SarkariPYQ

Quantitative Aptitude PYQ — Page 306

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    Using cot(A - B) =(cotAcotB+1)/(cotB-cotA) , find the value of cot15°.

  2. SSC CGL • 2020

    A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is:

  3. SSC CGL • 2019

    Surbhi spends 75% of her income. If her income increases by 20% and savings decrease by 1%, then the percentage increase in her expenditure is: (in percentages)

  4. SSC CGL • 2020

    In quadrilateral PQRS, RM ⊥ QS, PN ⊥ QS and QS = 6 cm. If RM = 3 cm and PN = 2 cm, then the sum of the area of quad PQRS and △SQR is:

  5. SSC Selection Post • 2022

    A man spends ₹78,00 per month from his salary. He saves 40% of his salary. What is the salary (in ₹) for the whole year?

  6. SSC GD • 2019

    John travels (2/3)ʳᵈ of a distance by bike and remaining 6 km on foot. How many km does he travels in the whole journey?

  7. SSC CHSL • 2023

    Babita is 1.25 times as efficient as Deepak. Working together, the duo can complete a piece of work in 40 days. In how many days can Deepak alone complete the same piece of work?

  8. SSC CHSL • 2019

    How much percentage marks more than B has C scored in practical?

  9. SSC CGL • 2025

    A solid sphere is placed inside a cube such that it touches all six faces. What percentage of the cube's volume is not occupied by the sphere?

  10. SSC CHSL • 2023

    if (y² + 1/(y²) ) = 167 and y > 0, find the value of ( y + 1/y ).

  11. SSC CGL • 2023

    A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is :

  12. SSC CHSL • 2025

    A chord of length 8 cm is 3 cm from the center. Find the radius.

  13. SSC CHSL • 2025

    If x = 7sin A + 24cos A and y = 7cos A - 24sin A, then what is the value of 3(x² + y²)?

  14. SSC CGL • 2024

    The table shows the percentage distribution of the population (only male and female) according to Gender and Literacy. [Table] If the literate male population of state A is 5,00,000, then the total population of the state is:

  15. SSC CGL • 2025

    A vertical pole TF has its base F on the ground. From a point A, 25 meters from F, the angle of elevation of T is x°. From another point B, 75 meters from F (and in the same line as A), the angle of elevation of T is y°. If the height of the pole is 25√3…

  16. SSC Selection Post • 2022

    The monthly expenditure of a person is 40% more than his monthly savings. If his monthly income increases by 40% and monthly expenditure increases by 60%, then he saves ₹2,070 more in a month. What is his initial monthly expenditure (in ₹)?

  17. SSC CHSL • 2025

    A rectangular sheet of paper measuring 44 cm × 10 cm is folded into a right circular cylinder whose side is 10 cm. What is the approximate volume of the cylinder?

  18. SSC CGL • 2016

    A shopkeeper purchased 510 eggs at the rate of Rs 20/dozen. 30 eggs were broken on the way. In order to make a gain of 20%. Find the rate at which he must sell the remaining eggs.

  19. SSC CGL • 2021

    In △ABC, right-angled at B, if cot A = 1/2 , then the value of [Image] is:

  20. SSC Selection Post • 2022

    If the salary of 16 men for 30 days is ₹20,736, then what is the salary of 1 man for 15 days?

  21. SSC CGL • 2022

    In △LMN,the bisectors of ∠ L and ∠ N intersects at an angle of 112°. What is the measures ( in degrees ) of ∠ M ?

  22. SSC Selection Post • 2020

    Three numbers A, B, and C are in the ratio of 2: 3: 5. If each number is increased by 20%, 40% and 60%, respectively, then what will be the new ratio?

  23. SSC CHSL • 2020

    If X = tan 40ᵒ, then the value of 2 tan 50ᵒ will be:

  24. SSC CHSL • 2022

    A shopkeeper wanted to sell ₹2,700 worth of products. But he had two options — giving two successive discounts of 10% and 15%, respectively, or giving a single discount of 25%. What was the difference between the two options?

