Quantitative Aptitude PYQ — Page 237
24,303 questions across SSC exams.
SSC Selection Post • 2019
A train takes 1 hour 10 minutes to travel between two stations P and Q. If it travels at 5/7 of its usual speed, what time will it take to travel between P and Q?
SSC CHSL • 2021
ABCD is a cyclic quadrilateral with AB as the diameter of the circle. If ∠ADC = 118º, then the measure (in degrees) of ∠BAC is:
SSC CGL • 2024
The distance between the centres of two circles of radii 22 cm and 10 cm is 37 cm. If the points of contact of a direct common tangent to these circles are M and Q, then find the length of the line segment MQ.
SSC CGL • 2021
A man walking at a speed of 3km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m² ) ?
SSC CGL • 2022
The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the centre. What is the radius of the circle?
SSC GD • 2024
Average of 12 numbers is 60. If 12 is subtracted from the first five numbers and 10 is added in the next seven numbers, then what will be the new average?
SSC GD • 2023
A trader offers an 8% discount on all his goods and still make a 15% profit. If an item is marked with a price of Rs.250, the cost price is:
SSC CGL • 2021
The value of (tan(45ᵒ-α))/(cot(45ᵒ+α))-((cos19ᵒ+sin71ᵒ)(sec \ 19ᵒ+cosec71ᵒ))/(tan \ 12ᵒ tan24ᵒ tan66ᵒtan78ᵒ) is:
SSC CGL • 2016
A hemispherical bowlof internal radius 9 cm, contains a liquid. This liquid is to befilled into small cylindrical bottles of diameter 3 cm and height 4 cm.Then the number of bottles necessary to empty the bowl is
SSC GD • 2023
The difference in compound interest, under annual compounding, and simple interest on a certain sum at the same rate of interest in 2 years is 144% of the sum. Find the rate of interest per annum.
SSC GD • 2025
The salary of a worker is first increased by 8% and then it is decreased by 8%. What is the percentage change in his salary?
SSC CGL • 2022
A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs.120. How much did he have at first?
SSC MTS • 2022
A hollow spherical shell is made of a metal of density 2.5 g/cm³. If the external and the internal radii of the given sphere are 35 cm and 14 cm, respectively, find the mass of the shell.[Use 22/7 ]
SSC CGL • 2024
In a circle with center O, an arc ABC subtends an angle of 138° at the centre of the circle. The chord AB is produced to a point P. Then, the measure of ∠ CBP is:
SSC GD • 2024
A man buys 35 mangoes for a rupee. How many mangoes had he sold for a rupee so that there is a loss of 30 percent?
SSC GD • 2019
The average weight of a group of 22 students increases by 1 kg when the weight of the teacher is also included. If the initial average weight of the group of 22 students was 31 kg, then what is the weight of the teacher?
SSC CHSL • 2021
Simplify the following expression. (2x - 3y)³ - 18xy(2x - 3y)
SSC CGL • 2023
If (a³ + b³ + c³ - 3abc) = 405, and (a + b + c) = 15, find the value of (a - b)² + (b - c)² + (c - a)².
SSC GD • 2023
Shashi buys an old refrigerator for ₹12,000 and spends ₹1,000 on its repairs. If he sells the refrigerator for ₹15,000, then his gain percentage is:
SSC CGL • 2023
Which of the following numbers is divisible by 36?
SSC CGL • 2022
The value of (4 \ tan² \ 30⁰ + sin² \ 30⁰ \ cos² \ 45⁰ + sec² \ 48⁰ - cot² \ 42⁰)/(cos37⁰sin53⁰ + sin37⁰cos53⁰+tan18⁰tan72⁰) is:
SSC GD • 2019
The pie charts show the market share of companies in the rice market in 2017 and 2018. [Image] The value of sales of Company A in 2017 was Rs. 40 lakhs. If its sales grew by 25% in 2018, what was approximate value of sales of company B in 2018?
SSC Selection Post • 2022
If A is 25% more than B and B is 15% less than C, then A:B:C= ?
