Quantitative Aptitude PYQ — Page 127
24,303 questions across SSC exams.
SSC CGL • 2025
There are two parallel chords measuring 20 cm and 14 cm, both located on the same side of the center of a circle. The distance between the two chords is 3 cm. What is the radius of the circle?
SSC CGL • 2019
If a 10-digit number 1330x558y2 is divisible by 88, then the value of (x + y) is:
SSC CGL • 2022
The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?
SSC GD • 2023
The radius of the base of a conical vessel is 5 cm and its height is 24 cm. The vessel is full of water. This water is poured into a cylindrical vessel having the base radius 10 cm. The depth of the water in the cylindrical vessel is:
SSC GD • 2024
If a train runs at 6/7th of its original speed, then it reaches the station 20 minutes late. Find out the usual time taken by train to cover the distance.
SSC GD • 2021
A man sells two articles at Rs 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
SSC CGL • 2025
A solid cylinder of radius 6 cm is drilled by three cylindrical holes, each of radius 2 cm and length equal to the full height of the cylinder. The volume removed is approximately what percent of the original cylinder’s volume?
SSC CGL • 2022
In ∆PQR, S is a point on the side QR such that PS is the bisector of QPR. If PQ = 12 cm, QS = 3 cm and QR = 7 cm, then what is the length of side PR?
SSC GD • 2023
What is 10 percent of 15 percent of 25 percent of ₹4,800?
SSC CGL • 2020
A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 80ᵒ and 120ᵒ, respectively. The value of ∠BAC is:
SSC MTS • 2022
The length of a rectangle is 5 times of its breadth. If the breadth is 10 cm, then what is the perimeter of the rectangle?
SSC CHSL • 2025
A trader has two types of sugar: one at Rs.30/kg and another at Rs.50/kg. In what ratio should they be mixed to sell the mixture at Rs.40/kg without gain or loss?
SSC Selection Post • 2022
Simplify sqrt5-sqrt3oversqrt5+sqrt3 - sqrt5+sqrt3oversqrt5-sqrt3 .
SSC GD • 2023
The curved surface area of a cone is 4,455 cm2 and its diameter is 105 cm. What is its slant height? Take π = 22/7
SSC Selection Post • 2022
A customer paid ₹306 for an item after availing successive discounts of 10% and 15%. What is the marked price of the item (in₹)?
SSC GD • 2024
If U gets 5 percent more marks than V, then by what percentage marks of V are less than the marks of U?
SSC GD • 2023
The average score of 11 cricket team players in a one-day match is 32. The runs scored by the ten players are 11, 51, 2, 96, 21, 33, 0, 32, 9 and 14. What is the score of the 11th player?
SSC Selection Post • 2024
Ram goes to his office from his house at a speed of 8 km/h and returns at a speed of 2km/h. If he takes four hours to go and come back, find the distance between the house and the office.
SSC CHSL • 2024
A man walking at the speed of 4 km/h covers a certain distance in 6 hours and 15 minutes. If he covers the same distance by cycle in 5 hours and 10 minutes, then the speed of the cycle in km/h is:
SSC CHSL • 2024
By what percentage should a racer increase the speed to reduce the time by 25% to cover a fixed distance?
SSC Selection Post • 2022
If 2x+1 over 3x+1=0,x ≠0 ,then what is the value of ³√(27x³+1 over 8³)
SSC CHSL • 2023
The number of students in three different streams in different colleges is given below. [Table] The difference between the average number of students per college in commerce and the average number of students per stream in college 2 (Correct to 2 decimal…
SSC CHSL • 2022
What distance will be covered by a bus moving at 108 km/h in 40 seconds?
SSC CHSL • 2025
A, B, and C started a business. A invested Rs. 1,20,000, B invested Rs. 80,000, and C invested Rs. 1,00,000. After 6 months, A added Rs. 20,000, and C withdrew Rs. 10,000. If the total profit at the end of 2 years is Rs. 3,60,000, how much will A receive?
