SarkariPYQ

Quantitative Aptitude PYQ — Page 146

24,303 questions across SSC exams.

  1. SSC CGL • 2025

    By an external point P, two tangents are drawn to a circle, touching the circle at points A and B. The chord of contact AB subtends an angle θ at the center of the circle O. What is the ∠APB between the tangents in terms of θ?

  2. SSC CHSL • 2023

    A train traveling at 80 km/h crosses another train traveling in the same direction at 26 km/h in 30 seconds. What is the combined length of both the trains?

  3. SSC CGL • 2025

    The distance between the centers of two circles is d. The lengths of their direct and transverse common tangents are L and M, respectively. If L²+ M²= 338 and the sum of the squares of their radii is r₁²+ r₂²= 162, what is the value of d?

  4. SSC CGL • 2022

    A certain sum of money becomes triple of itself in 26 years at simple interest. In how many years it will becomes five times of itself?

  5. SSC GD • 2025

    Find the fourth proportional to 20, 24 and 30.

  6. SSC CGL • 2021

    If (2x + y)³ - (x - 2y)³= (x + 3y) [Ax² + By² + Cxy], then what is the value of (A + 2B + C)?

  7. SSC CHSL • 2025

    A trader buys 200 mixed stationery boxes at a rate of ₹120 each. He spends ₹1,800 on transportation and packaging. He sells 100 boxes at ₹150 each and the remaining at ₹130 each. What is his total profit percentage?

  8. SSC CHSL • 2019

    Two concentric circles are of radii 15 cm and 9 cm. What is the length of the chord of the larger circle which is tangent to the smaller circle (in cm)?

  9. SSC Selection Post • 2022

    A sold an article to B at 25% profit. B sold it to C at a loss of 12%. If C paid Rs.1,650, then how much did A pay for it?

  10. SSC GD • 2025

    Evaluate: (-9) - (-60) ÷ (-15) + (-4) × 7

  11. SSC Selection Post • 2024

    If x + 1over x = 15, then the value of ( x²+1over x² ) is:

  12. SSC Selection Post • 2022

    A trader earns a 29% profit by selling an article. If he increases the selling price by ₹90, his gain percent increases to 37%. What is the selling price (in ₹) of the article if he sells it at a 20% profit?

  13. SSC CGL • 2016

    A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352. The sum lent at 8% is ?

  14. SSC GD • 2019

    Study the following table and answer questions: Number of students studying in five schools of a city [Table] The total number of girls in schools B and C is what percent less than the total number of boys in schools A and D?

  15. SSC CGL • 2022

    A 240 m long train crosses a 360 m long tunnel in 30 seconds. What is the speed of the train (in km/h)?

  16. SSC CGL • 2019

    Three numbers are such that if the average of any two of them is added to the third number, the sums obtained are 164, 158 and 132 respectively. What is the average of the original three numbers?

  17. SSC GD • 2023

    The Rajdhani train travels in a straight line at a constant speed of 75 km/h for a particular distance 'd' and then travels another distance equal to '2d' at a constant speed of 100 km/h in the same direction as earlier. Find the average speed of the train…

  18. SSC GD • 2025

    Manoj has ₹1612 with him. He divided it amongst his sons Anand and Anil and asked them to invest it at 8% rate of interest compounded annually. It was seen that Anand and Anil got same amount after 13 and 14 years respectively. How much (in ₹) did Manoj give…

  19. SSC CHSL • 2022

    If a - b = 3 and a³ - b³ = 999, then Find the value of a² - b².

  20. SSC CGL • 2025

    A cycle wheel has radius 28 cm. What percentage of its circumference is covered in one-fifth of a turn? (Use π = 22/7)

  21. SSC CHSL • 2021

    If 7A = 4B = 14C, then what is A : B : C?

  22. SSC CGL • 2019

    In ΔABC, D is a point on AC such that AB = BD = DC, if ∠BAD = 70°, then the measure of (∠B + ∠C) is:

  23. SSC CGL • 2024

    From the given numbers A, B, C and D, which number is NOT divisible by 11? A = 712712 B = 177210 C = 64614 D = 756148

  24. SSC CGL • 2022

    The sides AB and AC of ∆ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 88° then the measure of ∠P is:

  25. SSC GD • 2024

    If 25 workers can build a wall in 10 days, how many days will it take for 20 workers to build a similar wall?

  26. SSC GD • 2023

    A triangle has two equal sides, and the third side is 1.5 times any of these sides. If the perimeter of the triangle is 14 units, then the area of the triangle is ____ square units.

