Quantitative Aptitude PYQ — Page 349
24,303 questions across SSC exams.
SSC CGL • 2025
Three numbers are such that when the average of any two of them is added to the third, the results obtained are 192, 180, and 168, respectively. What is the average of the original three numbers?
SSC GD • 2021
The volume of a right circular cylinder is 8448 cm³ and its curved surface area (in cm²) is 1/8 of the number representing its volume. What is the height (in cm) of the cylinder?
SSC CGL • 2018
Find the third proportional of 16 and 20?
SSC CHSL • 2022
The score in maths of 50 students of a class is given in the following table. Calculate the mean score. [Table]
SSC MTS • 2022
15 kg of grapes, in which 90% of the content was water, were kept in sunlight. In presence of sunlight, the water content reduced to such an extent that now only 85% of the total weight of the grapes was water. Find the total reduced weight of the grapes.
SSC CGL • 2025
A car travels 13.5 km using 1.8 liters of fuel. How many kilometers does it travel per liter?
SSC CHSL • 2019
A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at the points P. Q and R respectively. If BP = 8.5 cm, CQ = 6.5 and AR = 4.5 cm, then the perimeter (in cm) of the ΔABC is?
SSC CGL • 2021
A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:
SSC GD • 2019
Study the following line graph and answer the question based on it. [Image] What is the difference between the total productions of the two companies from 1997 to 2000 ?
SSC CHSL • 2023
If p + q +r = 0, then what is the simplified value of the expression ( (p²)/(p² - qr) + (q²)/(q² - pr) + (r²)/(r² - pq) )
SSC GD • 2019
A bag has Rs. 785 in the denomination of Rs. 2, Rs. 5 and Rs. 10 coins. The coins are in the ratio of 6 : 9 : 10. How many coins of Rs. 5 are in the bag?
SSC CHSL • 2019
By selling 72 articles, a loss equal to the selling price of 8 articles was incurred. What is the loss percentage?
SSC CGL • 2021
what is the coefficient of x² in the expansion of [Image] ?
SSC CHSL • 2025
ABC is a triangle with centroid 'O'. CF, AE and BD are medians of side AB, BC and CA. If ∠COE = 45°, and length of CF and AE are 18 cm and 24 cm, respectively, then find the area of the triangle ABC.
SSC CHSL • 2020
In a company with 600 employees, the average age of the male employees is 42 years and that of the female employees is 41 years. If the average age of all the employees in the company is 41 years 9 months, then the number of female employees is:
SSC CGL • 2025
The sum of the interior angles of a regular polygon is six times the sum of its exterior angles. Determine the number of diagonals in the polygon.
SSC CHSL • 2024
A, B, C are three points such that AB = 11 cm, BC = 13 cm and AC = 24 cm. Number of circles passing through the points A, B, C is:
SSC CHSL • 2025
If tan(x+10°)=cot(3x-20°), what is the value of x?
SSC Selection Post • 2024
A number, when divided by a divisor, leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor?
SSC CHSL • 2023
If sin B - cos A = 0, then what is the value of A + B?
SSC Selection Post • 2022
A certain sum is divided between A, B and C, such that the ratio of shares of A and C is 7 : 5 and that of C and B is 8 : 3. If the difference between the shares of A and B is ₹984, then the sum (in₹) is.
SSC CGL • 2023
A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, in how many hours can they do the same job?
SSC CGL • 2025
A and B start a business. A invests 3 times more than B. After 6 months, A withdraws one-third of his capital, and B doubles his capital. If the total profit after one year is ₹90,000, find the share of A.
SSC MTS • 2022
At a certain rate simple interest per annum, a certain sum amounts to ₹24,000 in 7 years and to ₹32,000 in 12 years. What is the rate of simple interest paid per annum?
SSC CHSL • 2022
The length of each side of a regular hexagon is 10 cm. What is the area of the hexagon?
SSC CHSL • 2022
A can do a piece of work in 24 days and B can do it in 80 days. B works alone for 2 days and A works alone on the 3rd day. This process continues till the work is completed. In how many days will the work be completed?
SSC CHSL • 2025
A can finish the work in 16 days, and B can do the same work in 12 days. B worked for 8 days and left the job. In how many days, A alone finish the remaining work?
SSC Selection Post • 2024
If ( x - 1/(x-1)) = 3 , then the value of (x - 1)² + 1/((x-1)²) is :
SSC CHSL • 2025
A spherical water tank with a radius of 4 meters is drained and refilled into 64 identical smaller spherical tanks. Assuming no water is lost in the transfer, what is the radius of each smaller tank?
SSC CGL • 2022
If k⁴+(1 over k⁴)=194 , then what is the value of k³+(1 over k³) ?
SSC CGL • 2025
A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4 m. If printing costs ₹250/m², what is the total cost?
SSC CGL • 2022
Find the value of the following expression: (576 ÷ 16) ÷ 3 = ? ÷ 2
SSC CGL • 2023
One quality of rice at 45 per kg is mixed with another quality at a certain rate in the ratio of 3 : 2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?
SSC CGL • 2020
The value of (5 cos² 60ᵒ + 4 sec² 30ᵒ -tan² 45ᵒ)/(tan² 60ᵒ - sin² 30ᵒ - cos² 45ᵒ) is:
SSC CHSL • 2023
Ashok invested Rs 18,000 for 3 years at 5% compound interest in a post office. If the interest is compounded once in a year, what sum will he get after 3 years?
SSC CGL • 2024
The marked price of an electronic watch in a store is ₹15,620 and it is available at a discount of 27%. What is the price (in ₹, to the nearest tens) that a customer pays if he buys from the store?
SSC CGL • 2020
A train X travelling at 60 km/h overtakes another train Y, 225 m long, and completely passes it in 72 seconds. If the trains had been going in opposite directions, they would have passed each other in 18 seconds. The length (in m) of X and the speed (in…
SSC CHSL • 2023
Rs. 6000 is lent at the rate of 20% per annum on compound interest (compounded half yearly). What will be the compound interest of 18 months?
SSC CHSL • 2024
The simple interest on a sum for 8 years is 4/5 of the sum. The rate of interest per annum is:
SSC CGL • 2020
(a + b - c + d)² - (a - b + c - d)² = ?
SSC CGL • 2016
If x = [Image] and y = [Image] , then the value of [Image] is
SSC MTS • 2022
In a class of 60 students, the ratio of girls to boys is 2 : 3. If 20 more girls join the class, then what is the new number of girls in the class?
SSC CHSL • 2025
A container holds a mixture of liquid A and liquid B in the ratio 7 : 5. After 9 litres of this mixture are removed and the container is refilled with pure liquid B, the proportion of A to B changes to 7 : 9. Determine the initial quantity of liquid A…
SSC CGL • 2023
12 men can complete a work in 10 days. How many more men are required to complete the work in 6 days?
SSC CGL • 2019
4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men ?
SSC CHSL • 2021
Two successive discounts, each of x% on the marked price of an article, are equal to a single discount of Rs. 331.20. If the marked price of the article is Rs. 920, then the value of x is:
SSC CGL • 2023
The number of sport bicycles sold by a shopkeeper in five years is shown in the following bar graph. [Image] What is the percentage of decrease in the sale of sport bicycles in the year 2021 over that in the previous year?
SSC CGL • 2024
The value of 1/(cosecθ - cotθ) - 1/(sinθ) is equal to :
SSC CHSL • 2021
Sulekha bought 36 kg of sugar for Rs. 1,040. She sold it at a profit equal to the selling price of 10 kg of it. What is the selling price (in Rs.) for 5 kg of sugar?
SSC CGL • 2022
The value of 95 × 105 is: