Quantitative Aptitude PYQ — Page 426
24,303 questions across SSC exams.
SSC CGL • 2023
In a race around a circular cycling track of 75 km, two cyclists are riding at a speed of 30 km/h and 25 km/h. After what time (in hours) will they meet at the point from which they started their journey?
SSC CHSL • 2025
If x + y = 12 and x − y = 4, find: (x³ + y³) / (x + y)
SSC Selection Post • 2019
The table given below present the sunrise (SR) and sunset (SS) timings in a city during six consecutive days of a week. It is given that the total daylight time (in hrs) = T, and (12-T) expressed in hours is P. [Table] If all P's are represented through a…
SSC Selection Post • 2022
Ramesh covered a total distance of 275 km on bike. For the first three hours, his speed was 65 km/h and for the rest of the journey his speed came down to 40 km/h. Find the average speed of the bike.
SSC CHSL • 2023
Ravi initially had a certain number of chocolates, while Bhanu initially had 80% of the number of chocolates that Ravi initially had. Ravi gave 10% of his chocolates to his sister, while Bhanu received from his uncle another 35% of the number of chocolates…
SSC CGL • 2021
In a circle with centre O and radius 13 cm, a chord AB is drawn. Tangents at A and B intersect at P such that ∠ APB = 60º. If the distance of AB from the centre O is 5 cm, then what is the length (in cm) of AP?
SSC GD • 2021
In a transaction the profit percentage is 70% of the cost. If the cost further increases by 40%, but the selling price remains the same, what is the difference between the two profit percentages?
SSC Selection Post • 2020
₹6045 is divided among A, B, and C in such a way that if ₹10 is taken away from A's share, ₹15 is taken away from B's share, and ₹20 is taken away from C's share, then their ratio will be 5 : 4 : 3. B's original share (in ₹) is known.
SSC CHSL • 2024
If the surface areas of two spheres are in the ratio of 49 : 81, then find the ratio of their volumes.
SSC CGL • 2025
If 40% of P = 0.4 of Q = (1/5) of R, find P : Q : R.
SSC CGL • 2023
₹8,500 becomes ₹11,050 in 6 years at a certain rate of simple interest. If the rate becomes 1.8 times of itself, the amount of the same principal in 5 years will be:
SSC CGL • 2022
Damani purchased an item costing ₹7,500 and paid ₹3,500 as a down payment for thesame. If the simple interest charged for the remaining amount is 9% per annum and Damani cleared all dues after 4 months of the purchase, how much did Damani pay after 4 months…
SSC CGL • 2020
If the selling price of an article is 8% more than the cost price and the discount offered is 10% on the marked price of the article, then what is the ratio of the cost price to the marked price?
SSC CHSL • 2024
What are the marks (in percentage) obtained by Mohan?
SSC CGL • 2024
Three pipes P, Q and R, together take four hours to fill a tank. All the three pipes were opened at the same time. After three hours, P was closed, and Q and R filled the remaining tank in two hours. How many hours will P alone take to fill the tank?
SSC CGL • 2022
A 22.5 m high tent is in the shape of a frustum of a cone surmounted by a hemisphere. If the diameters of the upper and lower circular ends of the frustum are 21m and 39m, respectively, then find the area of the cloth (in m²) used to make the tent(ignoring…
SSC CPO • 2025
A cylindrical rod is 1.6 meters long. It is cut into pieces 3/5 meters in length. How many whole pieces can be made, and what length remains?
SSC GD • 2019
If C alone can complete two-third part of a work in 12 days, then in how many days C can complete the whole work?
SSC Selection Post • 2022
The ratio of the incomes of A and B is 3 : 4. The ratio of their expenditure is 7 : 10. If A and B save Rs.2,500 and Rs.3,000, respectively, then what is the ratio of the income of B to the expenditure of A and B?
SSC CGL • 2025
Arrange the fractions 4/7, 2/5, 5/8, and 4/9 in ascending order.
SSC CHSL • 2025
In triangle ABC, D and E are points on sides AB and AC such that DE||BC. If AD=4 cm, DB=12 cm, AE=3 cm, and EC=9 cm, what is the ratio of the area of triangle ADE to the area of triangle ABC?
SSC CGL • 2023
By selling a watch for ₹2,000, a shopkeeper loses 20%. How much would he gain or lose by selling it for ₹3,000?
SSC CGL • 2022
Calculate the area of a sector of a circle with radius 10 metres and angle of 90 defrees at the centre.
SSC CHSL • 2023
Which of the following expressions is equal to the expression (x²-3x+2)/(x²-4) ?
SSC CGL • 2022
A takes 3 hours more than B to walk "d" km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A required to walk "d" km?
SSC CGL • 2024
If 45 ÷ 3 + 4 × A – 48 ÷ 24 + 4 = 1, then the value of A is:
SSC CGL • 2023
A, B and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B, and the efficiency of C is equal to that of A. In how many days will the work be finished if they work alternately in the order C, A…
SSC CHSL • 2025
In triangle ABC, line DE||BC intersects sides AB at D and AC at E. If AD=5 cm, DB=7 cm, and AE=10 cm, find the value of EC.
SSC CGL • 2024
Two equal circles pass through each other’s centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord?
SSC CGL • 2020
The following table gives the details of Five commodities A, B, C, D and E with quantity required and their costs for a family in a month. Study the table and answer the questions that follow. [Table] The amount spent extra on commodities B and C in the year…
SSC CHSL • 2021
In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percentage is the number of illiterate females more than that of the illiterate…
SSC CHSL • 2025
P and Q working alone can complete a work in 5 days and 15 days respectively. They work on alternate days one at a time. P works on the first day. In how many days the whole work will be completed?
SSC Selection Post • 2023
The speed of a boat when travelling downstream is 48 km/h, whereas when travelling upstream it is 32 km/h. What is the speed of the boat in still water?
SSC CHSL • 2020
Tap A can fill a tank 6 hours and tap B can empty the same tank in 10 hours. If both taps are opened together, then how much time (in hours) will be taken to fill the tank?
SSC GD • 2019
The average of numbers N1 and N2 is 17. The average of numbers N2 and N3 is 44. What is the difference between N3 and N1?
SSC CHSL • 2025
P and Q working alone can complete a work in 12 days and 24 days respectively. They work on alternate days one at a time. P works on the first day. In how many days the whole work will be completed?
SSC CGL • 2020
Two tangents PA and PB are drawn to a circle with centre O from an external point P. If ∠OAB = 30ᵒ, then ∠APB is :
SSC CHSL • 2021
The average of the squares of four consecutive odd natural numbers is 201. The average of 7 times of the largest number and 3 times of the smallest number is:
SSC GD • 2019
Three persons A, B and C started a business with their shares in the ratio 3 : 4: 5. After 4 months B with drew his 50% share and C with drew his 20% share 4 months prior to completion of the year. If total profit in the year is Rs. 31,000 then find the…
SSC MTS • 2019
If X : Y = 13 : 12 and X - Y = 2, then what is value of 2X + 3Y?
SSC Selection Post • 2020
A salesman sold an article at three-fifth of the marked price. By doing so, he gained 20%. The ratio of the marked price and the cost price of the article is:
SSC CGL • 2024
If the number 72864*@ is divisible by both 8 and 5, then what digits will come in place of * and @ respectively?
SSC CHSL • 2023
If a + b + c = 0, then what is the value of a³ + b³ + c³ - 3abc?
SSC CHSL • 2024
The measure of each side of an equilateral triangle is 16 cm. What is the ratio of its perimeter to the sum of its medians?
SSC MTS • 2019
Three successive discounts of 20%, 20% and 30% are offered on an article. If the marked price of the article is Rs. 750, what will be the selling price?
SSC CHSL • 2025
A and B together finish a job in 9 days. If A alone takes 18 days, how many days will B alone take?
SSC CGL • 2024
Find the length of the longest diagonal (in cm) of a cuboidal box of dimensions 1.2 cm × 1.3 cm × 1.5 cm (correct to two decimal places).
SSC CHSL • 2025
Marked price of an article is 150 percent of the value of discount. Marked price is what percent of the selling price?
SSC Selection Post • 2022
A person can row downstream 49 km in 7 hours and upstream 36 km in 9 hours. What is the speed of the current?
SSC CHSL • 2024
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies. [Image] Lowest production is what percentage of the highest demand?