Quantitative Aptitude PYQ — Page 384
24,303 questions across SSC exams.
SSC CGL • 2023
The average of all prime numbers between 32 and 69 is:
SSC CHSL • 2025
A regular right pyramid has a square base with side length 16 cm and a height of 30 cm. Calculate the slant height and total surface area. (in approx)
SSC CHSL • 2022
A man takes 16 days to complete a project. A woman does the same work in 12 days. They started the work together on alternate days and the man worked on the first day. How much time will they take to complete the work?
SSC CGL • 2020
In the given figure, ∠DBC = 65º, ∠BAC = 35º and AB = BC, then the measure of ∠ACD is equal to: [Image]
SSC Selection Post • 2022
If arithmetic and geometric means of x and y are 8 and 3 sqrt7 , respectively, then the value of x³ + y³ is :
SSC CHSL • 2021
A circle touches all four sides of a quadilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm, then what is the length of RS?
SSC CGL • 2021
Find the sum of squares of the greatest value and the smallest value of K in the number so that number 45082K is divisible by 3.
SSC GD • 2019
The length, breadth and height of a solid cuboid is 14 cm, 12 cm and 8 cm respectively. If cuboid is melted to form identical cubes of side 2 cm, then what will be the number of identical cubes?
SSC Selection Post • 2019
A sum of ₹12,500 is distributed among A, B, C and D such that A gets 800 more than what B gets, C gets twice of what B gets and D gets 900 more than what A gets. The ratio in which D, C, B and A receive the sums is:
SSC GD • 2019
A and B can together complete a task 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?
SSC CHSL • 2025
In a triangle ABC, the angle bisector of angle A divides side BC at point D. If AB=8 cm, AC=12 cm, and BC=15 cm, what is the length of segment BD?
SSC CHSL • 2019
AB and CD are two chords of a circle which intersect at a point O inside the circle. It is given that, AB = 10 cm, CO = 1.5 cm and DO = 12.5 cm. What is the ratio between the larger and smaller among AO and BO?
SSC CGL • 2023
A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water?
SSC Selection Post • 2022
Find the area (in m²) of a rectangular field whose one side is 35 m and a diagonal is 37 m.
SSC CGL • 2025
The decimal 0.875 is best classified as:
SSC CHSL • 2025
A circle has radius of 6 cm, and there is a point situated 10 cm away from the center of the circle. A tangent is drawn from this point to touch the circle. Calculate the length of the tangent segment.
SSC CGL • 2025
A man reduces his speed from 20 kmph to 18 kmph. So, he takes 8 minutes more than the normal time. What is the distance traveled by him?
SSC MTS • 2022
At a refugee camp, the food supplies were enough to feed 300 refugees for 45 days. But 60 more refugees joined after 15 days. For how many days would the rest of the food supplies last?
SSC CGL • 2025
Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are 30° and 45° respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.
SSC GD • 2019
If cost price of an article is Rs. 1240 and loss is 32%, then what will be the selling price of the article?
SSC CHSL • 2025
If x = √45 + √5, then what is the value of x²?
SSC CGL • 2025
A bag contains ₹5, ₹2, and ₹1 coins in the ratio 2: 3: 4, if the total amount of money in the bag is ₹200, find the number of coins of each kind.
SSC CHSL • 2025
Find the value of k such that the quadratic equation x² + kx + 16 = 0 has real and distinct roots.
SSC CGL • 2022
If x - y = 1 and x² + y² = 41 where x,y ≥ 0, then the value of x + y will be :
SSC CHSL • 2024
From the salary of a software engineer, if 15% is used as house rent, 25% of the remaining is spent on household items, 25% of the remaining as income tax, and 15% of the remaining on clothing, then he is left with ₹10,404. Find his total salary.
SSC GD • 2019
The sum of the volume of two solid spheres is 1144/3 cm³. If the sum of their radii is 7 cm, then what will be the difference of the radii?
