Quantitative Aptitude PYQ — Page 226
24,303 questions across SSC exams.
SSC CGL • 2022
The distance between two places A and B is 140 km. Two cars x and y start simultaneously from A and B respectively. If they move in the same direction, they meet after 7 hours. If they move towards each other, they meet after one hour. What is the speed (in…
SSC CHSL • 2022
What is the volume of the largest right circular cone that can be cut out from a cube whose edge is 10 cm?
SSC CHSL • 2024
Following Pie chart presents monthly expenditure by Sushma and Preeti in different heads. Sushma and Preeti make equal expenditure every month. [Image] What is the ratio of central angles of expenditure on Education incurred by Sushma and Preeti?
SSC CGL • 2025
Three pipes, P, Q, and R can fill a tank in 10, 15, and 30 hours respectively. All three pipes are opened together for 1 hour, then pipe R is closed. How much time will it take for pipes P and Q to completely fill the tank?
SSC GD • 2023
The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder is 8.8 cm, then the height of the cone is:
SSC GD • 2019
Height of a right circular cylinder is 20 cm.If the radius is its base 14 cm, then what will be the curved surface area of the cylinder?
SSC GD • 2025
The average weight of Shivam, Rupesh, and Mandar is 46 kg. If the average weight of Shivam and Rupesh is 39 kg and that of Rupesh and Mandar is 48 kg, then the weight of Rupesh (in kg) is:
SSC CGL • 2021
If 3cos²θ - 4sinθ + 1 = 0,0° <θ<90°, then tanθ + secθ = ?
SSC CGL • 2024
If x = asecθcos∅, y = bsecθsin∅ and z = ctanθ, then the value of (x²over a²+y²over b²-z²over c²) is equal to:
SSC CHSL • 2023
A dealer gives 10%, 20%, and 30% successive discounts on an item. What is the single equivalent discount on the item?
SSC Selection Post • 2023
The students in three batches of a dance class are in ratio 2 : 3 : 5. If 20 students increase in each batch the ratio changes to 4 : 5 : 7. Find the total number of students in the three batches before the increase.
SSC CGL • 2023
If tan A = 3/8 , then the value of (3 sin A + 2 cos A)/(3 sin A - 2 cos A) is:
SSC CHSL • 2025
A machine is purchased for ₹80,000. Its value depreciates at the rate of 10% per year. What will be its value after 3 years?
SSC GD • 2019
Average of first eight multiples of 8 is
SSC GD • 2025
Evaluate: (-9) - (-60) ÷ (-15) + (-4) × 9
SSC CGL • 2025
In a company, the average salary of 5 junior employees is Rs. 30,000, and that of 4 senior employees is Rs. 60,000. What is the combined average salary?
SSC CGL • 2019
A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?
SSC Selection Post • 2019
What is the compound interest on a sum ₹10000 for: for 2 3/4 years at 12% p.a., the interest is compounded annually? (nearest to integer)
SSC GD • 2025
Abhishek and Deepanshi undertake to do a piece of work for ₹1,000. Abhishek alone can do it in 5 days and Deepanshi alone can do it in 10 days. With the help of Chitransh, they finish it in 2 days. How much should Chitransh be paid for his contribution?
SSC MTS • 2022
What is the value of a in the following equation? 34+16-a×[40div5-3]-15=0
SSC CGL • 2022
The radius of a circle is 10 cm. The angle made by chord AB at the center of this circle is 60 degrees. What is the length of this chord?
SSC CGL • 2023
If (a + b + c) = 19, and (a² + b² + c²) = 155, find the value of (a - b)² + (b - c)² + (c - a)².
SSC GD • 2019
u : v = 4 : 7 and v : w = 9 : 7. If u = 72, then what is the value of w?
SSC CGL • 2019
Study the following bar graph and answer the given question [Image] The no of companies whose production of motorcycles is equal to or more than the average demand of motorcycles is:
SSC GD • 2025
Divide ₹4,800 among Ram, Shyam and Kartik in the ratio of 4 : 8 : 3. Find the amount received by Shyam.
