Quantitative Aptitude PYQ — Page 219

24,303 questions across SSC exams.

  1. SSC CHSL • 2021

    Raghav spends 80% of his income. If his income increases by 12% and his expenditure increases by 17.5%, then what is the percentage decrease in his savings?

  2. SSC CGL • 2022

    If cos B = 5/7, what is the value of cosec B + cot B? Given that 0 < B < π/2

  3. SSC GD • 2023

    A man purchased two items at the same price and sold one at a profit of 15% and the other at a loss of 5%. If the difference between the two selling prices is ₹80, then what is the cost price of one item?

  4. SSC CHSL • 2022

    The expenses of a family on wheat, vegetables and oil are in the ratio 12 : 8 : 5. The prices of these items increased by 50%, 25% and 40%, respectively. The total expenses of the family on these items increased by:

  5. SSC CGL • 2019

    If a² + b² + c² = 21 and a + b + c = 7, then (ab + bc + ca) is equal to:

  6. SSC CHSL • 2025

    A circle is inscribed in ΔPQR touching the sides QR, PR and PQ at the points S, U and T, respectively. PQ = (QR + 5)cm, PQ = (PR + 2)cm. If the perimeter of ΔPQR is 32 cm, then PR is equal to:

  7. SSC GD • 2019

    ‘A’ pipe can empty a tank in 20 minutes. The second pipe ‘B’ has a diameter twice as that of ‘A’. If both A & B pipe are attached to the tank how much time will be required to empty the tank ?

  8. SSC CHSL • 2022

    A solid toy is in the shape which is a combination of a cylinder, cone and a hemispherical bowl. The cylinder contributes to 50% of the total volume of the toy, the cone contributes to 20% of the volume. Find the ratio of the contribution (in terms of…

  9. SSC CGL • 2022

    If a + b + c = 11 and ab + bc + ca = 28, then find the value of a³ + b³ + c³ - 3abc.

  10. SSC CHSL • 2024

    A dozen pairs of gloves of Rs. 180 are available at a discount of 10%. How many pairs of gloves can be bought for Rs. 54?

  11. SSC GD • 2021

    A sum of ₹ x is divided between A, B & C such that the ratio of shares of A and B is 3 : 5 and that of 4 : 7. If the difference between the shares of B & C is ₹ 1455, then the value of x is:

  12. SSC CHSL • 2023

    Find the third proportional to 8 and 20.

  13. SSC GD • 2025

    If 2% of x = 300, then x is equal to

  14. SSC MTS • 2019

    In a bag, the ratio of 2 rupee, 1 rupee and 50 paise coins is 3 : 4 : 5.If the total amount in the bag is Rs. 250, then how many 1 rupee coins are there?

  15. SSC GD • 2023

    In the given figure three circles, each of radius 3.5 cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is: (Up to two decimal places) [Image]

  16. SSC CHSL • 2024

    ∆ABC ~ ∆EDF and area(Δ&Alpha;&Beta;C):area(∆EDF) = 1 : 4. If AB = 7 cm, BC = 8 cm and CA = 9 cm, then DF is equal to:

  17. SSC CGL • 2024

    In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?

  18. SSC CGL • 2025

    The average of three numbers is 35. The first number is 20% more than the second, and the third is 20% less than the second. What is the second number?

  19. SSC MTS • 2022

    The ratio of A and B in an alloy is 2 : 5. If the alloy is made of only A and B, how much amount of B will be there in 210 kg of that alloy?

  20. SSC Selection Post • 2024

    If 28 men can do a piece of work in 26 days, then in how many days will 13 men do it?

  21. SSC CHSL • 2023

    The value of (sin 58°)/(cos32°) + (sin55° sec35°)/(tan5° tan 45 °tan85°) is equal to:

  22. SSC CHSL • 2023

    If tanθ + secθ = a, then what is secθ equal to :

  23. SSC CHSL • 2024

    In an election, a candidate secures 40% of the votes, but is defeated by the only other candidate with a majority of 298 votes. Find the total number of votes recorded.

  24. SSC CHSL • 2025

    The average marks of 30 students is 55. If one student who scored 40 is replaced by another who scored 70, what will be the new average?

  25. SSC GD • 2026

    An article is sold for 40 percent profit. The value of discount given is equal to (5/14) of the marked price. Cost price of the article is how much percent less than its marked price?

  26. SSC GD • 2025

    Find the average of 309, 125, 90, 45, 125 and 104.

