Quantitative Aptitude PYQ — Page 383
24,303 questions across SSC exams.
SSC CHSL • 2021
A shopkeeper earns 17% profit by selling an article at 10% discount on its marked price. If its cost price is Rs.480, then the marked price (in Rs.) of the article is:
SSC MTS • 2022
What is the simple interest on a principal of Rs.24,000 for 4 years at the rate of 5% per annum?
SSC CGL • 2024
Find the value of: [ 4over3 tan²60° + 3 cos²30° — 2 sec²30° — 3over4 cot²60°] ÷ [sin 60° cos 30° — cos 60° sin 30°]
SSC CHSL • 2025
If x = √2 + √3, find x³ - 3x.
SSC CGL • 2025
If in triangle ABC, DE ∥ BC and AD/DB = 1/2, and AE = 5 cm, then EC is:
SSC CHSL • 2024
A shopkeeper sold an article at a 26% profit. On selling it for ₹2,250 more, he would get a profit of 41%. If this article is sold at 12% profit, then the selling price would be:
SSC CGL • 2025
A software company developed 800 licenses for a new application at a total cost of ₹4,000,000. They provided 50 licenses free to their top beta testers. For the remaining licenses, they offered a 15% discount on the market price of ₹6000 per license…
SSC CGL • 2025
Sachin covers half of his journey at 12 km/h and the remaining half at 3 km/h. His average speed is:
SSC CGL • 2023
If x% of 280 is equal to the 15% of 240 + 20% of 310, then the value of x is:
SSC CGL • 2020
If 3A = 4B = 5C, then A : B : C is equal to:
SSC CHSL • 2023
The angle subtended by a chord xy on the centre of a circle is 180°. If the length of this chord is 36 cm, then what will be the radius of this circle?
SSC CHSL • 2024
Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is 5√(13) cm. What is the distance between the chords?
SSC CGL • 2021
Expenditure on food is what percent more than expenditure on rent?
SSC CGL • 2024
Pipes A and B can fill a tank in 6 hours and 8 hours, respectively. Both pipes are opened together for 3 hours. After that pipe A is closed, and B continues to fill the tank. In how many hours will the tank be filled?
SSC CGL • 2023
Study the given bar-chart and answer the question that follows. The bar-chart shows the production of maize by a state (in 1000 tonnes) over the years. [Image] What was the percentage increase in the production of maize in 2019 compared to that in 2017?
SSC MTS • 2022
The average of a set of ten numbers is 40. If a number is removed from the set, then the average of the remaining numbers becomes 38. What was the number that was removed?
SSC CGL • 2024
The monthly incomes of A, B and C are in the ratio 2 : 9 : 3 and their expenses are in the ratio 3 : 9 : 5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
SSC CHSL • 2021
A solution contains acid and water in the ratio of 4:5. If 20% of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?
SSC Selection Post • 2022
Sujatha purchased two articles for a total of ₹1,080. By selling one at a profit of 25% and the other at a loss of 20%. She neither gains nor incurs a loss. What is the difference (in ₹) between the cost price of the two articles?
SSC CGL • 2025
A and B invested ₹90,000 and ₹1,50,000 respectively. A remained in the business for 8 months and B for 6 months. What is the total profit if B’s share is ₹12,000?
SSC Selection Post • 2022
If √(x) -1/(√(x)) =sqrt7 , then the value of x³ + 1/(x³) is:
SSC CGL • 2019
ABCD is a trapezium in which AB || DC and its diagonals intersect at P. If AP = (3x – 1) cm, PC = (5x – 3) cm, BP = (2x + 1) cm and PD = (6x – 5) cm, then the length of DB is:
SSC CGL • 2020
If x CosA - y SinA = 1 and x SinA + y CosA = 4, then the value of 17x² + 17y² is :
SSC CGL • 2025
An athlete runs a 300-meter race in 25 seconds. His speed in km/h is:
SSC CGL • 2025
M and N contribute to a business investment in the ratio 3:8. They earn a profit of ₹66,000. M is a working partner and receives 10% of the profit extra. What is M's total share?
