Quantitative Aptitude PYQ — Page 67
24,303 questions across SSC exams.
SSC Selection Post • 2025
If the simple interest on ₹4,000 for 2 years is ₹480, what is the rate of interest?
SSC Selection Post • 2025
Given that (√a + 1/√a)² = 10, find the value of a² + 1/a².
SSC CHSL • 2023
Given below is a pair of events (I) and (II). Assuming that the information given in both (I) and (II) is true, decide the nature of their relationship. To determine the answer, do not assume anything beyond the given information. Event (I): High level of…
SSC Selection Post • 2025
The average weight of 3 students is 45 kg. If one more student weighing 51 kg joins, what's the new average weight after the student joins?
SSC Selection Post • 2025
Which of the following is both rational and an integer?
SSC CGL • 2022
If (√(26-7√(3)))/(√(14+5√(3)))= (b+a√(3))/11, b>0 then what is the value of √((b-a)) ?
SSC CHSL • 2023
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 7: 336:: 3: 24:: 5:?
SSC Selection Post • 2025
A shopkeeper gives 0.75 meter of cloth per customer. If he has 15 meters, how many customers can he serve completely?
SSC Selection Post • 2025
Mr. A invested ₹15,500 in stocks and ₹20,500 in mutual funds. If the uninvested amount is 40% of his total savings, what was his total savings?
SSC Selection Post • 2025
A shopkeeper finds that the profit from selling a watch for ₹1100 is equal to the loss incurred when selling it for ₹900. What will be the percentage loss if the watch is sold for ₹850?
SSC Selection Post • 2025
Arrange the following surds in ascending order: √3, √5, √20
SSC Selection Post • 2025
A student scores 80%, 75%, and 85% in three subjects. What is the average percentage?
SSC Selection Post • 2025
A shopkeeper lists a jacket for ₹2000. He offers a discount of 15% on the list price. What additional discount (on the reduced price) must he offer to bring the final price down to ₹1360?
SSC CGL • 2018
A hollow cylinder of thickness 0.7 cm and height 15 cm is made of iron. If inner radius of cylinder is 3.5 cm, then what is the total surface area (in cm²) of the hollow cylinder?
SSC Selection Post • 2025
A cylinder having radius of 5 cm and a height of 10 cm. Find its volume. (π=3.14)
SSC Selection Post • 2025
In an election, Candidate A received 45% of the total votes, and Candidate B received 30% of the total votes. If the remaining 15000 votes were invalid, find the total number of votes polled.
SSC Selection Post • 2025
A person drives to his office at 40 km/h and reaches 15 minutes late. If he drives at 60 km/h, he reaches 10 minutes early. What is the distance to his office?
SSC Selection Post • 2025
The mean of five consecutive even numbers is 68. Find the greatest number.
SSC Selection Post • 2025
Which of the following is a perfect square of an even number?
SSC Selection Post • 2025
If a recipe calls for 0.625 liters of milk, how many ml is that?
SSC Selection Post • 2025
The ratio of savings of two individuals is 6 : 5. If one increases his savings by 15% and the other by 10%, find their new savings ratio.
SSC Selection Post • 2025
A baker made 100 cakes for ₹3000. Due to an accident, 10 cakes were damaged. At what price per cake should he sell the remaining cakes to make an overall profit of 15%?
SSC CGL • 2022
What is the area (in unit squares) of the region enclosed by the graphs of the equations 2x - 3y + 6 = 0, 4x + y = 16, and y = 0?
SSC CGL • 2019
The sides of a triangle are 12, 35 and 37 cm. What is the circumradius of the triangle?
SSC CGL • 2018
A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?
SSC Selection Post • 2025
The angle of elevation of the top of a tower from a point on the ground is 45°. If the tower is 20 meters high, find the distance of the point from the base of the tower.
SSC Selection Post • 2025
A shopkeeper makes a 25% profit by selling a shirt for ₹750. What is the cost price?
SSC Selection Post • 2025
Find the average of 25, 35, 45, 55, and 65.
SSC CGL • 2020
If 1/(X + 1/(y + 2/(z+1/4)))= 29/79 , where x, y and z are natural numbers, then the value of (2x + 3y - z) is:
SSC CGL • 2020
The length of the shadow of a vertical tower on level ground increases by 10 m when the angle of elevation of the sun changes from 45º to 30º. The height of the tower is:
SSC CGL • 2016
If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is:
SSC Selection Post • 2025
In a city, there are 4,500 females for every 5,000 males. What is the sex ratio in this city (number of females per 1000 males)?
SSC Selection Post • 2025
A shopkeeper claims to sell goods at a profit of 10% on the cost price but uses a false weight of 900 g for every 1 kg. What is his actual profit percentage?
SSC Selection Post • 2025
A regular hexagon has a side length of 6 cm. What is its perimeter?
SSC Selection Post • 2025
A and B together can finish a work in 18 days, B and C in 24 days, and C and A in 36 days. In how many days can B alone complete the work?
SSC CGL • 2025
In a right triangle, one of the acute angles is 30°. What is the measure of the exterior angle at the right-angled vertex?
SSC CGL • 2020
ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BEC = 128º and ∠ECD = 25º, then what is the measure of ∠BAC?
SSC Selection Post • 2025
The difference between the compound interest and simple interest on ₹18,000 for 2 years is ₹405. What is the rate of interest per annum?
SSC CGL • 2019
Triangle ABC and triangle DBC are on the same base BC but on opposite sides of it. AD and BC intersects each other at O. If A0 = a cm, DO = b cm and the area of triangle ABC = x cm², then what is the area (in cm²) of triangle DBC ?
SSC CGL • 2017
The ratio of cost price and selling price of an article is 20 : 21. Then gain percent on it is:
SSC Selection Post • 2025
Which of the following is not a like surd?
SSC Selection Post • 2025
If secθ + tanθ = p, what is the value of secθ in terms of p?
SSC Selection Post • 2025
The average marks of boys in a class is 70, and for girls, it's 75. If there are 20 girls and 30 boys, what is the average marks of the whole class?
SSC CGL • 2018
ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm²) of triangle ABD ?
SSC Selection Post • 2025
A merchant mixes 60 kg of coffee at ₹90 /kg with a dearer variety at ₹120 /kg. He sells the blend at ₹110 /kg and gains 10 % profit. How many kg of the dearer variety did he add?
SSC CGL • 2016
The profit on selling an article for Rs.425 is the same as the loss on selling it for Rs.355, then the cost price of the article is
SSC CGL • 2019
Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in 2/5th of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?
SSC Selection Post • 2025
The average weight of 10 parcels is 1.5 kg. If a parcel weighing 2.5 kg is replaced by a new parcel, the average weight becomes 1.6 kg. What is the weight of the new parcel?
SSC Selection Post • 2025
A merchant mixes 60 kg of coffee at ₹90 /kg with a dearer variety at ₹120 /kg. He sells the blend at ₹110 /kg and gains 10 % profit. How many kg of the dearer variety did he add?
SSC CGL • 2018
If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to finish rest of the job?