Previous Year Question Paper

GDS To MTS Question Paper 2025 Tamil Nadu Circle

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GDS To MTS Question Paper 2025 Tamil Nadu Circle questions and answers

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Question 1

#651

Which of the following statements is/are correct?

A

For being recognized valid, the impressions of frank should consist of both Value Die and License Die

B

Machine franked articles posted in letter boxes shall be treated as prepaid articles

C

Both I and II

D

None

Correct answer keyA

Explanation

A valid frank impression must consist of both a Value Die and a License Die.

Machine franked articles dropped in letter boxes are treated as unpaid, making statement (b) incorrect.

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Question 2

#652

The establishment of RMS Sorting Assistants which is on duty at the same time in a Mail Office is termed as

A

Set

B

Section

C

Circle

D

Group

Correct answer keyA

Explanation

In the Railway Mail Service (RMS), a group of Sorting Assistants who are on duty at the same time in a Mail Office or a Transit Mail Office is collectively referred to as a 'Set'.

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Question 3

#653

Which of the following statements is/are correct?
I. Sub Foreign Post Office is an Office of Exchange.
II. The sub foreign Post Office carries out the work of customs examination, assessment and accounting of customs duty.

A

I Only

B

II Only

C

Both I and II

D

None

Correct answer keyB

Explanation

A Sub-Foreign Post Office is a Post Office that is not an Exchange Office, meaning it neither closes bags for other countries nor receives bags directly from foreign countries.

However, it carries out customs examination, assessment, and accounting of customs duty.

These offices are established mainly for the convenience of senders and addressees who may need to submit documents or complete customs formalities for the dispatch or release of foreign articles.

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Question 4

#654

Any Person who desires to avail the facility of having his mail delivered through a post box should submit an application in writing in the form prescribed to the concerned

A

Postmaster

B

Head of Division

C

Head of Region

D

Head of Circle

Correct answer keyA

Explanation

To rent a Post Box for receiving mail, an application must be submitted in the prescribed format directly to the Postmaster of the concerned post office where the facility is available.

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Question 5

#655

RLO stands for

A

Registered Letter Office

B

Refused Letter Office

C

Returned Letter Office

D

Regional Letter Office

Correct answer keyC

Explanation

A Returned Letter Office (RLO) is established at the Headquarters of a Postal Circle and deals with unclaimed or refused articles, as well as articles that have no address or have incomplete or illegible addresses.

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Question 6

#656

A ______ is a collection of faced unregistered articles of the letter mail securely tied with a check slip at the top

A

Registered Bundle

B

Labelled Bundle

C

Transit Bundle

D

Insured Bundle

Correct answer keyB
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Question 7

#657

Which of the following statements regarding Joint Life Assurance (Yugal Suraksha) is/are correct?
I. Minimum Sum Assured 20,000; Maximum 50 lac
II. Minimum Term of Policy 5 years and maximum term is 45 years

A

I Only

B

II Only

C

Both I and II

D

None

Correct answer keyA

Explanation

Under Postal Life Insurance (PLI), Yugal Suraksha (Joint Life Assurance) allows a minimum sum assured of INR 20,000 and a maximum of INR 50 lakh.

The term of policy ranges from 5 to 20 years, not up to 45 years, making statement I correct and statement II incorrect.

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Question 8

#658

The service Post cards which are employed for the purpose of determining the relative advantage of alternative mail routes or the cause of detention of article are called as ______

A

Trial Cards

B

Test letter

C

Acknowledgement Card

D

Inland Letter Card

Correct answer keyA

Explanation

Trial Cards are Service Post Cards [M-26(a)] used to determine the relative advantage of alternative mail routes or to identify the cause of delay in the transmission of postal articles.

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Question 9

#659

Which of the following is identified as Circle Bag Office?

A

Sub Record Office

B

General Post Office

C

National Sorting Hub

D

Postal Stores Depot

Correct answer keyD

Explanation

Circle Bag Office (CBO) is the Postal Stores Depot located at the Headquarters of a Postal Circle. It is responsible for inspecting Divisional Bag Offices (DBOs) and Unit Bag Offices (UBOs), verifying bag balances, procuring and distributing bags, and arranging the repair and auction of bags.