SSC CGL • 2025
A cuboid has a volume of 350 cm³ and its length is twice its height. If the breadth is 7 cm, find its dimensions.
SSC CHSL • 2024
[(cosec31^°-sec59^°)/((sin18^°÷cos72^°))×(tan26^°)/(cot64^°)]+[(tan30^°+tan15^°)/((1-tan30^°tan15°))]= ___.
SSC Selection Post • 2022
The ratio of the perimeter to the length of a rectangle is 5 : 2. If the area of the rectangle is 16 cm², then find the breadth of the rectangle (in cm).
SSC CGL • 2022
If sin θ = 8/17, then find the value of tanθ.
SSC Selection Post • 2023
What is the fourth proportional to the numbers 8, 66, and 112?
SSC Selection Post • 2022
Which of the following is a prime number?
SSC Selection Post • 2022
The value of tan²(22ᵒ-θ)-tan(θ+68ᵒ)-cosec²(68ᵒ+θ)+cot(22ᵒ-θ)over3(cot²52ᵒ-sec²38ᵒ)+2(cosec²28ᵒ-tan²62ᵒ) is:
SSC CHSL • 2022
In a bag, black tablet covers and white tablet covers are in the ratio 5 : 9. If there are 450 white tablet covers, how many black tablet covers are there in the bag?
SSC CHSL • 2025
Two similar triangles have areas in the ratio of 9:25. What is the ratio of their corresponding altitudes?
SSC Selection Post • 2022
How many prime numbers are there between 30 to 85?
SSC CHSL • 2021
The sides AB and AC of ΔABC are produced to P and Q respectively. The bisectors of ∠CBP and ∠BCQ meet at R. If the measure of ∠A = 44°, the find the measure of ∠BRC/2.
SSC CHSL • 2023
The length, breadth, and height of a room are 7 m, 5 m, and 3m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. 16 per m²
SSC CGL • 2022
In a race, there are 4 members in a team. Each member has to cover 5 km one after another. If the total time taken is 30 minutes, then what would have been the average speed?
SSC Selection Post • 2024
In a 150-m race, if R gets a 5-metre head start, then he would beat S by 35 metres. If S gets a 25-metre head start in a 100-metre race, then ___ would win the race by ____ metres.
SSC CGL • 2024
If (x+1over x)=7 , x > 0 The positive value of (x−1over x) is:
SSC GD • 2019
Two numbers are less than a third number by 25% and 36% respectively. Second number is what percent less than the first number?
SSC CHSL • 2025
A batsman scored 45, 60, 55, and 40 runs in four matches. In the 5th match, he wants his average to reach exactly 55 runs. How many runs must he score in the 5th match?
SSC GD • 2019
The area of a square and a rectangle are equal. The length of the rectangle is greater than the side of square by 9 cm and its breadth is less than the side of square by 6 cm. What will be the perimeter of the rectangle?
SSC CGL • 2025
The volume of a sphere is 288π cm³. If the radius is doubled, what is the new volume?
SSC CGL • 2023
If x + y = 7 and xy = 19, then calculate the value of x² + y².
SSC Selection Post • 2022
The fourth proportional to 10.8, 3.6 and 20.4 is:
SSC CGL • 2021
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm, then find the length (in cm) of BC.
SSC CHSL • 2021
The pie chart shows the money spent by Aditya through credit cards of different banks. The total money spent by him through credit cards in a year is Rs. 3,60,000. [Image] How much more money was spent through Card C as compared to Card D?
SSC CGL • 2023
The following table shows the percentage distribution of employees in five different departments 1-5 in a company during the years 2020 and 2021. The total number of employees in 2020 and 2021 is 1200 and 1600, respectively. [Table] In which department is…
SSC CGL • 2021
The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference in A and B is: