Quantitative Aptitude PYQ — Page 56

24,303 questions across SSC exams.

  1. SSC CHSL • 2024

    Simplify (2z - 5y)² + (5z + 2y)² - 25z².

  2. SSC CGL • 2023

    The average of 20 numbers is 32. If two numbers are 29 and 31, then what is the What is the average of the remaining numbers (correct, up to two decimals)?

  3. SSC CHSL • 2024

    ₹7,786 is divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 4 and the ratio of the amount of B to that of C is 12 : 13. The amount of money received by B is:

  4. SSC MTS • 2024

    What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 4 ÷ 8 × 2 − 7 +3 = ?

  5. SSC CGL • 2022

    In △ABC, ∠B = 78º, AD is a bisector of ∠A meeting BC at D, and AE Ʇ BC at E. IF ∠DAE = 24º, then the measure of ∠ACB is:

  6. SSC CHSL • 2023

    The sum of the ages of Arun and Bharti is 24 years such that Arun is older. If the age of Arun and Bharti is doubled, the difference is 8 years. What is the age of Arun, in years?

  7. SSC CGL • 2022

    In Δ ABC, D is a point on BC such that ∠ ADB = 2 ∠ DAC, ∠ BAC = 70º and ∠ B = 56º. What is the measure of ∠ ADC?

  8. SSC CGL • 2019

    In a school, 4/9 of the number of students are girls and the rest are boys. 3/5 of the number of boys are below 12 years of age and 5/12 of the number of the girls are 12 years or above 12 years of age. If the number of students below 12 years of age is 480…

  9. SSC CGL • 2023

    If P : Q = 3 : 4 and Q : R = 4 : 7, then find the value of (P + Q) : (Q + R) : (R + P).

  10. SSC MTS • 2024

    HN74 is related to TZ55 in a certain way . In the same way, XD60 is related to JP41. To which of the following is ZF55 related, following the same logic?

  11. SSC MTS • 2026

    What is the unit digit of 562 × 841 × 927?

  12. SSC MTS • 2024

    What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 35 × 7 ÷ 6 + 3 − 14 = ?

  13. SSC CGL • 2026

    Simplify: (tan² θ - sin² θ)/(2 + tan² θ + cot² θ)

  14. SSC CGL • 2018

    If 3x + 6y + 9z = [Image] , 6x + 9y + 3z = [Image] and 18x + 27y − z = [Image] , then what is the value of 75x + 113y?

  15. SSC CGL • 2018

    Rs 10,200 has to be divided between A, B & C so that A gets 2/3 of what B gets and B gets 1/4 of what C gets. How much more does C get over A (in Rs)?

  16. SSC MTS • 2024

    What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 14 ÷ 7 − 27 × 9 + 12 = ?

  17. SSC CGL • 2023

    P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day, and son on till the work is completed. In how many days the work will be…

  18. SSC CGL • 2020

    A delivery boy started from his office at 10 a.m. to deliver an article. He rode his scooter at a speed of 32 km/h. He delivered the article and waited for 15 minutes to get the payment. After the payment was made, he reached his office at 11.25 a.m…

  19. SSC MTS • 2026

    The average of five numbers is 38. If one number is removed, then the average becomes 30. What is the removed number?

  20. SSC CHSL • 2024

    A man observed the top of an electric pole at angles of elevation of 60° and 30°, respectively, from two different observation points P and Q. If the distance between P and Q is 10 m, find the height of the pole (in m).

  21. SSC MTS • 2024

    Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete? EMU, DNT, COS, BPR, ?

  22. SSC MTS • 2024

    Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13…

  23. SSC CGL • 2023

    A six-digit number 11p9q4 is divisible by 24. The greatest possible value for pq is:

  24. SSC CGL • 2025

    A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 36 cm and height of the cone is 105 cm. The total surface area (in cm²) of the toy is:

  25. SSC CGL • 2016

    In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is:

  26. SSC CGL • 2017

    There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

  27. SSC CGL • 2018

    If [Image] and [Image] , then what is the value of 46x + 131y ?

  28. SSC MTS • 2024

    What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 110 + 54 × 9 − 13 ÷ 2 = ?

  29. SSC MTS • 2024

    Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13…

  30. SSC MTS • 2024

    P, Q, R, S, T, U and V are sitting around a circular table facing out to the centre (but not necessarily in the same order). P is sitting second to the left of U. R is sitting third to the right of S. S is an immediate neighbour of V. V is sitting to the…

  31. SSC CGL • 2019

    If _([Image]), then secθ is equal to ?

  32. SSC MTS • 2024

    Identify the figure given in the options which when put in place of ? will logically complete the series. [Image]

  33. SSC MTS • 2024

    What will come in place of the question mark (?) of the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 45 × 3 + 9 – 18 ÷ 1 = ?

  34. SSC CGL • 2019

    _([Image])is equal to ?

  35. SSC CGL • 2022

    O is a point in the interior of △ABC such that OA = 12 cm, OC = 9 cm, ∠AOB = ∠BOC = ∠COA and ∠ABC = 60º. What is the length (in cm) of OB?

  36. SSC MTS • 2024

    What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘÷‘ are interchanged and ‘×’ and ‘−’ are interchanged? 48 × 16 − 20 ÷ 21 + 7 = ?

  37. SSC CGL • 2023

    A basket contains 350 eggs. If 12% of the eggs are rotten, how many eggs are good enough to be sold?

  38. SSC CGL • 2025

    8 kg of maize costing ₹51 per kg, is mixed with 9 kg of maize costing ₹68 per kg. The average per kg price of mixed maize is:

  39. SSC CGL • 2016

    49 Kg of blended tea contain Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea is to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is

  40. SSC MTS • 2024

    EJ68 is related to OT55 in a certain way. In the same way, KP47 is related to UZ34. To which of the following is QV29 related, following the same logic?

  41. SSC MTS • 2024

    What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 12 ÷ 13 + 128 – 343 × 49 = ?

  42. SSC CGL • 2019

    In a circle with centre O, ABCD is a cyclic quadrilateral & AC is a diameter. Chords AB & CD are produced to meet at E. If ∠CAE = 34º and ∠E = 30º, then ∠CBD is equal to?

  43. SSC MTS • 2024

    What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 22 × 484 ÷ 44 – 93 + 12 = ?

  44. SSC MTS • 2024

    What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 135 × 5 – 12 ÷ 11 + 8 = ?

  45. SSC CGL • 2018

    Cost of 4 pens, 6 notebooks and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs.) of 5 pens, 8 notebooks and 16 files ?

  46. SSC MTS • 2024

    What will come in place of the question mark (?) of the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 17 – 9 + 20 × 4 ÷ 5 = ?

  47. SSC CGL • 2023

    The ratio of marks obtained by Rajesh, Rakesh and Ramesh in an exam is 2 : 4 : 9. What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?

  48. SSC CGL • 2020

    The ratio of the monthly incomes of X and Y is 5 : 4 and that of their monthly expenditures is 9 : 7. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y ?

  49. SSC MTS • 2024

    What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 56 – 14 × 7 ÷ 22 + 63 = ?

  50. SSC CGL • 2018

    If Rs 25,000 is to be divided between A, B and C in the ratio 1/10 : 1/6 : 1/15, then how much will C get (in Rs)?