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Question 141

Nainital Bank Clerk 2019• Quantitative Aptitude

Directions: Study the table given below and answer the questions carefully.

The table shows the number of employees in various departments in 5 different companies.

Mittal GroupTata GroupBirla GroupReliance GroupInfosys Group
IT department20035027070120
Management175200150340180
H.R5030253520
Finance3005012010075

What percentage of total employees are in the management department for all companies?

  1. AOption (a)

    42.63%

  2. BOption (b)

    36.53%

  3. COption (c)

    38.73%

  4. DOption (d)

    39.33%

  5. EOption (e)

    66.63%

View answer & explanation

Correct answer

Answer: (b)B.

36.53%

Why this answer is correct

Calculation:

Number of employees in management = 175 + 200 + 150 + 340 + 180

⇒ 1045

Total employees in 5 companies = 175 + 200 + 150 + 340 + 180 + 200 + 350 + 270 + 70 + 120 + 50 + 30 + 25 + 35 + 20 + 300 + 50 + 120 + 100 + 75 = 2860

∴ Required Percentage = 1045 / 2860 × 100

⇒ 36.53%

36.53% of total employees are in management department for all companies.

Question 142

Nainital Bank Clerk 2019• Quantitative Aptitude

Directions: Study the table given below and answer the questions carefully.

The table shows the number of employees in various departments in 5 different companies.

Mittal GroupTata GroupBirla GroupReliance GroupInfosys Group
IT department20035027070120
Management175200150340180
H.R5030253520
Finance3005012010075

What is the ratio of employees of the IT department, management, and finance between the Birla group and Reliance group?

  1. AOption (a)

    18 : 13

  2. BOption (b)

    15 : 17

  3. COption (c)

    18 : 17

  4. DOption (d)

    19 : 17

  5. EOption (e)

    10 : 13

View answer & explanation

Correct answer

Answer: (c)C.

18 : 17

Why this answer is correct

Calculation:

Number of employees in Birla group in the required departments = 270 + 150 + 120

⇒ 540

Number of employees in Reliance group in the required departments = 70 + 340 + 100

⇒ 510

∴ Required Ratio = 540 : 510

⇒ 18 : 17

The ratio of employees in the IT department, management, and finance between the Birla group and Reliance group is 18 : 17.

Question 143

Nainital Bank Clerk 2019• Quantitative Aptitude

Directions: Study the table given below and answer the questions carefully.

The table shows the number of employees in various departments in 5 different companies.

Mittal GroupTata GroupBirla GroupReliance GroupInfosys Group
IT department20035027070120
Management175200150340180
H.R5030253520
Finance3005012010075

What is the average number of employees from the IT department hired by all the companies taken together?

  1. AOption (a)

    252

  2. BOption (b)

    202

  3. COption (c)

    102

  4. DOption (d)

    402

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (b)B.

202

Why this answer is correct

Calculation:

Total number of employees in IT department = 200 + 350 + 270 + 70 + 120

⇒ 1010

∴ Required Average = 1010 / 5

⇒ 202

The average number of employees from the IT department hired by all the companies taken together is 202.

Question 144

Nainital Bank Clerk 2019• Quantitative Aptitude

Directions: Study the table given below and answer the questions carefully.

The table shows the number of employees in various departments in 5 different companies.

Mittal GroupTata GroupBirla GroupReliance GroupInfosys Group
IT department20035027070120
Management175200150340180
H.R5030253520
Finance3005012010075

What is the percentage of H.R employees in Infosys Group?

  1. AOption (a)

    30.45%

  2. BOption (b)

    6.06%

  3. COption (c)

    10.12%

  4. DOption (d)

    5.06%

  5. EOption (e)

    4.10%

View answer & explanation

Correct answer

Answer: (d)D.

5.06%

Why this answer is correct

Calculation:

Total number of employees in Infosys Group = 120 + 180 + 20 + 75

⇒ 395

Total H.R in Infosys = 20

∴ Required Percentage = 20 / 395 × 100

⇒ 5.06%

H.R employees is 5.06% in Infosys Group.

Question 145

Nainital Bank Clerk 2019• Quantitative Aptitude

Directions: Study the table given below and answer the questions carefully.

The table shows the number of employees in various departments in 5 different companies.

Mittal GroupTata GroupBirla GroupReliance GroupInfosys Group
IT department20035027070120
Management175200150340180
H.R5030253520
Finance3005012010075

What is the percentage of IT and management employees in Birla Group as compared to Management and H.R employees in Reliance Group?

  1. AOption (a)

    115%

  2. BOption (b)

    112%

  3. COption (c)

    102%

  4. DOption (d)

    96%

  5. EOption (e)

    100%

View answer & explanation

Correct answer

Answer: (b)B.

112%

Why this answer is correct

Calculation:

IT and management employees in Birla Group = 270 + 150

⇒ 420

Management and H.R employees in Reliance Group = 340 + 35

⇒ 375

∴ Required Percentage = 420 / 375 × 100

⇒ 112%

The percentage of IT and management employees in Birla Group as compared to Management and H.R employees in the Reliance Group is 112%.

Question 146

Nainital Bank Clerk 2019• Quantitative Aptitude

A milkman, in 50 liters mixture of milk and water keeps the ratio of milk and water in 3 : 2. One day he decided this ratio is to be 2 : 3, then find quantity of water to be further added in the mixture.

