Quantitative Aptitude PYQ — Page 352

24,303 questions across SSC exams.

  1. SSC CHSL • 2021

    When a positive integer 'n' is divided by 12, the remainder is 5. What will be the remainder if 8n²+7 is divided by 12?

  2. SSC CGL • 2023

    Expand and simplify the algebraic expression: (x - 5)² + (x + 3)² + 4x

  3. SSC CGL • 2019

    If (8x³ - 27y³) ÷ (2x - 3y) = (Ax² + Bxy + Cy²), then the value of (2A + B - C) is:

  4. SSC CGL • 2020

    An article was sold at a gain of 18%. If it had been sold for Rs. 49 more, then the gain would have been 25%. The cost price of the article is :

  5. SSC MTS • 2022

    What is the value of (([5/7of1/12times1/4-1/2times1/8)+5/4times8/15-2/3])/(1/2div1/4+1/2)

  6. SSC CGL • 2022

    The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

  7. SSC CGL • 2020

    The income of A is 60% less than that of B, and the expenditure of A is equal to 60% of B’s expenditure. If A’s income is equal to 70% of B’s expenditure, then what is the ratio of the saving of A and B?

  8. SSC CGL • 2025

    If the ratio of capital of A and B is 3:2 and the time for which they invested is in the ratio 2:3, then the profit ratio is:

  9. SSC GD • 2019

    The median of 31, 25, 17, 23, 45 and 59 is:

  10. SSC CHSL • 2025

    A and B invested Rs. 15,000 and Rs. 25,000, respectively. After 6 months, A withdrew Rs. 5,000. If the total profit after 1 year is Rs. 60,000, how much does A receive?

  11. SSC CGL • 2023

    Simplify the given expression. (432times432+247times247-432times247)/(432times432times432+247times247times247)

  12. SSC CHSL • 2025

    A sum becomes Rs. 11,760 in 6 years at r% simple interest. If the interest rate had been (r + 5)% p.a., the amount would have been Rs. 13,320. Find the principal.

  13. SSC CHSL • 2025

    If A purchases items worth ₹2,050 at a discount rate of 26%, what will be his total savings?

  14. SSC Selection Post • 2022

    ABC Ltd is selling laptops across the nation. The manager said that the company earned a profit of the sale price of 1008 laptops on the sale of 6608 laptops in a year. What is the gain percentage that the company earned?

  15. SSC CHSL • 2020

    P and Q can finish a work in 10 days and 5 days, respectively. Q worked for 2 days and left the job. In how many days can P alone finish the remaining work?

  16. SSC CHSL • 2025

    A triangular pyramid is built on a triangular concrete base of sides 10 m, 10 m, 12 m. If the height of the pyramid is 6 m, what is the volume?

  17. SSC MTS • 2019

    The daily average rainfall on 5 days of a week is 30 mm. If the rainfall on 6th and 7th day are 42 mm and 25 mm respectively, then what is the average daily rainfall for the 7 days?

  18. SSC Selection Post • 2022

    Which of the following numbers is divisible by 72?

  19. SSC CGL • 2023

    What is the average number of girls in colleges C and E?

  20. SSC CGL • 2024

    If a shopkeeper sells sugar at ₹44.8 per kg, he is able to make a 12% profit. Due to water seepage, 1over5 of the sugar is damaged. What should now be the selling price per kg of the rest of the sugar to have a 5% profit?

  21. SSC CGL • 2025

    The Incenter of a triangle is located at (3, 4). The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle's incircle?

  22. SSC CGL • 2022

    If 5x - 1/4x = 6, x > 0, then find the value of 25x² - 1/(16x²) .

  23. SSC Selection Post • 2022

    The following figure shows the expenditures incurred by Rohan in different heads. Rohan has a monthly income of ₹ 50,000, out of which he spends 60% on different expenditures. What is the total expenditure (in ₹) incurred on Health, Education, and…

  24. SSC CHSL • 2022

    A retailer offers the following discount schemes for an article to his customers. A. Two equal successive discounts of 15% . B. Two successive discounts of 12% and 18%. C. Buy 7 articles and get 3 free. Which scheme is favourable to a customer? (assuming…

  25. SSC CGL • 2023

    △ PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Find the measure of ∠PSQ.

