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HPCL Engineer Electrical FT 3 - Mechanical Engineering MCQ


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30 Questions MCQ Test - HPCL Engineer Electrical FT 3

HPCL Engineer Electrical FT 3 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The HPCL Engineer Electrical FT 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The HPCL Engineer Electrical FT 3 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HPCL Engineer Electrical FT 3 below.
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HPCL Engineer Electrical FT 3 - Question 1

Choose the correct phrase from the given option and make a conditional sentence.

If we _________ more money, we could buy a new car.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 1

The correct answer is: had

Key Points

  • The third conditional is used when the condition is impossible.
  • The condition is "if we had more money".
  • The result is "we could buy a new car".
  • The verb in the if-clause is in the past perfect tense.
  • The verb in the main clause is in the conditional tense. Therefore, the correct answer is- had
HPCL Engineer Electrical FT 3 - Question 2

Complete the sentence with correct connector. Husna was in pain _____ She did not tell anyone of her predicament.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 2

The correct answer is 'Option 1' - however.

Key Points

  • The connective 'however' is used to introduce a sentence, or part of a sentence, which surprising or which contrasts with what has just been said.
  • In this scenario, it's surprising or unexpected that Husna did not tell anyone about her pain, hence 'however' is the suitable connector.
  • It shows that despite Husna being in pain, she did not share her predicament with anyone.
  • Therefore, 'however' is the appropriate connector in this context.

Therefore, the correct answer is - 'Option 1' - however.

Additional Information

  • In Spite of (Option 2): This phrase is used to show that something happens or is true even though something else might have prevented it. However, it is not suitable in this sentence, because a contrast between two independent clauses is being emphasized.
  • Because (Option 3): This is used to introduce a reason or justification, which is not suitable in this context.
  • But (Option 4): While 'but' can be used to introduce a phrase or clause contrasting with what has already been mentioned, 'however' would be the more appropriate choice in this formal context.
  • The remaining questions will be answered in separate responses following the same format.
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HPCL Engineer Electrical FT 3 - Question 3

Choose the correct spelling

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 3

The correct answer is 'Option A' i.e. 'Laryngoplegia'.

Key Points

  • Laryngoplegia refers to paralysis of the larynx, also known as the voice box.
  • For example: The patient was diagnosed with laryngoplegia which caused difficulty in speaking.
  • Therefore, the correct answer is- 'Option A i.e Laryngoplegia.'

Additional Information

  • 'Option B', 'Option C', and 'Option D' are incorrectly spelled with added or misplaced characters.
HPCL Engineer Electrical FT 3 - Question 4

Choose the word that means the same as the given word.

Edacious

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 4

The correct answer is 2) Gluttonous.

Key Points

  • The word "edacious" means having a voracious or excessively eager appetite, often associated with being gluttonous or excessively hungry.
    (तीव्र या अत्यधिक भूख होना). It describes someone or something that has a strong desire for consuming food.
    • Example: "The edacious eater devoured the entire pizza in minutes, leaving no slice behind."
    • In this example, "edacious" describes the person's insatiable appetite and their quick consumption of the entire pizza.
  • In conclusion, the word that means the same as "edacious" is 2) Gluttonous, as it conveys the idea of having an excessively eager appetite or being inclined towards overeating(अधिक खाने की ओर प्रवृत्त होना).
    • Example: Despite already having a full dinner, Tom couldn't resist indulging in a gluttonous feast of desserts.

Additional Information

  • Now let's examine the other options:
  • Solvent: (अन्‍य पदार्थ को अपने में विलीन करने वाला तरल; विलायक) This option does not have the same meaning as "edacious." "Solvent" refers to being financially stable or able to pay debts, which is unrelated to the concept of being excessively hungry.
    • Example: "Despite the economic downturn, the company remained solvent and was able to pay its employees."
  • Insolvent: (धन की कमी के कारण ऋण चुकाने में असमर्थ; दिवालिया)This option does not have the same meaning as "edacious." "Insolvent" refers to being in a state of financial distress or bankruptcy, which is unrelated to the concept of having a voracious appetite.
    • Example: "Due to mounting debts, the business became insolvent and had to file for bankruptcy."
  • Satiated: (भूख को पूरी तरह शांत करना; तृप्त करना)This option does not have the same meaning as "edacious." "Satiated" means being fully satisfied or no longer hungry or thirsty, which is the opposite of the intense hunger associated with "edacious."
    • Example: "After enjoying a delicious meal, he felt satiated and content."
HPCL Engineer Electrical FT 3 - Question 5

Directions: In this section, each of the following sentences has a blank space and each sentence is followed by four options. Select the most appropriate option to fill the blank space.

