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SBI Probationary Officer (PO) · Topic Collection

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
Showing questions 781–800 of 1345Page 40 of 68
SBI PO Prelims 1 Nov 2023 Memory Based Paper (Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 781

SBI Probationary Officer (PO) 2023• Quantitative Aptitude• Quantitative Aptitude

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

I. x2 + 2x – 8 = 0

II. y2 – 8y + 12 = 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: (d)D.

x ≤ y

Why this answer is correct

Calculation:

From I,

x2 + 2x – 8 = 0

⇒ x2 + 4x – 2x - 8 = 0

⇒ x(x + 4) – 2(x + 4) = 0

⇒ (x + 4)(x – 2) = 0

⇒ x = -4, 2

From II,

 y2 – 8y + 12 = 0

⇒ y2 – 2y – 6y + 12 = 0

⇒ y(y – 2) – 6(y – 2) = 0

⇒ (y – 2)(y – 6) = 0

⇒ y = 2, 6

Comparison between x and y (via Tabulation):

Value of xValue of yRelation
-42x < y
-46x < y
22x = y
26x < y

∴ x ≤ y

SBI PO Prelims 1 Nov 2023 Memory Based Paper (Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 782

SBI Probationary Officer (PO) 2023• Quantitative Aptitude• Quantitative Aptitude

Direction: Read the following question and answer the following

The number of products sold by A in 2015 is 1.5 times of the number of products sold by B in that year. Number of Products sold by A in 2017 is 14 more than that in 2015. In 2016 A sold 10% less products as compared to 2017. The Ratio of number of products sold by B in 2015 to that in 2017 is 3: 8. Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017. The number of products sold by B in 2016 is 1 more than that sold by it in 2015.

In 2017, A and B sold 40% and 64% of their respective products, then find the (approx) difference between the number of unsold products of A and B in 2017.

  1. AOption (a)

    7

  2. BOption (b)

    18

  3. COption (c)

    25

  4. DOption (d)

    21

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

7

Why this answer is correct

Let the number product sold by B 2015= x

The number of products sold by A in 2015  = 1.5 x

Number of Products sold by A in 2017 = 1.5x + 14

Number of Product sold by A in 2016 = (1.5x + 14)*0.9

Number of Product sold by B in 2016 = x + 1

Number of Product sold by B in 2017 = (8/3)x

Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017.

2x + (8/3)x + 1 = 1.5x + 14 + (8/3)x -1 

x = 24

201520162017
A364550
B242564

 

Product unsold by A in 2017 = 0.6 × 50 = 30

Product unsold by B in 2017 = 0.36 ×  64 = 23.04

Difference between unsold product = 30 - 23 = 7

SBI PO Prelims 1 Nov 2023 Memory Based Paper (Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 783

SBI Probationary Officer (PO) 2023• Quantitative Aptitude• Quantitative Aptitude

Direction: Read the following question and answer the following

The number of products sold by A in 2015 is 1.5 times of the number of products sold by B in that year. Number of Products sold by A in 2017 is 14 more than that in 2015. In 2016 A sold 10% less products as compared to 2017. The Ratio of number of products sold by B in 2015 to that in 2017 is 3: 8. Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017. The number of products sold by B in 2016 is 1 more than that sold by it in 2015.

If the number of products sold by C in 2017 is 25% more than the number of products sold by A in 2015, then find the sum of number of products sold by C in 2017 and that by B in 2016.

  1. AOption (a)

    92

  2. BOption (b)

    104

  3. COption (c)

    1101

  4. DOption (d)

    112

  5. EOption (e)

    70

View answer & explanation

Correct answer

Answer: (e)E.

70

Why this answer is correct

Let the number product sold by B 2015= x

The number of products sold by A in 2015  = 1.5 x

Number of Products sold by A in 2017 = 1.5x + 14

Number of Product sold by A in 2016 = (1.5x + 14)*0.9

Number of Product sold by B in 2016 = x + 1

Number of Product sold by B in 2017 = (8/3)x

Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017.

2x + (8/3)x + 1 = 1.5x + 14 + (8/3)x -1 

x = 24

201520162017
A364550
B242564

Product sold by C in 2017 = (5/4) * 36 = 45

Sum of number of products sold by C in 2017 and that by B in 2016 = 45 + 25 = 70

SBI PO Prelims 1 Nov 2023 Memory Based Paper (Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 784

SBI Probationary Officer (PO) 2023• Quantitative Aptitude• Quantitative Aptitude

Direction: Read the following question and answer the following

The number of products sold by A in 2015 is 1.5 times of the number of products sold by B in that year. Number of Products sold by A in 2017 is 14 more than that in 2015. In 2016 A sold 10% less products as compared to 2017. The Ratio of number of products sold by B in 2015 to that in 2017 is 3: 8. Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017. The number of products sold by B in 2016 is 1 more than that sold by it in 2015.

In 2016, if 40% of the number of products sold by A were sold in the local market and rest were transported to outside. Find the total number of products sold by A outside.

  1. AOption (a)

    27

  2. BOption (b)

    30

  3. COption (c)

    35

  4. DOption (d)

    25

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

27

Why this answer is correct

Let the number product sold by B 2015= x

The number of products sold by A in 2015  = 1.5 x

Number of Products sold by A in 2017 = 1.5x + 14

Number of Product sold by A in 2016 = (1.5x + 14)*0.9

Number of Product sold by B in 2016 = x + 1

Number of Product sold by B in 2017 = (8/3)x

Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017.

2x + (8/3)x + 1 = 1.5x + 14 + (8/3)x -1 

x = 24

201520162017
A364550
B242564

In 2016, if 40% of the number of products sold by A were sold in the local market and rest were transported to outside, means 60% is sold to outside market

Number of products sold by A outside = 60% of 45 = 27

SBI PO Prelims 1 Nov 2023 Memory Based Paper (Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 785

SBI Probationary Officer (PO) 2023• Quantitative Aptitude• Quantitative Aptitude

Direction: Read the following question and answer the following

The number of products sold by A in 2015 is 1.5 times of the number of products sold by B in that year. Number of Products sold by A in 2017 is 14 more than that in 2015. In 2016 A sold 10% less products as compared to 2017. The Ratio of number of products sold by B in 2015 to that in 2017 is 3: 8. Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017. The number of products sold by B in 2016 is 1 more than that sold by it in 2015.

In 2017, B sold two types of products i.e. type X and type Y. If out of the total products sold by B in 2017, 3/8th were of type Y, then find the ratio of number of products sold by A in 2015 and number of type X products sold by B in 2017?

  1. AOption (a)

    3:5

  2. BOption (b)

    3:4

  3. COption (c)

    9:10

  4. DOption (d)

    2:5

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

9:10

Why this answer is correct

Let the number product sold by B 2015= x

The number of products sold by A in 2015  = 1.5 x

Number of Products sold by A in 2017 = 1.5x + 14

Number of Product sold by A in 2016 = (1.5x + 14)*0.9

Number of Product sold by B in 2016 = x + 1

Number of Product sold by B in 2017 = (8/3)x

Total number of products sold by B in all the three years is 1 less than the number of products sold by A and B together in 2017.

2x + (8/3)x + 1 = 1.5x + 14 + (8/3)x -1 

x = 24

201520162017
A364550
B242564

In 2017, B sold two types of products i.e. type X and type Y. If out of the total products sold by B in 2017, 3/8th were of type Y, then find the ratio of number of products sold by A in 2015 and number of type X products sold by B in 2017?

Number of type Y sold by B in 2017 = (3/8) * 64 = 24 

Number of type X sold by B in 2017 = 64 - 24 = 40

Ratio of of number of products sold by A in 2015 and number of type X products sold by B in 2017 = 36 : 40 = 9 : 10

SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 786

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

Directions (31-35) : Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T) . Read the following line graph carefully and answer the questions given below.