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Question 10

#660

Department of Posts provides Aadhar Enrolment and Updation services through its Post Offices. The fee to be collected from residents for Mandatory Biometric update (07 to 15 years and more than 17 years)

A

Rs 125

B

Rs 75

C

Rs 200

D

Free of Cost

Correct answer keyA

Explanation

As per the revised rates effective from 1 October 2025, the fee for Mandatory Biometric Update (with or without demographic update) for the 7–14 years and above 17 years age groups is ₹125.

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Question 11

#661

Which of the following statements about Senior Citizens Savings Scheme is/are correct?
I. There shall be only one deposit in the account in multiple of INR.1000/- maximum not exceeding INR 15 lakh.
II. Accountant can be prematurely closed any time after date of opening.

A

I Only

B

II Only

C

Both I and II

D

None

Correct answer keyB

Explanation

The maximum deposit limit for the Senior Citizens Savings Scheme (SCSS) is INR 30 lakh. Premature closure is permitted anytime after opening (subject to penalty deductions), making statement II correct.

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Question 12

#662

What is the tariff(excluding GST) for sending a letter weighing 20gms from Chennai to Chandigarh through Speed Post?

A

Rs 15

B

Rs 22

C

Rs 47

D

Rs 40

Correct answer keyC

Explanation

Domestic Speed Post is an affordable service that delivers document consignments up to 50 grams across India for ₹47 (plus GST, as applicable) and within the local area for ₹19 (plus GST, as applicable).

Domestic Speed Post Parcel delivers parcel consignments up to 50 grams across India for ₹35 and within the local area for ₹15.

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Question 13

#663

The Deen Dayal SPARSH Yojana is a scholarship scheme launched by Department of Posts to promote the reach of philately among students in the class category

A

Standard 1st to 3rd

B

Standard 3rd to 5th

C

Standard 6th to 9th

D

Standard 10th to 12th

Correct answer keyC

Explanation

Deen Dayal SPARSH (Scholarship for Promotion of Aptitude & Research in Stamps as a Hobby) Yojana awards scholarships to children from Standard VI to IX.

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Question 14

#664

With respect to a Domestic Speed Post article, in the case of loss of article, pilferage or damage, the compensation offered is

A

Speed Post charges or Rs 500 whichever is less

B

Double the speed post charges or Rs 1000 whichever is less

C

Speed Post charges or Rs 1000 whichever is less

D

Double the speed post charges or 500 whichever is less

Correct answer keyB
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Question 15

#665

POPSK is a joint venture of Department of Posts and _____

A

Ministry of Railways

B

Ministry of Rural Development

C

Ministry of External Affairs

D

Directorate General of Foreign Trade

Correct answer keyC

Explanation

Post Office Passport Seva Kendra (POPSK) is an initiative led jointly by the Ministry of External Affairs (MEA) and the Department of Posts (DoP).

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Question 16

#666

The service of Department of posts which provides complete mailing solutions including collection of mail from customer premises, franking, inserting, sealing and addressing etc to both small businesses as well as large companies is called ______

A

Logistics Post

B

Media Post

C

Direct Post

D

Business Post

Correct answer keyD

Explanation

Business Post offers comprehensive mailing solutions specifically designed to assist corporate customers with pre-mailing activities like collection, insertion, sealing, and franking.

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Question 17

#667

What services can be offered by a Franchise Outlet of India Post?
I. Sale of stamps and stationery.
II. Booking registered articles, speed post articles, money orders
III. Functioning as an agent for Postal Life Insurance (PLI) and provide related after sales service, including collection of Premium

A

I only

B

I and II only

C

II and III only

D

All of the Above

Correct answer keyD

Explanation

Services Offered by a Franchise Outlet

  • Sale of postage stamps and postal stationery.
  • Booking of Registered Articles, Speed Post Articles, and Money Orders.
  • Functioning as an agent for Postal Life Insurance (PLI) and providing related after-sales services, including collection of premiums.
  • Providing retail services such as bill, tax, and fine collection/payment on behalf of the Department.
  • Facilitating the delivery of e-Governance and other citizen-centric services.
  • Providing any other services introduced by the Department through Franchise Outlets in the future.
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Question 18

