Previous Year Question Paper

GDS To MTS Question Paper 2025 Himachal Pradesh Circle

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GDS To MTS Question Paper 2025 Himachal Pradesh Circle questions and answers

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Question 1

#1101

The weight of the letter shall not exceed ______ grams

A

250

B

500

C

2000

D

1000

Correct answer keyB
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Question 2

#1102

At the RMS Mail Office, the Superintendent notices that some staff members often leave lights on while leaving the office, resulting in unnecessary electricity usage. To prevent this, the Superintendent wants to issue an official instruction to ensure all staff switch off the lights at the time of leaving office. Which type of order can be issued to convey this instruction?

A

A-Order

B

B-Order

C

C-Order

D

TB-Order

Correct answer keyB

Explanation

B orders are issued by a Superintendent, RMS for the guidance of the subordinates in the performance of their duties in Mail Offices on all subjects except alterations in sorting lists. Therefore, an administrative instruction about switching off lights falls correctly under this category.

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Question 3

#1103

Which among the following is correct about reproducing stamps in a philatelic article or a section entirely about postage stamps?

A

They must be reproduced in black only.

B

They can be reproduced in full color with same size to match the original stamp.

C

They must be reproduced in red color only.

D

Reproducing an exact replica is not a punishable offence.

Correct answer keyA

Explanation

Reproduction of stamps is allowed for illustration purposes in a philatelic publication, but such productions must only be in black. This strict rule prevents potential forgery and misuse of reproduced stamps as actual postage.

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Question 4

#1104

Which type of mail item is NOT permitted to be posted in a letter box?

A

Letter

B

Postcard

C

Franked items

D

Letter card

Correct answer keyC

Explanation

Machine franked articles posted in letter boxes shall be treated as unpaid articles.

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Question 5

#1105

What happens to the bags if the Cage TB facility is not used?

A

Only the origin section handles them.

B

All intermediate sections handle them until they reach their destination station.

C

They are delivered directly to the final station without handling at intermediate sections.

D

They remain locked and unhandled.

Correct answer keyB

Explanation

The Cage TB facility is utilized to avoid unnecessary handling of bags by intermediate sections when a lot of bags are available for distant places. If this facility is not used, all intermediate sections would logically have to process and handle them until they reach their final destination.

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Question 6

#1106

Which of the following statements about "facing" is correct?

A

Facing is required only for international mail.

B

Facing is the process in which a postage stamp is stamped with a seal to prevent its reuse.

C

The term 'facing' refers to arranging mail items with the address-side facing upwards and the addresses oriented in the same direction.

D

Facing is the process in which Multi-Tasking Staff and Sorting Assistants sit opposite each other to assist during mail scanning.

Correct answer keyC

Explanation

In postal operations, the term 'facing' refers to arranging mail items with the address-side facing upwards and the addresses oriented in the same direction. This speeds up the subsequent processes of sorting and cancelling stamps.

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Question 7

#1107

Which of the following options contains an abbreviation and its full form that is incorrect?

A

UBO - Unit Bag Office

B

RLO - Returned Letter Office

C

RMS - Railway Mail Service

D

DBO - District Bag Organization

Correct answer keyD

Explanation

The incorrect pair is DBO as District Bag Organization. DBO stands for District Bag Office.

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Question 8

#1108

Which of the following areas fall under the jurisdiction of the West Bengal Circle?

A

State of Sikkim and UT of Andaman & Nicobar Islands

B

State of Sikkim and UT of Lakshadweep

C

State of Assam and UT of Andaman & Nicobar Islands

D

State of Sikkim and UT of Pondicherry

Correct answer keyA
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Question 9

#1109

Which of the following is correct in respect of unpaid or insufficiently paid mail items?

A

They are afforded greater security.

B

They are sent to a General Post Office for doing the needful.

C

They are delivered faster to recover postage quickly.

D

They are liable to be kept on hold for charging the postage due on them.

