Quantitative Aptitude PYQ — Page 308
24,303 questions across SSC exams.
SSC Selection Post • 2022
A boat covers 18 km downstream in 3 hours and the same distance upstream in 6 hours. The speed of the boat in still water is __.
SSC Selection Post • 2022
The average of twenty positive numbers is x. If each number increases by 20%, then x will :
SSC Selection Post • 2024
The speed of a boat in still water is 6 km/h, and the speed of the stream is 1.5 km/h. In going from point A to point B and returning to A, the boatman takes 2 hours and 40 minutes. Find the distance between points A and B.
SSC CGL • 2024
The relation between K₁ and K₂ for which the system of linear equations K₁x + 3y = 8 and 4x + K₂y = 16 represents coincident lines, is:
SSC CGL • 2019
If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x - 7y) for the largest possible value of x, is:
SSC Selection Post • 2022
The amount of a certain sum at simple interest at 8% per annum in 7 1/2 years is ₹3,000 less than twice the sum. The sum (in ₹) is:
SSC CHSL • 2020
If √(3) Cosθ = Sinθ, then the value of (4 Sin²θ - 5 Cosθ)/(3 Cosθ + 1) is:
SSC CGL • 2021
Alloy A contains metals x and y in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in a ratio 4 : 5. The percentage of y in alloy C is:
SSC Selection Post • 2024
Eight labourers working 10 hours a day completed a work in 18 days. If only 5 labourers are working, then in how many hours a day should they work to finish the work in 24 days?
SSC CGL • 2023
A man takes 15 minutes to row 16 km downstream, which is 25% less than the time he takes to row the same distance upstream. How many kilometres can the man row in an hour in still water? (Rounded off to nearest whole number)
SSC CGL • 2024
The mean proportional of 8a² and 18over a⁴ , where a is a positive number, is ____.
SSC CHSL • 2021
If the difference between the compound interest compounded annually and the simple interest on a certain sum of money for three years at 10% per annum is Rs. 279, then the sum (in Rs.) is:
SSC Selection Post • 2020
What is the area (in cm²) of a circle circumscribing a triangle whose sides are 28 cm, 45 cm and 53 cm?
SSC CGL • 2022
The average of eight consecutive odd numbers is 48. Find the sum of the fifth and seventh numbers.
SSC CHSL • 2024
A father is presently 3 times his daughter’s age. After 10 years he will be twice as old as her. Find the daughter’s present age.
SSC Selection Post • 2023
Jay spends 50% of his monthly income on groceries and bills, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines, and the remaining amount of ₹12,500 he saves. What is Jay's monthly income?
SSC CHSL • 2021
Study the graph and answer the question that follows. The given chart represents the demand and production of leather bags of five companies U, V, X, Y and Z. [Image] If the production of leather bags by company Y is equal to 'm' times of the production of…
SSC CHSL • 2024
A seller decreased the selling price of each item from ₹5,000 to ₹4,680, by which his loss percentage increased by 4%. If he has to get 4% profit, then the selling price of the item should be:
SSC CGL • 2025
A town has males and females in a ratio of 3:2. After 5 years, the male population increases by 10%, and the female population by 25%. What is the new ratio?
SSC CHSL • 2020
The radius of a circular cone is 6 cm and its height is 7 cm. Then the volume of the cone in cm³ is: (Taken π = 22/7)
SSC CHSL • 2021
If cosec²θ (cosθ - 1) (1 + cosθ) = k, then what is the value of k?
SSC CHSL • 2022
Simplify the expression: (36p² + 49q²) (6p + 7q) (6p - 7q)
SSC CHSL • 2023
If a + 1/a = 5, then determine the value of a³+ 1/(a³)
SSC GD • 2019
The areas of two squares are 16:9. The ratio of their perimeter is :
SSC GD • 2019
The compound interest on a sum for 4^(th)year is Rs. 6000 and compound interest for 5^(th)year is Rs. 6750(interest is compounded annually). What is the rate of interest?
