Quantitative Aptitude PYQ — Page 130

24,303 questions across SSC exams.

  1. SSC Selection Post • 2023

    Rekha has two laptops of the same kind. She sold one of them at ₹32,000 and incurred a loss of 20%. At what price (in ₹) should she sell the second laptop to gain a profit of 20%?

  2. SSC CHSL • 2023

    Evaluate: 8 sec² 45° + 20 sin ²30° + 15 tan 45°

  3. SSC CHSL • 2025

    A started a business with ₹30,000. B joined after x months with ₹40,000. At the end of the year, their profit-sharing ratio is 3:2. What is the value of x?

  4. SSC Selection Post • 2023

    The cost price of milk is increased to ₹62 from ₹60. The milkman sold milk at 10% profit earlier. What is his profit% now if he sells milk at the same rate?

  5. SSC CGL • 2024

    The ratio of boys to girls initially in a college is 5 : 6. If 40 boys leave the college and 50 girls join the college, the ratio will become 8 : 11. Find the number of girls (initial) in the college.

  6. SSC CHSL • 2023

    Find the value of the expression (x²-1)/(x-1) - (x²-9)/(x-3)

  7. SSC CHSL • 2022

    In the following figure, ∆ABC is an inscribed triangle as shown and DE is a tangent to the circle at C. Which of the angles from the given options is necessarily equal to ∠ACD? [Image]

  8. SSC CHSL • 2022

    The sum of the length, breadth and depth of a cuboid is 23 cm, and its diagonal is 5 √(7) cm. Its surface area is:

  9. SSC Selection Post • 2022

    In △ABC, the bisector of ∠B meets side AC at D. If AB = 16 cm, BC = 9.6 cm, and AC = 22.4 cm, then what is the length (in cm) of AD?

  10. SSC CGL • 2024

    If 7 cos A = 6, then the numerical value of cosec A + cot Aover cosec A - cot A is:

  11. SSC CHSL • 2025

    The average of 7 numbers is 81. If the average of the first 3 is 87 and last 3 is 78, what is the 4th number?

  12. SSC CHSL • 2019

    In a ΔABC, D and E are two points on side AB and BC, respectively such that AD : DB = 2 : 3 and DE || AC. If the area of ΔBDE is equal to 18 cm², then what is the area(in cm²) of ΔABC?

  13. SSC CGL • 2023

    D and E are points on the sides AB and AC, respectively, of △ABC such that DE is parallel to BC and AD: DB-7:9. If CD and BE intersect each other at F. then find the ratio of areas of △DEF and △CBF.

  14. SSC CHSL • 2025

    If p=1+√3, q = 1−√3, Find the value of (p² + q²)

  15. SSC Selection Post • 2020

    Without stoppages, a passenger train runs at an average speed of 120 km/h, whereas with stoppages, it runs at an average speed of 80 km/h. What is the total time taken by the train for stoppages on a route of length 480 km?

  16. SSC CHSL • 2020

    Mohan covers a distance of 2.5 km by scooter at the rate of 30 km/h. The time taken by Mohan to cover the given distance in minutes is:

  17. SSC CHSL • 2025

    If profit earned is 25% of the selling price, what is the profit percentage on cost price?

  18. SSC CGL • 2020

    In the given figure, the measure of ∠BAC is: [Image]

  19. SSC GD • 2023

    Mohan and Sohan are going from same place at 8 km/h and 9 km/h respectively. If Mohan and Sohan are going in the same direction, then what is the distance between Mohan and Sohan after 4.5 h ?

  20. SSC Selection Post • 2022

    Study the given graph and answer the question that follows. [Image] The total rice production of state A in 2016 and 2017 is what percentage of the total rice production of state C in 2018 and 2019?

  21. SSC CGL • 2022

    A sum of money was borrowed and paid back in two equal annual instalments of Rs980, allowing 4% compound interest. The sum ( in Rs, to nearest tens) borrowed was :

  22. SSC CGL • 2022

    The volume of the hemisphere is 19,404 cm³. The radius of the hemisphere is ___.

  23. SSC CHSL • 2024

    Two numbers are, respectively, 30% and 40% more than the third number. The ratio of the second number to the first number is:

  24. SSC CGL • 2024

    The price of an item is increased twice successively. The final price is ₹2,295 and initial price was ₹1,000. The percentage increment the second time was twice the percentage increment the first time. By what percentage was the price increased the second…

  25. SSC CGL • 2025

    If x = √(2) + 1, find x²- 2.

  26. SSC CHSL • 2023

    Two circles with centres A and B touch each externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:

  27. SSC GD • 2024

    Which of the following number is divisible by 9?

  28. SSC GD • 2024

    Ramesh starts from a place J and reaches the place K in 28 hours. He travels 2/5 distance at the speed of 10 km/hr and the remaining distance at the speed of 20 km/hr. What is the distance between J and K?

  29. SSC CHSL • 2023

    The bar graph represents the number of challans in 9 states of India. [Image] The percentage of people without a license challan in Delhi is how much higher than that in Uttarakhand and Himachal Pradesh together?

  30. SSC CGL • 2023

    For congruent triangles ΔABC and ΔDEF, which of the following statements is correct?

  31. SSC CHSL • 2020

    If xSin³θ + yCos³θ = Sinθ Cosθ and xSinθ = yCosθ, then find the value of x² + y².

  32. SSC Selection Post • 2019

    What is the discount percentage equivalent to three successive discounts of 12%, 10% and 5%?

  33. SSC CHSL • 2025

    If sin(2x + 50)° = cos(2y - 50)°, such that 0° tan(x + y).

  34. SSC CHSL • 2024

    Arun and Bhaskar run a race of 3 km. First, Arun gives Bhaskar a head start of 400 m and beats him by 30 seconds. While coming back, Arun gives Bhaskar a lead of 2.5 minutes and gets beaten by 500 m. What is the difference between the times in minutes in…

  35. SSC Selection Post • 2022

    A and B run on a circular path of perimeter 1200 m at different speeds. If they start at the same time and from the same place but run in opposite directions, they meet for the first time in 3 minutes. If the speed of B is 10.8 km/h, then what is the speed…

  36. SSC Selection Post • 2023

    13 men can complete a work in 7 days. After 3 days, 4 more men joined them. How many days will they now take to complete the remaining work?

  37. SSC CGL • 2022

    If the angles of a triangle are (x - 46)°, (x + 96)° and 8x°, then what is the value of 2x?

  38. SSC GD • 2023

    A thief is observed by a policeman from a distance of 420 m. The thief starts running and the policeman chases him. The policeman and the thief run at a speed of 25 km/h and 20 km/h, respectively. What is the distance between them after three minutes?

  39. SSC Selection Post • 2023

    When 151314 is divided by 15, the remainder is:

  40. SSC MTS • 2022

    The sum of 12 numbers is 1080. What is the average of these 12 numbers?

  41. SSC GD • 2019

    A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?

  42. SSC GD • 2023

    A can paint a painting in 12 days. B can paint the same in 8 days. C can paint the same in 10 days. Find the (approximate) number of days in which the painting can be painted by A if he is accompanied by both B and C on alternate days and A starts painting…

  43. SSC CGL • 2023

    A man can finish a work in 10 days and a woman can finish it in 12 days. In how many days will the work be finished by a man and a woman, working together every day?

  44. SSC CHSL • 2019

    An article having marked price, Rs. 900, was sold for Rs. 648 after two successive discounts. The first discount was 20%. What was the percentage rate of the second discount?

  45. SSC CGL • 2025

    If the angle subtended by a chord at the center is 150°, what is the angle subtended at a point on the circle in the same segment?

  46. SSC MTS • 2022

    The average of a certain set of 'b' numbers is 'a', and the average of a certain set of 'a' numbers is 'b'. What is the average of all the numbers taken together?

  47. SSC GD • 2024

    If 80 percent of total articles are sold at a profit of 20 percent and remaining articles are sold at a loss of 30 percent. then what will be the overall profit percentage?

  48. SSC CHSL • 2023

    A sum amounts to Rs.6,120 in 2 years and Rs. 7,340 in 3 years at compound interest. The sum (in) is (rounded off to 2 decimal places)

  49. SSC CGL • 2020

    A divisor is 15 times the quotient and 3 times the remainder. If the remainder is 40, find the dividend.

  50. SSC CHSL • 2024

    Study the given graph and answer the following question. The graph shows the profit percentage earned by two companies - A and B over a period of six years. [Image] What is the percentage increase in profit percentage of company B in the year 2014 from the…