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Question 31

RBI Assistant 2023• Numerical Ability

Direction: Read the following comprehension and answer accordingly

There are three watch-selling companies, A, B, and C. Each of these companies sells both analog and digital watches. Company C sold 192 digital watches. Analog watches make up 60% of its total watch sales of Company C. The total sales of A, B, and C is in the ratio 7 : 9 : 6. Company A sells digital and analog watches in a ratio of 5:3. The sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B.

Find out the exact number of analog watches sold by Company B?

  1. AOption (a)

    500

  2. BOption (b)

    560

  3. COption (c)

    360

  4. DOption (d)

    480

  5. EOption (e)

    400

View answer & explanation

Correct answer

Answer: (d)D.

480

Why this answer is correct

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 = 480

Total sales of A = 480/6 × 7 = 560

Total sales of B = 480/6 × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

5x = 350

3x = 210

Sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B

Analog watch sells in company B = 192 + 288 = 480

Hence, option(4) is correct.

Question 32

RBI Assistant 2023• Numerical Ability

Direction: Read the following comprehension and answer accordingly

There are three watch-selling companies, A, B, and C. Each of these companies sells both analog and digital watches. Company C sold 192 digital watches. Analog watches make up 60% of its total watch sales of Company C. The total sales of A, B, and C is in the ratio 7 : 9 : 6. Company A sells digital and analog watches in a ratio of 5:3. The sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B.

What percentage of Company A's total watch sales were analog watches?

  1. AOption (a)

    55.2%

  2. BOption (b)

    37.5%

  3. COption (c)

    62.5%

  4. DOption (d)

    45.8%

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

37.5%

Why this answer is correct

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 unit = 480

Total sales of A = (480/6) × 7 = 560

Total sales of B = (480/6) × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

Digital watch sold by company A = 350

Analog watch sold by company A = 210

Percentage of Company A's total watch sales were analog watches = (210/560) × 100 = 37.5%

Hence, option (2) is correct.

Question 33

RBI Assistant 2023• Numerical Ability

Direction: Read the following comprehension and answer accordingly

There are three watch-selling companies, A, B, and C. Each of these companies sells both analog and digital watches. Company C sold 192 digital watches. Analog watches make up 60% of its total watch sales of Company C. The total sales of A, B, and C is in the ratio 7 : 9 : 6. Company A sells digital and analog watches in a ratio of 5:3. The sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B.

Calculate the total number of analog watches sold across all three companies?

  1. AOption (a)

    758

  2. BOption (b)

    876

  3. COption (c)

    978

  4. DOption (d)

    954

  5. EOption (e)

    832

View answer & explanation

Correct answer

Answer: (c)C.

978

Why this answer is correct

Solution:

Company C sold digital watch = 192

Company C sold 60% of analog watch.

So, digital watch sold = 40%

40% = 192

60% = 288

Digital watch sold by company C = 192

Analog watch sold by company C = 288

Ratio of total sales of A : B : C = 7 : 9 : 6

6 unit = 480

Total sales of A = 480/6 × 7 = 560

Total sales of B = 480/6 × 9 = 720

Ratio of company A digital and analog watch sells = 5 : 3

8x = 560

x = 70

5x = 350

3x = 210

Sum of the analog and digital watch sales of Company C equals the number of analog watches sold by Company B

Analog watch sells in company B = 192 + 288 = 480

Total number of analog watches sold by all three companies = 210 + 480 + 288 = 978

Hence, option(3) is correct.

Question 34

RBI Assistant 2023• Numerical Ability

What value will come in the place of the question mark ‘?’ in the following question?

15 × 100 - 10 × 800 + 60 ÷ 6 = ? × 50 ÷ 10

  1. AOption (a)

    -1198

  2. BOption (b)

    1298

  3. COption (c)

    -1298

  4. DOption (d)

    -1289

  5. EOption (e)

    -1239

View answer & explanation

Correct answer

Answer: (c)C.

-1298

Why this answer is correct

Concept used:

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 second, 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 least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculations:

15 × 100 - 10 × 800 + 60 ÷ 6 = ? × 50 ÷ 10

⇒ 15 × 100 - 10 × 800 + 10 = ? × 5

⇒ 1500 - 8000 + 10 = ? × 5

⇒ -6490 = ? × 5

⇒ ? = -6490/5

⇒ ? = -1298

Hence, -1298 will come in the place of (?).