  27. SSC CGL • 2023

    If cos²θ = 3/4 , where θ is an acute angle, then the value of sin( θ + 30°) is:

  28. SSC CHSL • 2020

    If tan a = 2/√(13), then the value of [Image] is:

  29. SSC CHSL • 2023

    A man invested ₹25,400 on simple interest for 9 years to obtain a total amount of ₹67,790 at a certain annual rate of interest. What was the rate of interest (rounded off to 2 decimal places) to obtain the above amount?

  30. SSC Selection Post • 2022

    The ratio of the incomes of A and B is 2 : 3 and the ratio of their expenditures 5 : 7. If 7 times the income of A is equal to 6 times the expenditure of B, then what is the ratio of the savings of A and B?

  31. SSC CHSL • 2023

    The angle subtended by a chord AB on the circumference of a circle is 90°. If the length of chord AB is 16 cm, then what will be the radius of this circle?

  32. SSC Selection Post • 2020

    The average of 21 numbers is 66. The average of the first 9 numbers is 63.7 and that of the last 13 numbers is 69.9. If the 9^(th) number is excluded, then what is the average of the remaining numbers?

  33. SSC GD • 2019

    Two pipes X and Y can fill an empty tank in ‘t’ minutes. If pipe X alone takes 6 minutes more than ‘t’ to fill the tank and Y alone takes 54 minutes more than ‘t’to fill the tank, then X and Y together will fill the tank in:

  34. SSC GD • 2024

    What is the value of 42 × 3 + 25 × 3 - 14 ÷ 7 x 5 ?

  35. SSC CGL • 2024

    In a circle of radius 5√13 cm, a chord is at a distance of 10 cm from the center of the circle. Find the length (in cm) of the chord.

  36. SSC GD • 2024

    32 kg of sugar costing Rs. 24 per kg is mixed with 24 kg of sugar costing Rs. 31 per kg. What is the cost of the mixture?

  37. SSC GD • 2024

    Two boys are standing on the opposite ends of a 540 metres long bridge. If they start walking towards each other at same time at the speed of 18 metres/minute and 12 metres/minute respectively, then in how much time will they meet each other?

  38. SSC CGL • 2017

    The radii of two concentric circles are 68 cm and 22 cm. The area of the closed figure bounded by the boundaries of the circles is:

  39. SSC Selection Post • 2024

    A man sells a cow for Rs.22,000 and gains 10%. At what price should he sell the same cow, in order to gain 14%?

  40. SSC CHSL • 2021

    If a + b + c = 4, ab + bc + ca = -14 and abc = -18, then the value of √(4a³+4b³+4c³-36) will be:

  41. SSC CGL • 2019

    Two chords AB and CD, of lengths 5 cm and 11 cm respectively, are parallel and are on the same side of the centre O of a circle. If the distance between the chords is 3 cm, then what is the diameter of the circle?

  42. SSC CHSL • 2022

    The value of a machine depreciates every year by 10%. If its present value is ₹35,000, then the value of the machine after 2 years will be:

  43. SSC CGL • 2023

    The monthly income of a person was Rs. 80,000 and his monthly expenditure was Rs. 45,000. Next year, his income increased by 16% and his expenditure increased by 8%. Find the percentage increase in his savings (correct to 2 decimal places).

  44. SSC CHSL • 2025

    A and B start a business with ₹2000 and ₹3000 respectively. After 1 year, total profit is ₹1000. Find B’s share.

  45. SSC GD • 2024

    After a discount of 28 percent an article is sold for Rs. 1008. What is the marked price of the article?

  46. SSC MTS • 2019

    An inlet pipe A originating from a river can fill a reservior in 30 days.And an outlet pipe B,which is capable of emptying the completely filed reservoir in 50 days ,drains out the water from the reservoir to an irrigation canal.The pipes are opened on…

  47. SSC CHSL • 2024

    In an election, there were three candidates. The first candidate got 40% votes and the second candidate got 35% votes. If the total votes in the election are 50,000, find the number of votes got by the third candidate.

  48. SSC Selection Post • 2023

    In 46.5 weeks, Ram raised Rs. 2,170 for science research. How much money will he raise in 30 weeks?

  49. SSC CHSL • 2023

    The table given below shows the number of pens sold by two shopkeepers P and Q in 5 months. [Table] J1 = The value of average number of pens sold by P in all five months. J2 = The value of average number of pens sold by Q in all five months. What is the…

  50. SSC CHSL • 2025

    A can complete a task in 10 days, while B can finish the same task in 12 days. They decide to work alternately, with A starting the work on the first day. How many days will it take for them to complete the entire task?