SBI Clerk · Topic Collection

Quantitative Aptitude PYQs

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

1495 Total Questions38 Official PapersYears: 2018–2025Search in Quantitative Aptitude

Showing questions 341–360 of 1495Page 18 of 75

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 341

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

The table below shows partial data regarding the distribution of employees into Managers and Clerks, and their gender, across five different companies (A, B, C, D, and E).

Company	Total Employees	Ratio of Managers to Clerks	Total Male Employees	Number of Female Managers
A	800	1:3	480	80
B	1200	1:5	-	120
C	1000	-	500	100
D	-	1:2	1050	150
E	900	2:7	360	-

Additional Notes:

The total number of employees in all five companies combined is 5400.
The total number of managers in company C is 300.
The total number of female employees in company B is 540.
The number of male clerks in company E is 220.

Find the difference between the total number of male employees in all five companies and the total number of female employees in all five companies.

AOption (a)
600
BOption (b)
700
COption (c)
750
DOption (d)
650
EOption (e)
800

View answer & explanation

Correct answer

700

Why this answer is correct

General Solution:

Known totals: A = 800, B = 1200, C = 1000, E = 900 ⇒ sum = 3,900 ⇒ D total = 5,400 − 3,900 = 1,500.

Use ratios to get Managers (M) and Clerks (Ck):

A (1:3): Managers = 800 × 1/4 = 200; Clerks = 600

B (1:5): Managers = 1200 × 1/6 = 200; Clerks = 1000

C: Managers given = 300; Clerks = 700

D (1:2): Managers = 1500 × 1/3 = 500; Clerks = 1000

E (2:7): Managers = 900 × 2/9 = 200; Clerks = 700

Use given male totals / female totals:

Company A: Total male = 480 ⇒ male managers = 200 − 80 = 120; male clerks = 480 − 120 = 360; female clerks = 600 − 360 = 240; female total = 320.

Company B: Female total = 540 ⇒ male total = 1200 − 540 = 660. Male managers = 200 − 120 = 80; male clerks = 660 − 80 = 580; female clerks = 1000 − 580 = 420.

Company C: Total male = 500 ⇒ male managers = 300 − 100 = 200; male clerks = 500 − 200 = 300; female clerks = 700 − 300 = 400.

Company D: Total male = 1050 ⇒ male managers = 500 − 150 = 350; male clerks = 1050 − 350 = 700; female clerks = 1000 − 700 = 300; female total = 450.

Company E: Total male = 360 (given), male clerks = 220 (given) ⇒ male managers = 360 − 220 = 140; female managers = 200 − 140 = 60; female clerks = 700 − 220 = 480; female total = 540.

Calculation:

Total male = A(480) + B(660) + C(500) + D(1050) + E(360) = 3,050

Total female = 5,400 − 3,050 = 2,350

Difference = 3,050 − 2,350 = 700

Hence, the correct answer is 700.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 342

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

The table below shows partial data regarding the distribution of employees into Managers and Clerks, and their gender, across five different companies (A, B, C, D, and E).

Company	Total Employees	Ratio of Managers to Clerks	Total Male Employees	Number of Female Managers
A	800	1:3	480	80
B	1200	1:5	-	120
C	1000	-	500	100
D	-	1:2	1050	150
E	900	2:7	360	-

Additional Notes:

The total number of employees in all five companies combined is 5400.
The total number of managers in company C is 300.
The total number of female employees in company B is 540.
The number of male clerks in company E is 220.

If 25% of the female managers from company E leave the company and are replaced by an equal number of new male managers, what will be the new total number of male managers in company E?

AOption (a)
125
BOption (b)
155
COption (c)
145
DOption (d)
160
EOption (e)
150

View answer & explanation

Correct answer

155

Why this answer is correct

General Solution:

Known totals: A = 800, B = 1200, C = 1000, E = 900 ⇒ sum = 3,900 ⇒ D total = 5,400 − 3,900 = 1,500.

Use ratios to get Managers (M) and Clerks (Ck):

A (1:3): Managers = 800 × 1/4 = 200; Clerks = 600

B (1:5): Managers = 1200 × 1/6 = 200; Clerks = 1000

C: Managers given = 300; Clerks = 700

D (1:2): Managers = 1500 × 1/3 = 500; Clerks = 1000

E (2:7): Managers = 900 × 2/9 = 200; Clerks = 700

Use given male totals / female totals:

Company A: Total male = 480 ⇒ male managers = 200 − 80 = 120; male clerks = 480 − 120 = 360; female clerks = 600 − 360 = 240; female total = 320.

Company B: Female total = 540 ⇒ male total = 1200 − 540 = 660. Male managers = 200 − 120 = 80; male clerks = 660 − 80 = 580; female clerks = 1000 − 580 = 420.

