Quantitative Aptitude PYQ — Page 224
24,303 questions across SSC exams.
SSC Selection Post • 2022
Anu spends 80% of his income. If his income increases by 12% and the savings decrease by 10% then what is the percent increase in the expenditures?
SSC CGL • 2022
If a + b + c = 6, a²+ b²+ c²= 14 and ab + bc + ca = 11, then what is the value of a³ + b³ + c³ - 3abc?
SSC CHSL • 2020
Observe the following bar-graph carefully and answer the following questions: [Image] The birth rate of Country C is approximately what percentage of the birth rate of Country E?
SSC CHSL • 2022
If the surface area of a sphere is 64π cm² then, the volume of the sphere is:
SSC CHSL • 2025
A thief escapes from a bank at 10:00 AM at a speed of 20 km/h. A police car starts chasing him at 10:30 AM at a speed of 30 km/h. At what time will the police car catch the thief?
SSC CHSL • 2021
A sum of Rs 2,432 amounts to Rs 2,681.28 in 2 years at a certain rate per cent per annum, interest compounded yearly. What will be the simple interest (in Rs.) on the same sum for 4 3/8 years at double the same rate?
SSC CHSL • 2024
A company sells goods at a markup of 25% above the cost price. During a sale, the company offers a 10% discount on the marked price. If the customer pays Rs. 540 after the discount, then what was the original cost price of the goods?
SSC CGL • 2025
A circular disc of radius 9 cm is inscribed inside an equilateral triangle. What is the approximate area of the remaining portion of the triangle?
SSC Selection Post • 2024
The annual instalment (in ₹) to discharge a debt of ₹8,432 due in 4 years at 16% simple interest per annum is:
SSC CGL • 2023
If in acute angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?
SSC GD • 2025
One-third of a work is finished in four days by P and one-fourth of the same work is finished in six days by Q. P and Q together work for six days and the rest of the work is finished by R in two days. R alone can finish the whole work in _ days.
SSC CHSL • 2022
Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to complete one round. After how much time did they meet at the starting point for the first time since the race…
SSC CGL • 2020
A trader marks his goods at 60% above the cost price and allows a discount of 25%. What is his gain percent?
SSC CGL • 2020
If x - y = 4 and xy = 45, then the value of x³ - y³ is?
SSC CGL • 2025
If 1 + cot²θ = cosec²θ, then what is the value of cosec²60° - cot²60°?
SSC GD • 2024
Aman walks at 5 km/hr and reaches his school 28 minutes late. If he walks at 8 km/hr, then he reaches 35 minutes before the scheduled time. What is the distance from his school to his house?
SSC CGL • 2020
A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B. then by what percentage is the income of A less than the income of B?
SSC Selection Post • 2020
In ΔABC, ∠B = 90°, AC = 29 cm, and BC = 20 cm. Then (1 - sin A + cos A)over(1 + sin A + cos A) is equal to:
SSC GD • 2019
A bag has Rs. 840 in the denomination of Rs. 1, Rs. 2 and Rs. 5 coins. Rs. 1, Rs. 2 and Rs. 5 coins are in the ratio of 8 : 1 : 5. How many coins of Rs. 5 are in the bag?
SSC GD • 2023
Akhil, Sahil and Amit can do a certain work in 64 days. While Akhil and Sahil can do the same work in 80 days, then in how many days can Amit do the same work?
SSC CHSL • 2023
Find the value of the given expression. ( 21/2÷ 17/8 )÷ ( 93/8÷ 112/3of1/8 )
SSC CGL • 2020
If the five-digit number 235xy is divisible by 3, 7 and 11, then what is the value of (3x - 4y)?
SSC MTS • 2022
Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.
SSC GD • 2025
Zakie travels from city A to city B. If Zakir drives his car at 3over8 of his usual speed, he takes 45 minutes more than his usual time. What is his usual time in minutes?
