Quantitative Aptitude PYQ — Page 229
24,303 questions across SSC exams.
SSC GD • 2024
P sells a laptop to Q at a profit of 50 percent and Q sells it to R at a profit of 60 percent. What is the ratio of cost prices of P and R?
SSC CGL • 2024
A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started running at the same time. The speed of both policeman and the thief was 12 km per hour and 10 km per hour, respectively. It took 30…
SSC CGL • 2023
Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. In what time will the Rajdhani Express cross the other train?
SSC GD • 2026
After two successive discounts of 20 percent and 30 percent an article is sold for Rs. 4480. What is the marked price of the article?
SSC CGL • 2024
Hema is 20 years old and her sister Neha is 30 years old. How many years ago were their ages in the ratio of 3 : 5?
SSC CHSL • 2025
Out of 200 students, 20% failed the exam. Out of the remaining 20% passed the exam with distinction. Find the ratio of the students who passed the exam with distinction to the students who passed the exam without distinction.
SSC CHSL • 2025
A person sells two products for ₹500 each. He makes a 20% profit on one and incurs a 20% loss on the other. What is his net gain or loss on the whole transaction?
SSC CHSL • 2022
A man travelled by car from city A to city B at a speed of 24 km/h and returned from city B to city A at 16 km/h. Find his average speed over the whole journey.
SSC CHSL • 2024
Two circles touch each other externally at M. PQ is a direct common tangent to the two circles, P and Q are points of contact and ∠MPQ = 38°. ∠MQP is:
SSC Selection Post • 2019
Kishore purchased an apple for ₹25. What would be the selling price to get 25% profit?
SSC CGL • 2023
Find the value of 2/3 tan² 60° + 3 cos² 30° - 2 sec² 30°- 3/4 cot² 60°.
SSC CGL • 2024
A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 60. What is the average score of the class?
SSC CGL • 2021
If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y-8x)?
SSC CGL • 2021
A shopkeeper bought a machine for Rs. 4600 and spent Rs. 500 on its repair and transport. He marked the machine at 8% above the overall cost price. If he sold the machine for Rs. 4681 after giving x% discount, then the value of x is:
SSC GD • 2024
What is the value of 4400 − (3200 ÷ 16) + 32 × 4?
SSC CHSL • 2025
A box in the shape of a right prism has a triangular base with sides 13 cm, 14 cm, and 15 cm. The height of the box is 20 cm. If a packaging company charges ₹0.75 per cm³ to fill the box with granules, find the total cost.
SSC MTS • 2022
The length of a rectangle is 4 times of its breadth. If the area of the rectangle is 576 cm², then what is the perimeter of this rectangle?
SSC GD • 2026
The marked price of an article is (8/3) of the cost price. Its selling price is (5/8) of the marked price. What is the profit percentage?
SSC CGL • 2025
The expenditure of Sudha is 150% more than her savings. If her expenditure decreases by 12% and savings increase by 37%, then by what percentage does her income increase?
SSC GD • 2021
One side of a right angled - triangle is thrice the other and the hypotenuse is 8 cm. Find the area of the triangle.
SSC Selection Post • 2024
In a 300 m race, A beats B by 22.5 m or 6 seconds. Which of the following options is equal to B’s time over the course?
SSC Selection Post • 2024
In ΔOPQ, ∠O = 50°, ∠P = 70°, and the bisectors of ∠P and ∠Q meet at R. Find ∠PRQ.
SSC Selection Post • 2022
In what ratio must sugar at the rate of Rs.41/kg be mixed with sugar at the rate of Rs.55/kg so that the mixture is worth Rs.49/kg?
SSC CHSL • 2020
If (1+sinθ – cosθ)/(1+sinθ+cosθ) + (1+sinθ+cosθ)/(1+sinθ-cosθ) = 4, then which of the following values will be suitable for θ ?
SSC GD • 2019
The curved surface area of a right circular cylinder of height 28 cm is 176 cm². The volume (in cm³) of cylinder is (Take π = 22/7)
SSC GD • 2025
A can finish a work in 16 days, and B can do the same work in 12 days. The question text seems to be cut off, but the provided options suggest it is asking for the time taken to complete the work together or in a similar work-related scenario.
