5:3 ratio. Marketing uses ₹3,000 for team building and ₹1,500 for an intern, then allocates the rest to two top performers in a 5:4 ratio. How much does the smaller share…
SSC CHSL • 2024
The triangle has sides 3 cm, 4 cm, and 5 cm. What is the length of the perpendicular from the opposite vertex to the side whose length is 5 cm?
SSC CGL • 2024
What is the volume (in cm³) of a cylinder if the radius of the cylinder is 8 cm and the height is 14 cm? (Take π =22/7 )
SSC CHSL • 2023
If A = 1/7 and B = 1/8 and the average of A, B and C is 1/13 , then the value of C is:
SSC CHSL • 2025
Simplify the expression: (1−sinx)(1+sinx).
SSC Selection Post • 2023
Solve: (9/8 + 8/9)² - (9/8 - 8/9)² .
SSC CGL • 2019
Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?
SSC CGL • 2021
If a - 12/a = 1, where a > 0, then the value of a² + 16/(a²) is :
SSC GD • 2021
An electric heater was sold at a profit of 12%. If its cost had been 5% less and it had been sold for ₹180 less, the profit would have been 10%. What is the cost price of the electric heater?
SSC CHSL • 2020
25 men can complete a task in 16 days. Four days after they started working, 5 more men, with equal workmanship, joined them. How many days will be needed by all to complete the remaining task?
SSC CGL • 2022
If x²+y²+z²=xy+yz+zx and x = 1, then find the value of (10x⁴+5y⁴+7z⁴)/(13x²y²+6y²z²+3z²x²)
SSC CHSL • 2021
If the angle between the internal bisectors of two angles ∠ B and ∠ C of a triangle ABC is 125°, then the value of ∠ A is:
SSC CHSL • 2023
A trader offers the following discount schemes for the purchase of his goods. Find the scheme which has the minimum discount. (i) Two successive discounts of 12% each (ii) Discount of 20% (iii) Buy 5 and get 1 free (iv) Buy 6 and get 2 free
SSC CGL • 2025
Given that W : x = 5 : 6, X : Y = 3 : 7, and Y : Z = 8 : 9, find the compound ratio W : X : Y : Z.
SSC CGL • 2025
If A is 25% more than B, and B is 20% more than C, then what is A : C?
SSC Selection Post • 2022
On a marked price, the difference between the selling prices with a discount of 35% and two successive discounts of 20% and 15% is ₹990. The marked price of the article (in ₹) is:
SSC Selection Post • 2023
A trader marked a table at ₹37,062, and sold it, allowing a 33% discount. If his profit was 42%, then the cost price (in ₹) of the table was: