Quantitative Aptitude PYQ — Page 176

24,303 questions across SSC exams.

  1. SSC CGL • 2022

    if (4a - 3b) = 1, ab = 1/2 , where a > 0 and b > 0, what is the value of (64a³ + 27b³)?

  2. SSC CGL • 2022

    A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

  3. SSC Selection Post • 2024

    Which of the following statements is true?

  4. SSC CGL • 2022

    If x+1 over x=1 , then the value of x¹² + x⁹ + x⁶ + x³ + 1 is ___

  5. SSC CGL • 2022

    A container contains 25 liters of milk. From this container, 5 liters of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?

  6. SSC GD • 2023

    A and B together can complete a work in 8 days. A alone can complete it in 16 days. If B works at 50 percent efficiency, then in how many days A and B together will complete the work?

  7. SSC GD • 2023

    A principal becomes ₹1,458 at the rate of 8% per annum on compound interest in 2 years and interest is compounding annually. What is the principal?

  8. SSC CHSL • 2019

    If 8(x + y)³ - (x - y)³ = (x + 3y) (Ax² + Bxy + Cy²), then value of (A - B - C) is:

  9. SSC GD • 2026

    Speed of stream is 5 km/hr. Speed of the boat in still water is 17 km/hr. What is the downstream speed (in km/hr) of the boat?

  10. SSC CHSL • 2025

    A pharmaceutical capsule is shaped like a right circular cylinder of radius 0.4 cm and height 1.5 cm. Find the total surface area assuming flat ends.

  11. SSC GD • 2024

    What is the value of √(0.000081) ?

  12. SSC Selection Post • 2024

    If 6 people are required to complete a work in 1 hour 20 minutes, then how long will only 5 people take to complete the same work?

  13. SSC CGL • 2023

    Simplify 1/(2+2p) + 1/(2+2q)+1/(2+2r) , where p=x/(y+z), q=y/(z+x) and r=z/(x+y).

  14. SSC CHSL • 2025

    The compound interest on ₹8,000 for 1 year 6 months at 20% p.a., compounded half-yearly, is:

  15. SSC CGL • 2022

    P and Q start a shop with a capital of Rs 1,50,000 and Rs 4,50,000 respectively. After a year, out of the profit of Rs 1,60,000, P gets his share of proit plus some money that is not a part of the profit, as his salary. If P gets a total of RS 70,000, what…

  16. SSC Selection Post • 2022

    The simple interest on a certain sum is 50% of the sum in 8 years at a certain rate per cent p.a. What will be the interest (in ₹) on a sum of ₹ 7,200 at the same rate in 5 2 over 3 years at simple interest?

  17. SSC CGL • 2019

    A and B are travelling towards each other from the points P and Q respectively. After crossing each other, A and B take 49/8 hours and 8 hours, respectively, to reach their destinations Q and P, respectively. If the speed of B is 16.8 km/h, then the speed…

  18. SSC CHSL • 2022

    The given circle graph shows the spending of a country on various sports during a year. study the graph carefully and the question that follows. [Image] the country spent the same amount of money on:

  19. SSC CHSL • 2020

    The given pie chart shows the percentage of students enrolled into the colleges A, B, C, D, E and F in a city, and the table shows the ratio of boys to girls in the college. [Image] Based on this information, if the total number of students is 9800, then the…

  20. SSC CGL • 2021

    A shopkeeper marked every item 25% above the cost price and allowed 10% discount. Shruti being a regular customer got 5% additional discount on the bill and paid Rs 2394 for the item purchased. What is the cost price of the item (in Rs)?

  21. SSC CGL • 2024

    When f(m) = m⁵+5m⁴–3m+7 is divided by (m–2), then the remainder is ___.

  22. SSC GD • 2021

    Divide ₹12,100 into 2 parts such that when these are invested for 3 and 4 years, respectively, at the rate of 6% per annum simple interest, the amount received are equal. What is 75% of the difference between the 2 parts (in ₹)?

