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IBPS Probationary Officer (PO) · Topic Collection

Quantitative Aptitude PYQs

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

1305 Total Questions38 Official PapersYears: 2021–2026Search in Quantitative Aptitude
Showing questions 261–280 of 1305Page 14 of 66
IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 1) (Previous Year Paper)·Quantitative Aptitude
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Question 261

IBPS Probationary Officer (PO) 2025• Quantitative Aptitude• Quantitative Aptitude

The bar graph shows the number of people register and number of people participate in an event.

Note - Total number people register = Number of people participate + Number of people not participate

Find the ratio of total people who did not participate in A and C together to total people who participated in B and E together.

  1. AOption (a)

    6:7

  2. BOption (b)

    11:42

  3. COption (c)

    11:37

  4. DOption (d)

    1:3

  5. EOption (e)

    4:5

View answer & explanation

Correct answer

Answer: (b)B.

11:42

Why this answer is correct

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Not Participate

A = 45, C = 65 → Total = 110

Participate

B = 195, E = 225 → Total = 420

Formula Used:

⇒ Required Ratio = Value₁ : Value₂

Calculation:

⇒ 110 : 420

⇒ Divide by 10

⇒ 11 : 42

Answer: 11 : 42

IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 1) (Previous Year Paper)·Quantitative Aptitude
View full paper

Question 262

IBPS Probationary Officer (PO) 2025• Quantitative Aptitude• Quantitative Aptitude

The bar graph shows the number of people register and number of people participate in an event.

Note - Total number people register = Number of people participate + Number of people not participate

If from each office, 10% of registered people are removed, and from remaining people only original participants stay same, then find the total number of new non-participants across all offices?

  1. AOption (a)

    134%

  2. BOption (b)

    112%

  3. COption (c)

    108%

  4. DOption (d)

    120%

  5. EOption (e)

    129%

View answer & explanation

Correct answer

Answer: (b)B.

112%

Why this answer is correct

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

Total Registered = 230 + 220 + 240 + 280 + 260 = 1230

Participants = 185 + 195 + 175 + 215 + 225 = 995

Formula Used:

⇒ New Registered = 90% of Total

⇒ New Not Participate = New Registered – Participants

Calculation:

⇒ New Registered = 1230 × 90% = 1107

⇒ New Not Participate = 1107 − 995 = 112

Answer: 112

IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 1) (Previous Year Paper)·Quantitative Aptitude
View full paper

Question 263

IBPS Probationary Officer (PO) 2025• Quantitative Aptitude• Quantitative Aptitude

The bar graph shows the number of people register and number of people participate in an event.

Note - Total number people register = Number of people participate + Number of people not participate

If number of participants in D increases by 20% and in C decreases by 10%, then find the Participants in D is approximately what percent of participants in C after change?

  1. AOption (a)

    223%

  2. BOption (b)

    153%

  3. COption (c)

    140%

  4. DOption (d)

    164%

  5. EOption (e)

    147%

View answer & explanation

Correct answer

Answer: (d)D.

164%

Why this answer is correct

Common Calculation

Formula Used:

⇒ Not Participate = Registered − Participate

Calculation:

⇒ A = 230 − 185 = 45

⇒ B = 220 − 195 = 25

⇒ C = 240 − 175 = 65

⇒ D = 280 − 215 = 65

⇒ E = 260 − 225 = 35

Given:

C = 175, D = 215

Formula Used:

⇒ Increase = Value × %

⇒ Decrease = Value × %

Calculation:

⇒ D new = 215 + (20% of 215)

⇒ 215 + 43 = 258

⇒ C new = 175 − (10% of 175)

⇒ 175 − 17.5 = 157.5

⇒ % = (258 / 157.5) × 100

⇒ 163.81%

Answer: 164%

IBPS PO Prelims Memory Based Paper (Held On: 24 August 2025 Shift 1) (Previous Year Paper)·Quantitative Aptitude
View full paper

Question 264

IBPS Probationary Officer (PO) 2025• Quantitative Aptitude• Quantitative Aptitude

Rs. [x + 200] invest for 2 years at 20% rate of interest of compound interest and Rs. [x + 600] invest at 10% rate of compound interest for 2 years. If the ratio of interest is 11:7 then find the value of x?

  1. AOption (a)

    1800

  2. BOption (b)

    1600

  3. COption (c)

    800

  4. DOption (d)

    1000

  5. EOption (e)

    1200

View answer & explanation

Correct answer

Answer: (d)D.

1000

Why this answer is correct

Shortcut Trick

Effective Compound Interest rate for 2 years at 20% = 20 + 20 + (20×20)/100 = 44%.

Effective Compound Interest rate for 2 years at 10% = 10 + 10 + (10×10)/100 = 21%.

Ratio of Interest = [44% of (x + 200)] / [21% of (x + 600)] = 11 / 7.

4 × (x + 200) / [3 × (x + 600)] = 1 / 1 ⇒ 4x + 800 = 3x + 1800 ⇒ x = 1000.

∴ The correct answer is 1000.

Alternate Method

Given:

P1 = ₹(x + 200), R1 = 20%, T = 2 years

P2 = ₹(x + 600), R2 = 10%, T = 2 years

Formula Used: CI = P[(1 + R/100)n − 1]

Calculations:

⇒ CI1 = (x + 200) × [(1 + 20/100)2 − 1] = (x + 200) × 0.44

⇒ CI2 = (x + 600) × [(1 + 10/100)2 − 1] = (x + 600) × 0.21

⇒ [(x + 200) × 0.44] / [(x + 600) × 0.21] = 11 / 7

⇒ [44 × (x + 200)] / [21 × (x + 600)] = 11 / 7

⇒ [4 × (x + 200)] / [3 × (x + 600)] = 1 / 1

⇒ 4x + 800 = 3x + 1800

⇒ x = 1000

∴ The correct answer is 1000.

Additional Information

Effective Interest Rate Formula

For compound interest over 2 years, the effective rate can be calculated using the successive percentage formula: Reff = R + R + (R×R)/100.

Compound Interest vs Simple Interest

The difference between CI and SI for 2 years is P(R/100)2. For 1 year, CI and SI are equal if interest is compounded annually.

Quarterly/Half-Yearly Compounding

If compounded half-yearly, the rate becomes R/2 and time becomes 2T. If quarterly, the rate becomes R/4 and time becomes 4T.

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How should I prepare for Quantitative Aptitude in IBPS 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.