Previous Year Question Paper

GDS To MTS Question Paper 2025 Uttarakhand Circle

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GDS To MTS Question Paper 2025 Uttarakhand Circle questions and answers

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Question 1

#551

Every letter, packet or parcel has to be stamped with the date stamps of at least ___ post office(s).

A

two

B

three

C

four

D

one

Correct answer keyA

Explanation

Every letter, packet, or parcel must be stamped with the date stamps of at least two post offices, typically the booking post office and the delivery post office.

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Question 2

#552

What are the modes of payment of the postage or other sums chargeable for mail services?

A

Cash

B

Digital

C

Postage stamps

D

All of the above

Correct answer keyD

Explanation

Modes of payment of postage or other charges are: Cash; payment through digital mode; by postage stamps; and by means of impressions of franking machines.

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Question 3

#553

What rate of the postage is chargeable on the delivery of unpaid official postal articles?

A

Pre-paid rate

B

Double the prepaid rate

C

Free

D

None of the above

Correct answer keyA

Explanation

Unlike ordinary unpaid articles which are charged double the deficiency, unpaid official postal articles are charged only the pre-paid rate upon delivery.

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Question 4

#554

Which of the following are prohibited for transmission by the Inland post?

A

which is sent in contravention of any enactment for the time being in force

B

Any indecent or obscene article

C

Ticket, proposal or advertisement relating to a lottery

D

All of the above

Correct answer keyD
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Question 5

#555

Consider the following statements: Which of the above statements are correct?

  1. Articles likely to suffer any damage from stamping pressure should be packed in strong covers.
  2. Post Offices take special precautions to ensure the safety of fragile articles during transit.
  3. Articles must be closed in a way that avoids sharp edges to prevent injury or operational issues.
A

Only 1 and 2 are correct

B

Only 1 and 3 are correct

C

Only 2 and 3 are correct

D

All three are correct

Correct answer keyB

Explanation

The Post Office cannot take any special precautions to secure the safety of fragile articles.

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Question 6

#556

Which of the following India Post services enables instant domestic money transfer without having a bank account?

A

IMPS

B

Money Order

C

UPI Payments

D

NEFT

Correct answer keyB

Explanation

The Money Order service provided by India Post allows individuals to securely remit domestic money instantly across the country without requiring a bank account.

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Question 7

#557

Consider the following statements about Rural Postal Life Insurance (RPLI): Which of the above statements are correct?

  1. It is available to all residents of rural areas.
  2. It offers both individual and group insurance policies.
  3. The premium can be paid through India Post Payments Bank.
A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

All of the above

Correct answer keyC
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Question 8

#558

The investment under ...... TD qualifies for the benefit of section 80C of Income Tax Act, 1961.

A

5 years

B

2 years

C

1 year

D

3 years

Correct answer keyA

Explanation

The 5-year Time Deposit (TD) in the Post Office qualifies for tax deduction benefits under section 80C of the Income Tax Act, 1961.

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Question 9

#559

Branch Post Offices in charge of GDS BPM are kept open for a maximum period of ...... hours only.

A

5

B

3

C

8

D

4

Correct answer keyA

Explanation

Branch Post Offices managed by a Gramin Dak Sevak Branch Postmaster (GDS BPM) are kept open for a maximum period of 5 hours a day.

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Question 10

#560

Consider the following statements: Which of the above statements is/are correct?

  1. Letters, postcards, inland letter cards, and packets can be posted in letter boxes, if postage and late fee are prepaid.
  2. Machine franked articles can be posted in the letter boxes.
  3. Letter boxes are installed in public places.
A

Only 1 and 3 are correct

B

Only 1 and 2 are correct

C

Only 2 and 3 are correct

D

All are correct

Correct answer keyA

Explanation

Letters, postcards, Inland Letter Cards, and packets may be posted in the letter boxes at Post Offices/Mail Offices, letter boxes installed in public places, Mobile Post Offices, and steamers, provided the prescribed postage and late fee, wherever applicable, are fully prepaid.

Machine-franked articles should not be posted in letter boxes.