The cows, as well as the horse, _____ on the grass in the field.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 5

The correct answer is "are grazing."

Key Points

  • "Subject verb agreement" means that a singular subject (she, Raj, star) takes a singular verb (is, goes, shines), whereas a plural subject takes a plural verb.
  • In the given sentence, we will use a modal auxiliary verb as a helping verb with the main verb.
  • When two subjects are joined by as well as, the verb agrees which comes is plural verb.
    • Example: The employees of the organization, as well as the CEO, have an interest in the project’s success.
  • Thus, we will use plural verb for the respective subjects.
  • Thus, the correct verb to use in the blank is "are grazing."
  • The correct sentence: The cow, as well as the horse, are grazing on the grass in the field.

Hence, the correct answer is option 3.

HPCL Engineer Electrical FT 3 - Question 6

Select the option that can be used as a one-word substitute for the underlined group of words.

Ms. Scarlet was indifferent to pain and pleasure, she never complained.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 6

The correct answer is 'Stoic'.

Key Points

  • Meaning of the words:
    • Hypocrite (नाटकीय) - a person who pretends to have virtues, moral or religious beliefs, principles, etc., that he or she does not actually possess.
    • Stoic (संतापहीन) - a person who can endure pain or hardship without showing their feelings or complaining; someone who remains calm and unaffected by pleasure or pain.
    • Versatile (बहुमुखी) - able to adapt or be adapted to many different functions or activities; capable of turning easily from one to another.
    • Amateur (अव्यावसायिक) - a person who engages in a pursuit, especially a sport, on an unpaid basis.
      • Example sentence using the correct option: Ms. Scarlet's stoic demeanor was evident as she endured the pain without complaint.
HPCL Engineer Electrical FT 3 - Question 7
Choose the option that best expresses the meaning of the highlighted idiom/phrase:
If you don't have a place to stay, you can't get a job, and with no job you can't get an apartment. It's a Catch 22 situation.
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 7

The correct answer is "a situation where one factor depends on another"

Key Points

  • Catch 22 situation is a phrase used to describe a situation in which a person is in a dilemma because two conflicting rules or conditions make it impossible to satisfy both of them at the same time(ऐसी स्थिति जहां एक कारक दूसरे पर निर्भर करता है).
  • This phrase is often used to describe situations in which someone is trapped in a paradoxical situation, and no matter what they do, they cannot find a solution.
  • Example:
    A job applicant must have experience to be hired, but they cannot gain experience without first being hired. This is a classic example of a Catch 22 scenario.
  • Thus, the correct answer is Option 1.

Correct answer: a situation where one factor depends on another"

HPCL Engineer Electrical FT 3 - Question 8

Complete the sentence using appropriate option "Shyam and his brothers" ________ a famous sweet shop in our neighbourhood.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 8

The correct answer is: Option 4 ("Shyam and his brothers" is a famous sweet shop in our neighbourhood.)

Key Points

The correct answer is "is".

The sentence is talking about Shyam and his brothers as a group. The verb "is" is used for singular subjects, while the verb "are" is used for plural subjects. In this case, the subject is "Shyam and his brothers", which is a plural subject. However, we are talking about them as a group, so we use the singular verb "is".

HPCL Engineer Electrical FT 3 - Question 9

Choose the word that means the same as the given word.

Impede

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 9
The correct answer is 'Option 4' i.e. 'Thwart'.
Key Points
  • "Impede" (रोकना) means to hinder or obstruct progress.
  • "Thwart" (विफल करना) also means to prevent or obstruct.
Therefore, the correct answer is- 'Thwart'.
Additional Information
  • "Stalwart" (मज़बूत) refers to someone loyal and hardworking.
  • "Stampede" (भगदड़) is a sudden rush of a crowd.
  • "Sore" (चोट) is either an injury or can describe feeling upset.
HPCL Engineer Electrical FT 3 - Question 10
Select the most appropriate option to fill in the blank.
Without warning, the volcano _______ a large amount of ash, forcing the residents to _______ the area.
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 10

The correct answer is "ejected; evacuate."