  27. SSC CGL • 2022

    sin⁴θ + cos⁴θ in terms of sinθ can be written as:

  28. SSC GD • 2023

    Ramu and Mohan can separately complete a work in 10 hours and 16 hours, respectively. After working for 2 hours together, Mohan leaves the work. In how many hours will Ramu finish the remaining work?

  29. SSC CGL • 2025

    Two circular pizzas have radii in the ratio 2:3. If the smaller pizza has an area of 100π cm², what is the area of the larger pizza?

  30. SSC GD • 2021

    The Perimeter of circular garden is 506 m. The cost (in Rs.) of levelling is at Rs. 14/m² is: (Take π=22/7 )

  31. SSC CGL • 2025

    A hemisphere, cone, and cylinder have the same base radius and equal volumes. If the height of the cylinder is h, find the height of the cone.

  32. SSC CHSL • 2024

    P pays Q a sum of Rs 150 using coins of Rs 2, Rs 5, and Rs 10. He uses a total of 50 coins. If the ratio of Rs 2 and Rs 5 coins used is 5 : 2, then how many coins of Rs 10 are used in the payment?

  33. SSC CGL • 2020

    The greatest number which should be replace ‘*’ in the number 146*48 to make it divisible by 8 is:

  34. SSC Selection Post • 2020

    The value of 2over5 ÷ 3over10 of 4over9 − 4over5 × 1 1over9 ÷ 8over15 − 3over4 + 3over4 ÷ 1over2 is ?

  35. SSC MTS • 2022

    The HCF and the LCM of two numbers are 35 and 840, respectively. If the ratio of the two numbers is 3 : 8, then the smaller of the two numbers is:

  36. SSC GD • 2025

    When x is subtracted from each of 55, 50, 23 and 22, the resulting numbers, in this order, are in proportion. What is the fourth proportion of 3, 7 and x?

  37. SSC CHSL • 2021

    The simple interest on a certain sum for 3 and half years at the rate of 10% per annum is ₹2,940. What will be the compound interest (in ₹) on the same sum for 1 and half years at the same rate when interest is compounded half-yearly (nearest to a rupee)?

  38. SSC GD • 2023

    A cone of height 8 cm and base radius 4 cm is carved from a rectangular block of wood 8 cm × 6 cm × 4 cm. The percentage of wood wasted is approximately:

  39. SSC GD • 2021

    A car takes 4 hours to cover a distance if it travels at a speed of 60 km/h. What should be its speed (in km/h) to cover the same distance in 1.5 hours?

  40. SSC CHSL • 2022

    Study the given table and answer the question that follows. The table shows the number of different drinks purchased by customers in three different seaons. [Table] Which of the following is the most favourite drink of the people in winter?

  41. SSC CHSL • 2020

    Study the graph and answer the following question. [Image] How many students spend 5 hours or more than 5 hours in playing mobile games per day?

  42. SSC Selection Post • 2024

    A city’s population grows by 10% in the first year, 20% in the second year, and 10% in the third year. If the population after 3 years is 8,71,200, then what was the original population 3 years ago?

  43. SSC CGL • 2024

    If 7845K854 is divisible by 11, then what is the value of K?

  44. SSC CHSL • 2020

    If a and b are two positive real numbers such that a + b = 20 and ab = 4, then the value of a³ + b³ is:

  45. SSC GD • 2024

    When the price of an article was reduced by 40% its sale increased by 60%. What was the net effect on the sale?

  46. SSC CGL • 2019

    The value of (5 + 3 ÷ 5 × 5) ÷ (3 ÷ 3 of 6) of (4 × 4 ÷ 4 of 4 + 4 ÷ 4 × 4) is:

  47. 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 difference (in tonnes) between the average production of barley and average production of rice is :

  48. SSC CGL • 2021

    In a circle with centre O, AB and CD are parallel chords on the opposite sides of a diameter. If AB = 12 cm, CD = 18 cm and the distance between the chords AB and CD is 15 cm, then find the radius of the circle (in cm).

  49. SSC Selection Post • 2023

    The given bar graph shows the results of students in a college. Study the graph and answer the question that follows. [Image] Find the average number of students who failed in the college in the last 5 years, as per the given data.

  50. SSC Selection Post • 2022

    What is the amount (in ₹ ) on a sum of ₹5,120 at 15% per annum for 2 1/2 years, if the interest is compounded 10- monthly?