SarkariPYQ

Quantitative Aptitude PYQ — Page 379

24,303 questions across SSC exams.

  1. SSC CGL • 2023

    If (sinx-cosx)/(sinx+cosx)=2/5 , then the value of (1+cot²x)/(1-cot²x) ?

  2. SSC CGL • 2021

    A train leaves station A at 8 am and reaches station B at 12 noon. A car leaves station B at 8:30 am and reaches station A at the same time when the train reaches station B. At what time do they meet ?

  3. SSC CHSL • 2022

    The lengths of the three sides of a triangle are 3 cm, 4 cm and 5 cm respectively. Find the area of this triangle.

  4. SSC CHSL • 2025

    A sum is being lent at 10 percent per annum compound interest (compounding annually). What is the ratio of amount at the end of first year to the amount at the end of second year?

  5. SSC CGL • 2022

    If 4 sin²θ = 3(1 + cosθ), 0&ordm; < θ < 90°, then what is the value of (2 tanθ + 4sinθ - secθ)?

  6. SSC CGL • 2024

    In a ΔABC right - angled at C, if tan A =√3, then the value of sin A cos B cot(A + B) is:

  7. SSC MTS • 2019

    The Table given below shows the number of students having obtained different marks. [Image] What is the mean marks per student?

  8. SSC CGL • 2022

    A sum of Rs.6,000 is to be paid back in two equal annual installments; each installment is to be paid at the end of every year. How much is each installment if the interest is compounded annually at 2% p.a.? (Rounded off up to two decimal places)

  9. SSC CGL • 2020

    Solve the following. (2Sin22ᵒ) / (Cos68ᵒ) - (2Cot75ᵒ) / (5tan15ᵒ) - (8tan45ᵒtan20ᵒtan40ᵒtan50ᵒtan70ᵒ) / (5)

  10. SSC CHSL • 2019

    The value of 3 × 2 ÷ 3 of 12 – 3 ÷ 2 × (2 – 3) × 2 + 3 ÷ 2 is:

  11. SSC CHSL • 2025

    A microwave oven has a marked price of ₹8,000. It sells for ₹6,200 during the sale season. What is the offered percentage discount?

  12. SSC CGL • 2025

    A book, originally priced at 10% at ₹600, is subject to a reduction in cost through two consecutive discounts: an initial markdown of 10%, followed by an additional 20% discount. The question then is to determine the conclusive selling price of the book once…

  13. SSC CGL • 2020

    Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:

  14. SSC CGL • 2021

    The value of 32 ÷ 12 of 3 × [5 – (15 – 12) ÷ 9] of frac37 + 4 – 8 ÷ 2 of 4 is:

  15. SSC CGL • 2025

    Ravi and Suman started a business with ₹60,000 and ₹90,000 respectively. After 6 months, Suman added ₹30,000 more. Ravi withdrew ₹10,000 at the same time. What is their profit-sharing ratio at the end of 1 year?

  16. SSC CHSL • 2024

    The given table shows the marks obtained by 100 students out of 50 marks in Mathematics and Physics in an examination. [Table] If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue…

  17. SSC CHSL • 2020

    A triangle is NOT said to be a right-angled triangle if its sides measure:

  18. SSC CHSL • 2021

    Three numbers are in the ratio 1/4, 5/9, 7/12. The difference between the greatest and the smallest number is 180. Find the sum of all the three numbers.

  19. SSC CHSL • 2023

    An arc of length 33π cm subtends an angle of 132° at the centre of the circle. Find the radius of the circle.

  20. SSC Selection Post • 2022

    The count of bacteria in a sample grows by 24% during the first hour.It decreases by 15% during the next one hour and again decreases by 10% during the third hour. If the present count of bacteria in the sample is 55000, then what will be the net…

  21. SSC CGL • 2019

    The given pie chart shows the breakup of total number of employees of a company working in different offices (A, B, C, D and E) Total number of employees = 2400 [Image] If the percentage of male employees in office C is 20% and that of female employees in…

  22. SSC CGL • 2025

    A rectangular aquarium (100 cm L x 50 cm W x 60 cm H) contains water with an initial level of 20 cm. 10 identical metal spheres, each with a diameter of 10 cm, are gently lowered into the aquarium. Assuming the spheres are fully submerged, what is the rise…

  23. SSC Selection Post • 2022

    Find the curved surface area of the sphere whose radius is 32 cm and π = 3.14 (cm²).

  24. SSC CGL • 2020

    The compound interest on a certain sum at the end of two years is Rs. 408. The simple interest on the same sum for the same time is Rs. 400. The rate of interest per annum is:

  25. SSC CGL • 2024

    Simplify the following expression. (60 + 64 ÷ 4 of 4) × {1000 ÷ ((10 of (3 + 2)) × 2 of 5)} − 28 + (100 × 3 of 3).