Company C: Total male = 500 ⇒ male managers = 300 − 100 = 200; male clerks = 500 − 200 = 300; female clerks = 700 − 300 = 400.

Company D: Total male = 1050 ⇒ male managers = 500 − 150 = 350; male clerks = 1050 − 350 = 700; female clerks = 1000 − 700 = 300; female total = 450.

Company E: Total male = 360 (given), male clerks = 220 (given) ⇒ male managers = 360 − 220 = 140; female managers = 200 − 140 = 60; female clerks = 700 − 220 = 480; female total = 540.

Calculation:

Female managers in E = 60. 25% leave ⇒ 0.25 × 60 = 15 leave.

They are replaced by 15 new male managers ⇒ male managers increase from 140 to 140 + 15 = 155.

Hence, the correct answer is 155.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 343

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

The table below shows partial data regarding the distribution of employees into Managers and Clerks, and their gender, across five different companies (A, B, C, D, and E).

Company	Total Employees	Ratio of Managers to Clerks	Total Male Employees	Number of Female Managers
A	800	1:3	480	80
B	1200	1:5	-	120
C	1000	-	500	100
D	-	1:2	1050	150
E	900	2:7	360	-

Additional Notes:

The total number of employees in all five companies combined is 5400.
The total number of managers in company C is 300.
The total number of female employees in company B is 540.
The number of male clerks in company E is 220.

The total number of female employees in company D is what percentage of the total number of male employees in company A?

AOption (a)
80.11%
BOption (b)
106.67%
COption (c)
75.33%
DOption (d)
93.75%
EOption (e)
110.54%

View answer & explanation

Correct answer

93.75%

Why this answer is correct

General Solution:

Known totals: A = 800, B = 1200, C = 1000, E = 900 ⇒ sum = 3,900 ⇒ D total = 5,400 − 3,900 = 1,500.

Use ratios to get Managers (M) and Clerks (Ck):

A (1:3): Managers = 800 × 1/4 = 200; Clerks = 600

B (1:5): Managers = 1200 × 1/6 = 200; Clerks = 1000

C: Managers given = 300; Clerks = 700

D (1:2): Managers = 1500 × 1/3 = 500; Clerks = 1000

E (2:7): Managers = 900 × 2/9 = 200; Clerks = 700

Use given male totals / female totals:

Company A: Total male = 480 ⇒ male managers = 200 − 80 = 120; male clerks = 480 − 120 = 360; female clerks = 600 − 360 = 240; female total = 320.

Company B: Female total = 540 ⇒ male total = 1200 − 540 = 660. Male managers = 200 − 120 = 80; male clerks = 660 − 80 = 580; female clerks = 1000 − 580 = 420.

Company C: Total male = 500 ⇒ male managers = 300 − 100 = 200; male clerks = 500 − 200 = 300; female clerks = 700 − 300 = 400.

Company D: Total male = 1050 ⇒ male managers = 500 − 150 = 350; male clerks = 1050 − 350 = 700; female clerks = 1000 − 700 = 300; female total = 450.

Company E: Total male = 360 (given), male clerks = 220 (given) ⇒ male managers = 360 − 220 = 140; female managers = 200 − 140 = 60; female clerks = 700 − 220 = 480; female total = 540.

Calculation:

Female total (D) = 450.

Male total (A) = 480.

Percentage = (450 / 480) × 100 = 93.75%.

Hence, the correct answer is 93.75%.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 344

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

The table below shows partial data regarding the distribution of employees into Managers and Clerks, and their gender, across five different companies (A, B, C, D, and E).

Company	Total Employees	Ratio of Managers to Clerks	Total Male Employees	Number of Female Managers
A	800	1:3	480	80
B	1200	1:5	-	120
C	1000	-	500	100
D	-	1:2	1050	150
E	900	2:7	360	-

Additional Notes:

The total number of employees in all five companies combined is 5400.
The total number of managers in company C is 300.
The total number of female employees in company B is 540.
The number of male clerks in company E is 220.

What is the ratio of male managers in company C to male clerks in company B?

AOption (a)
10:29
BOption (b)
5:14
COption (c)
1:2
DOption (d)
10:27
EOption (e)
5:16

View answer & explanation

Correct answer

10:29

Why this answer is correct

General Solution:

Known totals: A = 800, B = 1200, C = 1000, E = 900 ⇒ sum = 3,900 ⇒ D total = 5,400 − 3,900 = 1,500.

