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Question 331

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The table below provides data on the number of two types of shoes, Leather) and Non-leather, sold by different retailers.

RetailerLeatherNon-leather
A450320
B510480
C480500
D550450
E620580

The total number of shoes sold by retailer E is what percentage of the total number of shoes sold by A?

  1. AOption (a)

    152.28%

  2. BOption (b)

    150.09%

  3. COption (c)

    156.12%

  4. DOption (d)

    155.84%

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

155.84%

Why this answer is correct

Total shoes sold by Retailer E = 620 + 580 = 1200

Total shoes sold by Retailer A = 450 + 320 = 770

Percentage = (Total E ÷ Total A) × 100 = (1200 ÷ 770) × 100 ≈ 155.84%

Hence, the correct answer is 155.84%.

Question 332

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The table below provides data on the number of two types of shoes, Leather) and Non-leather, sold by different retailers.

RetailerLeatherNon-leather
A450320
B510480
C480500
D550450
E620580

What is the average number of Non-leather shoes sold per retailer?

  1. AOption (a)

    472

  2. BOption (b)

    484

  3. COption (c)

    466

  4. DOption (d)

    458

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

466

Why this answer is correct

Total Non-leather shoes sold by all retailers:

320 + 480 + 500 + 450 + 580 = 2330

Number of retailers = 5

Average = Total ÷ Number of retailers = 2330 ÷ 5 = 466

Hence, the correct answer is 466.

Question 333

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The table below provides data on the number of two types of shoes, Leather) and Non-leather, sold by different retailers.

RetailerLeatherNon-leather
A450320
B510480
C480500
D550450
E620580

What is the ratio of the total number of Leather shoes sold by A and B to the total number of Non-leather shoes sold by B and C?

  1. AOption (a)

    48:49

  2. BOption (b)

    80:99

  3. COption (c)

    66:67

  4. DOption (d)

    54:59

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

48:49

Why this answer is correct

Total Leather shoes sold by A and B:

Leather (A + B) = 450 + 510 = 960

Total Non-leather shoes sold by B and C:

Non-leather (B + C) = 480 + 500 = 980

Leather (A + B) : Non-leather (B + C) = 960 : 980 = 48 : 49

Hence, the correct answer is 48 : 49.

Question 334

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The table below provides data on the number of two types of shoes, Leather) and Non-leather, sold by different retailers.

RetailerLeatherNon-leather
A450320
B510480
C480500
D550450
E620580

By what percentage are the sales of Leather shoes less in B as compared to D? 

  1. AOption (a)

    4.69%

  2. BOption (b)

    10.23%

  3. COption (c)

    7.27%

  4. DOption (d)

    2.51%

  5. EOption (e)

    5.48%

View answer & explanation

Correct answer

Answer: (c)C.

7.27%

Why this answer is correct

Leather shoes sold:

Retailer B = 510

Retailer D = 550

Difference = 550 − 510 = 40

Percentage less = (Difference ÷ D) × 100 = (40 ÷ 550) × 100 ≈ 7.27%

Hence, the correct answer is ≈ 7.27%.

Question 335

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The table below provides data on the number of two types of shoes, Leather) and Non-leather, sold by different retailers.

RetailerLeatherNon-leather
A450320
B510480
C480500
D550450
E620580

What is the total number of shoes (Leather + Non-leather) sold by Retailer C & E?

  1. AOption (a)

    2150

  2. BOption (b)

    2180

  3. COption (c)

    2260

  4. DOption (d)

    2250

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

2180

Why this answer is correct

Retailer C → Leather = 480, Non-leather = 500 → Total = 480 + 500 = 980  

Retailer E → Leather = 620, Non-leather = 580 → Total = 620 + 580 = 1200  

Combined total = 980 + 1200 = 2180

Hence, the correct answer is 2180.

Question 336

SBI Clerk 2025• Numerical Ability

A boat covers the distance of 11 km in 2 hours along the stream and the same distance in 4 hours against the stream. Find the speed of the boat in still water and current respectively.

  1. AOption (a)

    4.152 km/h and 1.375 km/h

  2. BOption (b)

    4.5 km/h and 1.5 km/h

  3. COption (c)

    4.125 km/h and 1.375 km/h 

  4. DOption (d)

    4.125 km/h and 1.357 km/h

  5. EOption (e)

    4.215 km/h and 1.735 km/h

View answer & explanation

Correct answer

Answer: (c)C.

4.125 km/h and 1.375 km/h 

Why this answer is correct

Shortcut Trick

Downstream Speed (u) = 11 ÷ 2 = 5.5 km/h

Upstream Speed (v) = 11 ÷ 4 = 2.75 km/h

Boat Speed = (u + v) ÷ 2 = (5.5 + 2.75) ÷ 2 = 8.25 ÷ 2 = 4.125 km/h

Current Speed = (u − v) ÷ 2 = (5.5 − 2.75) ÷ 2 = 2.75 ÷ 2 = 1.375 km/h

∴ The correct answer is 4.125 km/h and 1.375 km/h.