Question 35

RBI Assistant 2023• Numerical Ability

What value will come in the place of the question mark ‘?’ in the following question?

√256 - √169 × 7 + 18 × 10 + 140 – 12 = ?

  1. AOption (a)

    405

  2. BOption (b)

    -407

  3. COption (c)

    410

  4. DOption (d)

    407

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (e)E.

None of these

Why this answer is correct

Concept used:

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 second, 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 least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculations:

√256 - √169 × 7 + 18 × 10 + 140 – 12 = ?

⇒ 16 - 13 × 7 + 18 × 10 + 140 – 12 = ?

⇒ 16 - 91 + 180 + 140 – 12 = ?

⇒ 336 - 91 - 12

⇒ ? = 233

Hence, 233 will come in the place of (?).

Question 36

RBI Assistant 2023• Numerical Ability

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

70% of 200 + 2 × ? = 12% of 5000

  1. AOption (a)

    222

  2. BOption (b)

    256

  3. COption (c)

    230

  4. DOption (d)

    240

  5. EOption (e)

    235

View answer & explanation

Correct answer

Answer: (c)C.

230

Why this answer is correct

Concept:

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 the 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 least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Calculation:

Given expression is 

70% of 200 + 2 × ? = 12% of 5000

⇒ (70/100) × 200 + 2 × ? = (12/100) × 5000

⇒ 140 + 2 × ? = 0.12 × 5000

⇒ 2 × ? = 600 - 140

⇒ 2 × ? = 460

⇒ ? = 230

Hence, 230 will come in the place of (?).

Question 37

RBI Assistant 2023• Numerical Ability

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

72 × 35 + 145 × 58 + 65 × 19 = ? - √324

  1. AOption (a)

    12515

  2. BOption (b)

    12616

  3. COption (c)

    12826

  4. DOption (d)

    12813

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (e)E.

None of these

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.

Given expression is

72 × 35 + 145 × 58 + 65 × 19 = ? - √324

⇒ 2520 + 8410 + 1235 = ? - √324

⇒ 2520 + 8410 + 1235 = ? - 18

⇒ 2520 + 8410 + 1235 + 18 = ?

⇒ ? = 12183

12183 will come in the place of (?).

Hence, The correct Answer is : None of these.

Question 38

RBI Assistant 2023• Numerical Ability

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

35% of 500 + 55% of 600 = ? + 26% of 800

  1. AOption (a)

    306

  2. BOption (b)

    310

  3. COption (c)

    297

  4. DOption (d)

    300

  5. EOption (e)

    295

View answer & explanation

Correct answer

Answer: (c)C.

297

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.

Given expression is

35% of 500 + 55% of 600 = ? + 26% of 800

⇒ 175 + 330 = ? + 208

⇒ 175 + 330 - 208 = ?

⇒ ? = 297

Hence, 297 will come in the place of (?).

Question 39

RBI Assistant 2023• Numerical Ability

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

550% of ? ÷ 110 + 250% of 300 ÷ 75 = 25

  1. AOption (a)

    305

  2. BOption (b)

    298

  3. COption (c)

    300

  4. DOption (d)

    310

  5. EOption (e)

    295

View answer & explanation

Correct answer

Answer: (c)C.

300

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.

Given expression is

550% of ? ÷ 110 + 250% of 300 ÷ 75 = 25

⇒ 550% of ? ÷ 110 + 750 ÷ 75 = 25

⇒ 550% of ? ÷ 110 + 10 = 25

⇒ 550% of ? = 15 x 110

⇒ 550% of ? = 1650

⇒ ? = 300

Hence, 300 will come in the place of (?).

Question 40

RBI Assistant 2023• Numerical Ability

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

(25 + 68 - 42) + (54/9 × 4) = ? + 17

  1. AOption (a)

    54

  2. BOption (b)

    55

  3. COption (c)

    60

  4. DOption (d)

    58

  5. EOption (e)

    68

View answer & explanation

Correct answer

Answer: (d)D.

58

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.

Given expression is

(25 + 68 - 42) + (54/9 × 4) = ? + 17

⇒ (25 + 68 - 42) + (6 × 4) = ? + 17

⇒ 51 + 24 = ? + 17

⇒ 51 + 24 - 17 = ?

⇒ ? = 58

Hence, 58 will come in the place of (?).

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