Quantitative Aptitude PYQ — Page 175
24,303 questions across SSC exams.
SSC CHSL • 2022
A boat’s speed in still water is 22 km/h, while the river is flowing with a speed of 8 km/h and the time taken to cover a certain distance upstream is 4 hours more than the time taken to cover the same distance downstream. Find the distance.
SSC CGL • 2023
The area of the sector of a circle of radius 12 cm is 32 π cm². Find the length of the corresponding arc of the sector.
SSC CHSL • 2023
The bar graph given below shows the sales of bikes and cars of five companies J, K, L, M and N. [Image] PI = The total sales of bikes of all the 5 companies. P2 = The total sales of cars of the all 5 companies. What is the value of (P2-P1)?
SSC GD • 2023
Yash can do a piece of work in 49 days and Naman can do the same work in 35 days.Saurav can do the same work in 7 days. Find the total days required to complete the same work if they work on alternate days such that Yash works on the first day, Naman works…
SSC Selection Post • 2024
A six-digit number is divisible by 33. If 21 is added to the number, then the new number which formed is also divisible by:
SSC CHSL • 2020
The average of 5 consecutive odd numbers is 75. By adding which number, will the average become 76?
SSC CGL • 2022
If a – b = 2 and a³ – b³ = 80, then what will be the value of ab?
SSC CHSL • 2025
A sum becomes ₹6840 in 3 years at 9% simple interest per annum. What is the original sum?
SSC GD • 2019
If the HCF of two numbers is 6 and their LCM is 120, one such pair of numbers is :
SSC CGL • 2024
Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.
SSC CGL • 2024
Consider a triangle PQR, right-angled at R, in which PQ = 29 unit, QR = 21 unit, and ∠PQR = θ. Find the value of cos²θ − sin²θ.
SSC GD • 2023
What is the LCM of 6 and 110?
SSC CHSL • 2024
PQ is a chord of a circle. The tangent XR at point X on the circle intersects the extension of PQ at point R. Given that XR = 12 cm, PQ = x cm, and QR = (x - 2) cm, find the value of x.
SSC CGL • 2025
27³ + 10³ - 29³ + 246 is equal to:
SSC CHSL • 2024
A man bought 4 books for ₹50 each, 5 books for ₹60 each and 6 books for ₹70 each. The average cost of a book for the man is (round up to two decimal places):
SSC GD • 2025
Chetan travels from City A to City B. If Chetan deives his car at 3 over 4 of his normal speed, then he reaches City B 33 minutes late. Find the time (in minutes) that Chetan would have taken to travel from City A to CIty B if he drove at normal speed.
SSC Selection Post • 2020
If 24√3x³+5√5y³ = (2√3x+√5y) x (Ax²-Bxy+Cx²), then what is the value of (A²-B²+C²)?
SSC Selection Post • 2023
Two triangles, ΔPRS and ΔDEF, are similar, whose perimeters are 36 cm and 40 cm, respectively. If the length of DE is 10 cm, then what is the length (in cm) of PR?
SSC CGL • 2022
A, B and C can complete a piece of work separately in 10, 20 and 40 days, respectively. In how many days will the work be completed if A is assisted by both B and C every third day?
SSC GD • 2023
Three cubes of sides (5 cm, 4 cm, and 3 cm) are melted to form a new cube. Find the length of the diagonal of the new cube.
SSC CHSL • 2025
A manufacturer reduces the diameter of their spherical bearing balls by 50% to cut costs. What is the percentage decrease in volume of each ball?
SSC CGL • 2021
The cost price of an article is Rs250. A shopkeeper gains 20% by selling it at a discount of 36% on its marked price. What is the marked price (in Rs) of the market?
SSC Selection Post • 2019
The average population of city B for all the given years is what percent less than the total population of city A for 2014, 2016 and 2018? [Image]
SSC CGL • 2020
The average of 60 student's results is 38. If the average of the first 22 students is 36, and that of the last 32 students is 32, then the average result of the remaining students is:
SSC MTS • 2019
If A : B = 2 : 3 and B - A = 28, then what is the value of B + A?