Key Points

  • "Ejected" - This is the past tense of the verb "eject", which means to discharge or expel something, in this case, a large amount of ash from the volcano.
  • The phrase "Without warning" implies a sudden or unexpected event that happened in the past, and so, the past tense verb "ejected" is the most contextually appropriate form.
  • It clearly communicates that this happened as a single event in the past.
  • "Evacuate" - This verb means to move people from a dangerous place to a safe place.
  • In the sentence, it is preceded by "to," which requires the base form of a verb.
  • As "force" implies a need for an action as response to a situation, "evacuate" fits perfectly to denote the action that residents were required to take as a direct result of the ash eruption from the volcano.

Therefore, the correct answer is "Option 3."

HPCL Engineer Electrical FT 3 - Question 11

Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.

"I overheard him saying his going to propose to her."
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 11

The correct answer is "overheard him say he's going to".

Key Points

  • The original sentence has a possessive pronoun 'his' when it should have a subject pronoun 'he'.
  • It's more natural to follow 'overhear' with an infinitive instead of a present participle.
  • So the appropriate correction is "I overheard him say he's going to propose to her."
  • The use of 'say' with 'overhear' creates a more common and natural expression.
  • The contraction "he's" correctly represents "he is" in reported speech.

Therefore, the correct answer is 'Option 1'.

Additional Information

  • 'Overheard him saying he's going to' is grammatically correct but less formal and natural.
  • 'Overheard his saying that he's going to' is awkward and less natural sounding. It's also more formal and outdated.
  • 'No improvement' is incorrect because the sentence as given includes a possessive pronoun error.
HPCL Engineer Electrical FT 3 - Question 12

Directions : Out of the given alternatives, choose the one which can be substituted for the given words or sentence.

One appointed by two parties to solve a dispute

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 12

The correct answer is: Option 2 i.e. Arbitrator.

Key Points

  • The word "Arbitrator" means a person who is appointed to settle a dispute between two parties. (मध्यस्थ)
    • Example: The arbitrator was called in to resolve the conflict between the two companies.
  • "Arbitrator" is a neutral third-party individual who helps in resolving disputes outside the court, often used in legal or business contexts. (मध्यस्थ)
    • Example: An arbitrator helped the employees and the management reach a fair agreement.

Therefore, the correct answer is: Arbitrator.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Judge (न्यायाधीश): An official appointed to decide cases in a court of law.
    • Example: The judge delivered a fair verdict after considering all the evidence.
  • Advocate (वकील): A person who publicly supports or recommends a particular cause or policy.
    • Example: She is an advocate for human rights.
  • Barrister (बैरिस्टर): A type of lawyer in common law jurisdictions who works at higher levels of court.
    • Example: The barrister represented his client in the Supreme Court.

HPCL Engineer Electrical FT 3 - Question 13

Choose the word that means the same as the given word.

Jarred

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 13

The correct answer is: 'Altercated'.

Key Points

  • The word "jarred" means causing a feeling of unease or discord.(बेचैनी या कलह की भावना पैदा करना)
  • Similarly, "altercated" means to engage in a heated or argumentative dispute or quarrel.(तर्कपूर्ण विवाद या झगड़े में शामिल होना)
    • Example: "The heated debate between the two politicians jarred the atmosphere in the room."
    • In this example, "jarred" describes the tense and uncomfortable impact of the argument.
    • Example: The two neighbors altercated loudly in the middle of the street, drawing the attention of passersby.
  • In summary, the correct answer is "altercated" as it conveys the sense of engaging in a heated dispute or quarrel, which aligns with the meaning of "jarred" in the context of conflict or discord.
HPCL Engineer Electrical FT 3 - Question 14

Fill up the blank with the correct option.
The jury ______ given its decision.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 14

The correct answer is "Option 3" i.e. 'has'.