SSC CHSL • 2020
If PA and PB are tangents drawn from an external point P to a circle with centre O such that ∠APB = 70°, then find the value of ∠OAB.
SSC CGL • 2021
Fourteen persons can do a work in 18 days, After 5 days of work, 6 workers left the work, and joined back on the last day of the work. In how many days the work got completed?
SSC Selection Post • 2020
A person travels equal distances with speeds of 4 km/h, 6 km/h, and 8 km/h. He takes a total time of 32.5 minutes. Find the total distance travelled by him.
SSC CGL • 2021
The volume of a wall whose height is 10 times its width and whose length is 8 times its height is 51.2 m³. What is the cost (in Rs.) of painting the wall on one side at the rate of Rs. 100/m²?
SSC CHSL • 2019
In which month the actual production of AC Machines was 25% more than the target production?
SSC CGL • 2022
A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
SSC CHSL • 2024
A dishonest dealer professes to sell his goods at the cost price, but he uses a false weight of 850 grams per 1 kg weight. Find the percentage of his gain. (Correct up to two decimal places)
SSC CGL • 2025
A train covers 3 equal distances at speeds in the ratio 4:5:6. What is the ratio of the average speed over the entire journey to the lowest speed?
SSC CGL • 2022
If cos A = 9/(41), find cotA.
SSC CGL • 2022
What is the average of all the prime numbers between 70 and 90?
SSC Selection Post • 2024
The lateral surface area of a cylinder is 3862.2 cm² and its height is 15 cm. Find its volume correct to one decimal place. (take π = 3.14)
SSC CGL • 2022
The total surface atrea of a right pyramid, with base as a square of side 8cm, is 208ccm². What is the slant height (in cm) of the pyramid?
SSC CHSL • 2025
A total of Rs. 650 is to be divided into three portions in the ratio of 1/4 : 1/6 : 1/8 The first portion is:
SSC Selection Post • 2020
In a press, there are three types of printing machines, P, Q and R. Machine P can print 10,000 pages in 8 hours, machine Q can finish the same task in 10 hours and machine R. can finish the same task in 15 hours. All the three machines start the work at 9:00…
SSC CHSL • 2024
PQR is a triangle. MN is a line segment intersecting PQ in M and PR in N such that MN ∥ QR and divides ΔPQR into two parts, which are equal in area. What is the ratio of MQ to PQ?
SSC Selection Post • 2024
How many times is the failure rate of hybrid micro circuits compared to that of signal devices?
SSC CHSL • 2019
If [Image] then the value of x is:
SSC CGL • 2025
A tank contains 2,000 milliliters of water. If its full capacity is 0.008 kiloliters, what percentage of the tank is empty?
SSC CHSL • 2023
A hemispherical bowl is made of 1 cm thick steel. The inside radius of the bowl is 4 cm. The volume of the steel (in cm³) used in making the bowl is:
SSC CHSL • 2021
The value of 6 × 3 ÷ 8 of 6 - 6 ÷ 4 × (5 - 7) + 5 - 3 × 4 ÷ 6 of 3 is:
SSC Selection Post • 2019
What is the value of θ, 0° θ θ + sinθ = √(2) ?
SSC Selection Post • 2024
Simplify the following expression: (x+y) (x-y) (x²+y²) (x⁴+y⁴) (x⁸+y⁸) (x¹⁶+y¹⁶)
SSC Selection Post • 2022
The average time taken by 6 athletes in a race is 1 minute 50 seconds. The winner completed the race in 1 minute 20 seconds. What is the average time taken by the other 5 athletes?
SSC CHSL • 2025
4 boys and 6 girls can complete the work in 8 days, while 3 boys and 7 girls can complete it in 10 days. In how many days will 10 girls complete it?
SSC CGL • 2022
A tyre has two punctures. The first punctures alone would have made the tyre flat in 45 minutes, and the second puncture alone would have done it in 90 minutes. If air leaks out at a constant rate, then how long (in minutes) does it take for both the…