SSC Selection Post • 2022
If A shopkeeper gives two successive discounts of 50% and 20% on a mattress, whose marked price is ₹72,580, what would be its selling price (in ₹) and the discount (in ₹) respectively?
SSC CGL • 2023
A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:
SSC CHSL • 2019
The area of a field in the shape of a regular hexagon is 2400√3 m². What will be the cost of fencing it at Rs. 18.50 per meter?
SSC CHSL • 2020
Mohan finishes a journey by scooter in 5 hours. He travels the first half of the journey at 30 km/h and the second half of the journey at 20 km/h. The distance covered by him is:
SSC CHSL • 2019
If a + b + c = 4 and ab + bc + ca = 1, then the value of a³ + b³ + c³ – 3abc is:
SSC MTS • 2019
The profit earned on an article is 25%. If profit is calculated on the selling price, then what will be the profit percentage?
SSC CHSL • 2019
If a + b + c = 5, a² + b² + c² = 27 and a³ + b³ + c³ = 125, then the value of 4abc is:
SSC GD • 2025
Two trains having lengths of 240 m and 410 m are running at speeds of 80 km/h and 110 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is
SSC CGL • 2023
Find the value of (cos² 15^° - sin^2 15^°)/(cos^2 145^° + sin^2 145^°)
SSC GD • 2023
A person drives for 320 km in 8 hours, cycles for 40 km in 5 hours and then walks for 40 km in 7 hours. Find the average speed of the person.
SSC CHSL • 2021
The value of 3tan²60°+sec²30°-sin²45° over (cos15°+sin75°)(sec15°+cosec75°) is
SSC CGL • 2025
44³ + 35³ - 53³+ 159 is equal to:
SSC CGL • 2025
What is the minimum distance between centers of two circles having radii 5 cm and 3 cm such that exactly three common tangents exist?
SSC GD • 2025
The greatest number, which divides 1163 and 2214 to leave 15 and 82 respectively as remainders, is:
SSC CGL • 2022
If sin θ + cos θ = √5 sin(90 – θ), find the value of cot θ.
SSC Selection Post • 2024
The difference between the simple interest on a sum of money for 3½ years at the rate of 12% per annum and simple interest on the same sum of money for 4 ½ years at 10% per annum is ₹360. Find the sum(in ₹).
SSC GD • 2023
If 3,x,12 and 2x + 7 are in proportion, then 6x is:
SSC GD • 2024
C alone can complete a work in 50 days and D alone can complete the same work in half of the time taken by C. In how many days will both together complete 3/10 part of the total work ?
SSC Selection Post • 2022
A girl walks to the park, situated 450 m from her house, in 4 min and comes back in 6 min. What is the average speed of the girl (in km/h)?
SSC CGL • 2020
In ΔABC, D, E, and F are the midpoints of sides AB, BC, and CA, respectively. If AB = 12 cm, BC = 20 cm and CA = 15 cm, then the value of (1/2)(DE + EF + DF) is:
SSC CGL • 2020
When 200 is divided by a positive integer x , the remainder is 8. How many values of x are there?
SSC CGL • 2025
A boat travels 120 km downstream in 6 hours and 120 km upstream in 10 hours. What is the speed of the boat in still water?
SSC CHSL • 2025
A construction project was estimated to be completed in 180 days. Due to rain, only 60% of the days were productive. If the work done each productive day is constant, by what percent must daily output be increased to complete the project on time?
SSC CHSL • 2025
The difference between the selling price and the cost price of an article is ₹500. If the profit percentage is 25%, what is the selling price of the article?
SSC GD • 2024
Amar is 10 percent more efficient than Sachin. If Sachin alone can finish a work in 44 days, then in how many days will Amar alone finish the same work?