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Question 11

#561

The public are advised to use the.......... number of stamp while prepaying postage charges, by using stamps of ............ denominations.

A

minimum, appropriate higher

B

maximum, appropriate lower

C

minimum, appropriate lower

D

None of the above

Correct answer keyA

Explanation

This practice is recommended because affixing a large number of low-value stamps takes up unnecessary space on the postal articles, leaving less room for the address and other important postal indications.

Furthermore, using too many stamps increases the workload for the Post Office staff and leads to an unnecessary waste of valuable stamp paper and printing charges.

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Question 12

#562

In the event of renter of a post box changing his business address or shifting his office to another place, he should invariably inform the Postmaster of the change within ......... days of such change.

A

15

B

7

C

10

D

30

Correct answer keyB

Explanation

A post box renter must inform the Postmaster within 7 days if they change their business address or shift their office to another location.

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Question 13

#563

Bulk customer is defined as anyone who provides Rs. 10,000/- worth of speed post business in one ......... at a speed post booking office.

A

Calendar month

B

Calendar year

C

Financial year

D

None of the above

Correct answer keyA

Explanation

A bulk customer for speed post is officially defined as a customer who generates at least Rs. 10,000/- worth of business in a single calendar month at a booking office.

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Question 14

#564

Which of the following PLI policy has no surrender facility?

A

Whole Life Assurance

B

Endowment Assurance

C

Joint Life Assurance

D

Children Policy

Correct answer keyD

Explanation

The Children Policy under Postal Life Insurance (PLI) does not offer a surrender facility.

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Question 15

#565

Consider the following statements: Which of the above statements are correct?

  1. Postal Life Insurance (PLI) is available only to employees of the Central and State governments.
  2. Rural Postal Life Insurance (RPLI) is aimed at providing insurance to people in rural areas.
  3. Both PLI and RPLI offer policies such as Endowment Assurance, Whole Life Assurance, and Convertible Whole Life Assurance.
A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

1, 2, and 3

Correct answer keyB

Explanation

Statements 2 and 3 are correct. Statement 1 is incorrect because PLI eligibility has been expanded beyond just government employees to include professionals, employees of listed public companies and graduates.

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Question 16

#566

Which of the following statements is true about loan facility in Post Office Recurring Deposit Account?

A

Loan amount will be limited to 50% of balance at credit

B

Account should have been operational for at least 12 months

C

Twelve monthly deposits should have been made in the account

D

All of above

Correct answer keyD

Explanation

All the statements are correct regarding the loan facility for a Post Office Recurring Deposit Account. The account must be active for at least 12 months, have 12 deposits made, and the loan limit is up to 50% of the credited balance.

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Question 17

#567

Which of the following statements is not correct about Post Office Savings Account?

A

only one account can be opened by an individual as a single account

B

account can be opened by minor who has attained the age of 10 years

C

There is no limit of maximum amount of deposit

D

An account opened as a single Account can subsequently be converted into Joint Account

Correct answer keyD

Explanation

A Post Office Savings Account opened as a single account cannot be converted into a joint account or vice-versa. Therefore, statement 'd' is not correct.

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Question 18

#568

What is the maximum limit of Insurance service for consignments in domestic Speed Post?

A

INR 500000/-

B

INR 200000/-

C

INR 50000/-

D

INR 20000/-

Correct answer keyA

Explanation

The maximum insurance limit for consignments sent via domestic Speed Post is INR 5,00,000/-.

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Question 19

#569

What is the maximum sum assured under children policy of RPLI?

A

1 lac or the sum assured of the parent policy, whichever is less

B

2 lac or the sum assured of the parent policy, whichever is less

C

5 lac

D

3 lac

Correct answer keyA

Explanation

Under the Children Policy of Rural Postal Life Insurance (RPLI), the maximum sum assured is limited to Rs. 1 lakh or the sum assured of the parent's policy, whichever is less.

