SarkariPYQ

Quantitative Aptitude PYQ — Page 289

24,303 questions across SSC exams.

  1. SSC CHSL • 2021

    What is the value of sin²60 + tan²45 + sec²45 - cosec²30?

  2. SSC CHSL • 2021

    The given histogram shows the marks scored by 40 students in a test of mximum 30 marks. [Image] What is the percentage of students who scored less than 50% marks?

  3. SSC CGL • 2023

    In a △ABC, the internal bisectors of ∠B and ∠C meet at O. If ∠BAC = 72°, then the value of ∠BOC is:

  4. SSC CHSL • 2022

    A container is normally filled in 5 hours. However, it takes 6 hours when there is a leak at the bottom. If the container is full, in what time would the leak empty it, if no water is allowed into the container during that period?

  5. SSC CGL • 2023

    Simplify the given expression. (1 + sin⁴ θ + cos⁴ θ)/(cos² θ + sin⁴ θ)

  6. SSC Selection Post • 2020

    The bar graph given below shows the data of the production of paper (in lakh tonnes) by three different companies P, Q and R over the years. [Image] What is the ratio of the average production by company P during the period 2010 to 2013 to the average…

  7. SSC CHSL • 2020

    The value of 5√(3) + 7√(2) - √(6) [Image] is:

  8. SSC CGL • 2018

    Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with solution B to obtain a mixture with 25% acid ?

  9. SSC CGL • 2023

    If secθ + tanθ = 5, ( θ ≠ 0 ), then secθ is equal to:

  10. SSC CGL • 2021

    Study the following table and answer the question: Number of Students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018) [Table] The difference between the average number of students who passed…

  11. SSC Selection Post • 2022

    If N = (307)³⁸ + (524)²⁰ , then what is the unit digit of N?

  12. SSC Selection Post • 2024

    The bar graph given below shows sales of table fans (in thousands) from five showrooms during two consecutive years, 2021 and 2022. The total sales of showroom B for both years is what percent of the total sales of showroom E for both years? (Rounded off to…

  13. SSC CHSL • 2023

    The value of (1 + sinA)/cosA + cosA/(1 + sinA) is:

  14. SSC CHSL • 2025

    In a 70 liter mixture of milk and water, the ratio of milk to water is 4:3. How much water must be added to make the ratio of milk to water 2:3?

  15. SSC CHSL • 2025

    How many kilograms of sugar priced at ₹10 per kilogram should be mixed with 20 kilograms of sugar priced at ₹8 per kilogram, so that selling the mixture at ₹10 per kilogram yields a profit of 10%?

  16. SSC GD • 2021

    When x is subracted from each of 43, 38, 11 and 10, then the numbers so obtained in this order are in proportion. What is the mean proportional between (11x + 3) and (9x - 2)?

  17. SSC CGL • 2025

    A principal of ₹1,00,000 is invested at 10% per annum compound interest, compounded annually. After how many years will the amount grow to ₹1,21,000?

  18. SSC Selection Post • 2024

    The number 1254216 is divisible by which of the following numbers?

  19. SSC CGL • 2022

    A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?

  20. SSC CHSL • 2024

    An 8-digit number is divisible by 99. If the digits are shuffled, then the number is always divisible by __.

  21. SSC CGL • 2025

    The radius of a cone is raised by 20%, while the height is reduced by 10%. What is the percentage change in the volume of the cone?

  22. SSC CHSL • 2025

    In what ratio must a 30% acid solution be mixed with a 60% acid solution to obtain a 50% acid solution?

  23. SSC Selection Post • 2022

    If the seven - digit number 49x29y6 is divisible by 72, then what will be the value of (x + 2y) for the largest value of x and y?

  24. SSC CGL • 2024

    If √(x) + 1over√(x) = 7, then the value of x\ +\ 1over x is equal t8o:

  25. SSC CHSL • 2025

    A, B, and C invest in a business. A invests Rs 20,000, B invests Rs 25,000, and C invests Rs 30,000. What is the total profit if the share of B is Rs 5,000?

  26. SSC CGL • 2022

    Anil lent a sum of Rs 5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per annum for the next 2 years and 10% per annum beyond 4 years. How much interest (in Rs) will he earn at the end…

  27. SSC CHSL • 2022

    Study the given table and answer the question that follows. The table shows quantity of various food items used by a resturant during four months of a year (in kg.) [Table] The quantity of wheat used in the month of July is what percentage of the total…

  28. SSC CGL • 2021

    Find the greatest value of b so that 30a68b (a>b) is divisible by 11.