SSC CGL • 2020
In the following table, the production of various crops(in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow. [Table] The highest growth of sugarcane production over its previous year is recorded in the year:
SSC Selection Post • 2022
If a + b + c = 1, ab + bc + ca = -22 and abc = -40, then what is the value of (a³ + b³ +c³) + 5?
SSC GD • 2023
Rs.12,600 is divided among 15 labourers. There are 7 men, 3 women and 5 boys. If each woman receives three times as much as each boy, and each man receives seven times as much as each boy, the share of each woman is ____.
SSC GD • 2021
A certain sum amounts to Rs. 10164 in 4 years and to Rs. 12320 in 7 1/2 years at the same rate of interest per annum at simple interest. The sum and the rate of interest are, respectively?
SSC CHSL • 2025
What is the square root of 99980001?
SSC CHSL • 2025
Simplify the expression: sin²x + cos²x + tan²x.
SSC Selection Post • 2023
An item is bought on a condition that three equal instalments of ₹3,993 are to be paid at a rate of 10% compound interest, compounded annually. The cost of the item is:
SSC CHSL • 2023
Sanjana can row a boat at 9 km/h in the still water. It takes her twice as long to row up a certain distance as to row down the same distance in the river. What is the rate of the stream (in km/h)?
SSC GD • 2026
If 25 percent of 500 is 25 percent more than A, then what is the value of A?
SSC CHSL • 2024
If the perimeters of two similar triangles are in the ratio of 4 : 7, and the sum of the areas is 195 cm², then what is 1/3 of the difference between the areas (in cm²) of the two triangles?
SSC GD • 2025
The cost price of a calculator is ₹315. If the profit percentage is 20%, then what is the value (in ₹) of the profit?
SSC MTS • 2019
If P : Q = 5 : 2, then (2P - 3Q) : (3P - 5Q) is equal to:
SSC CGL • 2025
Given x - 1/x = 3, find the value of x⁴+ 1/(x⁴) .
SSC CHSL • 2025
The decimal expansion of a rational number is:
SSC GD • 2026
40 percent of the cost price of an article is equal to the 50 percent of its selling price. What is the loss percentage?
SSC CGL • 2019
If the radius of the base of a cone is doubled and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?
SSC CHSL • 2024
Two stations T1 and T2 are 300 km apart. A car starts from station T1 at 8 am and moves towards station T2 at a speed of 45km/hr and at 10 am another car starts from station T2 and moves towards T1 at a speed of 60km/hr. Then the cars will meet at:
SSC CGL • 2023
Racer A and racer B run a race of 18 km on a circular track of length 800 m. Both complete one round in 200 sec and 250 sec, respectively. After how much time from the start will the faster person meet the slower person for the last time?
SSC CGL • 2019
The price of sugar is increased by 24%. A person wants to increase his expenditure by 18% only. By approximately what percent should he decrease his consumption?
SSC CGL • 2021
The following bar graph shows the amount ( in Lakh Rs ) invested by a Companyin purchasing raw material over the years and the value (in Lakh Rs) of finished goods sold by the Company over the years. [Image] The ratio of total amount invested for purchasing…
SSC CGL • 2024
The value of bigg( cosecAover cosecA-1+cosecAover cosecA+1 bigg) bigg( secAover secA-1+secAover secA+1 bigg)⁻¹ ,when A = 60° is:
SSC Selection Post • 2020
Study the table below and answer the question. The number of students enrolled for a Vocational Course (VC) in Institutes A, B, C, D, and E during 6 years: [Table] The total number of students enrolled in VC in Institute A in 2014, 2016, and 2017 is what…
SSC GD • 2023
The LCM of two numbers is 15 times their HCF. The sum of the LCM and the HCF is 112. If one of the numbers is 49, then the other number is:
SSC GD • 2019
A trader allows two successive discounts of 5% each on the marked price of a sofa set for Rs. 24,500. The selling price of sofa set is :
SSC CGL • 2024
Find the difference in the average production of B and D during 2018-2023.
SSC Selection Post • 2024
Find the value of (cos25° - sin65°)/(cos25° + cos65°) .