Key Points

  • Here, the question revolves around verb agreement. In English, collective nouns (like jury, team, family, etc.) take a singular verb when they act as a single unit.
  • For example: "The committee has decided the date for the meeting."
  • The correct verb 'has' (हैं) matches with the singular noun 'jury' as it functions as a single unit.

Therefore, the correct answer is - Option 3 "has".

HPCL Engineer Electrical FT 3 - Question 15

Select the most appropriate meaning of the given idiom.

At crossroads

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 15

The correct answer is 'In confusion'.

Key Points

  • The meaning of the idiom 'At crossroads' means 'The state of bring confused and bewildered.'
    • ​Example: I am at crossroads in choosing the best scheme for me.
  • Thus, the correct answer is 'In confusion'.

Additional Informatio

Idioms for confusion.

  • Alphabet soup.
  • At sea.
  • At sixes and sevens.
  • A chicken and egg situation
HPCL Engineer Electrical FT 3 - Question 16
Select the most appropriate option to fill in the blank.
My mother found it difficult _______ the news of my failure, but she tried _______ supportive.
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 16

The correct answer is "to digest; to be."

Key Points

  • In this context, "to digest" is used metaphorically to mean "to fully understand or absorb information".
  • The infinitive form "to digest" is appropriate here following the adjective "difficult".
  • It creates the structure "find it difficult to" which is commonly used in English to express that someone has trouble doing something or that performing an action is not easy.
  • So in this case, "to digest " following "found it difficult" suggests that accepting the news of the speaker's failure was hard for the mother.
  • After "tried", we use the infinitive form "to be".
  • The infinitive here expresses intention or a conscious effort made by the mother.
  • The usage of "to be" describes the mother's willing action to appear or act in a supportive manner despite the difficulty she's experienced from the news.
    • It provides a contrast to the initial difficulty and emphasizes her intended supportiveness.
  • So, the phrase "my mother found it difficult to digest the news of my failure, but she tried to be supportive" communicates two contrasting actions.
    • It reveals the mother's initial emotional struggle, followed by her conscious effort to be supportive regardless of her personal feelings.

Therefore, the correct answer is "Option 1."

HPCL Engineer Electrical FT 3 - Question 17

Directions: In this section, each of the following sentences has a blank space and each sentence is followed by four options. Select the most appropriate option to fill the blank space.

This time next week, they ______ in Canada.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 17

The correct answer is "will be"

Key Points

  • The sentence is in the future tense and is referring to a future time, "this time next week." "Will be" is the correct future tense form of the verb "to be".
  • The other options are incorrect because they do not match the tense or meaning of the sentence.
    • "Have been" is the present perfect tense, which is used to describe an action that started in the past and continues up to the present. It does not fit in the context of the sentence, which is referring to a future event.
    • "Be" is the simple present tense, which is used to describe actions that are currently happening or are generally true. It does not fit in the context of the sentence, which is referring to a future event.
    • "Had been" is the past perfect tense, which is used to describe an action that happened before another past event. It does not fit in the context of the sentence, which is referring to a future event.
  • Therefore, the correct answer is "will be" because it matches the future tense and meaning of the sentence.

Correct sentence: This time next week, they will be in Canada

HPCL Engineer Electrical FT 3 - Question 18

A sum of money becomes Rs. 39930 in 3 years and Rs. 36300 in 2 years when kept at compound interest (compounding annually). What is the sum?

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 18

Given:

Amount in 3 years = Rs. 39930

Amount in 2 years = Rs. 36300

Formula used:

A = P(1 + r/100)n

Where, A = Amount, r = Rate of interest, n = Time in year

Calculation:

According to the question,

39930 = P(1 + r/100)3 ----(1)

36300 = P(1 + r/100)2 ----(2)

Dividing equation (1) by equation (2), we get

(39930/36300) = [(1 + r/100)3/(1 + r/100)2]

⇒ 11/10 = 1 + r/100

⇒ r/100 = 1/10

⇒ r = 10%

From equation (2),

36300 = P[1 + (10/100)]2

⇒ 36300 = P(11/10)2

⇒ P = 36300 × (100/121)

⇒ P = 30000

∴ The sum is Rs. 30000.