  25. SSC GD • 2021

    The value of (2 × 7 ÷ 14 of 4 - 5 ÷ 4 × (9 - 11) + 2 - 2 × 6 ÷ 8 of 3) is:

  26. SSC CGL • 2023

    If in △ XYZ, XY = 4 and XZ = 5 cm, and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:

  27. SSC CHSL • 2025

    A shopkeeper mixes 4 liters of a milk solution containing 25% fat with 6 liters of another milk solution containing 40% fat. What is the fat percentage in the final mixture?

  28. SSC GD • 2021

    After giving a discount of 20% on the marked price of an article, it is sold for Rs 120. Had the discount not been given, then the profit would have been 20%. What is the cost price of the article?

  29. SSC CGL • 2025

    A solution consists of acid and water in the ratio 7:5. If 6 litres of water is added, the new ratio becomes 7:6. What is the original quantity of acid in the solution?

  30. SSC CGL • 2023

    If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, then in how many days can B alone complete the same work?

  31. SSC CGL • 2024

    The sum of five consecutive numbers is 80. Find the largest number.

  32. SSC Selection Post • 2020

    An article is sold for ₹1,683, after giving three successive discounts of 15%, 10% and 12% on its marked price. The marked price of the article is:

  33. SSC CHSL • 2024

    Find the difference between the curved surface area and total surface area of a right circular cylinder having a length of 68 cm and base diameter of 28 cm.

  34. SSC CGL • 2020

    In the following table, the production of various crops (in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow. [Table] The percentage growth of maize in the year 2019 over the year 2015 is : (correct to two decimal…

  35. SSC CHSL • 2024

    The total percentage of students who qualified in the year 2016 (correct up to two decimals) is:

  36. SSC CGL • 2024

    If tanθ = 5over8 , then find the value of (1+cosθ)(1−cosθ)over (1+sinθ)(1−sinθ) .

  37. SSC CGL • 2022

    If tan A = 2.4/0.7 , what is the value of (50 cos A + 24 cot A)?

  38. SSC CHSL • 2023

    The table given below shows the sales of two companies in 5 years. [Table] L1 = The difference between the total sales of A and B in all years. L2 = The value of average sales of A in all years. What is the value of (L1 : L2)?

  39. SSC Selection Post • 2022

    If the five-digit number 235xy is divisible by 3, 7 and 11, then what is the value of (x - y)?

  40. SSC CHSL • 2023

    A and B can finish the work in 6 days and 4 days, respectively. A alone worked on it for 2 days. Thereafter, B joined him. How much total time was taken by them to finish the work?

  41. SSC CGL • 2023

    Study the given table and answer the question that follows. The table shows the number of students studying in six different schools [Table] What is the respective ratio of students studying in class IX of schools Q and R together to those studying in class…

  42. SSC MTS • 2022

    The average of 8 numbers is 12. If a number Y is added to each of these 8 numbers, then the average becomes 16. What is the value of Y?

  43. SSC CGL • 2022

    A number when divided by 7 leaves remainder of 4. If the square of the same number is divided by 7, then what is the remainder?

  44. SSC CGL • 2024

    Which composite number can divide the sum of the first 12 natural numbers?

  45. SSC CGL • 2022

    The reduction of 20% in the price of rice enables a person to obtain 50 kg more for Rs.450. Find the original price of rice per kg.

  46. SSC CHSL • 2025

    The area of a circle is 3850 cm². The circle is inscribed in a square, and the side of the square is half of the side of an equilateral triangle. Find the sum of the perimeter of the square and that of the triangle.

  47. SSC CHSL • 2020

    A and B separately can build a wall in 12 and 16 days, respectively. If they work for 1 day alternatively. Starting with A, in how many days will the wall be built?

  48. SSC Selection Post • 2022

    A car travels at 60 km/h for the first 40 minutes, at 75 km/h for the next 80 minutes and at 80 km/h for the next 12 minutes. What is the average speed (in km/h) of the car?

  49. SSC CGL • 2022

    A certain sum amounts to ₹3,640 in 2 years and ₹4,060 in 8 years at simple interest. Find the approximate rate percentage per annum?

  50. SSC Selection Post • 2024

    The following table shows the marks (out of 100) obtained by four students in five different subjects. [Table] How many marks did Preeti score in Science?