Quantitative Aptitude PYQ — Page 483
24,303 questions across SSC exams.
SSC CPO • 2020
A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at point R, P and Q. respectively. If AQ = 3.5 cm, PC = 4.5 cm, and BR = 7 cm, then the perimeter ( in cm) of the triangle ABC is :
SSC CPO • 2020
A person travels a distance of 300 km to his destination and then returns to the starting point. The time taken by him for the onward journey towards his destination is 5 hours more than the time taken for the return journey towards the starting point. If he…
SSC CPO • 2023
An article is sold at a discount of 25% and an additional discount of 28% is allowed on cash payment. If Ramendra purchased the article by paying ₹10,800 in cash, then what was the marked price of the article?
SSC CPO • 2024
The cost price of 36 articles is the same as the selling price of N articles. If the profit is 20%, then the value of N is:
SSC CPO • 2019
In the figure, in ΔPQR, PT is perpendicular to QR at T and PS is the bisector of ∠QPR. If ∠PQR = 78º, and ∠TPS = 24º, then the measure of ∠PRQ is: [Image]
SSC CPO • 2019
The value of [Image] is .......
SSC CPO • 2025
In a circle, chord AB subtends an angle of 80° at the center. What is the measure of the angle subtended by the same chord at any point C on the circumference, on the same side as the arc?
SSC CPO • 2024
Simplify 8.2 + 2.6 + 3.2 - 4.5 ÷ 0.9 × 1.2.
SSC CPO • 2019
Pipes A and B are emptying pipes and can empty a tank in 6 hours and 16 hours respectively. C is a filling pipe. All three pipes were opened together. They took 80 minutes to empty (5/18)^(th)of the tank. Pipe C alone can fill the tank in:
SSC CPO • 2022
What is the value of 12 - 8 ÷ 2 - {16 of (-2) + (3 × 5 - 4)}?
SSC CPO • 2023
What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 percent per annum interest compounded yearly?
SSC CPO • 2020
P and Q can do the work together in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-thirds part of the same work?
SSC CPO • 2025
Solve: 2/5 + (0.75)²
SSC CPO • 2023
Ramesh gives fifteen per cent additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is ₹12,750, then find the marked price of the sofa set.
SSC CPO • 2024
The secant CD intersects the circle at E and CF is tangent to the circle at F. If the length of the secant CD is equal to 20 cm and the length of tangent CF is 15 cm, find the length of the chord DE.
SSC CPO • 2024
If L is the mid-point of the side YZ of XYZ, and the area of XYL is 13 cm2 , then the area (in cm2 ) of XYZ is _.
SSC CPO • 2022
A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the…
SSC CPO • 2019
If 66(2/3)% of 75% of 1/8th of a certain number is 179, then 33(1/3)% of 3/4th of that number is?
SSC CPO • 2019
I purchase 100 kg of tea and sell it for a profit to the extent of what I would have paid for 40 kg. What is my profit percentage?
SSC CPO • 2019
Two different finance companies declare a fixed annual rate of interest on the amount invested by investors with them. The interest rate declared by these companies can vary from year to year depending on the variation in the country’s economy and the…
SSC CPO • 2019
The area (in m²) of a circular path of uniform width x meters surrounding a circular region of diameter d meter is .........
SSC CPO • 2022
The following table shows the number of centuries scored by cricketers in the past 5 years. [Table] The total number of centuries scored by which two players in the mentioned years are the same?
SSC CPO • 2020
The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter(in cm) of the rectangle is:
SSC CPO • 2024
The value of 15 - 16 ÷ [ 4 + (5 + 7) ÷ 3] is equal to :
SSC CPO • 2022
What is the positive value of the following expression? √[36 ÷ 30 of [25 × 4 ÷ 4 of[29 - (8 - 11) ÷ (9 × 5 ÷ 5 of 3)]]
SSC CPO • 2025
A point P lies outside a circle with center O and radius r = 6 cm. Two tangents PA and PB are drawn from P to the circle, and the angle between the tangents ∠APB = 60°. What is the distance from point P to the center O?