HPCL Engineer Electrical FT 3 - Question 19
If x + y = 7 and x2 + y2 = 25, then the value of is:
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 19

Given:

x + y = 7 ----(i)

x2 + y2 = 25 ----(ii)

Calculation:

on taking square of both the side of eqn (i)

(x + y)2 = x2 + y2 + 2xy

72 = 25 + 2xy

2xy = 24

xy = 12

Now,

HPCL Engineer Electrical FT 3 - Question 20
The area of a square is 169 cm2. What is the perimeter of the square formed with the diagonal of the original square as its side?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 20

Given:

The area of a square is 169 cm2.

Formula used:

Area of square = (side)2

The Perimeter of the square = 4 × side

Length of diagonal of square = √2 × side

Calculation:

Let the length of side of square be a cm

Given, the area of square = 169 cm2

So, a2 = 169

⇒ a = 13

The length of diagonal = √2 × 13

⇒ 13√2 cm

The length of side of new square is 13√2 cm

The perimeter of new square is 4 × 13√2

∴ The perimeter of new square is 52√2 cm.

HPCL Engineer Electrical FT 3 - Question 21
At present, A is younger than B by 8 years. If 4 years ago, their ages were in the ratio 1 ∶ 2, then what is the present age of B (in years)?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 21

Given:

A is younger than B by 8 years

4 years ago, the ratio of the ages of A and B = 1 ∶ 2

Calculation:

Let, the present age of A = x years

So, the present age of B = (x + 8) years

Then, (x - 4)/[(x + 8) - 4] = 1/2

⇒ (x - 4)/(x + 4) = 1/2

2x - 8 = x + 4

2x - x = 8 + 4

x = 12

So, B's present age = 12 + 8 = 20 years

∴ The present age of B (in years) is 20 years

HPCL Engineer Electrical FT 3 - Question 22
Ratio of height and radius of a cylinder is 3 : 2. If volume of cylinder is 12000π, then find radius of cylinder
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 22

Given:

Ratio of height and radius of cylinder 3 : 2

Volume of cylinder = 12000π

Formula:

Volume of cylinder = πr2h

Calculation:

Ratio of height and radius of cylinder = 3 : 2 = 3x : 2x

According to the question

π × (2x)2 × 3x = 12000π

⇒ 4x2 × 3x = 12000

⇒ x3 = 12000/12

⇒ x = ∛1000

⇒ x = 10

∴ Radius of the cylinder = 2 × 10 = 20 cm
HPCL Engineer Electrical FT 3 - Question 23

The cost price of 8 tables is equal to the selling price of 5 tables. Find the percentage gain.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 23

Given:

CP of 8 tablets = SP of 5 tablets

Formula:

Profit = SP - CP

Profit % = (SP - CP)/CP × 100

Calculation:

Let CP of one tablet be Rs.100.

CP of 8 tablets = Rs.800 = SP of 5 tablets

SP of one tablet = 800/5 = Rs.160

∴ Profit percentage = [(160 - 100)/100]× 100 = 60%

HPCL Engineer Electrical FT 3 - Question 24
Varun saves Rs. 6,000 as average in the first four months, Rs. 8,000 as average for the next three months and Rs. 14,000 as average for the last five months. If he spends Rs. 80,000 in the whole year, then what will be the average monthly salary?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 24

Given:

Varun saves Rs. 6,000 in the first four months, Rs. 8,000 for the next three months and Rs. 14,000 for the last five months

he spends Rs. 80,000 in the whole year

Formula used:

Income = Expenditure + Savings

Total Sum = Average × Number of terms

Calculation:

Total Savings = 6000 × 4 months + 8000 × 3 months + 14000 × 5 months

= 24000 + 24000 + 70000

= 118000

Total Expenditure = 80000

Total Income = 80000 + 118000

= 198000

Monthly salary = 198000/12

= 16500

Answer is Rs.16500.

HPCL Engineer Electrical FT 3 - Question 25
If x : 5 = y : 10 = z : 15, then = ?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 25

Given:

x : 5 = y : 10 = z : 15

Concept used:

If a : b = c : d = e : f, then

we let k = a : b = c : d = e : f.

Solution:

Using the above concept we have:

k = x : 5 = y : 10 = z : 15

x = 5k, y = 10k and z = 15k.