If average number of employees in 18 departments of company S is 45, then find the average number of employees in remaining departments of company S.

  1. AOption (a)

    78

  2. BOption (b)

    70

  3. COption (c)

    76

  4. DOption (d)

    72

  5. EOption (e)

    77

View answer & explanation

Correct answer

Answer: (b)B.

70

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 787

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

Directions (31-35) : Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T) . Read the following line graph carefully and answer the questions given below.

Find the ratio of total number of employees in all the departments of company T to that of company Q.

  1. AOption (a)

    25 :24

  2. BOption (b)

    25 :23

  3. COption (c)

    25 :27

  4. DOption (d)

    25 :29

  5. EOption (e)

    25 :21

View answer & explanation

Correct answer

Answer: (a)A.

25 :24

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 788

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

Directions (31-35) : Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T) . Read the following line graph carefully and answer the questions given below.

Total number of employees in all the departments of company P is what percent more or less than that of company R.

  1. AOption (a)

    34.25%

  2. BOption (b)

    32.25%

  3. COption (c)

    38.25%

  4. DOption (d)

    31.25%

  5. EOption (e)

    36.25%

View answer & explanation

Correct answer

Answer: (d)D.

31.25%

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 789

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

Directions (31-35) : Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T) . Read the following line graph carefully and answer the questions given below.

Number of departments in company U is 40% more than that of in company R and the ratio of total number of employees in all the departments of company P to that of in company U is 3:2. Find the average number of employees in all the department of company U.

  1. AOption (a)

    18

  2. BOption (b)

    26

  3. COption (c)

    28

  4. DOption (d)

    22

  5. EOption (e)

    25

View answer & explanation

Correct answer

Answer: (e)E.

25

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 790

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

Directions (31-35) : Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T) . Read the following line graph carefully and answer the questions given below.

Find the average of total number of employees in all the departments of P, Q and S.

  1. AOption (a)

    1125

  2. BOption (b)

    1105

  3. COption (c)

    1025

  4. DOption (d)

    859

  5. EOption (e)

    954

View answer & explanation

Correct answer

Answer: (a)A.

1125

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 791

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

Q36. A and B started a business by investing Rs.4200 and Rs.5600 respectively. After four months, A withdrew 25% of his initial investment and B withdrew Rs.1600. At the end of a year, the difference between profit share of A and B is Rs.2480. Find the profit share of B.

  1. AOption (a)

    Rs.10250

  2. BOption (b)

    Rs.10560

  3. COption (c)

    Rs.10120

  4. DOption (d)

    Rs.10980

  5. EOption (e)

    Rs.10880

View answer & explanation

Correct answer

Answer: (e)E.

Rs.10880

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 792

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

Q37. Train P of length 540 meters crosses a bridge in 22 seconds and crosses a tree in 18 seconds. Ratio of speed of train P to train Q is 5:2 and train Q crosses a pole in 20 seconds. Find the length of bridge is what percent of length of the train Q?

  1. AOption (a)

    50%

  2. BOption (b)

    60%

  3. COption (c)

    55%

  4. DOption (d)

    65%

  5. EOption (e)

    75%

View answer & explanation

Correct answer

Answer: (a)A.

50%

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 793

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

Q38. A borrowed Rs.8000 from C at the rate of 20% compound interest for two years. He gives this amount to B at a certain rate on simple interest for two years. If the difference between both the interests is Rs.2040, then find the rate of interest at A gave the amount to B.
(

Note:

Compound interest paid by A is more than the simple interest he received from B)

  1. AOption (a)

    9.25%

  2. BOption (b)

    5.25%

  3. COption (c)

    8.25%

  4. DOption (d)

    4.25%

  5. EOption (e)

    11.25%

View answer & explanation

Correct answer

Answer: (a)A.