  23. SSC CGL • 2021

    If x + 1/x = 4, then the value of x⁵ + 1/x5 is:

  24. SSC CHSL • 2024

    A policeman is chasing a thief at a speed of 12 km/h, and the thief is running at a speed of 8 km/h. If the policeman started 30 minutes late, find the time taken by the policeman to catch the thief.

  25. SSC CGL • 2025

    In a circle having a radius 10 cm, a chord is 6 cm away from the center. Find the length of the chord.

  26. SSC CGL • 2022

    6 men and 8 women can do a piece of work in 10 days, whereas 26 men and 48 women can do the same work in 2 days. What will be the time taken by 15 men and 20 women to do the same work?

  27. SSC GD • 2024

    When a number is successively decreased by 15 percent, 80 percent and 44 percent, then it becomes 19992. What is that number?

  28. SSC CHSL • 2023

    If P : Q = 2 : 3, Q : R = 4 : 5 and R : S = 2 : 1 then what is the value of P : R : S?

  29. SSC GD • 2019

    The value of [2/3 ÷ 8/15 of 2/5 + 2/5 of [Image] ÷ 3/4] of 4/19 is :

  30. SSC CGL • 2025

    Simplify: 1/(sqrt7-sqrt3)+1/(sqrt7+sqrt3)

  31. SSC CGL • 2019

    In ΔABC, P is a point on BC such that BP : PC = 4 : 5 and Q is the midpoint of BP, then ar(ΔABQ) : ar(ΔABC) is equal to?

  32. SSC GD • 2023

    5 women can complete a work in 8 days, while 8 children take 10 days to complete the same work. How many days will 2 women and 4 children take to complete the work?

  33. SSC GD • 2023

    A buys 150 gm gold for Rs.6,00,000 and gives 6% as making charges. What should be the selling price per 10 gm to have a profit of 6%?

  34. SSC GD • 2023

    A cylindrical tank has a capacity of 5632 m³. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = 22/7 )

  35. SSC CGL • 2025

    A right triangle ABC is inscribed in a circle with a diameter of 10 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. If the length of the leg AB is 6 cm, what is the length of the segment AD?

  36. SSC CHSL • 2022

    If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a – b.

  37. SSC CGL • 2024

    In a △ ABC , right angled at B if tan C= sqrt3 , then find sin²C+cos²Cover1+cot²C .

  38. SSC CGL • 2023

    Find the value of cos47°sec133° + sin44°cosec136°.

  39. SSC GD • 2023

    Find the value of 60 ÷ 5 × ( 9/8 of 4/3 ÷ 3/4 of 2/3 ).

  40. SSC GD • 2023

    If the radius of the base and the height of a cylinder are 17cm and 49 cm respectively, then what is the curved surface area of the cylinder? (Use π = 22/7)

  41. SSC CHSL • 2023

    Rajendra is working as a delivery boy in a multinational company. The company is paying him Rs90 per delivery. In a fortnight comprising 15 consecutive working days, his average earnings per day was Rs540. If his average earnings of the first 7 days was…

  42. SSC Selection Post • 2022

    Find the fourth proportional of 3, 7, 12.

  43. SSC GD • 2024

    The ratio of two numbers is 5 : 6. If their product is 1920, what is the sum of both numbers?

  44. SSC CHSL • 2024

    If the area of a triangle whose base measures 6 cm is 18 cm², then its height is:

  45. SSC Selection Post • 2020

    The value of a machine depreciates at the rate of 25% each year. If the difference between its values at the end of the third and the fourth year is ₹17,199, then what is the value of the machine at the end of the first year?

  46. SSC CGL • 2022

    Which of the following is NOT a correct statement?

  47. SSC GD • 2025

    The LCM of 56, 30, 108 and 120 is:

  48. SSC GD • 2026

    The speed of a boat in still water is 23 km/hr. If the upstream speed of the boat is 17 km/hr, then what is the speed (in km/hr) of the stream?

  49. SSC GD • 2025

    A man sold an article for ₹216, there by gaining 12.5%. The cost of the article (in ₹) was:

  50. SSC CHSL • 2024

    What was the average number of passengers traveling from Ahmedabad to Surat, Botad, and Bhavanagar together?