Use ratios to get Managers (M) and Clerks (Ck):

A (1:3): Managers = 800 × 1/4 = 200; Clerks = 600

B (1:5): Managers = 1200 × 1/6 = 200; Clerks = 1000

C: Managers given = 300; Clerks = 700

D (1:2): Managers = 1500 × 1/3 = 500; Clerks = 1000

E (2:7): Managers = 900 × 2/9 = 200; Clerks = 700

Use given male totals / female totals:

Company A: Total male = 480 ⇒ male managers = 200 − 80 = 120; male clerks = 480 − 120 = 360; female clerks = 600 − 360 = 240; female total = 320.

Company B: Female total = 540 ⇒ male total = 1200 − 540 = 660. Male managers = 200 − 120 = 80; male clerks = 660 − 80 = 580; female clerks = 1000 − 580 = 420.

Company C: Total male = 500 ⇒ male managers = 300 − 100 = 200; male clerks = 500 − 200 = 300; female clerks = 700 − 300 = 400.

Company D: Total male = 1050 ⇒ male managers = 500 − 150 = 350; male clerks = 1050 − 350 = 700; female clerks = 1000 − 700 = 300; female total = 450.

Company E: Total male = 360 (given), male clerks = 220 (given) ⇒ male managers = 360 − 220 = 140; female managers = 200 − 140 = 60; female clerks = 700 − 220 = 480; female total = 540.

Calculation:

Ratio of male managers in C to male clerks in B:

Male managers (C) = 200.

Male clerks (B) = 580.

Ratio = 200 : 580 = 10 : 29.

Hence, the correct answer is 10 : 29.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 345

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Arjun borrowed Rs. 20,000 from Bank A and Rs. 10,000 from Bank B, both for a period of two years. Bank A was supposed to charge 10% p.a. simple interest, and Bank B was supposed to charge 20% p.a. interest compounded annually. By mistake, Arjun swapped the interest terms. He repaid the loan from Bank A (Rs. 20,000) at 20% p.a. compound interest and the loan from Bank B (Rs. 10,000) at 10% p.a. simple interest. How much more/less amount did Bank A and Bank B receive, respectively, due to this mistake?

AOption (a)
Rs. 4,800 more and Rs. 2,400 less
BOption (b)
Rs. 4,800 more and Rs. 2,000 less
COption (c)
Rs. 4,000 more and Rs. 2,400 less
DOption (d)
Rs. 4,400 more and Rs. 2,200 less
EOption (e)
Rs. 4,800 less and Rs. 2,400 more

View answer & explanation

Correct answer

Rs. 4,800 more and Rs. 2,400 less

Why this answer is correct

Shortcut Trick

Bank A: Interest changed from 10% SI to 20% CI for 2 years on ₹20,000.

Initial Interest = 10% × 2 = 20%; Final Interest = 20 + 20 + (20×20)/100 = 44%.

Difference for A = (44% − 20%) of ₹20,000 = 24% of ₹20,000 = ₹4,800 more.

Bank B: Interest changed from 20% CI to 10% SI for 2 years on ₹10,000.

Initial Interest = 20 + 20 + (20×20)/100 = 44%; Final Interest = 10% × 2 = 20%.

Difference for B = (20% − 44%) of ₹10,000 = −24% of ₹10,000 = ₹2,400 less.

∴ The correct answer is Rs. 4,800 more and Rs. 2,400 less.

Alternate Method

Bank A (Principal = ₹20,000):

⇒ Intended Interest (SI) = (20,000 × 10 × 2) ÷ 100 = ₹4,000

⇒ Actual Interest (CI) = 20,000 × [(1 + 20/100)² − 1] = 20,000 × [1.44 − 1] = ₹8,800

⇒ Difference for Bank A = 8,800 − 4,000 = ₹4,800 more

Bank B (Principal = ₹10,000):

⇒ Intended Interest (CI) = 10,000 × [(1 + 20/100)² − 1] = 10,000 × [1.44 − 1] = ₹4,400

⇒ Actual Interest (SI) = (10,000 × 10 × 2) ÷ 100 = ₹2,000

⇒ Difference for Bank B = 2,000 − 4,400 = ₹2,400 less

∴ The correct answer is Rs. 4,800 more and Rs. 2,400 less.

Additional Information

Simple Interest (SI) Formula

SI = (P × R × T) ÷ 100, where P is Principal, R is Rate per annum, and T is Time in years.

Compound Interest (CI) Formula

CI = P × [(1 + R/100)ⁿ − 1], where n is the number of compounding periods.

Effective Rate for 2 Years CI

Effective Rate = R + R + (R×R)/100. For 20% p.a., it is 20 + 20 + 4 = 44%.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 346

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

P and Q started a business with initial investments of Rs. 5,000 and Rs. 8,000, respectively. After n months, P added Rs. 1,000 to his investment and Q withdrew Rs. 2,000 from his investment. At the same time, R entered the business investing Rs. 10,000. If the total profit earned at the end of the year (12 months) is Rs. 70,000 and the profit share of Q is Rs. 28,000, then find the profit share of R.

AOption (a)
Rs. 18,000
BOption (b)
Rs. 20,000
COption (c)
Rs. 22,000
DOption (d)
Rs. 24,000
EOption (e)
Rs. 16,000

View answer & explanation

Correct answer

Rs. 20,000

Why this answer is correct

Shortcut Trick

Ratio of Profit Share = Ratio of Investment × Time.

Total profit = Rs. 70,000. Q share = Rs. 28,000 ⇒ Q share = 2/5 of total profit.

Q investment: (8000 × n) + (6000 × (12 − n)) = 72000 + 2000n.

Total effective investment = (P) 60000 + 1000n + (Q) 72000 + 2000n + (R) 10000(12 − n).

Equating Q share to 2/5 total investment gives n = 4.

R share ratio = 10000 × (12 − 4) = 80000. Total effective investment units = 200000. R share = (80/200) × 70000 = Rs. 20,000.

∴ The correct answer is Rs. 20,000.

Alternate Method

Given: Initial P = Rs. 5,000, Q = Rs. 8,000. After n months: P = Rs. 6,000, Q = Rs. 6,000, R = Rs. 10,000. Total time = 12 months.
Formulas: Profit Share = (Investment₁ × Time₁) + (Investment₂ × Time₂).

⇒ Investment of P = 5000n + 6000(12 − n) = 72000 − 1000n
⇒ Investment of Q = 8000n + 6000(12 − n) = 72000 + 2000n
⇒ Investment of R = 10000(12 − n) = 120000 − 10000n
⇒ Total Investment = (72000 − 1000n) + (72000 + 2000n) + (120000 − 10000n) = 264000 − 9000n
⇒ Q share: (72000 + 2000n) / (264000 − 9000n) = 28000 / 70000 = 2/5
⇒ 5(72 + 2n) = 2(264 − 9n) ⇒ 360 + 10n = 528 − 18n ⇒ 28n = 168 ⇒ n = 6
⇒ R investment = 120000 − 10000(6) = 60000. Total investment = 264000 − 9000(6) = 210000.
⇒ R profit = (60000 / 210000) × 70000 = Rs. 20,000.

∴ The correct answer is Rs. 20,000.

Additional Information

Partnership Investment Rule

When multiple partners invest for different time periods, the profit is divided based on the product of Capital × Duration.

Variable Investment

If a partner changes their capital mid-way, effective capital = (C₁ × T₁) + (C₂ × T₂).

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 347

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

What approximate value will come in place of the question mark (?) in the following question?

(62.5% of 5259.89 – 49.99% of 939.89) × 6.06 = (?)²

AOption (a)
130
BOption (b)
129
COption (c)
131
DOption (d)
132
EOption (e)
133

View answer & explanation

Correct answer

130

Why this answer is correct

Calculation:

(62.5% of 5259.89 – 49.99% of 939.89) × 6.06 = (?)²

( 3287.5 - 470 ) × 6 = (?)²

(?)²= 2817.5 × 6 = 16905

? = 130

The approximate value that comes in the place of the (?) is 130.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 348

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

What approximate value will come in place of the question mark (?) in the following question?

21.67 × ? + 44.144 = 125.75% of 480.03 + 56.09 × 8.99

AOption (a)
48
BOption (b)
46
COption (c)
47
DOption (d)
49
EOption (e)
50

View answer & explanation

Correct answer

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Calculation:

21.67 × ? + 44.144 = 125.75% of 480.03 + 56.09 × 8.99

21.67 × ? + 44.144 = 603.637725 + 504.2491

21.67 × ? + 44.144 = 604 + 504 = 1108

21.67 × ? = 1108 - 44.144

? = 1064 / 22 = 48.36

? = 48

The approximate value that comes in place of (?) is 48.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 349

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

What approximate value should come in the place of question mark (?) in the following question?

1617.001 + 617.345 + 61.700 + 6.0117 + 0.6117 + 6.00117 = ?

AOption (a)
2300
BOption (b)
2309
COption (c)
2325
DOption (d)
2330
EOption (e)
2381

View answer & explanation

Correct answer

2309

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

1617.001 + 617.345 + 61.700 + 6.0117 + 0.6117 + 6.00117 = ?

⇒ 1617 + 617 + 62 + 6 + 0.5 + 6 = ?

⇒ ? ≈ 2309

Hence, 2309 will come in the place of (?).

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 350

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

What approximate value should come in the place of question mark (?) in the following question?