  1. AOption (a)

    25 litres

  2. BOption (b)

    30 litres

  3. COption (c)

    40 litres

  4. DOption (d)

    41 litres

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

25 litres

Why this answer is correct

Given:

Amount of mixture of milk and water is 50 liters

Actual ratio of milk and water is 3 : 2

Ratio required of milk and water is 2 : 3

Calculation:

In actual ratio

Quantity of milk in the mixture,

⇒ (50 × 3)/5 liters = 30 liters

Quantity of water in the mixture, 

⇒ (50 – 30) liters = 20 liters

According to question new ratio = 2:3

Let the quantity of water added in the mixture be x liters

Then,

Milk : water = 30 : (20 + x)

⇒ 2/3 = 30/(20 + x)

⇒ 90 = 40 + 2x

⇒ 50 = 2x

⇒ x = 25 liters

∴ The quantity of water to be added in the mixture is 25 liters.

Question 147

Nainital Bank Clerk 2019• Quantitative Aptitude

A dealer marks an article 50% above the cost price and sells it to a customer allowing two successive discounts of 20% and 15% on the marked price. if he gains Rs. 400 on the deal then the cost price of the article is? 

  1. AOption (a)

    Rs. 25,000

  2. BOption (b)

    Rs. 30,000

  3. COption (c)

    Rs. 20,000

  4. DOption (d)

    Rs. 15,000

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 20,000

Why this answer is correct

Given:

Marked Price = 50% above the Cost Price

Profit = Rs. 400

Successive Discounts = 20% and 15%

Formula Used:

Net Discount = Discount1 + Discount2 – [(Discount1 × Discount2)/100]

Calculation:

Let the CP be Rs. 100

Then, MP = [(100 + 50)/100] × 100 = Rs. 150

Hence, Net Discount = 20 + 15 – [(20 × 15)/100] = 32%

⇒ 32% of 150 = 32/100 × 150 = 48

⇒ SP = 150 – 48 = 102 

⇒ Profit = 102 – 100 = Rs.2 

According to the given question,

2 ratio = 400

∴ C.P = 100 ratio = 20000

∴ C.P of the article is Rs. 20,000 

Alternate MethodLet the CP be 100

MP = 150

SP = 150 - (20% × 150)

⇒ 120

Final SP = 120 - (15% × 120)

⇒ 102

Net gain = 2%

Actual CP = 400/2%

⇒ 20000

Question 148

Nainital Bank Clerk 2019• Quantitative Aptitude

In an election, there were only two candidates. 6% of the voters in an election did not cast their votes. The winner obtains 58% of the total voting list and defeated the other candidate by 440 votes. What was the total number of voters in this election?

  1. AOption (a)

    180

  2. BOption (b)

    2000

  3. COption (c)

    1800

  4. DOption (d)

    200

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

2000

Why this answer is correct

Given 

Votes that not casted in election = 6%

Winner obtained = 58% of the total voters

Winner defeated the looser by = 440 votes

Formula used

Looser obtained votes = casted votes in election – votes obtained by winner

Calculation

Let the total number of voters = 100 units

Casted vote in election = 100 – 6 = 94 units

Winner gets = 58% of total votes = 58 units

So, votes got by loser = 94 units – 58 units = 36 units

According to question,

Winner got extra votes than the loser = 440

⇒ (58 – 36) units = 440

⇒ 22 units = 440

⇒ 1 unit = 20

⇒ 100 units = 20 × 100 = 2000

∴ Total number of voters was 2000 in the election.

Question 149

Nainital Bank Clerk 2019• Quantitative Aptitude

A, B and C started a business. A and B invested in the ratio of 3 ∶ 7 and C invested Rs. 8,000 the same amount as the difference between the investment of A and B. What is the amount invested by B?

  1. AOption (a)

    Rs. 10,000

  2. BOption (b)

    Rs. 6,000

  3. COption (c)

    Rs. 12,000

  4. DOption (d)

    Rs. 14,000

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

Rs. 14,000

Why this answer is correct

Given:

The ratio of the amount invested by A and B = 3 ∶ 7

Amount invested by C = Difference between the amount invested by A and B = Rs. 8,000

Calculation:

Let the amount invested by A and B be 3x and 7x respectively.

Amount invested by C = Difference between the amount invested by A and B

8000 = 7x - 3x

⇒ x = 8000/4

⇒ x = 2000

The amount invested by B = 7x

⇒ 7 × 2000

⇒ Rs. 14,000

∴ The amount invested by B is Rs. 14,000.

Question 150

Nainital Bank Clerk 2019• Quantitative Aptitude

The speed of a 100 m long train is 30 km/h. There is a man standing right next to the railway line. How much time will the train take to cross this man, provided the speed of the train increases by 50%?

  1. AOption (a)

    6 seconds

  2. BOption (b)

    8 seconds

  3. COption (c)

    10 seconds

  4. DOption (d)

    12 seconds

  5. EOption (e)

    14 seconds

View answer & explanation

Correct answer

Answer: (b)B.

8 seconds

Why this answer is correct

8 seconds

Given:

The length of the train = 100 metres

The speed of the train = 30 km/h

Formula and Concept Used:

Time taken by the train of length \(l\) meters to pass or pole or a standing man or a post is equal to the time taken by the train to cover \(l\) meters.

Conversion of speed from km/h to m/s = velocity in km/h × \( (5/18) \)

Calculation:

When the speed of the train increases by 50%, the speed of the train now becomes 

(150/100) × 30 = 45 km/h

We can convert this speed from km/h into m/s as follows: - 

45 × (5/18) = 12.5 m/s

Thus, the time taken by the train to cross the man will be: -

100 / 12.5 = 8 seconds.

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