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Quantitative Aptitude PYQs

Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.

1345 Total Questions41 Official PapersYears: 2018–2025Search in Quantitative Aptitude
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SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 841

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Directions (51-54): Read the following information carefully and answer the questions given below.
In society A, some people like three different types of music i.e. jazz, rock & folk. People who like only jazz and only rock are in the ratio of 4:3 respectively and people who like all the three types of music is 15. People who like only folk is 50 and people who like jazz is 140. People who like both jazz & folk is 20 and people who like both rock & folk is 50% more than the people who like both jazz & folk. People who like both jazz & rock is average of people who like both jazz & folk and like both rock & folk.

Q51. Find the total number of people who like rock music is what percent of total number of people like only folk music?

  1. AOption (a)

    260%

  2. BOption (b)

    210%

  3. COption (c)

    180%

  4. DOption (d)

    280%

  5. EOption (e)

    150%

View answer & explanation

Correct answer

Answer: (a)A.

260%

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 842

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Directions (51-54): Read the following information carefully and answer the questions given below.
In society A, some people like three different types of music i.e. jazz, rock & folk. People who like only jazz and only rock are in the ratio of 4:3 respectively and people who like all the three types of music is 15. People who like only folk is 50 and people who like jazz is 140. People who like both jazz & folk is 20 and people who like both rock & folk is 50% more than the people who like both jazz & folk. People who like both jazz & rock is average of people who like both jazz & folk and like both rock & folk.

Q52. Find the total number of people who like at most one type of music.

  1. AOption (a)

    90

  2. BOption (b)

    175

  3. COption (c)

    100

  4. DOption (d)

    125

  5. EOption (e)

    190

View answer & explanation

Correct answer

Answer: (e)E.

190

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 843

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Directions (51-54): Read the following information carefully and answer the questions given below.
In society A, some people like three different types of music i.e. jazz, rock & folk. People who like only jazz and only rock are in the ratio of 4:3 respectively and people who like all the three types of music is 15. People who like only folk is 50 and people who like jazz is 140. People who like both jazz & folk is 20 and people who like both rock & folk is 50% more than the people who like both jazz & folk. People who like both jazz & rock is average of people who like both jazz & folk and like both rock & folk.

Q53. Find the total number of people who like only jazz music is how much more/less than the total number of people who like at least two types of music.

  1. AOption (a)

    20

  2. BOption (b)

    18

  3. COption (c)

    12

  4. DOption (d)

    10

  5. EOption (e)

    5

View answer & explanation

Correct answer

Answer: (d)D.

10

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 844

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Directions (51-54): Read the following information carefully and answer the questions given below.
In society A, some people like three different types of music i.e. jazz, rock & folk. People who like only jazz and only rock are in the ratio of 4:3 respectively and people who like all the three types of music is 15. People who like only folk is 50 and people who like jazz is 140. People who like both jazz & folk is 20 and people who like both rock & folk is 50% more than the people who like both jazz & folk. People who like both jazz & rock is average of people who like both jazz & folk and like both rock & folk.

Q54. Find the respective ratio of total number of people who like both jazz & folk music to that of both rock & jazz music.

  1. AOption (a)

    4:7

  2. BOption (b)

    4:5

  3. COption (c)

    2:5

  4. DOption (d)

    6:5

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

4:5

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 845

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

A spend 10% of his monthly income on rent, 20% of the remaining on food and 50% of the remaining on travelling. If the difference between the amount he spends on travelling and that on rent is Rs.13000, then find the monthly income (in Rs.) of A?

  1. AOption (a)

    Rs.40000

  2. BOption (b)

    Rs.50000

  3. COption (c)

    Rs.30000

  4. DOption (d)

    Rs.20000

  5. EOption (e)

    Rs.55000a

View answer & explanation

Correct answer

Answer: (b)B.

Rs.50000

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 846

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Q56. A container contains 90 liters of milk and 18 liters of water. If X liter of mixture is taken out and 6 liter of water is added the new ratio of milk to water became 5:2, then find the value of X?

  1. AOption (a)

    36

  2. BOption (b)

    24

  3. COption (c)

    72

  4. DOption (d)

    90

  5. EOption (e)

    18

View answer & explanation

Correct answer

Answer: (c)C.

72

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 847

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Q57. A started a business with an investment of Rs.1200. After some months, B join the business with an investment of Rs.3600 and after two more months C joins the business with Rs.2800. If the annual profit share of A and B is equal, then find for how many months C invested his money?

  1. AOption (a)

    5 months

  2. BOption (b)

    4 months

  3. COption (c)

    8 months

  4. DOption (d)

    2 months

  5. EOption (e)

    1 months

View answer & explanation

Correct answer

Answer: (d)D.

2 months

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 848

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Q58. A man invested some amount at R% per annum on simple interest for eight years in scheme X. He also invested same amount at (R+4) % per annum on simple interest for same period of time in scheme Y. If interest received from scheme Y is Rs.1152 more than that from scheme X, then find the amount (in Rs.).

  1. AOption (a)

    3000

  2. BOption (b)

    2400

  3. COption (c)

    4000

  4. DOption (d)

    3600

  5. EOption (e)

    4200

View answer & explanation

Correct answer

Answer: (d)D.

3600

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 849

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Q59. Train ‘A’ can cross a pole and 200 meters long platform in 16 seconds & 24 seconds respectively. Find time taken by train ‘A’ to cross another train’ B’, which length is 480 meters and running at the speed of 108 km/hr in opposite direction.

  1. AOption (a)

    25 seconds

  2. BOption (b)

    24 seconds

  3. COption (c)

    18 seconds

  4. DOption (d)

    20 seconds

  5. EOption (e)

    16 seconds

View answer & explanation

Correct answer

Answer: (e)E.

16 seconds

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 850

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

Q60. The average of present age of A, B and C is 29 years. If age of A is two years less than that of B and age of B is eight years less than C, then find the present age of A.

  1. AOption (a)

    27 years

  2. BOption (b)

    21 years

  3. COption (c)

    22 years

  4. DOption (d)

    25 years

  5. EOption (e)

    24 years

View answer & explanation

Correct answer

Answer: (d)D.

25 years

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 851

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

X number of men can do a work in (X – 28) days, while (X + 12) number of men can do the same work in (X – 32) days. Find ¾ X women together can do the same work in how many days.

  1. AOption (a)

    77/3 days

  2. BOption (b)

    92/3 days

  3. COption (c)

    91/3 days

  4. DOption (d)

    80/3 days

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

80/3 days

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 852

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

A boat covers 22.4 km in downstream in 48 minutes and the speed of the stream is 40% of the speed of the boat in still water. Find the ratio of time taken by boat to cover 54 km in upstream to the time taken by boat to cover 210 km in downstream respectively?

  1. AOption (a)

    5 : 3

  2. BOption (b)

    3 : 5

  3. COption (c)

    3 : 4

  4. DOption (d)

    2 : 3

  5. EOption (e)

    1 : 3

View answer & explanation

Correct answer

Answer: (b)B.

3 : 5

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 853

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

The sum of the length of two rectangles P and Q is 60 cm, while their breadths are 16 cm and 12 cm respectively. If the ratio of the area of rectangles P to that of Q is 8 : 3, then find the difference between perimeters of these two rectangles?

  1. AOption (a)

    48 cm

  2. BOption (b)

    32 cm

  3. COption (c)

    64 cm

  4. DOption (d)

    72 cm

  5. EOption (e)

    56 cm

View answer & explanation

Correct answer

Answer: (a)A.

48 cm

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 854

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

A man invested some amount, out of Rs.47000 he invested on simple interest at 12 p.a. for two years and rest amount on compound interest also for two years at 15% p.a. If compound interest received by is Rs.532.5 more than simple interest, then find amount invested by man on compound interest?

  1. AOption (a)

    Rs.23000

  2. BOption (b)

    Rs.22000

  3. COption (c)

    Rs.21000

  4. DOption (d)

    Rs.25000

  5. EOption (e)

    Rs.24000

View answer & explanation

Correct answer

Answer: (c)C.

Rs.21000

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper·Quantitative Aptitude
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Question 855

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

The ratio of cost price of a pen to that of a pencil is 3:4 and shopkeeper marked each of pen and pencil 20% above their respective cost prices. If shopkeeper allowed 10% discount on each of pen & pencil and earned a total of Rs. 2.8 on selling a pen & a pencil, then find the cost price of a pen.

  1. AOption (a)

    Rs.25

  2. BOption (b)

    Rs.15

  3. COption (c)

    Rs.35

  4. DOption (d)

    Rs.45

  5. EOption (e)

    Rs.55

View answer & explanation

Correct answer

Answer: (b)B.

Rs.15

Explanation not yet available.
SBI PO Prelims Memory Based Paper (Held On: 18 Dec 2022 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 856

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

l. x2 – 13x + 40 = 0

ll. y2 – 13y + 42 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relation between them cannot be established

View answer & explanation

Correct answer

Answer: (e)E.

x = y or relation between them cannot be established

Why this answer is correct

Calculation:

⇒ x2 - 13x + 40 = 0

⇒ x2 - 8x - 5x + 40 = 0

⇒ x(x - 8) - 5(x - 8) = 0

⇒ (x - 8) (x - 5) = 0

⇒ x = 8, 5

⇒ y2 – 13y + 42 = 0

⇒ y2 – 6y – 7y + 42 = 0

⇒ y (y - 6) – 7(y – 6) = 0

⇒ (y - 6) (y - 7) = 0

⇒ y = 6, 7

Value of xValue of yRelation
86x > y
87x > y
56x < y
57x < y

∴ The relation between x and y cannot be established

SBI PO Prelims Memory Based Paper (Held On: 18 Dec 2022 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 857