(6.77)2 + 17.86 × 24.38 – 463.75 ÷ 28.88 + 32.99 = ?

AOption (a)
488
BOption (b)
498
COption (c)
510
DOption (d)
456
EOption (e)
467

View answer & explanation

Correct answer

498

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

(6.77)2 + 17.86 × 24.38 – 463.75 ÷ 28.88 + 32.99 = ?

⇒ (7)2 + 18 × 24 – 464 ÷ 29 + 33 = ?

⇒ 49 + 432 – 16 + 33 = ?

⇒ 498 = ?

Hence, 498 will come in the place of (?).

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 351

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

What approximate value will come in place of the question mark (?) in the following question?

25.992² + 39.102² = 8.99²+ 26.99²+ 10.99² +?²

AOption (a)
36
BOption (b)
34
COption (c)
33
DOption (d)
32
EOption (e)
35

View answer & explanation

Correct answer

Why this answer is correct

Calculation:

25.992² + 39.102² = 8.99²+ 26.99²+ 10.99² +?²

676 + 1521 = 81 + 729 + 121 + ?²

2197 = 931 + ?²

?²= 1266

? = 35.5 = 36

The approximate value that comes in the place of (?) is 36.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 352

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Compound interest received on ₹ ‘x’ after 2 years at R% rate of interest compounded annually, is ₹ 1700 more than that received on ₹ (x – 4000) after 1 year at R% rate of interest compounded half-yearly. If the compound interest received on ₹ (x – 2000) at 20% rate after 2 years is ₹ 4400, then find the value of R?

AOption (a)
8%
BOption (b)
12%
COption (c)
10%
DOption (d)
5%
EOption (e)
15%

View answer & explanation

Correct answer

10%

Why this answer is correct

Shortcut Trick

From the second condition, CI on (x − 2000) at 20% for 2 years is ₹4400. Using net percentage 20 + 20 + (20×20)/100 = 44%.

⇒ 44% of (x − 2000) = 4400 → (x − 2000) = 10000 → x = 12000.

First case: Principal = 12000, Time = 2 yrs. Second case: Principal = 8000, Time = 1 yr (2 half-years), Rate = R/2.

By testing options: if R = 10%, CI₁ = 12000 × 21% = 2520; CI₂ = 8000 × 10.25% = 820. Difference = 2520 − 820 = 1700. Condition satisfied.

∴ The correct answer is 10%.

Alternate Method

Given: CI on (x − 2000) for 2 years at 20% = ₹4400.

Formula: CI = P[(1 + R/100)ⁿ − 1]

⇒ 4400 = (x − 2000) × [(1 + 20/100)² − 1]

⇒ 4400 = (x − 2000) × [1.44 − 1] ⇒ 4400 = (x − 2000) × 0.44

⇒ (x − 2000) = 10000 ⇒ x = ₹12000

Now, according to the first condition:

⇒ CI₁ (on 12000, 2 yrs, R%) − CI₂ (on 8000, 1 yr, R% half-yearly) = 1700

⇒ 12000 × [(1 + R/100)² − 1] − 8000 × [(1 + R/200)² − 1] = 1700

⇒ Put R = 10: 12000 × 0.21 − 8000 × [(1.05)² − 1] = 2520 − 8000 × 0.1025

⇒ 2520 − 820 = 1700. Hence, R = 10%.

∴ The correct answer is 10%.

Additional Information

Effective Interest Rate

For a rate R% compounded annually for 2 years, the effective CI rate is R + R + (R×R)/100.

Half-Yearly Compounding

When interest is compounded half-yearly, the rate is halved (R/2) and the number of periods is doubled (2n).

CI vs SI Difference

Difference for 2 years: D = P(R/100)². This is the interest earned on the first year's interest.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 353

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

A can contains 80 litres of pure milk. A milkman takes out 'N' litres of milk and replaces it with the same quantity of water. He repeats this process two more times. After the third operation, the can contains 33.75 litres of milk. Find the value of 'N'.

AOption (a)
10
BOption (b)
15
COption (c)
20
DOption (d)
25
EOption (e)
30

View answer & explanation

Correct answer

Why this answer is correct

Shortcut Trick

Final Quantity = Initial Quantity × (1 − N/Total)ⁿ

33.75 = 80 × (1 − N/80)³

33.75/80 = (1 − N/80)³ ⇒ 3375/8000 = (1 − N/80)³ ⇒ 27/64 = (1 − N/80)³

Taking cube root: 3/4 = 1 − N/80 ⇒ N/80 = 1/4 ⇒ N = 20 litres.

∴ The correct answer is 20 litres.