Alternate Method

Given:

Distance (D) = 11 km

Time taken along the stream (t1) = 2 hours

Time taken against the stream (t2) = 4 hours

Formula Used:

Speed = Distance ÷ Time

Downstream Speed (u) = x + y | Upstream Speed (v) = x − y

Speed of boat in still water (x) = (u + v) ÷ 2

Speed of current (y) = (u − v) ÷ 2

Calculations:

⇒ Downstream Speed (u) = 11 ÷ 2 = 5.5 km/h

⇒ Upstream Speed (v) = 11 ÷ 4 = 2.75 km/h

⇒ Speed of boat (x) = (5.5 + 2.75) ÷ 2

⇒ x = 8.25 ÷ 2 = 4.125 km/h

⇒ Speed of current (y) = (5.5 − 2.75) ÷ 2

⇒ y = 2.75 ÷ 2 = 1.375 km/h

∴ The correct answer is 4.125 km/h and 1.375 km/h.

Additional Information

Relative Speed in Water

When moving with the flow, the speeds add up (x + y). When moving against the flow, the stream speed is subtracted from the boat speed (x − y).

Average Speed of Boat

If the boat covers equal distance upstream and downstream, Average Speed = (u × v) / x = (x2 − y2) / x km/h.

Time Ratio Property

The ratio of Speed of Boat to Speed of Current is given by (tup + tdown) : (tup − tdown).

Question 337

SBI Clerk 2025• Numerical Ability

A merchant sells 980 kg of fruits in two parts. One at 11% profit and other at 18% profit. He gains 14% on overall selling. Find how much quantity he sold at 18% profit?

  1. AOption (a)

    490 kg

  2. BOption (b)

    430 kg

  3. COption (c)

    410 kg

  4. DOption (d)

    420 kg

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

420 kg

Why this answer is correct

Shortcut Trick

Use the Alligation Method to find the ratio of quantities.

Profit 1: 11%, Profit 2: 18%, Mean Profit: 14%.

Ratio = (18 − 14) : (14 − 11) = 4 : 3.

Total units = 4 + 3 = 7 units.

7 units = 980 kg ⇒ 1 unit = 140 kg.

Quantity at 18% profit = 3 × 140 = 420 kg.

∴ The correct answer is 420 kg.

Alternate Method

Given: Total quantity = 980 kg, Part 1 profit = 11%, Part 2 profit = 18%, Overall profit = 14%.

Formulas: Profit = SP − CP | Weighted Average = (n1x1 + n2x2) ÷ (n1 + n2)

⇒ Let quantity at 18% be x kg, then quantity at 11% is (980 − x) kg.

⇒ 11(980 − x) + 18x = 14 × 980

⇒ 10780 − 11x + 18x = 13720

⇒ 7x = 13720 − 10780

⇒ 7x = 2940

⇒ x = 420 kg.

∴ The correct answer is 420 kg.

Additional Information

Alligation Rule

It is used to find the ratio in which two ingredients at given prices/profits are mixed to produce a mixture of a mean price/profit.

Profit and Loss on Quantities

When overall profit % is given for two parts of a total quantity, the ratio of quantities is inversely proportional to the deviation of their profit % from the mean profit %.

Question 338

SBI Clerk 2025• Numerical Ability

What should come in place of question mark ‘?’ in the following number series?

5, 12, 17, 29, 46, 75, 121, ?

  1. AOption (a)

    196

  2. BOption (b)

    192

  3. COption (c)

    185

  4. DOption (d)

    188

  5. EOption (e)

    216

View answer & explanation

Correct answer

Answer: (a)A.

196

Why this answer is correct

The pattern of the given series is a Fibonacci series. Every number from third number is a sum of the previous two numbers.

⇒ 17 = 5 + 12

⇒ 29 = 17 + 12

⇒ 46 = 29 + 17

⇒ 75 = 46 + 29

⇒ 121 = 75 + 46

⇒ 196 = 121 + 75

Question 339

SBI Clerk 2025• Numerical Ability

What should come in place of question mark ‘?’ in the following series?

3, 4, 13, ?, 87, 168

  1. AOption (a)

    13

  2. BOption (b)

    87

  3. COption (c)

    38

  4. DOption (d)

    168

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

38

Why this answer is correct

The series is formed by the following logic

⇒ 3 + 12 = 4

⇒ 4 + 32 = 13

⇒ 13 + 52 = 38

⇒ 38 + 72 = 87

⇒ 87 + 92 = 168

∴ the answer is 38

Question 340

SBI Clerk 2025• Numerical Ability

What will come in place of the question mark (?) in the following number series?

17, 38, 80, 164, 332, 668, ?

  1. AOption (a)

    1380

  2. BOption (b)

    1320

  3. COption (c)

    1360

  4. DOption (d)

    1340

  5. EOption (e)

    1260

View answer & explanation

Correct answer

Answer: (d)D.

1340

Why this answer is correct

The pattern of the number series is as follows:

17 × 2 + 4 = 38

38 × 2 + 4 = 80

80 × 2 + 4 = 164

164 × 2 + 4 = 332

332 × 2 + 4 = 668

668 × 2 + 4 = 1340

∴ The required next number is 1340.

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