9.25%

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 794

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

Q39. A group of seven persons has an average weight of 40 kg. One person in the group is replaced by a new person whose weight is 60 kg and the average weight is increased by two kgs. Find the weight of the person who gets replaced.

  1. AOption (a)

    48 kg

  2. BOption (b)

    44.5 kg

  3. COption (c)

    40.5 kg

  4. DOption (d)

    44 kg

  5. EOption (e)

    46 kg

View answer & explanation

Correct answer

Answer: (e)E.

46 kg

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 795

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

Q40. The ratio of time taken by a man, a woman and a child to complete a work individually is 1 : 2 : 3 respectively. If 10 men, 15 women and 18 children together start the work and total wage they received is Rs. 1410, then find total wage for 10 men, 12 women and 15 children?

  1. AOption (a)

    1260 Rs.

  2. BOption (b)

    1280 Rs.

  3. COption (c)

    1480 Rs.

  4. DOption (d)

    1680 Rs.

  5. EOption (e)

    1180 Rs.

View answer & explanation

Correct answer

Answer: (a)A.

1260 Rs.

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 796

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

Hemant monthly expenditure is 72% of his income. If his income is increased by 13%, then his expenditure and saving increased by Rs. 2160 and 31% respectively. Find his new expenditure.

  1. AOption (a)

    Rs. 36000

  2. BOption (b)

    Rs. 50000

  3. COption (c)

    Rs. 39960

  4. DOption (d)

    Rs. 38160

  5. EOption (e)

    Rs. 30000

View answer & explanation

Correct answer

Answer: (d)D.

Rs. 38160

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 797

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

Four years hence, the ratio of ages of P and Q will be 3 : 5 respectively. The ratio of present ages of R and Q is 5 : 6 respectively. After six years, if the sum of the ages of P and R will be 62 years, then find sum of the present ages of P and Q?

  1. AOption (a)

    64 years

  2. BOption (b)

    48 years

  3. COption (c)

    52 years

  4. DOption (d)

    56 years

  5. EOption (e)

    72 years

View answer & explanation

Correct answer

Answer: (d)D.

56 years

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 798

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

Length of a rectangular field is 200% of radius of a circular field, having circumference 264 meters. If area of rectangular field is 2016 meters square, then find radius of circular field is what percent more than breadth of rectangular field?

  1. AOption (a)

    75%

  2. BOption (b)

    125%

  3. COption (c)

    50%

  4. DOption (d)

    25%

  5. EOption (e)

    87.5%

View answer & explanation

Correct answer

Answer: (a)A.

75%

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 799

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

Aman sells two articles A and B. Aman sold article A at 24% profit and sold article B at 12% loss. If ratio of cost price of articles A and B is 2:3 respectively and total profit earned by Aman is Rs.300, then find difference in selling price of article A and B.

  1. AOption (a)

    Rs.200

  2. BOption (b)

    Rs.400

  3. COption (c)

    Rs.600

  4. DOption (d)

    Rs.300

  5. EOption (e)

    Rs.500

View answer & explanation

Correct answer

Answer: (b)B.

Rs.400

Explanation not yet available.
SBI Probationary Officer (PO) 2022 Previous Year Paper Shift 1·Quantitative Aptitude
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Question 800

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

Time taken by a boat to cover 96 km in downstream is 25% less than the time taken by the same boat to cover same distance in upstream. If boat covers 36 km in upstream in 1.5 hours, then find speed of boat in still water.

  1. AOption (a)

    20 km/hr.

  2. BOption (b)

    24 km/hr.

  3. COption (c)

    30 km/hr.

  4. DOption (d)

    32 km/hr.

  5. EOption (e)

    28 km/hr.

View answer & explanation

Correct answer

Answer: (e)E.

28 km/hr.

Explanation not yet available.
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How should I prepare for Quantitative Aptitude in SBI Probationary Officer (PO)?

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.