Correct answer keyD

Explanation

  • The Post Office endeavours to forward all fully prepaid postal articles by the earliest possible mail and deliver them as expeditiously as possible.

  • Unpaid articles or articles on which the postage is not fully prepaid are not given any greater security in transmission than other unregistered mail.

  • Such articles are liable to detention for the purpose of taxing the postage due. They are also not included in the special deliveries intended for unregistered mail, but are held over for the general deliveries for all classes of mail.

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Question 10

#1110

Where is a Head Record Office typically located?

A

At the Head Post Office level only.

B

At the headquarters of the RMS Division.

C

At the headquarters of the Postal Division.

D

At major railway junctions only.

Correct answer keyB

Explanation

  • It is a stationary office situated at the Headquarters of an RMS Division which, in addition to the ordinary duties of a Record Office, is entrusted with the preparation of salary and contingent bills for the entire Division and the accounts connected therewith. It is termed a Head Record Office.

  • The official in-charge of a Head Record Office is designated as the Head Record Officer.

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Question 11

#1111

Which of the following lines is/are correct in respect of mails to be delivered through Army Post Offices for the personnel of the Defense Services serving in the Army and Air Force?

  1. The address should include the Number, Rank, Name, and Unit of the personnel.
  2. Such mails should be addressed to 56 A.P.O., 99 A.P.O., etc., without adding any post town.
  3. It is mandatory to include the city and state in the address along with A.P.O. number.
  4. Mails should only include the recipient's name and A.P.O. number for faster delivery.
A

Only 1 and 2

B

Only 1 and 3

C

1, 2, and 4

D

Only 2

Correct answer keyA

Explanation

For defense personnel, the address must strictly include the Number, Rank, Name, and Unit of the personnel. Furthermore, such mails should be addressed to 56 A.P.O. or 99 A.P.O. directly, without adding any post town, city, or state.

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Question 12

#1112

Who directly controls the working of all Post Offices under a Postal Division?

A

Senior Superintendents or Superintendents (Post Offices)

B

Postmaster General (Finance)

C

Director (Vigilance)

D

Director (DE Section)

Correct answer keyA

Explanation

The daily administration and working of all Post Offices falling under a specific Postal Division are directly controlled by the Senior Superintendents or Superintendents of Post Offices.

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Question 13

#1113

A Class 11 student wants to send a parcel containing textbooks to a friend. As a prank, he writes on the parcel cover: "Bomb inside - Handle with care!" When questioned at the post office during booking, the student admits it was a joke and confirms that the parcel contains only books. In light of the Department of Posts' policy on prohibited articles, what action should be taken?

A

Accept the parcel since the parcel contains books only which are non-threatening and the sender confessed it was a prank.

B

Accept the parcel after recording a video confession from the sender.

C

Inform the sender that it is prohibited to send parcels bearing offensive or threatening words, and reject the parcel.

D

Accept the parcel but collect the sender's mobile number for future issues if any.

Correct answer keyC
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Question 14

#1114

Which of the following services of India Post has been discontinued?

A

Postcard

B

Letter Cards

C

Direct Post

D

Bill Mail Service

Correct answer keyD
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Question 15

#1115

In RMS terminology, what is an "In-trip"?

A

A journey from an out-station back to the headquarters of the set.

B

A journey from the headquarters of the set towards an out-station.

C

A journey within Postal Division.

D

A trip from headquarters to an out-station only for Inland Special Parcel.

Correct answer keyA

Explanation

  • A journey performed by a set of a section while travelling on duty from one end of its beat to the other is called a Trip.

  • The trip from the Headquarters of the set towards its out-station is called the Out-trip, while the trip towards its Headquarters is called the In-trip.

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Question 16

#1116

How should postage stamps be affixed to a letter?

A

Stuck to any part of the item or its contents.

B

Affixed to a separate label tied to the item.

C

Completely adherent to the item itself, in the right-hand top corner of the address side.

D

Placed anywhere on the front of the letter.