SSC Selection Post • 2024
A teacher travelled a distance of 22 km in 7 hours. He travelled partly on foot at the speed of 2 km/h and partly on a bicycle at the rate of 4 km/h. The distance travelled on foot is:
SSC CGL • 2024
In a right angle △ ABC , ∠ B = 90° , if tanA = 1, then 4 sinA cosA =_____.
SSC GD • 2023
A man rows his boat 525 m in 250 seconds along the stream and returns in 7 1over2 minutes. The rowing speed in still water (in km/h) is:
SSC CGL • 2021
Triangle ABC is right angled at B. BD is an altitude intersecting AC at D. If AC = 9 and CD = 3 cm, then find the measures of AB (in cm).
SSC CGL • 2022
A and B are two prime numbers such that A > B and their LCM is 209. The value of A² - B is:
SSC CGL • 2023
A sum of money invested at a certain rate of simple interest per annum amounts to 14,522 in seven years and to ₹18,906 in eleven years. Find the sum invested (in ₹).
SSC CHSL • 2020
If 2x³ + ax² + bx – 2 leaves the remainders 7 and 0 when divided by (2x – 3) and (x + 2), respectively, then the value of a and b respectively:
SSC Selection Post • 2020
The average weight of the students in a group was 75.4 kg. Later on, four students having weights 72.9 kg, 73.8 kg. 78.5 kg and 88.4 kg, respectively, joined the group. As a result, the average weight of all the students in the group increased by 0.24 kg…
SSC GD • 2026
An article is sold for 30 percent profit. The value of discount given is equal to the (2/5) of the selling price. What is the cost price of the article?
SSC CHSL • 2025
The population of a city increases by 25% in the first year and decreases by 20% in the second year. What is the net percentage change after 2 years?
SSC CHSL • 2020
The volume of a cube is 343 cm³. The edge of cube is:
SSC CGL • 2023
A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid ₹4,600 as a total interest to settle the loan completely. How much was the…
SSC GD • 2023
Mohan buys a chair at Rs.1,200. If he sells it at Rs.1,440, then what is the profit percentage?
SSC CGL • 2021
If the total surface area of a cylinder is 704 cm² and the ratio of height to base radius of the cylinder is 3 : 4, then what will be the volume of that cylinder?
SSC CHSL • 2019
In ΔABC, D and E are the points on sides AC and AB, respectively, such that ∠ADE = ∠B. If AD = 7.6 cm, AE = 7.2 cm, BE = 4.2 cm and BC = 8.4 cm, then DE is equal to:
SSC Selection Post • 2022
Anil works 3 times faster than Sandeep. If Sandeep can complete a work independently in 12 days, the number of days in which Anil and Sandeep can together finish the work is:
SSC CGL • 2024
If the selling price of an article is ₹1,792 after a 20% discount, then the marked price of the article is:
SSC CGL • 2025
A parallelogram is a quadrilateral in which:
SSC CGL • 2024
A circular arc whose radius is 14 cm, makes an angle of 45° at the centre. Find the perimeter (in cm) of the sector. (Use π=22/7 )
SSC GD • 2025
P can complete a round of circular track in 1 minute and 30 seconds while Q can complete a round in 45 seconds. If they start moving from the same point and move in opposite directions, then they meet after _ seconds.
SSC CHSL • 2024
Two numbers are in the ratio 2 : 3. Their sum is 135. Find the numbers.
SSC CHSL • 2023
Chords AB and CD of a circle intersect inside the circle at point F. If m(AF) 2.4 cm. m(BF) 1.8 cm, and m(CD) = 5.7 cm. What is the length (in cm) of the longer of the two line segments, CF and DF?
SSC MTS • 2022
The selling price of a pen is ₹660. If the profit is 20%, then what is the nominal profit earned on the sale of the pen?
SSC CHSL • 2025
How far will a bus travel in 4 hours at 55 km/h?
SSC CGL • 2022
0.5 is what percentage of 20?