Alternate Method

Given:

Initial Quantity (Q) = 80 litres

Final Quantity (q) = 33.75 litres

Number of operations (n) = 3

Formula Used:

q = Q × (1 − N/Q)ⁿ

Calculations:

⇒ 33.75 = 80 × (1 − N/80)³

⇒ 33.75 / 80 = (1 − N/80)³

⇒ 3375 / 8000 = (1 − N/80)³

⇒ (15 / 20)³ = (1 − N/80)³

⇒ 3 / 4 = 1 − N/80

⇒ N / 80 = 1 − 3/4

⇒ N / 80 = 1/4

⇒ N = 80 / 4 = 20 litres

∴ The correct answer is 20 litres.

Additional Information

Successive Replacement Formula

For a solution where x units are replaced n times from total volume V: Remaining Original = V × (1 − x/V)ⁿ.

Ratio Method

The ratio of final milk to total volume after n operations is (Final Milk / Total Volume) = (Remaining Factor)ⁿ.

Mixture Alligation

Replacement problems are a specific case of alligation where one component being added is 0% of the original substance.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 354

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

Five companies, A, B, C, D, and E manufacture three types of toys: Earthen, Wooden, and Metallic.

The bar graph given below shows the sum of the number of Earthen and Wooden toys (E + W) and the sum of the number of Earthen and Metallic toys (E + M) manufactured by each of the five companies.

The table below shows the total number of toys (Earthen + Wooden + Metallic) manufactured by each company.

Company	Total Toys (E + W + M)
A	300
B	450
C	500
D	400
E	500

The manufacturing cost of an Earthen toy is ₹20, a Wooden toy is ₹50, and a Metallic toy is ₹80. If Company B sells 70% of its Earthen toys and 80% of its Metallic toys, what is the total revenue generated from these two types of toys?

AOption (a)
₹14,900
BOption (b)
₹15,200
COption (c)
₹16,300
DOption (d)
₹13,800
EOption (e)
₹14,500

View answer & explanation

Correct answer

₹14,900

Why this answer is correct

General Solution:

Given:

Company	E + W	E + M	Total (E + W + M)
A	200	220	300
B	250	350	450
C	350	350	500
D	220	280	400
E	400	280	500

Formula: E = (E+W) + (E+M) − Total ; W = (E+W) − E ; M = (E+M) − E

Company A: E = 200 + 220 − 300 = 120; W = 200 − 120 = 80; M = 220 − 120 = 100

Company B: E = 250 + 350 − 450 = 150; W = 250 − 150 = 100; M = 350 − 150 = 200

Company C: E = 350 + 350 − 500 = 200; W = 350 − 200 = 150; M = 350 − 200 = 150

Company D: E = 220 + 280 − 400 = 100; W = 220 − 100 = 120; M = 280 − 100 = 180

Company E: E = 400 + 280 − 500 = 180; W = 400 − 180 = 220; M = 280 − 180 = 100

Calculations:

Company B: E = 150, M = 200

Sold E = 0.70 × 150 = 105 pieces @ ₹20 each ⇒ revenue = 105 × 20 = ₹2,100

Sold M = 0.80 × 200 = 160 pieces @ ₹80 each ⇒ revenue = 160 × 80 = ₹12,800

Total revenue = 2,100 + 12,800 = ₹14,900

Hence, the correct answer is ₹14,900

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 355

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

Five companies, A, B, C, D, and E manufacture three types of toys: Earthen, Wooden, and Metallic.

The bar graph given below shows the sum of the number of Earthen and Wooden toys (E + W) and the sum of the number of Earthen and Metallic toys (E + M) manufactured by each of the five companies.

The table below shows the total number of toys (Earthen + Wooden + Metallic) manufactured by each company.

Company	Total Toys (E + W + M)
A	300
B	450
C	500
D	400
E	500

Company F manufactures 25% more Earthen toys than Company E. The number of Wooden toys manufactured by Company F is equal to the average number of Wooden toys manufactured by companies A and D. If the total number of toys manufactured by Company F is 500, what is the number of Metallic toys manufactured by Company F?

