Quantitative Aptitude PYQ — Page 163
24,303 questions across SSC exams.
SSC GD • 2024
Which of the following number is not divisible by 9?
SSC MTS • 2022
P₁is the average of all prime numbers below 12 and P₂ is the average of all prime numbers between 12 and 30. What is the value of 5P₁ - P₂?
SSC CGL • 2025
A circular pond is surrounded by a path 2 m wide. If the total area (pond + path) is 1386 m² and the pond area is 1134.57 m², what is the radius of the pond?
SSC MTS • 2022
If 3 : X :: 12 : 20, then what is the value of x?
SSC CGL • 2022
Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the poles is 24 m. What is the distance (in m) between their tops?
SSC MTS • 2022
Find the largest number with which when 394 and 658 are divided, they leave remainders of 1 and 3, respectively.
SSC GD • 2026
10 women can do half part of the total work in 20 days. How many more women will be required to complete the remaining work in 4 days?
SSC CHSL • 2021
If a + b + c = 5 and a³ + b³ + c³ - 3abc = 185, then the value of ab + bc + ca lies between:
SSC GD • 2025
The average of thirteen numbers is 57. The average of first three numbers is 48, and that of the next seven numbers is 58. The 11th number is two times the 12th number and 12th number is 3 less than the 13th number. What is the average of the 11th and 13th…
SSC CGL • 2018
What is the value of [tan²(90 - θ) - sin²(90 - θ)] cosec²(90 - θ) cot²(90 - θ) ?
SSC CGL • 2020
A wheel covers a distance of 1,100 cm in one round. The radius of the wheel is:
SSC CHSL • 2022
The ratio of the radii of two right circular cylinders is 2 : 3. If their heights are in the ratio 5 : 3, find the ratio of their volumes.
SSC GD • 2023
Mohan and Sohan invested Rs. 3,000 and Rs. 4,000, respectively, in a property, and after 6 months, Sohan withdrew. If at the end of the year, their profit is Rs. 540, then what is the profit earned by Mohan?
SSC CGL • 2020
The difference in the compound interest on a certain sum at 10% p.a. for one year, when the interest is compounded half-yearly and yearly, is 88.80. What is the simple interest on the same sum for 1 year and 8 months at the same rate?
SSC CGL • 2023
What is the value of sec²54° - cot²36° + 3/2 sin²37° × sec²53° + 2/(√(3)) tan60°?
SSC CHSL • 2022
Rahul bought 20 dozen toys at a cost of ₹375 each dozen. He sold each of them for ₹33. The profit percentage is:
SSC CHSL • 2025
An article costing Rs. 200 is sold at a loss of 10%. Find the selling price.
SSC CHSL • 2025
An artist uses a regular decagon to make a frame. If the side is 12 cm, what's the total border length?
SSC Selection Post • 2019
What is the ratio of the total population of city A for 2013, 2015 and 2017 to the total population of city B for 2015 and 2017? [Image]
SSC Selection Post • 2022
[(sinθ tanθ + cosθ)² - 1] is equal to:
SSC CHSL • 2024
Simplify: \(3³ + 2³) × 22/7\ × \(6² + 3² - 4²) ÷ (14 1/2)\
SSC CGL • 2020
If x + y + z = 10 and xy + yz + zx = 15, then find the value of x³ + y³ + z³ - 3xyz
SSC GD • 2021
A single discount equivalent to three successive discounts i.e. 7%, 12% and 5% is:
SSC CHSL • 2024
In ∆ABC the straight line parallel to the side BC meets AB and AC at the points P and Q, respectively. If AP = QC, the length of AB is 12 cm and the length of AQ is 2 cm, then the length (in cm) of CQ is:
SSC CGL • 2025
The sum of all interior angles of a 20-sided polygon is:
SSC MTS • 2022
What is the largest two-digit number that is divisible by both 7 and 3?
SSC CHSL • 2019
If x = 2 + √5 then the value of x³ + 1/x³ is:
SSC CGL • 2022
If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle?
SSC CGL • 2024
In a ΔLMN, ∠L = 118° and LM = LN. Find ∠N.
SSC GD • 2019
What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?
SSC CHSL • 2021
A shopkeeper charges Rs.1.50 to photocopy a sheet of paper and a discount of 5.5% is given on all photocopies done after 400 sheets. How much will it cost to photocopy 800 sheets of paper?
SSC CGL • 2016
The compound interest on Rs. 4000 for 4 years at 10% per annum will be?
SSC CGL • 2023
What is the central angle corresponding to the sector indicating the expenses incurred on Health? [Image]
SSC Selection Post • 2022
A thief was noticed by a policeman from a distance of 80 metres. The speed of the thief is 21 km/h and the policeman is 20 km/h. What is the distance between them after 18 seconds?
SSC CHSL • 2025
A vendor buys apples at 10 for ₹120 and sells them at 8 for ₹100. What is his profit or loss percentage?
SSC MTS • 2022
A shopkeeper wants to make a profit of 8% after giving a discount of 14%. At what approximate percentage above the cost price should he mark his goods?
SSC GD • 2021
The difference between the selling prices of an article sold at a discount of 14(1/2)% and 10(1/2)% is 48. If the marked price is 25% more than the cost price, then the cost price of the article is:
SSC GD • 2024
The compound interest (compounding half-yearly) received on Rs. 10000 for 1.5 years is Rs. 3676.31. What is the rate of interest per annum?
SSC CHSL • 2024
A can complete a piece of work in 20 days and B can complete the same work in 10 days. With the help of C, working together they completed the work in 5 days. The number of days in which C alone can complete the work is:
SSC CHSL • 2024
Which year shows the highest change in the revenue obtained from magazines?
SSC CHSL • 2024
A shopkeeper sells his goods using weights 27% less than true weights and claims to sell his goods at the cost price. His gain percent (rounded off to 1 decimal place) is:
SSC CGL • 2023
The value of tan5°tan25°tan45°tan65°tan85° is equal to _____.
SSC CHSL • 2024
Two parallel chords are drawn in a circle of radius 25 cm. The distance between the two chords is 27 cm. If the length of one chord is 48 cm, then the length of the other chord is equal to:
SSC Selection Post • 2023
Which of the following numbers is divisible by 120?
SSC Selection Post • 2023
Two numbers are in the ratio of 7 : 6. If the difference between their squares is 637, then the numbers are:
SSC Selection Post • 2024
If x³ = 184 + y³ and x = 4 + y, then the value of (x + y) is (given that x > 0 and y > 0):
SSC CGL • 2022
Find the smallest number which should be added to the smallest number divisible by 6, 9 and 15 to make it a perfect square.
SSC GD • 2025
A man sold an article for ₹222, there by gaining 20%. The cost of the article (in ₹) was:
SSC Selection Post • 2022
What is the fourth proportional to 131over2, 93over4 \ and\ 74over5 ?
SSC CGL • 2021
Point M and N are on the sides PQ and QR respectively of a triangle PQR, right angled at Q. If PN = 9 cm, MR = 7 cm and MN = 3 cm, then find the length of PR (in cm).