Quantitative Aptitude PYQ — Page 286
24,303 questions across SSC exams.
SSC Selection Post • 2024
If the number 3727 x 4 is completely divisible by 8, then the smallest integer in place of x will be:
SSC CHSL • 2020
The value of 4/5 ÷ 3(1/4) of 8/13 - ((1/5 - 1/8))/((1/5 + 1/8)) × 5(1/5) + 5/6 is:
SSC CHSL • 2025
A circle is inscribed within a square with a side length of 18 cm. Find the area of the part of the square not covered by the circle.
SSC Selection Post • 2022
The average weight of 12 persons is increased by 3.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of the new man is:
SSC GD • 2019
A solid toy is in the form of hemisphere surmounted by right circular cone. Height of the cone is 4 cm and diameter of the base is 6 cm. What will be the surface area of the toy?
SSC CHSL • 2025
A solid metallic sphere of radius R is heated so that its radius increases by 10%. Find the approximate percentage increase in its volume.
SSC CGL • 2023
Ankita sold her watch at 5% loss. If she had sold it for ₹300 more, she would have gained 5%. Find the selling price of the watch.
SSC CHSL • 2020
A runner is running at a speed of 40 km/h. If he runs at a speed of 30 km/h, then what will the decrease in the percentage of his speed be?
SSC Selection Post • 2019
Find the simple interest (in ₹) on ₹16,200/- at the rate of 8% per annum for 2 years.
SSC Selection Post • 2022
The population of a village increases by 6.25% every year. If the present population of the villages is 4046, then what was its population 2 years ago?
SSC CGL • 2024
Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:
SSC CHSL • 2019
The length of a rectangular park is 20 meters more than its breadth. If the cost of fencing the park at Rs. 53 per meter is Rs. 21200, then what is the area (in m²) of the park?
SSC CHSL • 2024
Let C be a circle with center O and PQ is the diameter of C. Let AB be a chord on C. If ∠QOB = 40°, ∠AOP = 80°, then find ∠AOB.
SSC CHSL • 2024
A cylindrical candle, 14 cm in diameter and length 2 cm is melted to form a cuboid candle of dimensions 7 cm x 11 cm x 2 cm. How many cuboidal candles can be obtained?
SSC CHSL • 2023
If tan F = 15/8 , then what is the value of sin F + cos F?
SSC CHSL • 2020
Find the value of (Cos30ᵒ- Sin30ᵒ)/(Sin60ᵒ+ cos60ᵒ).
SSC CHSL • 2023
If four-fifths of five-sixths of one-eighth of a certain number is 4365, what is 65% of the number?
SSC GD • 2021
The simple interest on a sum of ₹ x at 8.5% p.a. for 12 years is ₹ 3298 less than the amount of the same sum invested at the same rate 4(4/5) years at simple interest. The value of x is:
SSC Selection Post • 2024
A person spends 40% of his salary on food items, 50% of the remaining on transport, and 30% of the remaining on clothes. After spending on food, transport and clothes, he saves ₹1,260 every month, what is his monthly salary?
SSC CGL • 2022
The pie chart given below shows the number of truck sold by 8 different companies. The total number of truck sold by all these 8 companies are 4000. Number of truck sold by a particular company is shown as a percent of total number of truck sold by all these…
SSC CGL • 2023
ΔΑΒΟ - ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:
SSC CHSL • 2024
If sin θ=2xy/(x²+y²) , then the value of tan θ is:
SSC CHSL • 2020
Find the value of (Cos30ᵒ- Sin30ᵒ)/(Sin60ᵒ+ cos60ᵒ).
SSC CGL • 2022
X, Y and Z can do a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 2 days. If Z joined them after 8 days from the beginning, them for how many days did X worked?
SSC CHSL • 2023
A shopkeeper usually makes one big besan laddoo (spherical in shape) with a radius of 9 cm. With the same laddoo, how many besan laddoos of radius 3 cm can be made? (Use a = 22/7 )
SSC CGL • 2024
If A : B = 6 : 8 and B : C = 5 : 10, then A : B : C is:
SSC CGL • 2020
If the value of (a + b - 2)² + (b + c - 5)² + (c + a - 5)² = 0, then the value of √((b + c)ᵃ + (c + a)ᵇ - 1) is:
SSC CHSL • 2023
In the Lok Sabha election, Party A got 30% of the total votes. Party B got 25% of the total votes. Party C got the remaining votes and they got 9000 more votes than Party A. Find the number of votes Party B got.