SSC GD • 2019
The length breadth and height of a cuboid are in the ratio 4 : 3 : 2. If the volume of cuboid is 1536 cm, then what will be the total surface area of the cuboid?
SSC CGL • 2022
Find the value of the following expression. 12³+ (-8)³ + (-4)³
SSC CGL • 2022
Find the weighted arithmetic mean of the first ‘n’ natural numbers, the weights being the corresponding numbers.
SSC Selection Post • 2022
The following graph shows the income and expenditure of a company. Study the graph carefully and answer the question based on the graph. [Image] The difference between the profits in 2015 and 2016 is:
SSC CGL • 2025
P and Q invest ₹45,000 and ₹80,000 respectively in a business. What is Q's share in a profit of ₹120,000?
SSC CGL • 2023
Evaluate the following:. sin 25° sin 65° – cos 25° cos 65°.
SSC Selection Post • 2023
Mohan divides 18935 by a certain number. If the quotient and the remainder he gets are 102 and 65, respectively, then the divisor is:
SSC Selection Post • 2020
The marked price of an article is 28% higher than its cost price. Find the profit or loss percentage if the shopkeeper gives a 25% discount.
SSC Selection Post • 2024
The average weight of a group of 15 students is 70 kg. Five more students of weight 65 kg, 68 kg, 45 kg, 77 kg and 62 kg join the group. What is the change in the average weight (rounded off to the nearest integer) of the group?
SSC CHSL • 2020
Ravi sells a chair to Mohan at a profit 10% and Mohan sells it to Govind at profit 20%. If Govind pays Rs.1,320 for it. Then the cost price for Ravi is:
SSC CHSL • 2019
It is given the area of a triangle is A. The value of its perimeter, inradius, circumradius and the average of the lengths of the medians are P, r, R and d respectively. The ratio A : P is equal to
SSC CGL • 2022
What is the possible value of (a + b + c) - 3, if a² + b² + c² = 9 and ab + bc + ca = 8 ?
SSC CHSL • 2020
If xsin30ᵒcos60ᵒ = sin45cos45, then the value of x is:
SSC CHSL • 2020
If 4/3(x² + (1/x²)) = 110 (2/3), find 1/9(x³ - (1/x³)), where x > 0.
SSC GD • 2021
There are two sections A and B of a class, consisting of 38 and 42 students, respectively. If the average weight of the students of section A is 55 kg and that of section B is 32 kg, find the average weight of all the students in the class.
SSC Selection Post • 2024
A packet has to consist of three types of jellies – orange, mango, and strawberry. The price per unit of orange, mango, and strawberry jelly is ₹2.00, ₹3.00, and ₹3.50, respectively. In a packet, there are 80 orange jellies, 50 mango jellies, and 120…
SSC CGL • 2025
A invests ₹24,000 for 12 months and B invests ₹36,000 for 8 months. If the total profit is ₹30,000, what is A’s share of the profit?
SSC CGL • 2020
The average of the marks of 30 boys is 88, and when the top two scores were excluded, the average marks reduced to 87.5. If the top two scores differ by 2, then the highest mark is :
SSC CHSL • 2023
If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km²?
SSC Selection Post • 2024
S varies directly as (R + 7), and S = 42 when R = 17. What is the value of S when R = 29?
SSC CGL • 2022
A circle is circumscribed on a quadrilateral ABCD. If ∠ DAB = 100°, ∠ ADB = 35° and CDB = 40°, then find the measure of ∠DBC.
SSC CGL • 2020
The value of √(tan²60ᵒ + sin90ᵒ) - 2 tan45ᵒ is:
SSC CHSL • 2024
The surface area of a cube is 486 cm². Find the volume.
SSC Selection Post • 2024
A chemistry laboratory requests a 25% solution of ferrous sulphate. A supplier has 40 millilitres of a 20% solution. How many millilitres of 40% solution should be added to make it a 25% solution (correct to two decimal places)?