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 + 8x + 12 = 0

II. y2 + 14y + 24 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x ≥ y

  3. COption (c)

    x < y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established

View answer & explanation

Correct answer

Answer: (e)E.

x = y or relationship between x and y cannot be established

Why this answer is correct

Calculation:

I. x2 + 8x + 12 = 0

⇒ x2 + 6x + 2x + 12 = 0

⇒ x(x + 6) + 2(x + 6) = 0

⇒ (x + 6) (x + 2) =0

⇒ x = –6, –2

II. y2 + 14y + 24 = 0

⇒ y2 + 12x + 2x + 24 = 0

⇒ y(y + 12) + 2(x + 12) = 0

⇒ (y + 12) (x + 2) = 0

⇒ y = –12, –2

Comparison between x and y (via tabulation):

XYRelation
–6–12x > y
–6–2x < y
–2–12x > y
–2–2x =y

 

∴ x = y or relationship between x and y cannot be established

SBI PO Prelims Memory Based Paper (Held On: 18 Dec 2022 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 858

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 – 9x + 18 = 0

II. y2 – 15y + 56 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x ≥ y

  3. COption (c)

    x < y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relationship between x and y cannot be established

View answer & explanation

Correct answer

Answer: (c)C.

x < y

Why this answer is correct

Calculation:

I. x2 – 9x + 18 = 0

⇒ x2 – 6x – 3x + 18 = 0

⇒ x(x – 6) – 3(x – 6) = 0

⇒ (x – 6) (x – 3) = 0

⇒ x = 6, 3

II. y2 – 15y + 56 = 0

⇒ y2 – 8y – 7y + 56 = 0

⇒ y(y – 8) – 7(y – 8) = 0

⇒ (y – 8) (y – 7) = 0

⇒ y = 8, 7

Comparison between x and y (via tabulation):

XYRelation
68x < y
67x < y
38x < y
37x < y

∴ x < y

SBI PO Prelims Memory Based Paper (Held On: 18 Dec 2022 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 859

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

In the given question, two questions numbered I and II are given. Solve both the equations and mark the appropriate answer.

I. x2 - 35x + 124 = 0

II. y2 + 21y - 130 = 0

  1. AOption (a)

    x > y

  2. BOption (b)

    x < y

  3. COption (c)

    x ≥ y

  4. DOption (d)

    x ≤ y

  5. EOption (e)

    x = y or relation between x and y can't be established.

View answer & explanation

Correct answer

Answer: (e)E.

x = y or relation between x and y can't be established.

Why this answer is correct

Given:

I. x2 - 35x + 124 = 0

II. y2 + 21y - 130 = 0

Calculation:

From I,

x2 - 35x + 124 = 0

⇒ x2 - 31x - 4x + 124 = 0

⇒ x(x - 31) - 4(x - 31) = 0

⇒ (x - 31)(x - 4) = 0

Taking,

⇒ (x - 31) = 0 or (x - 4) = 0

⇒ x = 31 or 4

From II,

y2 + 21y - 130 = 0

⇒ y2 + 26y - 5y - 130 = 0

⇒ y(y + 26) - 5(y + 26) = 0

⇒ (y + 26)(y - 5) = 0

Taking,

⇒ (y + 26) = 0 or (y - 5) = 0

⇒ y = -26 or 5

Comparison between x and y (via Tabulation):

Value of xValue of yRelation
31-26x > y
315x > y
4-26x > y
45x < y

 

∴ x = y or relation between x and y can not be established.

SBI PO Prelims Memory Based Paper (Held On: 18 Dec 2022 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 860

SBI Probationary Officer (PO) 2022• Quantitative Aptitude• Quantitative Aptitude

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. 4x2 + 18x + 20 = 0

II. 3y2 + 24y - 60 = 0

  1. AOption (a)

    x < y

  2. BOption (b)

    x > y

  3. COption (c)

    x ≤ y

  4. DOption (d)

    x ≥ y

  5. EOption (e)

    No relation in x and y or x = y

View answer & explanation

Correct answer

Answer: (e)E.

No relation in x and y or x = y

Why this answer is correct

Given:

I. 4x2 + 18x + 20 = 0

II. 3y2 + 24y - 60 = 0

Calculation:

From I

4x2 + 18x + 20 = 0

⇒ 2x2 + 9x + 10 = 0

⇒ 2x2 + 4x + 5x + 10 = 0

⇒ 2x(x + 2) + 5(x + 2) = 0

⇒ (x + 2)(2x + 5) = 0

⇒ x = -2, -5/2

From II

3y2 + 24y - 60 = 0

⇒ y2 + 8y - 20 = 0

⇒ y2 + 10y - 2y - 20 = 0

⇒ y(y + 10) - 2(y + 10) = 0

⇒ (y + 10)(y - 2) = 0

⇒ y = -10, 2

Comparison between x and y (via Tabulation)

Value of xValue of yRelation between
x & y
-2-10x > y
-22x < y
-5/2-10x > y
-5/22x < y

∴ No relation in x and y or x = y

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Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.