Quantitative Aptitude PYQ — Page 194
24,303 questions across SSC exams.
SSC GD • 2019
The radii of two circles are 15 cm and 8 cm.If the area of a third circle is equal to the sum of the areas of the two circles, then what will be the radius of the third circle?
SSC CGL • 2023
A constable Ram is 225 m behind a thief Somesh. Ram runs 50 m and Somesh runs 30 m in a minute. At what time will the constable Ram catch the thief Somesh?
SSC GD • 2021
A rectangular park is 110 m long and 70 m wide. Two cross paths, each 6 m wide, are constructed parallel to the sides. If the cost of construction of these paths is ₹ 175 m², then what is the total cost (in ₹) of construction of these paths?
SSC CGL • 2020
24 students collected money for donation. The average contribution was Rs.50. Later on, their teacher also contributed some money. Now the a average contribution is Rs.56. The teacher's contribution is:
SSC MTS • 2022
The average age of two friends, A and B, is 24 years. The average age of A, B, and C is 22 years. What is the age of C?
SSC GD • 2019
A person sells a watch at a profit of 26%. If he had bought it at 20% less and sold for Rs. 81.60 less, he would have gained 32%. What is the original costprice (in Rs) of the watch?
SSC Selection Post • 2022
A man takes 5 minutes to cover a certain distance at a speed of 6 km/h. If he walks at a speed of 10 km/h, how much time (in minutes) will he take to cover double the distance?
SSC MTS • 2022
The radius of the base and the height of a closed cylinder are 14 cm and 14 cm, respectively. The total surface area of the cylinder is equal to the area of a circle. What will be the diameter of the circle? [Use pi = 22/7 ]
SSC GD • 2019
Product of Highest Common Factor and Least Common Multiple of two numbers is 216. If one of the numberis 12, then what will be the ratio of these two numbers?
SSC CGL • 2022
In tringle PQR, right angled at Q, if cot P=sqrt3 ,then the value of sin P is:
SSC Selection Post • 2024
If 45% of 50% of a number is 27, then what is the number?
SSC CGL • 2021
The data given in the table shows the number of students studying in four different disciplines in 5 institutes. Study the table and answer the question. [Table] Number of students studying Computer Science in the institutes A and C taken together in what…
SSC CGL • 2025
A cone and a hemisphere have the same volume and base radius. Find the ratio of the height of the cone to its base radius.
SSC GD • 2025
The marked price of an article is 30% above the cost price, and the article is sold at 10% less than the marked price. The profit percentage is:
SSC CGL • 2020
In the given figure, ΔABC is an isosceles triangle, in which AB = AC, AD ⊥ BC, BC = 6 cm and AD = 4 cm. The length of AB is: [Image]
SSC GD • 2023
A man covers a certain distance by scooter at 64 km/h and he returns to the starting place riding a bicycle at 16 km/h. Find the average speed for the whole journey.
SSC CGL • 2022
The value of 3/70+1/42+1/66+3/286+1/130+1/170 is:
SSC CHSL • 2022
If a = 2022, b = 2021 and c = 2020, then value of a²+ b² + c² – ab – bc – ca is:
SSC GD • 2025
The greatest number, which divides 2248 and 1761 to leave 3 and 1 respectively as remainders, is:
SSC GD • 2024
The product of two numbers is 1408, and their LCM is 352. Find the HCF.
SSC CHSL • 2025
A vendor sells an item at 10% loss. If he increases the selling price by Rs. 45, he would have made a 5% gain. Find the cost price.
SSC CGL • 2018
A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?
SSC CGL • 2024
P and Q are two fixed points 10 cm apart, and R is a point on PQ such that PR = 6 cm. By what percentage is the length of QR decreased when the length of PR is increased by 5%?
SSC CHSL • 2025
A does 60% of the work in 18 days. He then calls in B, and they together finish the remaining work in 4 days. How long would B alone take to do the whole work?
SSC CGL • 2025
In △XYZ, a line segment LM is drawn parallel to YZ, with L on XY and M on XZ. If the ratio of the area of △XLM to the area of the trapezium LMYZ is 9 : 16, what is the ratio of XL to LY?
