SarkariPYQ

Quantitative Aptitude PYQ — Page 324

24,303 questions across SSC exams.

  1. SSC CGL • 2025

    A candy shop owner buys three kinds of candies: red, blue, and green. Red candies are purchased at 3 for ₹12, blue candies at 4 for ₹20, and green candies at 5 for ₹25. He mixes them in the ratio 1:1:2. He sells all the mixed candies at 2 for ₹12. What is…

  2. SSC CHSL • 2023

    If (x + 1/x ) = 7 and x > 1, what is the value of (x³ + 1/(x³) )?

  3. SSC CGL • 2019

    If 3sin θ = 2cos θ, then [Image] is equal to?

  4. SSC CHSL • 2025

    Two circular water tanks have radii of 5 units and 3 units, respectively. The distance between their centers is 13 units. A direct common tangent is laid to pass by both tanks without crossing through them. What is the length of this direct common tangent?

  5. SSC CHSL • 2019

    If a 10-digit number 6220x558y2 is divisible by 88, then the value of (5x + 5y) is:

  6. SSC CHSL • 2019

    The average weight of the students in a group was 75.4 kg. Later on, four students having weights 72.9 kg, 73.8 kg, 79.5 kg and 87.4 kg joined the group. As a result, the average weight of all the students in the group increased by 0.24 kg. What was the…

  7. SSC GD • 2019

    The value of discount of 18% on first article is equal to the value of discount of 13% on second article. What is the ratio of the marked price of two articles?

  8. SSC CGL • 2022

    Let x, y, x be fractions such that x 5/2 , which exceeds y by 7/4 . If x + y + z = 1 11/12 , then the ratio of (z - x) : (y - x) is:

  9. SSC GD • 2021

    The area (in m²) of a triangular field, whose sides are 85m, 85m, and 154m. is:

  10. SSC GD • 2019

    A sum of money amounted to Rs. 720 in 2 years and Rs. 792 in 3 years when interest is compounded annually. The annual rate of interest, (in %) is:

  11. SSC CHSL • 2020

    Evaluate 45 – 5 of (6.3 ÷ 9) + 7 × 0.5.

  12. SSC CGL • 2023

    Simplify the following expression. 2 + (30 - 26)² ÷ 8³⁻² × 0.5

  13. SSC CHSL • 2022

    After melting three cubes of sides 6 cm, 8 cm and 10 cm, a big cube is made. Find the side of the new cube.

  14. SSC CGL • 2021

    If one of the angles of a triangle is 74°, then the angle between the bisector of the other two interior angles is :

  15. SSC CHSL • 2025

    In triangle ABC, ∠B = 90°, and AB = 12 cm, AC = 13 cm. Find the value of sin A + cos A.

  16. SSC Selection Post • 2020

    Study the table below and answer the question. The number of students enrolled for a Vocational Course (VC) in Institutes A, B, C, D, and E during 6 years: [Table] The average number of students enrolled in VC in Institute C in six years is what percentage…

  17. SSC CHSL • 2025

    In a company, the monthly salaries of a manager, supervisor, and worker are in the ratio 7 : 5 : 3. If the supervisor earns 25,000, what is the manager’s salary?

  18. SSC GD • 2021

    A can complete a work in 25 days and B can complete it in 30 days. If they workon it together for 5 days, then the fraction of the work that is left will be:

  19. SSC Selection Post • 2023

    Two numbers are, respectively, 16% and 30% less than a third number. The ratio of the two numbers is:

  20. SSC CGL • 2018

    The wages of three labourers A, B and C are in the ratio 10 : 12 : 15. As wage is increased in the ratio 5 : 6, B's wage is increased in the ratio 3 : 4 and C's wage is increased in the ratio 3 : 5. The new ratio of the wages of A : B : C is ............

  21. SSC CGL • 2023

    The third proportional to (x²- y²) and (x - y) is:

  22. SSC CGL • 2021

    The bisector of ∠ A in ∆ABC meets side BC at D. If AB = 12 cm, AC = 15 cm and BC = 18 cm, then the length of DC is :

  23. SSC CHSL • 2021

    In ΔABC, ∠A = 66° . If is the incentre of the triangle, then the measure of ∠BIC will be:

  24. SSC CGL • 2022

    The given histogram represents the marks of students in Mathematics test of a certain class. The total number of students in 350 and the maximum marks of the test are 200. Study the histogram and answer the question that follows. [Image] The total number of…

  25. SSC CGL • 2024

    A boat can travel 78 km upstream and back in a total of 32 hours. It can travel 15 km upstream and 52 km downstream in a total of 9 hours. How much distance will the boat cover in 12 hours in still water?

  26. SSC CGL • 2025

    A wheelchair ramp needs to reach a platform that is 1.5 meters high. If the ramp is designed to make an angle of 30° with the level ground, what is the length of the ramp?

  27. SSC CGL • 2023

    Evaluate the following: √(2 + √(2+√(2+2 cos 8 θ)))

  28. SSC CGL • 2023

    A train 900 m long is running at 108 km/h. How long will it take to clear a 900 m long platform completely?

  29. SSC CGL • 2021

    Eighteen men can complete a work in 14 days. Three women do as much as two men. Five men and six women started the work and continued for 4 days. Subsequently 3 more men joined the group. In how many total days was the work completed ?

  30. SSC CHSL • 2024

    Which two combined have the same number of students as the other?

  31. SSC CHSL • 2025

    A right prism has a rectangular base of dimensions 6.5 cm by 4.2 cm, and its height is 12 cm. Calculate the total surface area of the prism.

  32. SSC Selection Post • 2020

    A certain quantity of rice was bought for ₹ x and sold for ₹ y, thereby earning a profit of 25%. Had the cost price been 20% less and the selling price has been ₹58 less, a profit of 20% would have been earned. Find the value of x.

  33. SSC CHSL • 2024

    P and Q can do a work in 12 days and 9 days, respectively. They both worked together and earned ₹63,000. The share of P (in ₹) is:

  34. SSC Selection Post • 2019

    In ∆ABC, ∠C = 70°. The bisectors of ∠A and ∠B meet BC and AC in points D and E, respectively. AD and BE intersect each other at P. What is the measure of ∠DPB?

  35. SSC CHSL • 2025

    A chord of a circle measures 16 cm in length, and the perpendicular distance from the center of the circle to the chord is 6 cm. What is the radius of the circle?

  36. SSC CGL • 2020

    The value of (1 - 2Sin²θ Cos²θ)/(Sin⁴θ + Cos⁴θ) - 1 is:

  37. SSC CGL • 2020

    If 2 sinθ – 8 cos²θ + 5 = 0, 0ᵒ < θ < 90ᵒ, then what is the value of (tan 2θ + cosec 2θ) ?

  38. SSC CGL • 2024

    The single discount equivalent to the discount series of 15%, 20%, and 5% is:

  39. SSC GD • 2021

    The value of (11/9times11/20div21/38-1/3)times3/8-(2/3div3/4 \ of \ 5/9)div31/5+11/6 is:

  40. SSC CHSL • 2023

    Find the fourth proportion to 0.24, 0.6, and 20.

  41. SSC CHSL • 2025

    The ratio of the interest received when Rs. (x + 500) is invested at 32% p.a. simple interest for 4 years to the interest received when Rs. (x - 500) is invested at 20% p.a. compound interest, compounded annually for 2 years, is 64:11. Find the value of 'x'.

  42. SSC CHSL • 2025

    If 4cosA + 3secA = 4√3, 0°

  43. SSC CGL • 2024

    If cot²θ-2 cos²θ=0, (0^°, then the value of θ is:

  44. SSC GD • 2019

    What is the value of [88 - 44 ÷ (22 × 4) of (1/2 - 1/4 ÷ 1/8)] = ?

  45. SSC CGL • 2019

    The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years from now, the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages?

  46. SSC MTS • 2022

    What will be the average of all the prime numbers between 9 and 22?

  47. SSC CGL • 2019

    If 8x³ - 27y³ = (Ax + By)(Cx² - Dy² + 6xy), then (A + B + C - D) is equal to ?

  48. SSC CHSL • 2019

    What is the ratio of royalties earned in the following cases - By X for sale of books in India in 2013 and 2014 and By Y for sale of books abroad in 2015 and 2016?

  49. SSC CHSL • 2022

    If (x + 1/x ) = 11/5 , what is the value of (x³ + 1/(x³) )?

  50. SSC CGL • 2021

    simplify : [Image] ,0° θ