AOption (a)
125
BOption (b)
250
COption (c)
175
DOption (d)
100
EOption (e)
225

View answer & explanation

Correct answer

175

Why this answer is correct

General Solution:

Given:

Company	E + W	E + M	Total (E + W + M)
A	200	220	300
B	250	350	450
C	350	350	500
D	220	280	400
E	400	280	500

Formula: E = (E+W) + (E+M) − Total ; W = (E+W) − E ; M = (E+M) − E

Company A: E = 200 + 220 − 300 = 120; W = 200 − 120 = 80; M = 220 − 120 = 100

Company B: E = 250 + 350 − 450 = 150; W = 250 − 150 = 100; M = 350 − 150 = 200

Company C: E = 350 + 350 − 500 = 200; W = 350 − 200 = 150; M = 350 − 200 = 150

Company D: E = 220 + 280 − 400 = 100; W = 220 − 100 = 120; M = 280 − 100 = 180

Company E: E = 400 + 280 − 500 = 180; W = 400 − 180 = 220; M = 280 − 180 = 100

Calculations:

Company E: EE = 180. Company F makes 25% more Earthen ⇒ EF = 180 × 1.25 = 225

WF = average of WA and WD = (80 + 120) / 2 = 100

Total F = 500 ⇒ MF = 500 − 225 − 100 = 175

Hence, the correct answer is 175.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 356

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

Five companies, A, B, C, D, and E manufacture three types of toys: Earthen, Wooden, and Metallic.

The bar graph given below shows the sum of the number of Earthen and Wooden toys (E + W) and the sum of the number of Earthen and Metallic toys (E + M) manufactured by each of the five companies.

The table below shows the total number of toys (Earthen + Wooden + Metallic) manufactured by each company.

Company	Total Toys (E + W + M)
A	300
B	450
C	500
D	400
E	500

Find the difference between the average number of Wooden toys manufactured by companies A, C, and E, and the average number of Metallic toys manufactured by companies B and D.

AOption (a)
40
BOption (b)
60
COption (c)
30
DOption (d)
45
EOption (e)
55

View answer & explanation

Correct answer

Why this answer is correct

General Solution:

Given:

Company	E + W	E + M	Total (E + W + M)
A	200	220	300
B	250	350	450
C	350	350	500
D	220	280	400
E	400	280	500

Formula: E = (E+W) + (E+M) − Total ; W = (E+W) − E ; M = (E+M) − E

Company A: E = 200 + 220 − 300 = 120; W = 200 − 120 = 80; M = 220 − 120 = 100

Company B: E = 250 + 350 − 450 = 150; W = 250 − 150 = 100; M = 350 − 150 = 200

Company C: E = 350 + 350 − 500 = 200; W = 350 − 200 = 150; M = 350 − 200 = 150

Company D: E = 220 + 280 − 400 = 100; W = 220 − 100 = 120; M = 280 − 100 = 180

Company E: E = 400 + 280 − 500 = 180; W = 400 − 180 = 220; M = 280 − 180 = 100

Calculations:

Average Wooden (A,C,E) = (80 + 150 + 220) / 3 = 450 / 3 = 150

Average Metallic (B,D) = (200 + 180) / 2 = 380 / 2 = 190

Difference = 150 − 190 = −40 ⇒ absolute difference = 40

Hence, the correct answer is 40.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 357

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

Five companies, A, B, C, D, and E manufacture three types of toys: Earthen, Wooden, and Metallic.

The bar graph given below shows the sum of the number of Earthen and Wooden toys (E + W) and the sum of the number of Earthen and Metallic toys (E + M) manufactured by each of the five companies.

The table below shows the total number of toys (Earthen + Wooden + Metallic) manufactured by each company.

Company	Total Toys (E + W + M)
A	300
B	450
C	500
D	400
E	500

The total number of Earthen toys manufactured by Companies B and D together is what percentage more than the total number of Metallic toys manufactured by Company A?

AOption (a)
120%
BOption (b)
250%
COption (c)
100%
DOption (d)
150%
EOption (e)
175%

View answer & explanation

Correct answer

150%

Why this answer is correct

General Solution:

Given:

Company	E + W	E + M	Total (E + W + M)
A	200	220	300
B	250	350	450
C	350	350	500
D	220	280	400
E	400	280	500

Formula: E = (E+W) + (E+M) − Total ; W = (E+W) − E ; M = (E+M) − E

Company A: E = 200 + 220 − 300 = 120; W = 200 − 120 = 80; M = 220 − 120 = 100

Company B: E = 250 + 350 − 450 = 150; W = 250 − 150 = 100; M = 350 − 150 = 200

Company C: E = 350 + 350 − 500 = 200; W = 350 − 200 = 150; M = 350 − 200 = 150

Company D: E = 220 + 280 − 400 = 100; W = 220 − 100 = 120; M = 280 − 100 = 180

Company E: E = 400 + 280 − 500 = 180; W = 400 − 180 = 220; M = 280 − 180 = 100

Calculations:

Earthen B + D = 150 + 100 = 250

Metallic A = 100

Percentage more = ((250 − 100) / 100) × 100 = 150%

Hence, the correct answer is 150%.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 358

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions: Study the following information carefully and answer the questions that follow.