#668

Which of the following statements related to Post Box is/are correct?
I. Only fully prepaid unregistered articles of the letter mail are delivered through Post Box
II. A renter of Post Box is entitled to demand that a post box of a particular number or a post box in a particular row should be allotted to him

A

I Only

B

II Only

C

Both I and II

D

None

Correct answer keyA

Explanation

No renter is entitled to demand allotment of a Post Box with a particular number or a Post Box located in a particular row or position.

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Question 19

#669

Which among the following is the Branch of RMS where closed bags are received and despatched?

A

Nodal Delivery Centre

B

Packet Sorting Office

C

Transit Mail Office

D

Transcription Centre

Correct answer keyC

Explanation

A Transit Mail Office (TMO) is a branch of the Railway Mail Service (RMS) where closed mail bags are received and dispatched without sorting letters. It is managed by a Mail Agent or Mail Guard and may function in multiple sets depending on operational requirements.

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Question 20

#670

Which of the following is punishable under Section 263-A of Indian Penal Code?

A

Abstraction of postal articles

B

Manufacture and use of fictitious postage stamps

C

Recording of false delivery remarks

D

Damaging a letter box

Correct answer keyB

Explanation

Section 263-A of the Indian Penal Code explicitly prohibits and penalizes the manufacture & use of fictitious postage stamps.

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Question 21

#671

If a customer of Book Now Pay Later facility fails to make the payment by the due date, what is the rate of penalty that will be imposed on the bill amount from the bill date?

A

5% per annum

B

6% per annum

C

10% per annum

D

12% per annum

Correct answer keyD
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Question 22

#672

The license of a Franking machine is issued by.......?

A

Head Postmaster

B

Head of Postal Division

C

Sub Divisional Head

D

Head of Region

Correct answer keyB
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Question 23

#673

Official postal articles, should bear which of the following superscriptions, when posted by Government Officials authorised to use service postage stamps?

A

On India Postal Service

B

On India Government Service

C

On Department Mail Service

D

On Postal Government Service

Correct answer keyB

Explanation

Articles posted by authorized government officials using service postage stamps must carry the superscription 'On India Government Service' (OIGS).

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Question 24

#674

Which of the following statements is/are correct?
I. No article will be transmitted by post which has thereon, or on the cover thereof, any matter which is prejudicial to the maintenance of law and order
II. No article will be transmitted by post which has thereon, or on the cover thereof, any pictorial representation of a person who is a proclaimed offender
III. If any article in course of transmission is found to contravene the above provisions, it will be returned to the sender

A

I and II only.

B

I, II and III

C

II and III only

D

I only

Correct answer keyA

Explanation

Statements I and II correctly outline prohibited items. However, articles contravening these provisions will be sent to Returned Letter Office for disposal, making statement III incorrect.

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Question 25

#675

Which of the following statements about Public Provident Fund Account (PPF) is correct?
I. Any number of accounts can be opened in one's own name across the country
II. Premature closure shall be allowed after 3 years from the end of the year in which the account was opened under specific conditions
III. Maximum Deposit allowed is 1.5 lakh in a Financial Year

A

I and II only

B

I, II and III

C

II and III only

D

III only

Correct answer keyD

Explanation

An individual can open only one PPF account in their name, making statement I false.

The statement II is incorrect. Premature closure of a Public Provident Fund (PPF) Account is permitted after 5 years, not 3 years, from the end of the financial year in which the account was opened, subject to specified conditions such as life-threatening illness, higher education, or change in residential status to NRI.

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Question 26

#676

Stamps should be affixed generally to which area of address side of envelope?

A

Right Hand Top Comer

B

Left Hand Bottom Corner

C

Right Hand Bottom Corner

D

Left Hand Top Corner

Correct answer keyA
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Question 27

#677

Which of the following is related to Gyan Post?