SSC CHSL • 2022
In an election between Ram and Shyamal, one got 30% of the total votes and thus lost by 900 votes. If 90% of the voters voted and no invalid or illegal votes were cast, then what was the numbers of voters in the voting list?
SSC CGL • 2022
In the following figure, AD bisects angles BAC. Find the length (in cm) of BD. [Image]
SSC GD • 2024
The simple interest received on a certain sum is Rs. 1782 for 3 years. What will the simple interest be on the same sum at the same interest rate for 10 years?
SSC Selection Post • 2022
To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. The speed of the stream is __.
SSC CGL • 2021
The average of x occurring 5 times and y occurring 7 times is 37. Also, the average of x occurring 7 times and y occurring 5 times is 35. The value of y is:
SSC CHSL • 2024
During the first year the population of a village increased by 5% and during the second year it diminished by 5%. At the end of the second year its population was 47,880. What was the population at the beginning of the first year?
SSC CHSL • 2023
The marked price of the cupboard is Rs. 15,750, which is 50% above its cost price. It is sold at a discount of 40% What is the profit/loss percentage?
SSC CGL • 2021
Find the value of cot 25º cot 35º cot 45º cot 55º cot 65º
SSC Selection Post • 2022
48% of the total marks is required to pass an examination and 80% to get a First Class with distinction. A student scored 817 marks and failed by 47 marks. How many marks should he secure to get First Class with distinction?
SSC GD • 2023
If I ∶ m = 2 ∶ 7, m ∶ n = 3 ∶ 4 and n ∶ k = 14 ∶ 5, then I ∶ m ∶ n ∶ k is:
SSC GD • 2025
The LCM of 26, 34, 221 and 195 is:
SSC CGL • 2025
If cosecA - sin A = 2, then find the value of sin A.
SSC MTS • 2022
Select the number that will come in place of the question mark (?) in the following mathematical statement. 12/15 of 40% of 1800 = ? × 480
SSC CHSL • 2025
The price of a bike increases by 20% in the first year and then decreases by 10% in the second year. If its final price becomes ₹59,400, find the original price of the bike.
SSC CHSL • 2019
If x⁴ + 1/x⁴ = 194, (x > 0), then the value of (2x – 4)²is:
SSC Selection Post • 2022
The ratio of the profits of P and Q are 5 : 8. What is their investment ratio if their investment time period ratio is 4 : 5?
SSC CGL • 2022
The average weight of 49 students in a class is 39 kg. Seven of them whose average weight is 40 kg left the class and other seven students whose average weight is 54 kg joined the class. What is the new average weight (in kg) of the class?
SSC GD • 2023
A shopkeeper marks his goods 12 percent above cost price, but allows 12 percent discount for cash. His net gain or loss percent is:
SSC CGL • 2022
The bar graph shows the number of people who visited Mall A and Mall B on different days of a week. [Image] The total number of people visiting Mall A on Monday, Tuesday, Friday and sunday is what percentage of the total number of people visiting Mall B on…
SSC Selection Post • 2020
The simple interest on a certain sum of money at the rate of 8% p.a. for 9 years is ₹2,880. At what rate of interest can the same amount of simple interest be received on the same sum in 6 years?
SSC CGL • 2025
Three numbers are in the ratio 2:3:5. If their average is 100, what is the difference between the largest and the smallest number?
SSC GD • 2023
If 17% of 630 = 35% of x, then what is the value of x?
SSC CHSL • 2021
The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm², then its radius is:
SSC GD • 2021
Find the least number of five digits which is exactly divisible by 18, 21 and 24.
SSC GD • 2023
Three cubes, each of side 5 cm, are joined end to end. What is the total surface area of the resulting cuboid?
SSC GD • 2025
If the price of petrol increases from ₹90 to ₹110, by what percentage does a person have to decrease his consumption so that his expenditure on petrol remains the same (approximate to two decimals)?
SSC CGL • 2025
An alloy contains tin and copper in the ratio 5 : 3. A second alloy contains tin and copper in the ratio 3 : 1. What quantity of the first alloy must be mixed with 20 kg of the second alloy to produce a new alloy with tin and copper in the ratio 4 : 2?