SSC CHSL • 2024
Two circles with centres M and N have radii of 5 cm and 8 cm, respectively. The circles touch each other externally at point T. A line PR is drawn such that the points M, T and N lie on PR, P being closer to M. From P, a tangent PQ = 12 cm is drawn to the…
SSC GD • 2023
The population of a village increased from 90,000 to 98,000 in 1 year. Find the rate of growth of the population. (Rounded off to one decimal place)
SSC CGL • 2025
A regular polygon has each interior angle measuring 150°. Find the number of its sides
SSC GD • 2024
The average age of a group of 11 men is 53 years. 2 men leave the group and the average age of the group increases by 1 year. What is the average age of 2 men who left the group?
SSC CHSL • 2023
Anam and Bikash invest in a business in the ratio 3 : 2. If in a particular month, Anam gets 3,840 as profit, the total profit is:
SSC CGL • 2022
If 2sin²θ + 3cosθ = 3, 0° < θ < 90°, then the value of (sec²θ + cot²θ) is:
SSC GD • 2019
U, V, and W invest sum in the ratio of 15 : 20 : 27 respectively. If they earned a total profit of Rs. 10230 at the end of the year, then what is the share of V?
SSC CHSL • 2025
A, B, and C invest ₹20,000, ₹30,000, and ₹50,000, respectively, in a business. The profit at the end of the year is ₹50,000. What is A’s share of the profit?
SSC GD • 2019
The volume of a right circular cone is equal to the volume of that right circular cylinder whose height is 48 cm and diameter of its base is 20 cm.If the height of the cone is 16 cm, then what will be the diameter of its base?
SSC Selection Post • 2024
The sum of the two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
SSC CGL • 2022
What is the smallest perfect square which is completely divisible by each of 16, 18 and 36?
SSC GD • 2023
Find the value of a cone whose radius is 7 inches and height is 27 inches. (Use π = 22 over 7 )
SSC GD • 2024
A is thrice as fast as B and B is twice as fast as C. If the journey is covered by C in 66 minutes, then find the time taken by A.
SSC CGL • 2024
The angles of a triangle are in the ratio 1 : 2 : 3. The difference in the largest and smallest angle is (in degrees):
SSC GD • 2023
Three cubes each of volume 4096 cm³ are joined end to end to form a new solid. What is the surface area of the new solid?
SSC CHSL • 2025
The largest four-digit number which when divided by 4, 7, or 13 leaves a remainder of 3 in each case is:
SSC Selection Post • 2024
Dixit covers a certain distance by car, driving at the speed of 28 km/h, and he returns to the starting point riding on a scooter at the speed of 36 km/h. Find the average speed (in km/h) for the whole journey.
SSC CHSL • 2025
A man bought a watch for ₹1500 and sold it at a loss of 8%. What is the selling price?
SSC GD • 2023
If 12 men or 9 women can do a piece of work in 36 days, then how many days will 16 men and 18 women take to finish the same work?
SSC CGL • 2020
Anil bought two articles A and B at a total cost of Rs 10,000. He sold the article A at 15% profit and the article B at 10% loss. In the whole deal, he made no profit or no loss. Find the selling price of the article A.
SSC GD • 2025
The ratio of the walking speeds of A and B is 3 : 5. If B takes 18 minutes to cover a certain distance, how much time will A take to cover the same distance?
SSC CGL • 2025
A rectangle has a length that is four times its width. If the perimeter is 100 cm, what is the area of the rectangle?
SSC CGL • 2022
In the election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning candidate got 48% of the total votes and won the election by 1100 votes. Find the total number of voters in the election, given that all…
SSC CGL • 2022
AB is a chord of a circle with centre O. C is a point on the circle in the minor sector. If ∠ABO = 50°, then what is the deree measure of ∠ACB?
SSC GD • 2025
The selling price of a fan is ₹7,392. If profit percentage is 32%, then what is the cost price (in ₹) of the fan?
SSC CGL • 2021
A certain sum amounts to Rs. 81840 in 3 years and to Rs. 92400 in 5 years at x% p.a. under simple interest. If the rate of interest is becomes (x+2)%, then in how many years will the same sum double itself?