A

Transmission of books or packet containing books

B

Knowledge sharing through Dak Chaupals

C

E-learning platform for postal employees

D

Digital knowledge Library of Department of Post

Correct answer keyA
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Question 28

#678

With respect to IPPB services, CELC stands for

A

Customer Enrolment Life Certificate

B

Child Enrolment Lite Client

C

Centralised Electronic Ledger Control

D

Child Enrolment Linkage Centre

Correct answer keyB

Explanation

CELC stands for Child Enrolment Lite Client, an initiative utilized by IPPB to enroll children below 5 years for Aadhaar and perform mobile number updates.

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Question 29

#679

The minimum amount for opening a Sukanya Samriddhi Account is

A

Rs 100

B

Rs 250.

C

Rs 500

D

Rs 1000

Correct answer keyB

Explanation

The minimum initial deposit required to open a Sukanya Samriddhi Account (SSA) is INR 250, reduced from the earlier limit of INR 1000.

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Question 30

#680

The weight of the letter card shall not exceed

A

2 gms

B

5 gms

C

7 gms

D

10 gms

Correct answer keyB

Explanation

According to Post Office Regulations, the maximum permitted weight for an Inland Letter Card is 5 grams.

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Question 31

#681

Who co-authored the book Freedom at Midnight?

A

Khushwant Singh and Dominique Lapierre

B

Larry Collins and Dominique Lapierre

C

Dominique Lapierre and William Dalrymple

D

Larry Collins and Mark Tully

Correct answer keyB

Explanation

The historical book 'Freedom at Midnight', which details the events surrounding India's independence and partition, was co-authored by Larry Collins and Dominique Lapierre.

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Question 32

#682

Whom did Divya Deshmukh defeat in the final of the Women's Chess World Cup 2025?

A

Tan Zhongyi

B

Harika Dronavalli

C

Humpy Koneru

D

Zhu Jiner

Correct answer keyC
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Question 33

#683

In cricket, the term "Mankading" refers to _____

A

Hitting the ball out of the stadium

B

Dismissing a non-striker for leaving the crease before the bowler delivers the ball

C

Taking a catch with one hand

D

Bowling without a run-up

Correct answer keyB

Explanation

Mankading is a method of run-out where the bowler dismisses the non-striker for wandering out of the crease before the ball is bowled, named after the Indian bowler Vinoo Mankad.

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Question 34

#684

In early 2025, which China-based artificial intelligence company gained global attention for developing advanced large language models that were seen as potential competitors to Open Al's GPT series?

A

Baidu

B

DeepSeek

C

SenseTime

D

iFlytek

Correct answer keyB

Explanation

DeepSeek gained significant global attention in early 2025 for releasing its advanced, cost-effective LLMs, challenging the dominance of OpenAI models.

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Question 35

#685

Which UNESCO World Heritage Site in Tamil Nadu, built over 850 years ago, features a famous optical illusion sculpture in which a bull and an elephant share the same head?

A

Brihadeeswarar Temple, Thanjavur

B

Airavatesvara Temple, Darasuram

C

Meenakshi Amman Temple, Madurai

D

Kailasanathar Temple, Kanchipuram

Correct answer keyB

Explanation

The Airavatesvara Temple in Darasuram, a Great Living Chola Temple, is famous for its intricate stone carvings, including the optical illusion sculpture of a bull and an elephant sharing a head.

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Question 36

#686

Which student residence in Highgate, North London, existed between 1905 and 1910, was founded with the patronage of lawyer Shyamji Krishna Varma, and aimed to promote nationalist views among Indian students in Britain?

A

India House

B

Swaraj Bhavan

C

Bharat Mandir

D

Hindustan Lodge

Correct answer keyA

Explanation

India House was established by Shyamji Krishna Varma in Highgate, London, and it became a prominent hub for Indian revolutionary nationalism abroad.

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Question 37

#687

Which country is geographically closest to India's southernmost point?

A

Indonesia

B

Sri Lanka

C

Maldives

D

Myanmar

Correct answer keyA

Explanation

India's southernmost point is Indira Point in the Andaman and Nicobar Islands. The closest foreign country to this specific point is Indonesia.

