Quantitative Aptitude PYQ — Page 165
24,303 questions across SSC exams.
SSC Selection Post • 2023
The given bar graph reflects the data on the favourite colours of several students in a class. Suppose the students are divided into two groups, A and B, with those in Group A choosing one of Red, Green, Orange or Pink as the favourite colour and those in…
SSC CGL • 2023
If a + 1/a = 7, then a⁵ + 1/(a⁵) is equal to
SSC GD • 2024
The difference between the compound interest (compounding half yearly) for 1 year and the simple interest for 1 year on a certain sum lent out at the annual rate of 40 percent is Rs. 360. What is the sum?
SSC CHSL • 2020
If each edge of a cube is increased by 10%, then the percentage increase in its surface area is:
SSC CGL • 2022
The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E. Which state(s) has employed youth less than 80% of its total youth population? [Image]
SSC GD • 2025
The value of 66 - 2 × [ 10 + 2 × { 18 - 2 ( 7 - 4 ) × 3} ÷ 50] is:
SSC CHSL • 2020
The given bar graph represents the production and sales of a certain crop in quintals by the farmers F1, F2, F3 and F4. [Image] What is the average of a crop in quintals, sold by the all farmers?
SSC CHSL • 2020
A 5 cm long perpendicular Is drawn from the centre of a circle to a 24 cm long chord. Find the diameter of the circle.
SSC CGL • 2025
A circular signboard has a radius of 3.5 m. If painting costs ₹50 per m² and 10% of the board is left unpainted, what is the total painting cost?
SSC CHSL • 2025
If in a right-angled triangle, cos A = 5/13, find the value of tan A - sin A.
SSC GD • 2023
If 9 persons can do a job in 18 days, then 18 persons with twice the efficiency can do the same job in:
SSC CGL • 2019
After giving two successive discounts, each of x%, on the marked price of an article, the total discount is Rs. 259.20. If the marked price of the article is Rs. 720, then the value of x is:
SSC GD • 2025
400 custard apples were bought at ₹1200 per hundred and were sold at a profit of ₹900. Find the selling price (in ₹) per dozen of custard apples.
SSC GD • 2025
The fourth proportional to 2.5, 9.6 and 75 is:
SSC CHSL • 2025
Find the mean proportion between 4 and 16.
SSC CGL • 2024
If the ratio of the areas of two similar triangles is 25 : 144, the ratio of their corresponding sides is:
SSC CHSL • 2022
If the length and the breadth of a rectangle are increased by 15% and 20%, respectively, then by how much percent the area of the rectangle will increase?
SSC CGL • 2023
Study the given table and answer the question that follows. The table shows the number of candidates who appeared (App), qualified (Qual) and were selected (Sel) in a competitive examination from four states Delhi, Goa, Karnataka, and Maharashtra over the…
SSC CHSL • 2024
The altitude of triangle is 3sqrt3 cm. Find its area.
SSC Selection Post • 2020
An article is sold with a profit of 15% if both the cost price and the selling price of the article were reduced by ₹140 each, then the profit percentage becomes 19.2%. The cost price of the article is:
SSC GD • 2023
A sum of money is to be distributed among A, B and C in proportion of 5 : 7 : 11. If B gets Rs 1,500 more than A, what is B’s share?
SSC CGL • 2022
If sinA = 5/13 and 7cot B = 24, then the value of (secAcosB)(cosecB tanA) is:
SSC MTS • 2022
15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the sale of the item, then what will be the profit percentage?
SSC CGL • 2023
The angles of a triangle are in the ratio 2 : 3 : 7. What is the measure of the largest angle of the triangle?
SSC GD • 2026
The speed of a train is 40 km/hr. Length of the train is 500 metres. How much time (in minutes) the train will take to cross a man standing on the platform?
SSC CGL • 2025
If sin(x) = cos(3x - 30°), what is the value of x?
SSC CGL • 2023
The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
SSC CGL • 2023
In the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD. [Image]
SSC CGL • 2024
Find the length of the longest stick that can be fitted in a cubical vessel of edge 70 cm.
SSC CHSL • 2025
The angle subtended by a chord at the center is 90°. Its length is 8 cm. What is the radius?
SSC CGL • 2020
Ravi scores 72% marks in examinations. If these are 360 marks, then the maximum marks are:
SSC CGL • 2024
Two successive discounts of 40% and 30% are equal to a single discount of:
SSC GD • 2025
LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.
SSC CHSL • 2023
If (x²+1)/x =5, then find the value of x⁴ + 1/(x⁴) - 36
SSC CGL • 2024
In which of the given year(s) was the production of B type refrigerator closest to its average production over the given years?
SSC CGL • 2021
Suman travels from place X to Y and Rekha travels from Y to X, simultaneously, After meeting on the way, Suman and Rekha reach Y and X, in 3 hours 12 minutes and 1 hour 48 minutes, respectively. If the speed of Rekha is 9 km/h, then the speed (in km/h) of…
SSC GD • 2023
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SSC CGL • 2025
If sinA + cosA = x, then find the value of sin²A + cos²A + 2 sinA cosA.
SSC GD • 2025
Amit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 5 years, Gopal gets ₹600 more interest than Amit, then find the rate of interest per annum (in percentage).
SSC CGL • 2021
If a number P is divisible by 2 and another number Q is divisible by 3, then which of the following is true?
SSC Selection Post • 2022
By selling an article for Rs.390, a shopkeeper suffers some loss. Had he sold it for Rs. 444, he would have earned a profit equal to one - fifth of the loss he had in the earlier case. If he sells it for Rs.522, what will be his profit percentange?
SSC GD • 2025
Bhanu travels from City A to City B, If Bhanu drives his car at 3over7 of his normal speed, then he reaches City B 28 minutes late. Find the time (in minute) that Bhanu would have taken to travel from City A to City B if he drove at his normal speed.
SSC CGL • 2019
Let O be the centre of a circle and AC be its diameter. BD is a chord intersecting AC at E. Point A is joined to B and D. If ∠BOC = 50° and ∠AOD = 110°, then ∠BEC = ?
SSC CHSL • 2025
A drone is programmed to fly diagonally inside a cuboid-shaped warehouse with internal dimensions 6 m × 8 m × 10 m, starting from one bottom corner to the opposite top corner. What is the shortest straight-line distance the drone must travel?
SSC CHSL • 2025
If AB is a chord of a circle with center O, and angle AOB = 60°, then the length of the arc AB (radius = r) is:
SSC CGL • 2021
The average monthly salary of 60 employees of a factory is Rs. 29900. If two officers are getting Rs. 90000 each and the average salary of 8 supervisors is Rs. 65000, then what is the average salary (in Rs.) of the remaining employees?
SSC GD • 2021
Pipes A and B can empty a full tank in 16 hours and 24 hours, respectively. Pipe C alone can fill the empty tank in 4 hours. If A,B and C are opened together, the tank will be 35% full after:
SSC GD • 2024
A man travelled four equal distances of 7 km at the speeds of 8 km/hr, 16 km/hr, 24 km/hr and 32 km/hr respectively. What is his average speed?
SSC GD • 2021
Divide ₹ 18,400 among 6 men, 13 women and 6 boys such that the ratio of the shares of a man, a woman and a boy is 5 : 4 : 3. How much money will each boy receive?
SSC Selection Post • 2024
A bank gives simple interest at the rate of 4.5% per annum. How much money (in ₹) should a person deposit to get ₹7,500 as interest every year?