Quantitative Aptitude PYQ — Page 293
24,303 questions across SSC exams.
SSC CGL • 2023
In a triangle ABC, the three angles are x, y, and y + 10. Also, 2x − 4y = 20°. Which type of triangle is ABC?
SSC CHSL • 2024
Last year, Geeta's monthly salary was ₹12,000 and Seeta's monthly salary was 10,000. This year, Geeta's monthly salary is 14,400, while Seeta's monthly salary is ₹12,500. If the percentage increase in Seeta's monthly salary this year over her monthly salary…
SSC CGL • 2024
If a² + b² + c² = 2(a + c - 1), then the value of a³ + b³ + c³ = ?
SSC Selection Post • 2024
A policeman spots a thief from a distance of 100 metres. When he starts running after the thief, the thief starts running as well. How far will the thief have to run before being overtaken if his speed is 8 km/h and the policeman's speed is 10 km/h?
SSC CHSL • 2024
In two successive years, 75 and 50 employees of a company appeared at the departmental examination. Respectively, 84% and 52% of them passed. The average rate of pass percentage is:
SSC CGL • 2025
The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?
SSC Selection Post • 2020
Sudha decided to donate 12% of her monthly income to an orphanage. On the day of donation, she changed her decision and donated a sum of ₹3,600, which was equal to 60% of what she had decided earlier. What is her monthly income (in ₹)?
SSC CHSL • 2022
The number of students who wore a yellow colored dress (a sector which represents 10%) is.
SSC CGL • 2023
It takes A and B, 3 and 6 hours, respectively, to complete a certain work. If they work on the alternate hour. How long will it take them to accomplish the task?
SSC CHSL • 2024
A patient in a hospital is given tea daily in a cylindrical cup of diameter 7 cm. If the cup is filled with tea to a height of 4 cm, how much tea the hospital has to prepare daily to serve 180 patients? (Use π=22/7 )
SSC CGL • 2022
P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
SSC CGL • 2025
A, B, and C can complete a job in 24, 36, and 72 days, respectively. A works every day, while B and C join A every fourth day. How long will it take to finish the task?
SSC CHSL • 2025
Two runners, A and B, start from the same point on a circular track of 400 m. They run in the same direction with speeds of 10 m/s and 7 m/s, respectively. How many times will they cross each other in 15 minutes?
SSC CHSL • 2023
CT is a tangent to a circle at the point T on the circle. Chord AB of the circle is extended to meet the tangent CT at the point C. If m (AB) = 3 cm and m (BC) = 2.4 cm, find the length (in cm) of the tangent CT.
SSC CGL • 2021
The area of a table top in the shape of an equilateral triangle is 9√3 cm². What is the length (in cm) of each side of the table?
SSC CGL • 2024
A dishonest merchant sells his groceries using weights that are 12% less than the true weights and makes a profit of 10%. Find his total gain percentage.
SSC CHSL • 2023
The distance between the centers of two circles having radii of 24 cm and 18 cm, respectively, is 48 cm. Find the length (in cm) of a transverse/indirect common tangent to the two circles.
SSC CHSL • 2020
If x + y = 15 and xy = 14, then the value of x – y is:
SSC CHSL • 2020
If one-fifth of one-fourth of a number is 35, then what is seven-eight of that number?
SSC Selection Post • 2020
If sin θ sec² θ = 2/3, 0⁰ θ 90⁰ then the value of (tan² θ + sin² θ) is:
SSC CGL • 2025
A number was mistakenly increased by 25% instead of decreased by 20%. By what percent is the final result more than the CORRECT value?
SSC CGL • 2024
What is the length (in cm) of each side of a cube if the volume of a cube is 13,824 cm³?
SSC GD • 2021
A shopkeeper gives 17% discount on the discounted price after giving an initial discount of 12% on the marked price of a refrigerator. If the final sale price is ₹ 21,912, the marked price (in ₹) is:
SSC CHSL • 2025
Convert the recurring decimal 0.363636... into a fraction in simplest form. Then, find the difference between this fraction and 1/3.