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Question 38

#688

Which branch of physics, developed in the early 20th century when Newton's classical mechanics could not explain the behaviour of particles at atomic and subatomic scales, describes the probabilistic nature of matter and energy?

A

Doppler Effect

B

Quantum Mechanics

C

Thermodynamics

D

Electrodynamics

Correct answer keyB

Explanation

Quantum Mechanics is the fundamental branch of physics that models the behavior of matter and light on the atomic and subatomic scale, introducing concepts like wave-particle duality and probability.

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Question 39

#689

Among all Indian states, one has the longest coastline, stretching over 1,600 km along the Arabian Sea, and is known for ports like Kandla and Mundra. Which state is it?

A

Kerala

B

Tamil Nadu

C

Gujarat

D

Andhra Pradesh

Correct answer keyC

Explanation

Gujarat boasts the longest coastline in India, extending for roughly 1600 kilometers along the Arabian Sea, featuring major maritime hubs such as the Kandla and Mundra ports.

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Question 40

#690

Who serves as the ex officio Chairman of the Rajya Sabha in India?

A

Prime Minister

B

Vice President of India

C

Speaker of the Lok Sabha

D

President of India

Correct answer keyB

Explanation

According to Article 64 of the Indian Constitution, the Vice President of India acts as the ex officio Chairman of the Council of States (Rajya Sabha).

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Question 41

#691

A shopkeeper marks a watch at 2,000 and offers a 20% discount. He then charges 10% GST on the discounted price. What is the final price the customer pays?

A

1,760

B

1,800

C

1,980

D

2,000

Correct answer keyA

Explanation

Here is the step-by-step solution:

  • Step 1: Calculate the discount amount.
    Discount = 2000×0.20=4002000 \times 0.20 = 400
  • Step 2: Calculate the discounted price.
    Discounted Price = 2000400=16002000 - 400 = 1600
  • Step 3: Calculate the GST amount on the discounted price.
    GST = 1600×0.10=1601600 \times 0.10 = 160
  • Step 4: Calculate the final price paid.
    Final Price = 1600+160=17601600 + 160 = 1760

The customer pays 1,760.

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Question 42

#692

A shopkeeper buys 50 pens at 12 each. He sells 30 of them at a profit of 20% and the remaining at a profit of 10%. What is his overall profit percentage?

A

14%

B

15%

C

16%

D

18%

Correct answer keyC

Explanation

Here is the step-by-step solution:

  • Step 1: Calculate total Cost Price (CP).
    Total CP = 50×12=60050 \times 12 = 600
  • Step 2: Calculate the Selling Price (SP) of the first 30 pens.
    CP of 30 pens = 30×12=36030 \times 12 = 360
    SP of 30 pens (20% profit) = 360×1.20=432360 \times 1.20 = 432
  • Step 3: Calculate the Selling Price (SP) of the remaining 20 pens.
    CP of 20 pens = 20×12=24020 \times 12 = 240
    SP of 20 pens (10% profit) = 240×1.10=264240 \times 1.10 = 264
  • Step 4: Calculate total Selling Price.
    Total SP = 432+264=696432 + 264 = 696
  • Step 5: Calculate overall profit percentage.
    Profit = 696600=96696 - 600 = 96
    Profit Percentage = 96600×100=16%\frac{96}{600} \times 100 = 16\%

The overall profit is 16%.

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Question 43

#693

A man bought a laptop at a 10% discount on the marked price. He then sold it for 54,000, making a 20% profit on the price he paid. What was the marked price of the laptop?