  26. SSC CGL • 2022

    The width of the path around a square field is 4.5m and its area is 105.75m². Find the cost of fencing the path at the rate of Rs100 per meter.

  27. SSC CHSL • 2021

    A sum of Rs. x amounts to Rs. 8563.50 in 31over 2 years and to Rs.10,527 in 7 years at y % p.a. simple interest. The value of x and y, respectively, are:

  28. SSC CGL • 2025

    There are 6 consecutive integers and 5 consecutive integers. The average of the 6 integers is 2 less than the average of the 5 integers. The sum of the 5 integers is 4 more than the sum of the 6 integers. Find the average of the 6 integers.

  29. SSC Selection Post • 2024

    The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan² A + cos² C?

  30. SSC CHSL • 2025

    If 2x+2/x=3, what is the value of x2+1/x2?

  31. SSC CHSL • 2024

    Study the given chart based on the population using different types of transport in the given cities. Assuming that no person uses more than one type of transport, answer the question that follows. [Image] What is the percentage of people using all types of…

  32. SSC GD • 2019

    Rajaram purchased a certain amount of wheat. If he sold one-fourth of the wheat at a profit of 12%, then the profit percent he needs to make on the remaining wheat to make an overall profit of 15% is :

  33. SSC CGL • 2024

    In a family, the combined age of husband, wife and a son is 90 years. The husband is the oldest. The difference in the ages of the husband and wife is 1over3 rd the age of their son. After 10 years, the age of the son would be half the age of his father…

  34. SSC CHSL • 2019

    The average of first 101 _ number is equal to 102.

  35. SSC CHSL • 2020

    If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, then find the value of x³ + y³ + z³ – 3xy.

  36. SSC Selection Post • 2022

    A shopkeeper sold two articles for ₹560 each. He incurred no loss and made no profit in the transaction because one article was sold at a loss of 162 over 3 % and the other article was sold at a profit of:

  37. SSC CGL • 2021

    The sum of 3-digit numbers abc,cab and bca is not divisible by :

  38. SSC CHSL • 2025

    If 4x² + y² = 40 and xy = 6, find the value of 2x + y and 2x - y.

  39. SSC CGL • 2020

    The average of five consecutive odd numbers is m. if the next three odd numbers are also included, then what is the increase in the average?

  40. SSC CGL • 2024

    The given table shows the expenditure in (in crores ₹) of three companies A, B and C, and the percentage profit of these companies in different years. Given that: Income = Expenditure + Expenditure × Profitover100 ^% [Table] What is the income (in crore ₹)…

  41. SSC CHSL • 2020

    [Image] PA and PB are tangents to the circle and O is the centre of the circle. The radius is 5 cm and PO is 13 cm. If the area of the triangle PAB is M, then the value √(M/15) is:

  42. SSC CHSL • 2025

    Three vessels X, Y, and Z hold liquid in the capacity ratio of 3 : 4 : 5. Each vessel contains a mixture of juice and water, where the proportions are 1 : 2 in X, 3 : 1 in Y, and 2 : 3 in Z. If the entire contents of these vessels are emptied into one large…

  43. SSC CHSL • 2022

    A man sold a radio set and gained one-eighth of its cost price. What is the profit percent?

  44. SSC CHSL • 2024

    If the surface area of the sphere is 616 cm², then the radius of the sphere is equal to:

  45. SSC Selection Post • 2022

    If the sum of two numbers is 126 and their HCF and LCM are 7 and 180, respectively, then the sum of the reciprocals of the two numbers is:

  46. SSC GD • 2019

    The total weight of 12 boys and 8 girls is 1080 kg. If the average weight of boys is 50 kg, then what will be average weight of girls?

  47. SSC CGL • 2024

    A person purchased a table and a sofa for ₹28,000. He sold the sofa at a profit of 10% and the table at a profit 15.25%. If his total profit was 13%, then the difference between the cost price of the sofa and the table (in ₹) is:

  48. SSC CHSL • 2024

    If the total expenditure is Rs. 84,000, then what is the expenditure on food (in Rs.)?

  49. SSC CGL • 2024

    From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?

  50. SSC CGL • 2022

    If the side of an equilateral triangle is 20 cm, then what is its area?