Correct answer keyC
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Question 17

#1117

Which of the following statements about mail items bearing the superscription "On India Government Service" is FALSE?

A

It is official government correspondence.

B

Generally, delivery is based on the name of office or designation.

C

It can be redirected.

D

It cannot be returned to sender in any circumstances.

Correct answer keyD

Explanation

The statement that "It cannot be returned to sender in any circumstances" is FALSE. Official government correspondence (OIGS) can certainly be returned if undeliverable, subject to standard postal regulations for return to sender.

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Question 18

#1118

Letter card shall be made of paper of minimum ______ grams per Square Meter.

A

60

B

90

C

70

D

50

Correct answer keyC
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Question 19

#1119

Which of the following best describes the Malhotra Committee's key finding in 1993?

A

Life insurance penetration in rural India was above 55%.

B

Life insurance funds were the main form of household savings.

C

Only 22% of the insurable population in this country has been insured.

D

Postal insurance was already available in rural areas.

Correct answer keyC

Explanation

  • Rural Postal Life Insurance (RPLI) was introduced on 24.03.1995 for the rural population of India.

  • The Malhotra Committee observed in 1993 that only 22% of the insurable population in India was insured, while life insurance funds accounted for only 10% of gross household savings.

  • The Government accepted the recommendations of the Malhotra Committee and allowed Postal Life Insurance (PLI) to extend its coverage to rural areas, mainly because of the vast network of Post Offices in rural areas and the low cost of operations.

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Question 20

#1120

How many sets can a Transit Mail Office (TMO) function in?

A

Any number of sets based on requirement.

B

Always two one during the day and one at night.

C

Alternate night sets only.

D

Only one night set.

Correct answer keyA

Explanation

A Transit Mail Office (TMO) is responsible for receiving and dispatching closed bags without sorting individual letters. It can function in any number of sets depending upon requirements.

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Question 21

#1121

When a mail item addressed to a post box number cannot be placed inside the post box due to its large size or insufficient space in the box, what is the first action the Postmaster should take?

A

Place an intimation slip in the post box regarding the mail item.

B

Attempt to force the item into the post box.

C

Return the item to the sender.

D

Deliver the item directly to the recipient's address.

Correct answer keyA
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Question 22

#1122

Which of the following is a correct feature of a National Savings Recurring Deposit Scheme in Post Office?

A

RD account can be opened online with any amount and there are no prerequisites.

B

RD account can be opened online only if the applicant has a Post Office Savings Account.

C

RD account can be opened online only if the applicant is a minor above 10 years.

D

RD account can be opened online without a Post Office Savings Account but requires minimum balance of 1000.

Correct answer keyB
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Question 23

#1123

The Department of Posts recently signed a Non-Disclosure Agreement (NDA) to facilitate inward international remittance with which organization?

A

Reserve Bank of India (RBI)

B

Western Union Financial Services

C

NPCI International Payments Limited (NIPL)

D

World Bank

Correct answer keyC

Explanation

The Department of Posts recently signed a strategic Non-Disclosure Agreement (NDA) with NPCI International Payments Limited (NIPL) to explore and facilitate faster and digital inward international remittance services.

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Question 24

#1124

A Book Post shall not contain "Paper Money." Which of the following is NOT classified as "Paper Money"?

A

Cheque

B

Bank post bill

C

Share certificate

D

Hundi

Correct answer keyC

Explanation

A Book Post shall not contain “paper money”, which, for the purposes of the Post Office Regulations, 2024, includes:

  • Unobliterated postage or other stamps
  • Hundies
  • Cheques
  • Bank post bills
  • Bills of exchange
  • All orders or authorities for the payment of money
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Question 25

#1125

From the options given below, choose the most appropriate sequence for writing the receiver's address on a domestic mail item, consistent with the related rule for Method of Address.

