Quantitative Aptitude PYQ — Page 274
24,303 questions across SSC exams.
SSC CGL • 2023
In the following figure, the circles with centres B and D have radii 4cm and x cm, respectively. AC is a tangent to both circles. Find the values of x. [Image]
SSC CHSL • 2025
In two concentric circles, the radius of circle C₂ is less than the radius of circle C₁. If AB is a chord of circle C₁ of length 16 cm, touching circle C₂ at point P, find the length of BP.
SSC CHSL • 2025
A, B, and C invested in a business in the ratio of 5:3:2. After 6 months, A doubled his investment, B increased his investment by 50%, and C kept his investment the same. If the total profit at the end of 1 year is Rs. 90,000, how much will B receive?
SSC CGL • 2023
In the given figure, if AD⊥BC, AC = 26 units, CD = 10 units, BC= 42 units, ∠DAC = x and ∠B = y, then the value 6/cosx-5/cosy+8tany [Image]
SSC Selection Post • 2019
If a person sells a pen drive for ₹3192, making a profit of 33%, then the cost price (in) of the pen drive is:
SSC CGL • 2023
In a bag containing red, green, and blue pens. The ratio of red, blue, and green pens, in the given order, was 7 : 4 : 9. If the total number of pens in the bag was 320, how many of them were red?
SSC CGL • 2022
If a nine - digit number 485x3678y is divisible by 72, then for the smallest value of x, the value of (2y - 3x) is:
SSC CGL • 2025
An online retailer offers a Rs. 150 discount on an item originally priced at Rs. 1200. What percentage discount is being offered?
SSC CGL • 2023
Two circles of the same radius 6 cm, intersect each other at P and Q. If PQ = 10cm, then what is the distance between the centers of the two circles?
SSC Selection Post • 2020
The income of A is 80% of B's income, and the expenditure of A is 75% of B's expenditure. If A's income is 90% of B's expenditure, then the savings of A is x% more than that of B. What is the value of x?
SSC MTS • 2022
If 2 : X :: 4 : 28, then find the value of x.
SSC CHSL • 2025
An amount of ₹8,000 is invested at 10% compound interest. What will be the amount after 3 years?
SSC Selection Post • 2024
The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 12 cm, 16 cm, and 18 cm, then the total surface area of the cube is:
SSC Selection Post • 2019
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
SSC CGL • 2020
If (2 SinA + CosecA) = 2√2, 0ᵒ < A < 90ᵒ then the value of 2(Sin⁴ A + Cos⁴ A) is :
SSC CGL • 2025
If sin A = 3over5 and A lies in the second quadrant, find the value of (sin A + cos A)².
SSC CGL • 2022
The difference between the cost price and the selling price of a pair of shoes is Rs.1,200. If the profit is 15%, and the selling price is:
SSC CHSL • 2020
The average of 35 consecutive natural numbers is N. Dropping the first 10 numbers and including the next 10 numbers, the average is changed to M. If the value of M² – N² = 600, then the average of 3M and 5N is:
SSC CHSL • 2020
(sin θ + cos θ)² = 2, 0ᵒ
SSC CGL • 2022
The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?
SSC CGL • 2016
A Number is increased by 20%. To get back to the orignal number, the increased number is to be reduced by
SSC Selection Post • 2022
A sum of money doubles itself in 5 years at a certain rate of compound interest. In how many years will it be sixteen times at the same rate?
SSC Selection Post • 2022
Find the greatest number that exactly divides 8, 12, 20, and 24.
SSC MTS • 2022
By selling an article for ₹1,200, a shopkeeper suffered a loss of 20%. What was the cost price of that article?
SSC Selection Post • 2022
If (x + 10)% of 300 is 57.5% more than x % of 250, then 15% of x is what percentage less than 20% of (x + 13)?
SSC GD • 2021
P, Q and R can complete a work in 10 days, 20 days and 30 days, respectively, working alone. How soon can the work be completed if P is assisted by Q and R on alternate days?
SSC CHSL • 2025
In △ABC, D and E are points on sides AB and AC respectively, such that DE ∥ BC. If AD = 3 cm, DB = 6 cm, and AE = 4 cm, find EC.
SSC Selection Post • 2022
The speeds of three cars are in the ratio of 5 : 4 : 3. What is the ratio between the time taken by these cars to cover the same distance?
SSC CHSL • 2025
Find the ratio of volumes of a sphere to its hemisphere of same radius.
SSC CGL • 2024
In B.Com, there are 60% girls and in B.Sc. C.Sci, there are 40% boys. The total number of girls who took admission in B.Sc C.Sci and B.Com courses is what percentage of the total students admitted to the university?
SSC MTS • 2019
The sum of Rs.1500 is invested at simple interest for x months. If the rate of interest is x/8% per annum, then the sum grows to Rs.1590. What is the value of x?
SSC CGL • 2025
An individual invested certain amounts in three different schemes P, Q, and R, at simple interest rates of 7% p.a., 9% p.a., and 11% p.a., respectively. If the total interest accrued in one year was ₹2520 and the amount invested in Scheme R was 250% of the…
SSC CGL • 2023
R lends some money to S on which S pays ₹17,000 more to R. S lends the same money to T, on which T pays 8.5% more to S. What should be the minimum amount (in ₹) that S must borrow so that he does not incur any loss in the process?
SSC CGL • 2025
A hollow hemisphere has uniform thickness. Its inner radius is r, and outer radius is R. If R = 2r, find the ratio of outer to inner curved surface areas.
SSC Selection Post • 2020
If the value of (a+b-3)²+(b+c-2)²+(c+a-5)²=0, then the value of √(()b+c)ᵃ +(c+a)ᵇ is:
SSC CHSL • 2024
Find the capacity of an overhead cylindrical water tank, in liters, whose radius is 2.1 m and height is 6.3 m.
SSC CGL • 2019
A person sells an article at a profit of 12% If he had purchased it for 12% less and sold it for Rs. 9 less, he would have gained 27%. What is the original cost price of the article?
SSC CHSL • 2023
The bar graplı given below shows the cost price and selling price of four articles L, M, N and O. [Image] Loss = Cost price - Selling price Which of the following sequences is correct for loss?
SSC CHSL • 2022
Subir claimed to sell his items at only 5% above the cost of production, but used a weight that had 1 kg written on it, though it actually weighed 960 grams. What was the actual profit percentage earned by Subir?
SSC GD • 2021
The prices of two woolen jackets A and B are in the ratio 7:9. If jacket A cost ₹380 less than jacket B, then find the price of jacket B.
SSC CHSL • 2022
When two numbers are separately divided by 44, the remainders are 11 and 38, respectively. If the sum of the two numbers is divided by 44, then the remainder will be:
SSC CHSL • 2025
At a cultural club, 4 events were organized. The average attendance for the first two events was 152.5 people. The next two events had an average of 198.5 people. Later, due to a correction, it was found that the attendance at one of the first two events was…
SSC CHSL • 2025
A man lends out a sum of money by putting 40% of it at 7.5% p.a. simple interest and the remaining 60% at 11.25% p.a. simple interest.After 2½ years (2.5 years) his total interest income is ₹6,825. What was the original sum (principal) he lent?
SSC CHSL • 2023
In a 5 km race S gave a 500 m head start to T. If they finished the race at the same time and the speed of T is 13.5 km/h, the speed of S is:
SSC CGL • 2024
Vipul spends 30% of his monthly income on rent, 60% of the remaining on groceries, and 40% of the remaining on others. If he saves ₹ 7056 in a month, then how much (in ₹) does he spend on groceries?
SSC CGL • 2025
Athar can do a certain work in the same time in which Baban and Chetan together can do it. If Athar and Baban together could do it in 10 days and Chetan alone in 50 days, then Baban alone could do it in:
SSC CHSL • 2024
What will be the amount due on ₹12,000 in 2 years when the rate of simple interest on successive years is 9% and 10%, respectively?
SSC CGL • 2023
What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17%?
SSC MTS • 2022
The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream
SSC CGL • 2020
A man wanted to sell his bat at a discount of 8%. His brother who was a cricketer wanted to buy the bat, so the man sells it at a discount of 10%. In this deal, the man reduce Rs.70 in profit. What was the market value of the bat?