  26. SSC CGL • 2022

    AB and CD are two chords in a circle with centre O and AD is a diameter. AB and CD produced meet at a point P outside the circle. If ∠APD = 25&ordm; and ∠DAP = 39&ordm;, then the measure of ∠CBD is:

  27. SSC CHSL • 2025

    The area of a rectangle is 48 cm² more than that of a square. If the length of the rectangle is 4 cm more than the side of the square and the breadth of the rectangle is 2 cm less than the side of the square, then find the perimeter of both the square and…

  28. SSC CHSL • 2023

    A man buys an article for Rs. 80 and marks it at Rs. 125. He then allows a discount of 40%. What is his percentage of loss or gain?

  29. SSC CGL • 2019

    The total production of type B cars in 2015 and type D cars 2016 is what percent less than the total production of type E cars in five years?

  30. SSC CGL • 2017

    If x = 11, the value of x⁵– 12x⁴ + 12x³ – 12x² + 12x – 1 is:

  31. SSC GD • 2021

    Excluding stoppages the speed of a bus is 60 km/h and including stoppages it is 48 km/h. For how many minutes does the bus stop per hour?

  32. SSC CGL • 2025

    A rectangular room measures 8 m long and 6 m wide. Its floor is to be covered with square tiles of side 40 cm. If 10% extra tiles are purchased for cutting and breakage, how many tiles are needed in total?

  33. SSC CHSL • 2024

    Two circles of radii 16 cm and 4 cm, respectively, touch each other externally at Point A. PQ is the direct common tangent of these circles with centres C₁ and C₂ , respectively. What is the length of PQ?

  34. SSC CHSL • 2023

    If ( 4y - 4over y ) = 11 then, find the value of ( y ² + 1over y ² ).

  35. SSC CHSL • 2023

    A man invests Rs.44,000 in some shares in the ratio 1 : 4 : 5 which pay dividends of 10%, 15% and 25% on his investment for one year, respectively. His total dividend income is:

  36. SSC CHSL • 2024

    The distance between the centres of two circles is 81 cm, and their radii are 42 cm and 51 cm. What is the length (in cm) of the direct common tangent to the circles?

  37. SSC CGL • 2023

    Simplify the following: (sin³⁡α+ cos³⁡α)/(sin⁡ α+ cos⁡α)

  38. SSC Selection Post • 2022

    At a sale, the goods are on sale at a 45% discount. If Rama buys a skirt marked ₹600, how much would she need to pay?

  39. SSC CHSL • 2025

    A solid hemisphere is joined to a solid cylinder of the same base radius by their flat faces. Find the total surface area of the combined solid (including curved and flat surfaces).

  40. SSC CGL • 2019

    A solid cube of volume 13824 cm³is cut into 8 cubes of equal volumes. The ratio of the surface area of the original cube to the sum of the surface areas of three of the smaller cubes is:

  41. SSC CHSL • 2022

    Champa buys type 1 sugar at ₹45 per kg. He mixes it with type 2 sugar having a price of ₹48 per kg. The final mixture becomes worth ₹46 per kg. What is the ratio of the quantities of type 1 sugar to type 2 sugar in the final mixture?

  42. SSC CGL • 2023

    Which of the following options is NOT a correct trigonometric identity?

  43. SSC CHSL • 2024

    In a 2 km linear race, if P completes the race in 200 second and Q in 220 seconds, then the distance by which P beats Q is:

  44. SSC CGL • 2023

    In the given ΔABC, DE II BC. If BC = 8 cm, DE = 6 cm and area of ΔADE = 90 cm², then what is the area of ΔABC (in cm²)? [Image]

  45. SSC MTS • 2022

    A, B and C can do a piece of work in 10, 20 and 30 days, respectively. In how many days can A do the work if he is assisted by B and C on every third day?

  46. SSC CHSL • 2021

    The following histogram represents the distribution of total household expenditure (in Rs.) of 200 manual workers in a city. [Image] The number of workers whose total expenditure is Rs. 350 and above is what percentage less than the number of workers whose…

  47. SSC Selection Post • 2022

    A and B can do a certain work in 25 and 20 days, respectively. They work together for 4 days. The remaining work is completed by C in 8 days. C alone can complete 40% of the original work in :

  48. SSC CGL • 2023

    A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs.40 per 20 cm² ? (Take thickness of the bowl as negligible).

  49. SSC CHSL • 2021

    If x⁴ - 12x² + 1 = 0, then what will be the value of x⁴ +1/(x⁴) ?

  50. SSC CGL • 2025

    A rectangular plot has a length of 12.75 m and a width of 6.2 m. What is its area?