A

Name of addressee -> Name of locality or Mohalla -> Number and/or name of the House, and name of the street or Road -> Name of the Post Town/Post Office -> Name of the District and State

B

Name of addressee -> Number and/or name of the House, and name of the street or Road -> Name of the locality or Mohalla -> Name of the Post Town/Post Office -> Name of the District and State

C

Number and/or name of the House, and name of the street or Road -> Name of addressee -> Name of the District and State -> Name of the Post Town/Post Office

D

Name of addressee -> Name of the Post Town/Post Office -> Name of the District and State -> Number and/or name of the House, and name of the street or Road -> Name of the locality or Mohalla

Correct answer keyB

Explanation

The standard sequence ensures smooth sorting. It progresses from most specific to general: Name of addressee \rightarrow Number/Name of House and Street \rightarrow Locality/Mohalla \rightarrow Post Town/Post Office \rightarrow District and State.

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Question 26

#1126

Branch Post Offices generally provide facility/facilities for:

A

Delivery of mails only.

B

Booking of mail items only.

C

Post Office Savings Bank transactions only.

D

All of these facilities which are mentioned in other options.

Correct answer keyD
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Question 27

#1127

Which sentence(s) is/are correct in respect of extension of National Savings (Monthly Income Account) Scheme?

  1. MIS Account can be extended only once within 18 months of maturity.
  2. MIS Account is required to be opted for extension within six months of maturity.
  3. MIS Account can be extended twice only.
  4. MIS Account can be extended once within a period of 12 months from maturity.
A

Only sentence 1 is correct

B

Sentences 2 and 3 are correct

C

Only sentence 4 is correct

D

None of the sentences mentioned in other options are correct.

Correct answer keyD

Explanation

The rules state clearly that no extension is admissible in an MIS account.

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Question 28

#1128

In the National Savings Time Deposit Scheme, the account can be continued after the death of the main account holder(s) only if there are not more than three surviving adult nominees or legal heirs. Why is this restriction applied?

  1. To simplify administration and avoid disputes.
  2. Because a joint account can be held by a maximum of three adults only.
  3. To ensure interest is calculated correctly.
  4. To prevent disputes among the parties involved.
A

Only 1 is correct

B

Only 2 is correct

C

1 and 3 are correct

D

1, 3, and 4 are correct

Correct answer keyB
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Question 29

#1129

What is the main condition for packaging liquids or substances that liquefy easily for dispatch?

A

They must be packed in a double receptacle with absorbent material between.

B

They must be packed in a single airtight container.

C

They must be shipped in refrigerated containers only.

D

They must be placed in a strong outer box without absorbent material.

Correct answer keyA

Explanation

To prevent damage to other postal items in case of a leak, liquids or substances that liquefy easily must be packed in a double receptacle with sufficient absorbent material placed between the inner and outer containers to soak up any potential spills.

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Question 30

#1130

In which section of the Post Office Guide, Part I, are the details of prohibited articles provided?

A

Section I (Section 1)

B

Section II (Section 2)

C

Section III (Section 3)

D

Section IV (Section 4)

Correct answer keyD
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Question 31

#1131

Which Constitutional Amendment introduced Fundamental Duties into the Constitution of India?

A

97th Amendment

B

44th Amendment

C

42nd Amendment

D

61st Amendment

Correct answer keyC

Explanation

The 42nd Amendment Act of 1976 officially added the Fundamental Duties to the Constitution of India under a newly created Article 51A. This amendment, historically referred to as the "Mini-Constitution", was enacted during the Emergency period based on the strong recommendations of the Swaran Singh Committee to instil a sense of obligation among citizens.

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Question 32

#1132

The Special Olympics Bharat football team won the Gothia Special Olympics Trophy 2025. Which country did they defeat in the final match?

A

Denmark

B

Morocco

C

Turkey

D

Poland

Correct answer keyD

Explanation

The Special Olympics Bharat (SO Bharat) football team secured a spectacular victory at the Gothia Special Olympics Trophy 2025 held in Gothenburg, Sweden. In the highly competitive final match, the Indian team defeated Poland with a decisive score of 3–1 to lift the trophy. This victory was a major milestone as it marked India's second consecutive title at the prestigious tournament, following their maiden championship win in 2024.