SSC CGL • 2023
A, B and C can do a piece of work in 20, 30 and 60 days, respectively. In how many days can A do the work if he is assisted by both B and C on every third day?
SSC CGL • 2024
In what ratio, sugar costing ₹78 per kg be mixed with sugar costing ₹46 per kg such that by selling the mixture at ₹75 per kg there is a gain of 20%?
SSC CHSL • 2025
If a = √8 + √3 and b = √8 - √3, find the value of (a + b) / (a - b).
SSC Selection Post • 2020
A can finish 80% of a task in 12 days, and B can finish 20% of the same task in 2 days. They started the task together, but B left after 2 days, and A continued to work. In how many days was the entire task completed?
SSC CGL • 2017
The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm² is?
SSC CHSL • 2024
A and B are two stations 420 km apart. A train starts from A at 11 am and travels towards B at the speed of 70 kmph. Another train starts from B at 12 noon and travels towards A at the speed of 30 kmph. At what time do they meet?
SSC CGL • 2025
A factory made 1500 toys costing ₹1,20,000 in total. They gave away 300 toys for free. On the remaining toys, they offered a 15% discount on the marked price of ₹150 per toy. They also gave 3 free toys for every 12 bought. If all toys were distributed, what…
SSC Selection Post • 2022
Two trains, A and B, start at uniform speeds, simultaneously from two stations, P and Q, respectively, towards each other. After crossing each other. A takes 20 hours to reach Q, and B takes 5 hours to reach P. If train A is moving at a speed of 55 km/h, the…
SSC CHSL • 2022
Which of the following numbers is NOT divisible by 36?
SSC CHSL • 2024
The speed of a thief is 4/5 times the speed of a policeman. The thief covers a distance of 6 km before he was caught by the policeman in 30 minutes. Initially, what was the distance between the policeman and the thief in km?
SSC CHSL • 2025
In a scheme, a shopkeeper offers a 10% discount if you buy two or more books. Kiran buys two books for ₹540. If the shopkeeper still makes a 20% profit, find the profit he would make had he sold the books without the discount.
SSC MTS • 2022
The ratio of the cost price and the selling price is 5 : 3. What is the loss percentage?
SSC CGL • 2021
Table shows the number of tress planted in 4 cities from 2016 to 2020. [Table] In which year were the maximum number of trees planted?
SSC Selection Post • 2024
Which of the following schemes will yield maximum discount on purchase of ₹x? 1) 2 successive discounts of 25% and 15% 2) Single discount of 20% 3) 2 free on purchase of 3 items 4) 3 free on purchase of 7 items
SSC CGL • 2021
A boat goes 27 km upstream and 33 km downstream in 6 hours . In the same time it can go 36 km upstream and 22 km downstream . How much time will it take to go 36 km upstream and 44 km downstream?
SSC CGL • 2025
A man spends 80% of his income. His income has increased by 25%, but his expenditure remains the same. By what percent have his savings increased?
SSC CGL • 2025
A hemispherical dome covers a circular area of diameter 20 m. What is the approximate curved surface area of this dome?
SSC CHSL • 2023
In a solution of water and milk, the quantity of milk is double the quantity of water. To pass the quality standards, the solution must contain 90% milk in it. If the volume of solution is v, then how much pure milk in litre is to be added to the solution to…
SSC CGL • 2025
Creating a frustum, a right circular cone is sliced parallel to its base,. The height of the original cone is 30 cm, and the cut is made 10 cm from the vertex. What is the ratio of the volumes of the frustum to that of the entire cone?
SSC CHSL • 2023
A circle with a center O has a chord AB that is 20 cm in length. If the radius of the circle is 12 cm, then the area of triangle AOB is:
SSC CGL • 2023
A can do 20% of a work in 4 days, and B can do 33 1/3 % of the same work in 10 days. They worked together for 9 days and then C completed the remaining work in 6 days. B and C together will complete 75% of the same work in:
SSC CHSL • 2019
If 49 men working 12 hours a day can complete a work in 8 days, then how many men working 4 hours a day can complete the same work in 24 days?