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Question 20

#570

Consider the following statements about Army Postal Services (APS):

  1. The Base Circle of APS is headed by an Additional Director General in the rank of a Major General.
  2. All Army Postal Service staff are recruited exclusively by the Army.
  3. Officers of APS are taken on deputation from the Civil Posts. Which of the above statements is/are correct?
A

Only 1 is correct

B

Only 1 and 3 are correct

C

Only 2 and 3 are correct

D

All are correct

Correct answer keyB

Explanation

Statements 1 and 3 are correct. Statement 2 is incorrect because seventy five percent (75%) of the other ranks (i.e. other than officers) of the Army Postal Service are drawn from the Department of Posts and the remaining personnel are recruited by the Army.

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Question 21

#571

In an active EA-PLI policy (Santosh), in case of death of insurant, nominee or legal heir is paid full amount of sum assured with......... bonus.

A

double

B

accrued

C

lower rate

D

higher rate

Correct answer keyB

Explanation

For an active Endowment Assurance (Santosh) PLI policy, if the insurant dies, the nominee or legal heir receives the full sum assured along with the accrued bonus.

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Question 22

#572

In Post Office Savings account, Nomination is mandatory at the time of ......

A

Opening of account

B

Subsequent transaction

C

Conversion of account to Cheque account

D

Closure of account

Correct answer keyA

Explanation

Registering a nomination is mandatory at the time of opening a Post Office Savings account to ensure smooth transfer of funds to the nominee in case of the account holder's death.

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Question 23

#573

What does the term 'Beat' mean in RMS?

A

The delivery route of a postman.

B

Portion of a railway/steamer line over which an RMS section works.

C

Distance between headquarters and the railway station.

D

None of the above.

Correct answer keyB

Explanation

In the context of the Railway Mail Service (RMS), a 'Beat' refers to the specific portion of a railway or steamer line over which an RMS section operates.

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Question 24

#574

What is an Insured Bag intended for?

A

Sending foreign parcels.

B

Sending Insured letters.

C

Providing greater security to insured parcels.

D

Sending Postal Life Insurance documents.

Correct answer keyC

Explanation

An Insured Bag is specifically intended to provide greater security for insured parcels during transit.

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Question 25

#575

Facilities available with Post Office Savings Account are:

  1. Cheque book/ATM Card
  2. e-banking/mobile banking
  3. Aadhaar Seeding
  4. Atal Pension Yojana/ Pradhan Mantri Suraksha Bima Yojana/ Pradhan Mantri Jeevan Jyoti Bima Yojana
A

(1) only

B

(1) and (2)

C

(1), (2) and (3)

D

All (1), (2), (3) & (4)

Correct answer keyD
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Question 26

#576

Which of the following offices does not deal with any bags but only deals with the correspondence relating to procurement and distribution of bags?

A

District Bag Office

B

Circle Bag Office

C

Principal Bag Office

D

Central Bag Office

Correct answer keyD

Explanation

‘D’ Section of the Postal Directorate functions as the Central Bag Office. It does not deal with any bags physically but only handles correspondence relating to the procurement and distribution of bags.

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Question 27

#577

What is a Parcel Bag?

A

Bag containing ordinary registered parcels, V.P. parcels, insured bags, and parcel list.

B

Bag containing only unregistered parcels.

C

Bag containing only Speed Post parcels.

D

None of the above.

Correct answer keyA

Explanation

A parcel bag contains ordinary registered parcels, V.P. parcels, and insured parcels. It also contains a Parcel List in which all the registered articles of the parcel mail are entered in detail. Parcel bags are not due bags, and when dispatched, they are treated as unusual mails.

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Question 28

#578

What is a Nodal Post Office?

A

Head office controlling multiple sub-offices.

B

Post office authorized to receive/sort mail from nearby offices to reduce peak load.

C

Office handling nodal delivery.

D

None of the above.

Correct answer keyB

Explanation

In important cities and towns, some Post Offices are authorized to receive letters from neighboring Post Offices and sort the mail according to the sorting diagram prescribed by the RMS Superintendents. This arrangement helps reduce peak-hour pressure in the local sorting offices. Such offices are known as Nodal Post Offices.

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Question 29

#579

What is a Foreign Post Office?

A

Any office handling international mail.