A

56,000

B

50,000

C

62,500

D

65,000

Correct answer keyB

Explanation

Here is the step-by-step solution:

  • Step 1: Define the Selling Price (SP) and find the Cost Price (CP) for the man.
    He sold it for 54,00054,000 at a 20%20\% profit on his CP.
    Let his CP be CC.
    C×1.20=54000C \times 1.20 = 54000
    C=540001.20=45000C = \frac{54000}{1.20} = 45000
  • Step 2: Relate the CP to the Marked Price (MP).
    He bought it at a 10%10\% discount on the MP.
    MP×(10.10)=CPMP \times (1 - 0.10) = CP
    MP×0.90=45000MP \times 0.90 = 45000
  • Step 3: Solve for Marked Price.
    MP=450000.90=50000MP = \frac{45000}{0.90} = 50000

The marked price was 50,000.

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Question 44

#694

A person invests ₹15,000 at a simple interest rate of 8% per annum for a certain number of years. If the total amount received at the end is 21,000, for how many years was the money invested?

A

4 years

B

5 years

C

6 years

D

7 years

Correct answer keyB

Explanation

Here is the step-by-step solution:

  • Step 1: Identify given values.
    Principal (PP) = 1500015000
    Amount (AA) = 2100021000
    Rate (RR) = 8%8\%
  • Step 2: Calculate Simple Interest (SISI).
    SI=AP=2100015000=6000SI = A - P = 21000 - 15000 = 6000
  • Step 3: Use the Simple Interest formula to find Time (TT).
    SI=P×R×T100SI = \frac{P \times R \times T}{100}
    6000=15000×8×T1006000 = \frac{15000 \times 8 \times T}{100}
    6000=1200×T6000 = 1200 \times T
    T=60001200=5T = \frac{6000}{1200} = 5

The money was invested for 5 years.

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Question 45

#695

A sum of 20,000 is lent in two parts. One part is lent at 6% simple interest per annum and theother at 10% per annum. The total annual interest from both parts is 1,600. How much was lent at 10%?

A

₹4,000

B

₹6,000

C

₹8,000

D

₹10,000

Correct answer keyD

Explanation

Here is the step-by-step solution:

  • Step 1: Set up variables.
    Let the amount lent at 10%10\% be xx.
    Then the amount lent at 6%6\% is (20000x)(20000 - x).
  • Step 2: Form an equation using the total interest.
    Interest from 10%10\% part + Interest from 6%6\% part = Total Interest
    x×10×1100+(20000x)×6×1100=1600\frac{x \times 10 \times 1}{100} + \frac{(20000 - x) \times 6 \times 1}{100} = 1600
  • Step 3: Solve the equation.
    0.10x+0.06(20000x)=16000.10x + 0.06(20000 - x) = 1600
    0.10x+12000.06x=16000.10x + 1200 - 0.06x = 1600
    0.04x=4000.04x = 400
    x=4000.04=10000x = \frac{400}{0.04} = 10000

The amount lent at 10% was ₹10,000.

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Question 46

#696

The average weight of 8 men is 70 kg. If one man leaves and another weighing 80 kg joins, the average weight increases by 1 kg. What was the weight of the man who left?

A

60 kg

B

65 kg

C

70 kg

D

72 kg

Correct answer keyD

Explanation

Here is the step-by-step solution:

  • Step 1: Calculate the initial total weight.
    Initial Total Weight = 8×70=5608 \times 70 = 560 kg
  • Step 2: Determine the new average and new total weight.
    New average weight = 70+1=7170 + 1 = 71 kg
    New Total Weight = 8×71=5688 \times 71 = 568 kg
  • Step 3: Set up an equation with the man who left (xx).
    560x+80=568560 - x + 80 = 568
    640x=568640 - x = 568
    x=640568=72x = 640 - 568 = 72 kg

The weight of the man who left was 72 kg.

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Question 47

#697

A can complete a piece of work in 12 days, while B can complete it in 18 days. They work together for 4 days, after which A leaves and B finishes the remaining work alone. How many total days will it take to finish the work?