Five companies, A, B, C, D, and E manufacture three types of toys: Earthen, Wooden, and Metallic.

The bar graph given below shows the sum of the number of Earthen and Wooden toys (E + W) and the sum of the number of Earthen and Metallic toys (E + M) manufactured by each of the five companies.

The table below shows the total number of toys (Earthen + Wooden + Metallic) manufactured by each company.

Company	Total Toys (E + W + M)
A	300
B	450
C	500
D	400
E	500

Find the ratio of the number of Wooden toys manufactured by Company A to the number of Metallic toys manufactured by Company C.

AOption (a)
8:15
BOption (b)
5:9
COption (c)
4:7
DOption (d)
7:15
EOption (e)
6:7

View answer & explanation

Correct answer

8:15

Why this answer is correct

General Solution:

Given:

Company	E + W	E + M	Total (E + W + M)
A	200	220	300
B	250	350	450
C	350	350	500
D	220	280	400
E	400	280	500

Formula: E = (E+W) + (E+M) − Total ; W = (E+W) − E ; M = (E+M) − E

Company A: E = 200 + 220 − 300 = 120; W = 200 − 120 = 80; M = 220 − 120 = 100

Company B: E = 250 + 350 − 450 = 150; W = 250 − 150 = 100; M = 350 − 150 = 200

Company C: E = 350 + 350 − 500 = 200; W = 350 − 200 = 150; M = 350 − 200 = 150

Company D: E = 220 + 280 − 400 = 100; W = 220 − 100 = 120; M = 280 − 100 = 180

Company E: E = 400 + 280 − 500 = 180; W = 400 − 180 = 220; M = 280 − 180 = 100

Calculations:

Ratio of Wooden (A) to Metallic (C)

W_A : M_C = 80 : 150 = 8 : 15

Hence, the correct answer is 8 : 15.

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 359

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions

Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.

Quantity A - Probability of getting a heart card (excluding face cards) in first and face card in the second pick from a deck (card once drawn is not replaced)

Quantity B - Fraction. When 3 is added to both numerator and denominator, the fraction becomes 1 / 5 and when 3 is added to the numerator and 1 is subtracted from denominator, the fraction becomes 1 / 4.

AOption (a)
Quantity A ≥ Quantity B
BOption (b)
Quantity A ≤ Quantity B
COption (c)
Quantity A = Quantity B or no relationship can be established
DOption (d)
Quantity A > Quantity B
EOption (e)
Quantity A < Quantity B

View answer & explanation

Correct answer

Quantity A < Quantity B

Why this answer is correct

Quantity A -

Card of heart other than King, Queen, and Jack is picked in first try and face card in second.

Probability = (10 / 52) × (12 / 51) [there are 12 face cards and 10 heart cards other than face cards of heart]

Quantity A: 40/ (52 × 17) = 10/221

Quantity B -

Let fraction be x / y

According to conditions,

(x + 3) / (y + 3) = 1 / 5

5x + 15 = y + 3 ----(i)

(x + 3) / (y - 1) = 1 / 4

4x + 12 = y – 1 ----(ii)

Solving both, x = 1 and y = 17

So, Quantity B = 1/17

Hence, Quantity A < Quantity B

SBI Clerk Mains Memory Based Paper (Held On: 12 April 2025) (Previous Year Paper)·Quantitative Aptitude

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Question 360

SBI Clerk 2025• Quantitative Aptitude• Quantitative Aptitude

Directions

Given question contains two statements numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

Quantity I: When a boat travels upstream then its speed becomes 75% of the speed of the boat in still water. The speed of the stream is how much percentage of the speed of the boat in still water?

Quantity II: When a sum of money was invested at a simple interest then at the end of 8 years the amount becomes 300% of the sum of money. Find the rate of interest?

AOption (a)
Quantity II ≤ Quantity I
BOption (b)
Quantity I > Quantity II
COption (c)
Quantity II ≥ Quantity I
DOption (d)
Quantity I = Quantity II or No Relation
EOption (e)
Quantity II > Quantity I

View answer & explanation

Correct answer

Quantity I = Quantity II or No Relation

Why this answer is correct

Calculation:

Quantity I:

Let the speed of the boat in still water = x km per hour

The speed of the stream = y km per hour

According to the question,

⇒ x – y = 75% of x

⇒ 25x = 100y

⇒ x/y = 4 : 1

∴ Required Percentage = 1 × 100/4

⇒ 25%

Quantity II:

Let the sum of money = x

⇒ x + x × 8 × r/100 = 3x

⇒ x × 8 × r/100 = 2x

∴ r = 200/8

⇒ 25%

Quantity I = Quantity II

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How should I prepare for Quantitative Aptitude in SBI Clerk?

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.

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