B

RMS office handling export of parcels only.

C

Branch post office near border areas.

D

Office of exchange that also assesses customs duty on foreign mail.

Correct answer keyD

Explanation

A Foreign Post Office is a specific Office of Exchange that is authorized to intercept international mail and is equipped to assess customs duty on foreign postal articles.

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Question 30

#580

What is a Packet Bag?

A

Bag containing unregistered packets.

B

Bag used to return empty bags to Unit Bag Office/District Bag Office/Central Bag Office/Post Office.

C

Bag containing packets addressed to Postal Stores Depot.

D

None of the above.

Correct answer keyB
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Question 31

#581

Geographical area of Uttarakhand is 53,483 square kilometres, which is...... % of the total geographical area of India.

A

2.63

B

1.63

C

3.63

D

4.63

Correct answer keyB

Explanation

The total geographical area of India is approximately 3.28 million square kilometers.
534833287263×1001.63%\frac{53483}{3287263} \times 100 \approx 1.63\%
Thus, Uttarakhand covers about 1.63% of India's total area.

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Question 32

#582

What does Article 19 of the Indian Constitution guarantee?

A

Right to Property

B

Right to Freedom of Speech and Expression

C

Right to Religion

D

Right to Education

Correct answer keyB

Explanation

Article 19 of the Indian Constitution guarantees fundamental freedoms to citizens, most notably the Right to Freedom of Speech and Expression under Article 19(1)(a).

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Question 33

#583

Which of these is responsible for resolving disputes between States in India?

A

High Court

B

Lok Adalat

C

District Court

D

Supreme Court

Correct answer keyD

Explanation

Under Article 131 of the Indian Constitution, the Supreme Court of India holds original jurisdiction to resolve legal disputes that arise between two or more States.

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Question 34

#584

Indian Electorate voted for....... Lok Sabha, in the year 2024.

A

18th

B

17th

C

19th

D

16th

Correct answer keyA

Explanation

The Indian general elections held in the year 2024 were conducted to elect members of the 18th Lok Sabha.

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Question 35

#585

Approximately ......% of Uttarakhand's geographical area is plains, while the remaining ......... % is mountainous.

A

14, 86

B

24, 76

C

34, 66

D

10, 90

Correct answer keyA

Explanation

Uttarakhand is primarily a hilly state. Approximately 86% of its geographical area is mountainous terrain, leaving only about 14% as plains.

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Question 36

#586

The word 'Satyameva Jayate' is taken from

A

Yajur Veda

B

Atharva Veda

C

Mundaka Upanishad

D

Sam Veda

Correct answer keyC

Explanation

The national motto of India, 'Satyameva Jayate' (meaning Truth Alone Triumphs), is derived from the Mundaka Upanishad, an ancient Hindu philosophical text.

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Question 37

#587

In the absence of Gandhi ji, the Quit India Movement had been led by

A

Jawaharlal Nehru

B

Aruna Asaf Ali

C

Sarojini Naidu

D

Dadabhai Naoroji

Correct answer keyB

Explanation

Following the arrest of Mahatma Gandhi and other prominent leaders on August 9, 1942, Aruna Asaf Ali stepped forward to lead the Quit India Movement by hoisting the Indian National Congress flag at the Gowalia Tank Maidan in Bombay.

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Question 38

#588

Children learn..... through active thinking & reasoning.

A

conduct values

B

intrinsic values

C

Moral values

D

None of these

Correct answer keyC

Explanation

Through active thinking and reasoning, children develop their understanding of right and wrong, thereby internalizing moral values.

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Question 39

#589

Ethics determines rightness or wrongness of _____

A

human actions

B

human thoughts

C

human judgements

D

None of these

Correct answer keyA

Explanation

Ethics is the branch of philosophy that involves systematizing, defending, and recommending concepts of right and wrong behavior. Therefore, it specifically determines the rightness or wrongness of human actions.

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Question 40

#590

Which metal is liquid at room temperature?