A

8 days

B

9 days

C

12 days

D

14 days

Correct answer keyC

Explanation

Here is the step-by-step solution:

  • Step 1: Find total work (LCM of days).
    LCM of 1212 and 1818 is 3636. Let total work be 3636 units.
  • Step 2: Calculate daily efficiency.
    A's efficiency = 3612=3\frac{36}{12} = 3 units/day
    B's efficiency = 3618=2\frac{36}{18} = 2 units/day
    Combined efficiency = 3+2=53 + 2 = 5 units/day
  • Step 3: Calculate work done together.
    Work done in 44 days = 5×4=205 \times 4 = 20 units
  • Step 4: Calculate remaining work.
    Remaining work = 3620=1636 - 20 = 16 units
  • Step 5: Calculate time B takes to finish remaining work alone.
    Days for B = 162=8\frac{16}{2} = 8 days
  • Step 6: Calculate total time.
    Total days = 44 (together) + 88 (B alone) = 1212 days.
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Question 48

#698

A train travels at a speed of 60 km/h and covers a certain distance in 4 hours. If the speed is increased by 20 km/h how much time will it take to cover the same distance?

A

3 hours

B

3.5 hours

C

4 hours

D

4.5 hours

Correct answer keyA

Explanation

Here is the step-by-step solution:

  • Step 1: Calculate the total distance.
    Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}
    Distance=60 km/h×4 hours=240 km\text{Distance} = 60 \text{ km/h} \times 4 \text{ hours} = 240 \text{ km}
  • Step 2: Determine the new speed.
    New speed = 60+20=80 km/h60 + 20 = 80 \text{ km/h}
  • Step 3: Calculate the new time required.
    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}
    Time=24080=3 hours\text{Time} = \frac{240}{80} = 3 \text{ hours}

It will take 3 hours.

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Question 49

#699

A contractor hires 18 workers to complete a job in 24 days, working 6 hours per day. After 8 days of work, 6 workers leave and the remaining workers increase their working hours to 8 hours per day. in how many total days (including the initial 8 days) will the job be finished?

A

24 days

B

25 days

C

26 days

D

28 days

Correct answer keyC

Explanation

Here is the step-by-step solution:

  • Step 1: Calculate total work in terms of man-hours.
    Total Work=18 workers×24 days×6 hours/day=2592 man-hours\text{Total Work} = 18 \text{ workers} \times 24 \text{ days} \times 6 \text{ hours/day} = 2592 \text{ man-hours}
  • Step 2: Calculate work done in the first 8 days.
    Work Done=18 workers×8 days×6 hours/day=864 man-hours\text{Work Done} = 18 \text{ workers} \times 8 \text{ days} \times 6 \text{ hours/day} = 864 \text{ man-hours}
  • Step 3: Calculate remaining work.
    Remaining Work=2592864=1728 man-hours\text{Remaining Work} = 2592 - 864 = 1728 \text{ man-hours}
  • Step 4: Determine new working conditions.
    Remaining workers = 186=12 workers18 - 6 = 12 \text{ workers}
    New hours per day = 8 hours8 \text{ hours}
  • Step 5: Calculate days required to finish remaining work.
    Days=Remaining WorkWorkers×Hours/day=172812×8=172896=18 days\text{Days} = \frac{\text{Remaining Work}}{\text{Workers} \times \text{Hours/day}} = \frac{1728}{12 \times 8} = \frac{1728}{96} = 18 \text{ days}
  • Step 6: Calculate total days to finish the job.
    Total Days=8 (initial)+18 (remaining)=26 days\text{Total Days} = 8 \text{ (initial)} + 18 \text{ (remaining)} = 26 \text{ days}
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Question 50

#700

If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?

A

36

B

48

C

40

D

41

Correct answer keyD

Explanation

Here is the step-by-step solution:

  • Step 1: Determine Raj's age 5 years ago.
    Raj's current age = 1717
    Raj's age 5 years back = 175=1217 - 5 = 12
  • Step 2: Determine Rahim's age 5 years ago using the given ratio.
    Raj was 13\frac{1}{3} of Rahim's age 5 years back.
    12=13×Rahim’s age 5 years back12 = \frac{1}{3} \times \text{Rahim's age 5 years back}
    Rahim’s age 5 years back=12×3=36\text{Rahim's age 5 years back} = 12 \times 3 = 36
  • Step 3: Determine Rahim's current age.
    Rahim's current age = 36+5=4136 + 5 = 41

Rahim is 41 years old now.