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Question 33

#1133

Which C-class state merged with Himachal Pradesh in 1954?

A

Bilaspur

B

Kangra

C

Kinnaur

D

Chamba

Correct answer keyA

Explanation

The Part-C state of Bilaspur formally merged with the state of Himachal Pradesh in July 1954. Following its administrative integration, Bilaspur transitioned into a district within Himachal Pradesh, significantly contributing to the region's cultural assimilation and territorial consolidation during the post-independence reorganization of Indian states.

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Question 34

#1134

What is "Togalu Gombeyata"?

A

A martial art form of Kerala.

B

A musical instrument from Tamil Nadu.

C

A traditional painting style of Odisha.

D

A shadow puppetry style of Karnataka.

Correct answer keyD

Explanation

  • Togalu Gombeyata, translating literally to "a play of leather dolls", is a highly revered traditional shadow puppetry style indigenous to Karnataka.
  • This ancient and intricate art form utilizes uniquely carved translucent leather puppets to vividly depict epic narrative stories, primarily drawn from the Ramayana and Mahabharata, serving dual purposes of communal entertainment and moral education.
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Question 35

#1135

What is Majuli, located in the Brahmaputra River, known as?

A

The largest desert island in the world.

B

The largest inhabited riverine island in the world.

C

The smallest river island in Asia.

D

The largest uninhabited island in India.

Correct answer keyB

Explanation

  • Majuli holds the prestigious geographical distinction of being globally recognized as the largest inhabited riverine island in the world.
  • Nestled in the mighty Brahmaputra River in Assam, it acts as the spiritual epicentre of Assamese Neo-Vaishnavite culture and vibrant biodiversity, although it tragically faces persistent existential threats from ongoing soil erosion.
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Question 36

#1136

Lakshadweep is administered by which Postal Circle?

A

Tamil Nadu Postal Circle

B

Andhra Pradesh Postal Circle

C

Kerala Postal Circle

D

Karnataka Postal Circle

Correct answer keyC
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Question 37

#1137

Which state in India was the first to legally mandate rooftop rainwater harvesting structures in all houses?

A

Kerala

B

Maharashtra

C

Tamil Nadu

D

Gujarat

Correct answer keyC

Explanation

  • Tamil Nadu proudly stands as the pioneering state in India to legally and compulsorily mandate rooftop rainwater harvesting structures across all buildings.
  • Implemented comprehensively in 2001, this visionary and aggressive policy served as a crucial environmental step in combatting severe groundwater depletion and ensuring sustainable water resource management for future generations.
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Question 38

#1138

A Postman neglects delivery of unaccountable items because he wants to reach home early. What is the most ethical action for the Postman?

A

Continue delivering only accountable items and ignore the rest.

B

Request for leave through proper official channels.

C

Deliver unaccountable items only if time permits.

D

Hand over unaccountable items to another Postman without informing the supervisor.

Correct answer keyB

Explanation

  • Every postal employee is strictly bound by a professional code of conduct prioritizing public service.
  • If a postman faces an urgent personal need to leave early, the most ethical, transparent, and administrative action is to request for leave through proper official channels, rather than committing a dereliction of duty by dumping or neglecting mail.
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Question 39

#1139

Captain Ram Singh, who was the music director of the Indian National Army (INA) orchestra, composed the music for which of the following songs?

A

Jai Hind Ki Sena

B

Kadam Kadam Badhaye Ja

C

Kasam Hamari Tum Bhool Na Jaana

D

Chalo Dilli

Correct answer keyB

Explanation

  • Captain Ram Singh Thakur, an exceptionally talented Gorkha freedom fighter and the lead music director of the INA orchestra, passionately composed the stirring music for "Kadam Kadam Badhaye Ja".
  • This iconic marching song served as the regimental quickstep of Subhas Chandra Bose's Indian National Army, playing an instrumental role in immensely boosting the morale of INA soldiers.
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Question 40

#1140

Which article of the Indian Constitution provides for an independent Election Commission to ensure free and fair elections?

