Quantitative Aptitude PYQ — Page 61
24,303 questions across SSC exams.
SSC Selection Post • 2025
Which number set includes all integers and rational numbers?
SSC Selection Post • 2025
In a circle, a chord subtends an angle of 60° at the center. What is the angle subtended by the same chord at any point on the remaining part of the circle?
SSC Selection Post • 2025
Chords AB and CD intersect inside a circle at point O. If AO = 8 cm, OB = 12 cm, and CO = 6 cm, find OD.(O is the origin)
SSC Selection Post • 2025
What is the ratio of surface areas of two spheres whose radii are in the ratio 2:3?
SSC CGL • 2023
What is the perimeter of a square inscribed in a circle of radius 5 cm?
SSC Selection Post • 2025
A right prism has a trapezium-shaped base with parallel sides 6 cm and 10 cm, height of trapezium 5 cm, and prism height 15 cm. Find the volume.
SSC CGL • 2025
(³√(6859))/(⁴√(1296))× 3/57× 42=?
SSC CGL • 2025
The LCM of 2³× 9²× 13, 2²× 13²× 19 and 9³× 13²× 19²
SSC Selection Post • 2025
A room has a floor in the shape of a rectangle (18 m × 10 m), with a triangular extension on one end. The triangle has a base of 10 m and height of 6 m. What is the total area of the floor?
SSC Selection Post • 2025
A bottle is made by attaching a hemisphere to a cylinder of the same radius. Radius = 3.5 cm, height of cylinder = 10 cm. Find the total surface area of the bottle.
SSC MTS • 2024
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (7, 40, 9 ) (9,71, 10) (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g…
SSC CHSL • 2023
A person borrowed some money on simple interest. After 3 years, he returned 4/3 of the money to the lender. What was the rate of interest?
SSC CGL • 2020
As observed from the top of a light house, 120√3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30º to 60º. The distance travelled by the ship during the period of observation is :
SSC CGL • 2020
In a triangle, ABC, AB = AC and the perimeter of △ABC is 8(2 +√2) cm. If the length of BC is √2 times the length of AB, then find the area of △ABC.
SSC CGL • 2023
The cost of 3 kg of rice is ₹180. The cost of 8 kg of rice is equal to that of 5 kg of pulse. The cost of 15 kg of pulses is equal to that of 2 kg of tea. The cost of 3 kg of tea is equal to that of 6 kg of walnuts. What is the cost (in ₹) of 10 kg of walnuts?
SSC MTS • 2024
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 69 − 36 × 6 ÷ 12 + 5 = ?
SSC Selection Post • 2025
The relationship between integers and whole numbers can be expressed as:
SSC Selection Post • 2025
Two right prisms have the same height, but their bases are triangles with areas in the ratio 3:5. What is the ratio of their volumes?
SSC CGL • 2017
A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?
SSC Selection Post • 2025
Evaluate 1/28 + 1/35 + 1/49 + 1/56.
SSC CGL • 2023
A sum triple itself in 9 years at simple interest. Find the rate of interest per annum is.
SSC Selection Post • 2025
A cuboid with dimensions (8 × 2 × 4) meters is melted and recast into a cube.Find the total surface area of the cube.
SSC Selection Post • 2025
Rational numbers are a subset of:
SSC CGL • 2023
Find the value of (√(1.24)× √(2.79))/(√(2.64)× √(5.94))
SSC CGL • 2022
Let x = (433)²⁴ - (377)³⁸ + (166)⁵⁴. What is the units digit of x?
SSC Selection Post • 2025
In a circle with center O, two chords AB and CD intersect internally at point E. If ∠AEC = 95° and ∠AOD = 110°, then ∠BOC is equal to:
SSC CGL • 2018
In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in cm) of MN ? [Image]
SSC Selection Post • 2025
If a number is rational, it cannot be:
SSC Selection Post • 2025
Evaluate: 1/28 + 1/35 + 1/49 + 1/56
SSC CHSL • 2024
Find the value of √(625)+ √(625/100)+ √(625/10000) + √(625/1000000) .
SSC Selection Post • 2025
Which pair of number sets has the same elements?
SSC Selection Post • 2025
Find the value of 0.1 + 0.11 + 0.111
SSC Selection Post • 2025
Find the length of the longest pole that can be placed in a cubical room of edge 27 cm.
SSC CGL • 2016
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
SSC CGL • 2020
Let D and E be two points on the side BC of △ABC such that AD = AE and ∠BAD = ∠EAC. If AB = (3x +1) cm, BD = 9 cm, AC = 34 cm and EC = (y + 1) cm, then the value of (x + y) is:
SSC CGL • 2017
A team of 8 persons joins in a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points the team scored was?
SSC CGL • 2025
If x=4+sqrt6 and y=4-sqrt6 then the value of x²+y² is:
SSC CGL • 2023
The LCM of x²− 8x + 15 and x² − 5x + 6 is:
SSC Selection Post • 2025
What is the sum of 3(5/8)+ 4(7/12) written as a mixed number in simplest form?
SSC CHSL • 2024
In an election, a candidate who gets 90% votes is elected by a margin of 800 votes. What is the total number of votes polled? Note: Only two candidates are contesting the election and assume all the votes were valid.
SSC Selection Post • 2025
3.25 as a mixed number is:
SSC Selection Post • 2025
Riya drank 0.75 liters of water in the morning and 3(1/2) liter in the evening. How much water did she drink in total?
SSC Selection Post • 2025
If triangle ABC is congruent to triangle FED, which of the following is true?
SSC CGL • 2023
If A = (58² - 25²)/(46² - 37²), B = (26² - 15²)/(56² - 15²) then the value of 1/B - 20/A is:
SSC Selection Post • 2025
Quadrilateral ABCD is cyclic, ∠A = 70°, ∠C = 110°, and the diagonals intersect at point E. What is the value of ∠B + ∠D?
SSC CGL • 2019
The radius of the base of a right circular cylinder is 3 cm & its curved surface area is 60 πcm². The volume of cylinder ( in cubic cm) is:
SSC Selection Post • 2025
The ratio of the radius of Hemisphere A to Hemisphere B is 2 : 1.If the curved surface area of Hemisphere A is equal to the volume of Hemisphere B, find the radius of Hemisphere B.
SSC Selection Post • 2025
The total surface area of a hemisphere is 4158 m². If the radius of the hemisphere becomes one-third of its original size, what will be the new curved surface area of the hemisphere? (Use π = 22/7)
SSC CGL • 2020
If 9x² + y² = 37 and xy = 2, x, y > 0, then the value of (27x³ + y³) is:
SSC CGL • 2018
AB and AC are two tangents to a circle whose radius is 6 cm. If ∠BAC = 60°, then what is the value (in cm) of √(AB² + AC²) ?