SSC CPO • 2025
From a point 13 cm away from the center of a circle, a tangent of length 12 cm is drawn. Find the radius of the circle?
SSC CPO • 2024
The Value of 29 - [(48 ÷ 12) + 2 × (8 ÷ 4 + 4 ) ] is equal to :
SSC CPO • 2020
If the numerator of a fraction is increased by 60% and the denominator is increased by 40% then the resultant fraction is 16/63 . The original fraction is :
SSC CPO • 2024
Ashish covers 72 km at a speed of 45 km/h by bike, 28 km at a speed of 4 km/h by bicycle, and another 160 km at a speed of 20 km/h by car. Find his average speed (in km/h) for the whole journey. (Rounded off to two decimal places)
SSC CPO • 2023
If tan A = 2/5 find the value of (sec² A)/(cosec² A) .
SSC CPO • 2022
The third proportion of 0.024 and 0.12 is:
SSC CPO • 2022
The average of 15 results is 21. The average of the first 7 of those is 21 and the average of the last 7 is 20. What is the 8th result?
SSC CPO • 2024
Rajan and Rajat can do a work in 64 days and 48 days, respectively. Starting with Rajat, they work on alternate days. In how many days will the work be completed?
SSC CPO • 2025
In triangle ABC, if the coordinates of the centroid are (3,4), and two vertices are (1,2) and (5,6), find the third vertex.
SSC CPO • 2022
What is the positive value of the following expression? beginarrayl √(36 ÷ 15 of 2 of [25 × 4 ÷ 4 of \29-(8-11) ÷(9 × 5 ÷ 5 of 3)\]) \\ endarray
SSC CPO • 2019
The number of students whose height is in the class interval 175 - 180 is what percent less than the number of students whose height is in the class interval 160 - 165?
SSC CPO • 2023
Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder?
SSC CPO • 2025
If the volume of a cone is 9856 cm³ and the diameter of its base is 14 cm, what is the height of the cone?
SSC CPO • 2019
Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8, and 12, the remainder in each case is 2. The sum of the digits of x is:
SSC CPO • 2025
A jar is filled with 3/5 of a solution. When 3.2 liters of solution are added, it becomes 7/8 full. What is the total capacity of the jar?
SSC CPO • 2019
How many natural numbers up to 2001 are divisible by 3 or 4 but not by 5?
SSC CPO • 2023
Find the fourth proportional of 22, 66, and 11.
SSC CPO • 2023
Three candidates contested an election and won 1136, 7636 and 11628 votes, respectively. What percentage of the total votes did the winning candidate get?
SSC CPO • 2023
Find the greatest number which when divides 261, 853, and 1221, leaves a remainder of 5 in each case.
SSC CPO • 2024
Study the given table and answer the question that follows. The table shows the production of five types of cars P, Q, R, S and T by a company from the year 1989 to 1994. [Table] In which year was the total production of cars of types P and Q together equal…
SSC CPO • 2019
If the ratio of the number of boys to that of girls in school B is 7 : 6 and the ratio of the number of boys to that of girls in school D is 4 : 5, then what is the ratio of the number of boys in B to that of girls in D?
SSC CPO • 2020
The students of a class donated a sum of Rs 2,209. If each students donated as many rupees as the number of students in the class, then the number of students in the class is :
SSC CPO • 2022
In a shop, a discount of 8% is provided. If the total payable after the discount is more than Rs. 5,000 and an additional discount of 20% is provided, then determine the final amount to be paid by the customer, if he buys 12 products each with a price of Rs…
SSC CPO • 2020
A person sold an article at a loss of 16%. Had he sold it for ₹660 more, he would have gained 8%. If the article is sold at ₹3,080, then how much profit percentage is gained?