SSC CHSL • 2023
The marked price of a cooler is Rs 800 It is sold at a discount of 10%. Due to the festival season, the shopkeeper allowed a further discount of 5%. Find the selling price of the cooler.
SSC CHSL • 2022
The price of an article is raised by 45% and then two successive discounts of 15% each are allowed. Ultimately the price of the article is _____.
SSC GD • 2025
Find the ratio between the third proportional of 12 and 42 with the third proportional of 16 and 56.
SSC MTS • 2019
Mohit is five times efficient as Rohit. If Mohit can complete a piece of work in 28 days less than Rohit, then in how many days can Rohit alone complete the same work?
SSC Selection Post • 2023
Two-thirds of a certain distance was covered at the speed of 15 km/h, one-fifth at the speed of 25 km/h, and the rest at the speed of 50 km/h. Find the average speed (in km/h) for the whole journey (rounded off to two decimal places).
SSC CGL • 2019
In triangle ABC, AB = 7 cm, BC = 10 cm and AC = 8 cm. If AD is the angle bisector of ∠BAC, where D is a point on BC, then BD is equal to:
SSC CGL • 2020
The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between the greatest number and the smallest number is:
SSC GD • 2025
Compare the ratios 12 : 13, 7 : 8, 9 : 10, and 5 : 6. Which one is greater than 0.9 but smaller than 0.95?
SSC Selection Post • 2022
A six-digit number of the form ababab is always divisible by:
SSC GD • 2024
The marked price of a cycle is Rs. 2700. If 10 precent discount is given, then what will be the selling price of the cycle?
SSC CGL • 2022
The sides of a triangle are in the ratio 4 : 6 : 8. The triangle is a/an:
SSC CGL • 2025
Two oils priced at ₹80/kg and ₹140/kg are blended and sold at ₹132/kg, with a profit of 10%. Find the ratio of the two oils in the mixture.
SSC CGL • 2016
An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was?
SSC Selection Post • 2022
A man borrowed Rs.46,000 at 5% per annum compound interest, compounded annually. How much money (in Rs.) will he pay as interest at the end of 2 years to clear his debt?
SSC CGL • 2022
The given histogram represents the marks of students in the Mathematics test of a certain class. The total number of students is 350. Study the graph and answer the question that follows [Image] What is the ratio of the total number of students who scored…
SSC CHSL • 2022
Simplify (957 + 932)² - 4 × 957 × 932.
SSC CHSL • 2019
If a 8-digit number 30x558y2 is divisible by 88, then the value of (6x + 6y) is:
SSC CHSL • 2023
O is the center of a circle with a diameter of 16 cm. Q is a point outside the circle and QS is tangent to the circle at point S. If OQ is = 17 cm, what is the length (in cm) of the tangent QS?
SSC GD • 2023
A river is running at 2 kmph. A boat goes 40 km upstream from A to B and also returns back from B to A in total 10 hours. The speed of the boat in still water is:
SSC CHSL • 2024
Radhika requested the cashier of a bank to get her coins instead of her cheque worth Rs. 1,845. The cashier gave her a packet containing Rs. 5, Rs. 10, and Rs. 20 coins in the ratio of 3 : 5 : 7. What is the total worth of the smallest coin received by her?
SSC CHSL • 2023
If cos5α = sinα and 5α < 90°, then the value of tan2α is:
SSC CGL • 2019
In ΔABC, P is a point on BC such the BP : PC = 4 : 3 and Q is the midpoint of BP. Then ar(ΔABQ) : Ar(ΔABC) is equal to?
SSC GD • 2023
In a 500 m race, P runs at 2 kmph. P gives Q a head start of 20 m and still beats him by 60 seconds. Find the speed of Q.
SSC MTS • 2022
What is the value of 75/28× 7/12 + [\ 5/12 + \ 5/7 + (8/12 of \ 36/24-1/2) \] ?