A

Mercury

B

Radium

C

Plutonium

D

Copper

Correct answer keyA

Explanation

Mercury is a chemical element (symbol Hg) and is uniquely known for being the only metallic element that is liquid under standard conditions for temperature and pressure (room temperature).

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Question 41

#591

Solve and round off up to two digits of decimal. 1 ÷3/7×(6+8×32)+[1/5÷7/25{3/7+8/14}]\div 3/7 \times (6+8 \times 3-2) + [1/5 \div 7/25 - \{3/7+8/14\}]

A

65.05

B

65.04

C

65.00

D

65.06

Correct answer keyA

Explanation

Following the BODMAS rule:

  1. Solve the parenthesis: (6 + 8 × 3 - 2) = 6 + 24 - 2 = 28.
  2. Solve the curly brackets: {3/7 + 8/14} = {3/7 + 4/7} = 7/7 = 1.
  3. Solve the square brackets: [1/5 ÷ 7/25 - 1] = [1/5 × 25/7 - 1] = [5/7 - 1] = -2/7.
  4. Combine the remaining terms: 1 ÷ (3/7) × 28 + (-2/7) = (7/3) × 28 - 2/7 = 196/3 - 2/7.
  5. Take the LCM of 3 and 7 (21): (1372 - 6) / 21 = 1366 / 21 ≈ 65.0476.
    Rounding to two decimal places gives 65.05.
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Question 42

#592

A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

A

40%

B

45%

C

24%

D

50%

Correct answer keyD

Explanation

Step 1: Calculate runs scored from boundaries and sixes.

  • Runs from 3 boundaries (4s) = 3×4=123 \times 4 = 12 runs.
  • Runs from 8 sixes (6s) = 8×6=488 \times 6 = 48 runs.
  • Total runs from hits to the fence = 12+48=6012 + 48 = 60 runs.

Step 2: Calculate runs scored by running.

  • Total runs scored = 120.
  • Runs made by running between wickets = 12060=60120 - 60 = 60 runs.

Step 3: Find the percentage.

  • Percentage = (60120)×100%=0.5×100%=50%(\frac{60}{120}) \times 100\% = 0.5 \times 100\% = 50\%.
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Question 43

#593

A shopkeeper marks an article at Rs. 'A' and offers a discount of 60% on it. He sells it for Rs. 4720/- after charging GST of 18% on the discounted price. What is the value of 'A'?

A

Rs. 10,000/-

B

Rs. 6,280/-

C

Rs. 10,800/-

D

Rs. 7,800/-

Correct answer keyA

Explanation

Step 1: Formulate the expression for the selling price.

  • Let the marked price be AA.
  • After a 60%60\% discount, the price becomes A×(10.60)=0.4AA \times (1 - 0.60) = 0.4A.

Step 2: Apply the GST.

  • An 18%18\% GST is applied to the discounted price: 0.4A×(1+0.18)=0.4A×1.18=0.472A0.4A \times (1 + 0.18) = 0.4A \times 1.18 = 0.472A.

Step 3: Solve for A.

  • The final selling price is given as Rs. 4720.
  • 0.472A=47200.472A = 4720
  • A=47200.472=10000A = \frac{4720}{0.472} = 10000.
  • The marked price 'A' is Rs. 10,000/-.
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Question 44

#594

Suresh invested Rs. 500/- in SBI for 2 years. He also invested Rs. 300/- in ICICI for 4 years with same rate of interest. At the end, he received Rs. 220/- from both banks as simple interest. What was the rate of interest?

A

12%

B

10%

C

11%

D

5.5%

Correct answer keyB

Explanation

Step 1: Setup equations using Simple Interest (SI) formula: SI=P×R×T100SI = \frac{P \times R \times T}{100}.

  • Let the rate of interest be R%R\%.
  • Interest from SBI = 500×R×2100=10R\frac{500 \times R \times 2}{100} = 10R.
  • Interest from ICICI = 300×R×4100=12R\frac{300 \times R \times 4}{100} = 12R.

Step 2: Sum the interests and solve for R.