Then x + y + z = 5k + 10k + 15k = 30k.

Thus,

(x + y + z) / x

= 30k / 5k

= 6.

(x + y + z) / x = 6.

HPCL Engineer Electrical FT 3 - Question 26
A dealer sold an article costing ₹1,500 at a profit of 20% to a shopkeeper who sold it to a customer at a profit 20%. What is the cost price for the customer?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 26

Given:

A dealer sold an article costing ₹1,500 at a profit of 20% to a shopkeeper who sold it to a customer at a profit 20%.

Concept used:

Selling Price = Cost Price × (1 + Profit%)

Calculation:

Cost price for the shopkeeper = 1500 × 1.2 = Rs. 1800

Cost price for the customer = 1800 × 1.2 = Rs. 2160

∴ The cost price for the customer is Rs. 2160.

HPCL Engineer Electrical FT 3 - Question 27

The average weight of 6 members of a family is 25 kg, If one family member whose weight is 40 kg leave the group, then find the new average weight of remaining family members.

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 27

The average weight of n members of a family is w kg, If one family member whose weight is W kg leaves the group,

then the new average weight of remaining family members = y

So,

W = {n × (w - y)} + y

According to the question,

⇒ 40 = 6 × (25 - y) + y

⇒ 40 = 150 - 6y + y

⇒ 40 = 150 - 5y

⇒ 5y = 150 - 40

⇒ 5y = 110

⇒ y = 22 kg

Therefore, '22 kg' is the required answer.

HPCL Engineer Electrical FT 3 - Question 28

Three pipes X, Y and Z can fill a pool in 12, 15 and 20 hours respectively. If pipe X is open all the time and pipe Y and pipe Z are open for 1 hour each alternatively, what will be the total hours required to full the pool?

Detailed Solution for HPCL Engineer Electrical FT 3 - Question 28

Given:

Pipes X, Y, and Z can fill a pool in 12, 15, 20 hours respectively.

Concept:

If a tap can fill a tank in x hours, then the tank filled by the tap in 1 hour = 1/x of the total tank.

Calculation:

Part filled by X and Y in 1 hours

⇒ (1/12) + (1/15)

⇒ (5 + 4)/60

⇒ 9/60

⇒ 3/20 ----(1)

Part filled by X and Z in the next 1 hours

⇒ (1/12) + (1/20)

⇒ (5 + 3)/60

⇒ 8/60

⇒ 2/15

Part filled in 2 hours = (3/20) + (2/15)

⇒ (9 + 8)/60

⇒ 17/60

Part filled in 6 hours = 3 × 17/60 = 17/20

Remaining part = 1 – (17/20)

⇒ 3/20

This part will be filled by (X + Y) in 1 hour by eq. (1)

Total time = 6 + 1 = 7 hours

∴ The required time is 7 hours.

HPCL Engineer Electrical FT 3 - Question 29
A sum of Rs. 8600 was divided between A, B and C, such that A’s share is 16.67% of B’s share and B’s share is 16.67% of C’s share. How much money did A receive?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 29

Given:

Sum = Rs. 8600

A = 16.67% of B

B = 16.67% of C

Calculation:

Let A’s share be Rs. ‘x’

A’s share = 16.67% of B’ share

⇒ x = 1/6 × (B’s share)

⇒ B’s share = 6x

Also, B’s share = 16.67% of C’s share

⇒ 6x = 1/6 × (C’s share)

⇒ C’s share = 36x

Now, A’s share + B’s share + C’s share = 8600

⇒ x + 6x + 36x = 8600

⇒ 43x = 8600

⇒ x = 8600/43 = Rs. 200

∴ A received Rs. 200
HPCL Engineer Electrical FT 3 - Question 30
How many 200 mm lengths can be cut from 10 m of ribbon?
Detailed Solution for HPCL Engineer Electrical FT 3 - Question 30

Given:

200 mm lengths can be cut from 10 m of ribbon

Concept:

1m = 1000 mm

10 m = 10000 mm

Calculation;

We have,

Number of 200 mm lengths that can be cut from 10 m of ribbon

⇒ 50

∴ 50 lengths can be cut from 10 m of ribbons.

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Top Courses for Mechanical Engineering