A

Article 356

B

Article 370

C

Article 320

D

Article 324

Correct answer keyD

Explanation

  • Article 324 of the Indian Constitution explicitly vests the supreme power of superintendence, direction, and rigorous control of all national and state elections into an independent Election Commission.
  • This vital constitutional safeguard rigorously guarantees the conduct of free, fair, and unbiased elections, functioning as the ultimate bedrock of India's democratic framework.
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Question 41

#1141

Find the value of 1080÷{10[(126)+(2412)]}1080\div\{10[(12-6)+(24-12)]\}.

A

6

B

10

C

15

D

20

Correct answer keyA

Explanation

Let us logically apply the BODMAS rule to solve the mathematical expression step-by-step:

  • Step 1: Solve the operations within the innermost parentheses first.
    126=612 - 6 = 6 and 2412=1224 - 12 = 12
  • Step 2: Substitute these resolved values back into the square brackets and evaluate.
    [6+12]=18[6 + 12] = 18
  • Step 3: Now, evaluate the operations inside the curly braces.
    {10×18}=180\{10 \times 18\} = 180
  • Step 4: Perform the final outer division operation.
    1080÷180=61080 \div 180 = 6

Through these systematic steps, the correct answer is definitively 6.

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Question 42

#1142

A horse walks the first 30 km at 10 km/h10~km/h, and then runs the next 30 km at 30 km/h30~km/h. What is the average speed for the entire 60 km journey?

A

20 km/h20~km/h

B

15 km/h15~km/h

C

25 km/h25~km/h

D

18 km/h18~km/h

Correct answer keyB

Explanation

To accurately determine the average speed, we must use the fundamental formula: Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}.

  • Step 1: Calculate the precise time taken to traverse the first 30 km segment.
    T1=30 km10 km/h=3 hoursT_1 = \frac{30 \text{ km}}{10 \text{ km/h}} = 3 \text{ hours}
  • Step 2: Calculate the time taken to traverse the second 30 km segment.
    T2=30 km30 km/h=1 hourT_2 = \frac{30 \text{ km}}{30 \text{ km/h}} = 1 \text{ hour}
  • Step 3: Sum up the total distance and the total time consumed.
    Total Distance=30+30=60 km\text{Total Distance} = 30 + 30 = 60 \text{ km}
    Total Time=3+1=4 hours\text{Total Time} = 3 + 1 = 4 \text{ hours}
  • Step 4: Compute the overall average speed.
    Average Speed=604=15 km/h\text{Average Speed} = \frac{60}{4} = 15 \text{ km/h}

The horse's correctly calculated average speed over the full journey is 15 km/h.

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Question 43

#1143

The cost of 4 kg of sugar is 200. How much would 30 kg of sugar cost?

A

1500

B

1300

C

1200

D

1600

Correct answer keyA

Explanation

We will effectively utilize the unitary method to ascertain the final cost.

  • Step 1: Find the exact base cost of a single kilogram (1 kg) of sugar.
    Cost of 4 kg = ₹200
    Cost of 1 kg = 2004=50\frac{200}{4} = 50
  • Step 2: Scale up the base cost to calculate the total cost for 30 kg of sugar.
    Cost of 30 kg = 30×50=150030 \times 50 = 1500

Consequently, the total required cost is ₹1500.

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Question 44

#1144

Find the value of 5×(2×34)÷6+785\times(2\times3^4)\div6+7-8.