  29. SSC CGL • 2022

    Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).

  30. SSC CHSL • 2021

    The average weight of 3 persons A, B and C is 60 kg. When D joints the group, the average weight becomes 65 kg. When another persons E whose weight is 3 kg less than that of D replaces A, the average weight of B, C, D and E becomes 67 kg. What is the weight…

  31. SSC CHSL • 2020

    In a class, if 60% of the students are boys and the number of girls is 36, then the number of boys is:

  32. SSC Selection Post • 2022

    A number is decreased by 30%, then increased by 27% and then futher increased by 20%. What is the net increase decrease percentage in the mumber (correct to the nearest integer)?

  33. SSC CGL • 2019

    If cosec 4θ = sec (60° – 2θ), then θ is equal to:

  34. SSC CGL • 2024

    2 varieties of tea powders worth ₹250/kg and ₹300/kg are mixed with a third variety of tea powder in the ratio 1 : 1 : 2. If the mixture is worth ₹350/kg, find the price of the third variety tea powder.

  35. SSC CGL • 2024

    What is the difference in area (in cm²) of △ ABC having sides of 10 cm, 20 cm, and 20 cm, and a right-angled triangle △ PQR with a hypotenuse of 13 cm and one of the perpendiculars of 12 cm? Note: √(2)=1.41 , √(3)=1.73 , √(7)=2.65 , √(1)3=3.61 , √(1)5=3.87…

  36. SSC CGL • 2022

    The following pie chart shows the number of workers of different categories A, B, C, D, E, F, G, and H in a factory in 1995. [Image] What is the central angle (angular value) for category B of the pie chart?

  37. SSC CGL • 2024

    Find the gain percentage, given that Anubha sold her scooter for ₹31,524 gaining 1/6th of the selling price.

  38. SSC CHSL • 2024

    If A : B = 2 : 3 and B : C = 7 : 8, find A : C.

  39. SSC CHSL • 2022

    In an election, the winning candidate received 15744 votes, which are 48% of the electorate. The only other candidate received 22% of the electorate. What is the number of members who did NOT vote?

  40. SSC CHSL • 2022

    If 15 kg of sugar cost ₹600, what is the cost of 25 kg of sugar?

  41. SSC CGL • 2023

    The following graph shows the number of illiterates in different states of a country in the year 2021. Total illiterates in 4 states = 4,50,000 [Image] What is the percentage of the total number of illiterates in A, B and C to the illiterates in D in 2021?

  42. SSC CHSL • 2025

    The number of circles that can pass through two fixed points is:

  43. SSC GD • 2019

    A train is moving with a uniform speed. Train crosses a bridge of length 340 meters in 35 seconds and a bridge of length 460 meters in 38 seconds. What is the speed of thetrain?

  44. SSC CGL • 2021

    A sum of Rs. 3125 amounts to Rs. 3515.20 in 3 years at x % p.a. interest is compounded yearly. What will be the simple interest (in Rs.) on the same sum and for the same time at (x + 2) % p.a.?

  45. SSC Selection Post • 2023

    If Δ ABC ~ Δ DEF, ∠A = 47°, and ∠E = 63°, then what is the measure of ∠C?

  46. SSC MTS • 2019

    The average of 13 numbers is 42. If a 14th number is included, then the average becomes 44. What is the 14th number?

  47. SSC CGL • 2024

    The below table shows the number of 1 litre bottles of soft drink produced by three companies during 2016-2020. Study the given information carefully and answer the question that follows. [Table] What is the difference in the average production of A and C…

  48. SSC CHSL • 2025

    The average marks of 25 students is 48. Later, 5 new students join the group, each scoring 60 marks. After that, the teacher finds that one of the original students' marks was wrongly entered as 40 instead of 70. Find the final average marks of the class.

  49. SSC Selection Post • 2024

    Two containers of equal capacity are full of a mixture of milk and water. In the first, the ratio of milk to water is 3 : 7 and in the second, it is 7 : 9. Now, both mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?

  50. SSC CHSL • 2021

    Geeta scored 30% and failed ny 50 marks, while sandeep who scored 45% marks, got 25 marks more than the minimum marks required to pass the examination. How many marks did Vimal get if he scored 64% marks?