SSC CHSL • 2023
The data given in the following table shows the number of boys and girls enrolled for different games in an academy over 5 years. [Table] In which year did the academy have the highest enrollment?
SSC CGL • 2022
In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm, then what is BD : DC ?
SSC CHSL • 2024
In an election between two candidates, Ananth and Aravind, Ananth got 55% of the total valid votes, and 20% of the votes were invalid. If the total number of votes was 30,000, find the number of valid votes that Aravind got.
SSC GD • 2025
If 2% of x = 324, then x is equal to:
SSC CGL • 2025
If tan A = cot(2A + 30°), then what is the value of A?
SSC CHSL • 2023
If cosecθ - cotθ = 7/2 , then the value of Cosecθ will be:
SSC CGL • 2025
A tank contains 120 litres of liquid, 30% of which is alcohol. If 30 litres of this mixture is replaced by another liquid containing 50% alcohol, what is the percentage of alcohol in the resulting solution?
SSC GD • 2025
Evaluate: 16 + 10 ÷ 5 - 2 × 3
SSC GD • 2024
An electric wire of 60 meters is cut into equal segments of 5 meters each. Calculate the number of segments.
SSC CHSL • 2025
A right pentagonal prism has each side of its regular pentagonal base measuring 6.2 cm, and the prism’s height is 10.5 cm. If the area of the pentagonal base is approximately 66.43 cm², find the total surface area of the prism.
SSC CGL • 2024
Ramesh purchased 130 books at the rate of ₹200 each and sold half of them at the rate of ₹300 each, one-fifth of them at the rate of ₹350 each and the rest at the cost price. Find his profit percentage.
SSC CGL • 2025
Two bikes start 240 km apart. Moving towards each other they meet in 3 hours; in the same direction in 12 hours. Find the slower bike’s speed.
SSC CGL • 2023
Raja and Rocky together can complete painting work in 5 days. Together, they both start painting, but after 2 days, Rocky falls sick and leaves the work. If Raja completes the remaining painting in 4 days, find the number of days in which Rocky alone can do…
SSC CHSL • 2024
A and B, working together, take 15 days to complete a piece of work. If A alone can do this work in 18 days, then how long would B take to complete the same work?
SSC CHSL • 2023
A spends 68% of his monthly income. If A's monthly income increases by 25% and his monthly saving increases by 15%, then the percentage increase in his monthly expenditure will be:
SSC Selection Post • 2024
The largest 4-digit number that is exactly divisible by 88 is:
SSC Selection Post • 2020
Eight years ago, the ratio of the ages of A and B was 9: 10. The ratio of their ages 4 years from now will be 12: 13. If the age of C is 4 years less than the present age of A, then what is the present age (in years) of C?
SSC CHSL • 2021
Study the given graph and answer the question that follows [Image] In the year 2019, if the imports increased by the same percentage as that in 2018 over its previous year, then what was the amount (in Rs. crores) of the imports in the year 2019?
SSC CHSL • 2023
The following bar graph shows the sales of books (in thousands) from 3 branches of a company in three consecutive years 2018, 2019 and 2020. What is the ratio of the total sales of branch A for the year 2018 to the total sales of branch C for the year 2020?…
SSC GD • 2019
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
SSC CGL • 2020
The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and the denominator is decreased by 3, the fraction becomes 2/3 , What is the difference between the denominator and numerator of the original fraction?
SSC CGL • 2025
ΔPQR has vertices P(1, 1), Q(4, 1), and R(1, 5). Triangle STU has vertices S(6, 2), T(9, 2), and U(6, 6). Are these two triangles congruent?
SSC GD • 2019
Study the following table and answer questions: Number of employees working in five different companies. [Table] The number of female employees in company C is what percent more than the number of male employees in company E?
SSC CHSL • 2019
The vertices A, B, C and D of a quadrilateral ABCD lied on a circle. ∠A is thrice ∠C and ∠D is twice ∠B. What is the difference between the measures of ∠B and ∠C?
SSC CGL • 2023
R wants to deposit ₹80,000 in the bank for a year. In his account, the bank gives 12% simple annual interest but charges ₹3,000 as a processing fee for the account. What would be his percentage earnings in the account?