A

134

B

130

C

140

D

128

Correct answer keyA

Explanation

Let us systematically simplify the given mathematical expression utilizing the BODMAS/PEMDAS hierarchical principles:
Expression: 5×(2×34)÷6+785 \times (2 \times 3^4) \div 6 + 7 - 8

  • Step 1: Evaluate the exponent located deeply inside the parentheses.
    34=3×3×3×3=813^4 = 3 \times 3 \times 3 \times 3 = 81
  • Step 2: Complete the multiplication inside the parentheses.
    2×81=1622 \times 81 = 162
  • Step 3: Substitute the result back and perform multiplication and division logically from left to right.
    5×162÷6+785 \times 162 \div 6 + 7 - 8
    810÷6=135810 \div 6 = 135
  • Step 4: Execute the final addition and subtraction operations.
    135+78=1428=134135 + 7 - 8 = 142 - 8 = 134

The final evaluated value is undeniably 134.

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Question 45

#1145

The average number of accounts opened by 50 branch post offices, including Chatara and Dangoli Branch Post Offices, of the Una Postal Division was reported as 20. Later, it was discovered that these two branch post offices i.e. Chatara and Dangoli, which were earlier reported to have opened 40 and 48 accounts respectively, actually did not open any accounts. Find the average number of accounts opened by the remaining 48 branch post offices.

A

18.24

B

19

C

20

D

17

Correct answer keyB

Explanation

Let's recalculate the true total to accurately calculate the correct average for the remaining branches.

  • Step 1: Calculate the initially reported and flawed total number of accounts.
    Total=50×20=1000\text{Total} = 50 \times 20 = 1000 accounts.
  • Step 2: Identify the exact sum of the wrongly reported accounts.
    Chatara and Dangoli falsely reported 40+48=8840 + 48 = 88 accounts in total.
  • Step 3: Subtract the false reports to isolate the actual, valid total of accounts opened.
    Actual Total=100088=912\text{Actual Total} = 1000 - 88 = 912 accounts.
  • Step 4: Calculate the true new average strictly for the valid 48 branch offices.
    New Average=91248=19\text{New Average} = \frac{912}{48} = 19

The correct, adjusted average is exactly 19 accounts.

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Question 46

#1146

Aaliya and Zara have to travel from Shimla to Jammu in their respective cars. Aaliya drives at a speed of 50 km/h50~km/h and takes 9 hours to reach Jammu. Zara drives at 75 km/h75~km/h. How much time will Zara take to reach Jammu?

A

5 hours

B

8 hours

C

7 hours

D

6 hours

Correct answer keyD

Explanation

We need to dynamically use the core kinematics formula Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}.

  • Step 1: Accurately calculate the absolute total distance from Shimla to Jammu by leveraging Aaliya's recorded data.
    Distance=50 km/h×9 hours=450 km\text{Distance} = 50 \text{ km/h} \times 9 \text{ hours} = 450 \text{ km}
  • Step 2: With the distance verified, calculate the time naturally required by Zara to cover this exact same distance.
    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}
    Zara’s Time=450 km75 km/h=6 hours\text{Zara's Time} = \frac{450 \text{ km}}{75 \text{ km/h}} = 6 \text{ hours}

Zara will take exactly 6 hours to rapidly reach Jammu.

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Question 47

#1147

Raju can complete one task in 10 days and Somu can complete the same task in 15 days. If both of them work together, in how many days will the work be completed?

A

4 days

B

5 days

C

8 days

D

6 days

Correct answer keyD

Explanation

We will elegantly solve this collaboration problem using the standardized work-rate method.

  • Step 1: Determine the explicit 1-day work rate fractional capacity for each distinct person.
    Raju's 1-day work rate = 110\frac{1}{10}
    Somu's 1-day work rate = 115\frac{1}{15}
  • Step 2: Calculate their synergized and combined 1-day cooperative work rate.
    Combined rate=110+115=330+230=530=16\text{Combined rate} = \frac{1}{10} + \frac{1}{15} = \frac{3}{30} + \frac{2}{30} = \frac{5}{30} = \frac{1}{6}
  • Step 3: Invert the combined daily rate to determine the absolute total days logically required to complete the holistic work.
    Since they successfully complete 16\frac{1}{6} of the work in one unified day, working seamlessly together they will completely finish the task in 6 days.
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Question 48

#1148

A vendor sells 50 pens for 300, and another vendor sells 60 pencils for 300. The first vendor bought each pen at 5, while the second vendor bought each pencil at 4. Who made a higher percentage profit per item?