SSC CGL • 2025
A cone is melted and recast into another cone with half the radius. Find the new height if the original height was 12 cm.
SSC CGL • 2019
If the 10-digit number 67127y76x2 is divisible by 88, then the value of (7x - 2y) is:
SSC GD • 2019
The pie chart given here shows the spendings of a country on various sports during a particular year. Study the graph carefully and answer the questions given below it. [Image] If the total amount spent on sports during the year be Rs.18000, the amount spent…
SSC Selection Post • 2022
If 2x - 1overx = 3, x ≠ 0, then simplify 8x⁶ - 25x³ - 1
SSC CGL • 2024
In right-angled triangle ABC, ∠C = 90, CM is perpendicular on AB. If AB = 18 cm and BM = 6 cm, then find the length of CM.
SSC Selection Post • 2022
Manoj completed 30 km of his journey at 6 km/h and the remaining 40 km in 5 hours. His average speed for the whole journey is:
SSC GD • 2021
By selling a guitar for ₹846, Rakhi loses 6%. For how much should Rima sell it to gain 8%?
SSC CGL • 2025
If all three dimensions of a cuboid are increased by 10%, the volume increases by what percentage?
SSC CGL • 2021
Keshav, Surjeet and Thomas started a business with investments in the ratio 2 : 3 :4. The ratio of their period of investments is 5 : 6 : 9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaning profit was distributed among…
SSC CHSL • 2023
The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs 25 per m² (Take π = 22/7 )
SSC CHSL • 2025
Evaluate. (√6 + √2)² - (√6 - √2)²
SSC CHSL • 2022
6 men or 2 women or 4 boys can finish a work in 77 days. How many days will 1 man, 1 woman and 1 boy together take to finish the same work?
SSC CGL • 2025
A seller bought three different types of mobile covers C₁, C₂, and C₃. The ratio of their selling prices was 3 : 4 : 5. He made a profit of 25% on C₁, 10% on C₂, but incurred a loss of 20% on C₃. What is his approximate percentage gain or loss in the entire…
SSC CGL • 2022
What will be the remainder when 7⁴² is devided by 48?
SSC GD • 2019
In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of Rs. 24 per sq. m. The cost of making the path is: (Take π = 22/7)
SSC Selection Post • 2022
What is the percentage profit on selling a car at Rs. 6,00,000, whose cost price was Rs. 5,00,000?
SSC Selection Post • 2024
A and B complete the work in 12 and 15 days, respectively. They started the work alternately for 1 day each, and A started the work first. In how much time will 60% of the work be completed?
SSC CGL • 2023
Amar can complete a work in 15 days, and Prem, in 12 days. Starting with Amar, they work on alternate days. In how many days will the work be completed?
SSC CGL • 2024
What is the total number of runs scored by all four batsmen?
SSC Selection Post • 2020
There are five numbers. The second number is 25% more than the first or third number, the fourth number is 5over4 of the third number, and the fifth number is 3over2 of the third number. What is the average of the five numbers if the first number is 40?
SSC Selection Post • 2019
If x-1/x=7 , then what is the value of ( x³-1/(x³) ) ?
SSC GD • 2019
Two numbers are in the ratio 5 : 6. If 16 is subtracted from each, the numbers will be in the ratio 3 : 4. If 8 is added to the first number and 3 is subtracted from the second, then they will be in the ratio:
SSC Selection Post • 2020
An article is sold for ₹799.50 after allowing two successive discounts of 18% and 22% on its marked price. The cost price of the article is ₹1,000. If it is sold at the marked price, then the gain is:
SSC CGL • 2021
By selling an article for ₹ 640, a person losses 15% of its selling price. At what price (in ₹) should he sell it to gain 15% on its cost price?
SSC CPO • 2025
If the length, breadth, and height of a rectangular parallelepiped are 5 cm, 4 cm, and 3 cm, its volume is:
SSC Selection Post • 2022
What is the total number of female employees in the company?