A

The pen vendor

B

The pencil vendor

C

Both made the same percentage profit per item

D

The given data is insufficient to determine the profit percentage per item.

Correct answer keyB

Explanation

Let us meticulously calculate the relative percentage profit per item natively for both independent vendors utilizing the formula: Profit %=(SPCPCP)×100\text{Profit } \% = (\frac{\text{SP} - \text{CP}}{\text{CP}}) \times 100.

  • Step 1: Quantify and comprehensively analyze the Pen Vendor's margins.
    Selling Price (SP) of 1 pen = 30050=6\frac{300}{50} = ₹6
    Cost Price (CP) of 1 pen = ₹5
    Profit % = (655)×100=(15)×100=20%(\frac{6 - 5}{5}) \times 100 = (\frac{1}{5}) \times 100 = 20\%
  • Step 2: Quantify and comprehensively analyze the Pencil Vendor's margins.
    Selling Price (SP) of 1 pencil = 30060=5\frac{300}{60} = ₹5
    Cost Price (CP) of 1 pencil = ₹4
    Profit % = (544)×100=(14)×100=25%(\frac{5 - 4}{4}) \times 100 = (\frac{1}{4}) \times 100 = 25\%

Comparing the two, The pencil vendor undeniably made a vastly higher relative percentage profit per item (25%>20%25\% > 20\%).

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Question 49

#1149

At Arsu Sub Post Office, three postmen handled mail delivery on 01.09.2025 as follows:

  1. Beat 1: Received 30 articles, Delivered 27
  2. Beat 2: Received 20 articles, Delivered 18
  3. Beat 3: Received 50 articles, Delivered 45

What is the overall delivery percentage for the post office on that day?

A

85%

B

88%

C

90%

D

92%

Correct answer keyC

Explanation

To correctly deduce the overall delivery percentage, we fundamentally need to compute the aggregate number of total articles received versus the aggregate successfully delivered.

  • Step 1: Sum the absolute total metric of articles received across all distinct beats.
    Total Received=30+20+50=100\text{Total Received} = 30 + 20 + 50 = 100
  • Step 2: Sum the absolute total metric of articles delivered across all distinct beats.
    Total Delivered=27+18+45=90\text{Total Delivered} = 27 + 18 + 45 = 90
  • Step 3: Calculate the definitive final delivery percentage.
    Delivery %=(90100)×100=90%\text{Delivery } \% = (\frac{90}{100}) \times 100 = 90\%

The post office's successfully measured overall delivery percentage inherently stands at exactly 90%.

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Question 50

#1150

A sum of 26,000 becomes 35,100 in 60 months at simple interest. What is the rate of simple interest per annum?

A

5%

B

6%

C

8%

D

7%

Correct answer keyD

Explanation

We will actively utilize the standard Simple Interest derivation formula: I=P×R×T100I = \frac{P \times R \times T}{100}.

  • Step 1: Clearly identify and standardize the given temporal and fiscal values.
    Principal (PP) = ₹26,000
    Amount (AA) = ₹35,100
    Time (TT) = 60 months = 6012\frac{60}{12} years = 5 years
  • Step 2: Calculate the absolute simple interest physically earned over this duration.
    I=AP=35,10026,000=9,100I = A - P = 35,100 - 26,000 = ₹9,100
  • Step 3: Setup the equation and effectively isolate and solve for the foundational Rate (RR).
    9100=26000×R×51009100 = \frac{26000 \times R \times 5}{100}
    9100=1300×R9100 = 1300 \times R
    R=91001300=7R = \frac{9100}{1300} = 7

The confirmed rate of simple interest fundamentally applied per annum is exactly 7%.