  • Total Interest = 10R+12R=22R10R + 12R = 22R.
  • We are given that the total interest is Rs. 220.
  • 22R=22022R = 220
  • R=22022=10R = \frac{220}{22} = 10.
  • The rate of interest is 10%10\%.
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Question 45

#595

Solve: 1800 ÷10{(126)+(2412)}\div 10\{(12-6)+(24-12)\}

A

10

B

3600

C

3240

D

4032

Correct answer keyC

Explanation

Following the BODMAS rule:

  1. Solve the small parentheses: (12 - 6) = 6 and (24 - 12) = 12.
  2. Solve the curly brackets: {6 + 12} = 18.
  3. The expression becomes 1800 ÷ 10 × 18.
  4. Moving from left to right, perform the division first: 1800 ÷ 10 = 180.
  5. Finally, perform the multiplication: 180 × 18 = 3240.
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Question 46

#596

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in ......... days.

A

5

B

6

C

10

D

11

Correct answer keyC

Explanation

Step 1: Calculate daily work rates.

  • A's 1 day work = 124\frac{1}{24}
  • B's 1 day work = 19\frac{1}{9}
  • C's 1 day work = 112\frac{1}{12}

Step 2: Calculate work done by B and C in 3 days.

  • (B + C)'s 1 day work = 19+112=4+336=736\frac{1}{9} + \frac{1}{12} = \frac{4 + 3}{36} = \frac{7}{36}.
  • Work completed in 3 days by B and C = 3×736=2136=7123 \times \frac{7}{36} = \frac{21}{36} = \frac{7}{12}.

Step 3: Calculate time taken by A to complete remaining work.

  • Remaining work = 1712=5121 - \frac{7}{12} = \frac{5}{12}.
  • Days taken by A = Remaining WorkA’s Rate=512124=512×24=5×2=10\frac{\text{Remaining Work}}{\text{A's Rate}} = \frac{\frac{5}{12}}{\frac{1}{24}} = \frac{5}{12} \times 24 = 5 \times 2 = 10 days.
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Question 47

#597

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A

12 days

B

15 days

C

16 days

D

18 days

Correct answer keyB

Explanation

Step 1: Calculate 1 day work values.

  • A = 120\frac{1}{20}
  • B = 130\frac{1}{30}
  • C = 160\frac{1}{60}

Step 2: Calculate the work completed in a 3-day cycle.

  • Day 1: A works alone = 120\frac{1}{20}
  • Day 2: A works alone = 120\frac{1}{20}
  • Day 3: A, B, and C work together = 120+130+160=3+2+160=660=110\frac{1}{20} + \frac{1}{30} + \frac{1}{60} = \frac{3+2+1}{60} = \frac{6}{60} = \frac{1}{10}
  • Total work done in 3 days = 120+120+110=220+110=110+110=210=15\frac{1}{20} + \frac{1}{20} + \frac{1}{10} = \frac{2}{20} + \frac{1}{10} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5}.

Step 3: Calculate total days to finish.

  • Since 15\frac{1}{5} of the work is completed in exactly 3 days, the full work (11) will require 55 such cycles.
  • Total days = 5×3=155 \times 3 = 15 days.
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Question 48

#598

A car travelling with 5/7 of its actual speeds 42 km in 1 hr 40 minutes and 48 seconds. Find the actual speed of the car.

A

20 km/hr

B

25 km/hr

C

30 km/hr

D

35 km/hr

Correct answer keyD

Explanation

Step 1: Convert the travel time entirely into hours.

  • 11 hr 4040 min 4848 sec = 1+4060+4836001 + \frac{40}{60} + \frac{48}{3600} hours.
  • Simplify the fractions: 1+23+175=7575+5075+175=12675=42251 + \frac{2}{3} + \frac{1}{75} = \frac{75}{75} + \frac{50}{75} + \frac{1}{75} = \frac{126}{75} = \frac{42}{25} hours.

Step 2: Determine the traveling speed of the car.

  • Distance = 4242 km.
  • Traveled Speed = DistanceTime=424225=25\frac{\text{Distance}}{\text{Time}} = \frac{42}{\frac{42}{25}} = 25 km/hr.

Step 3: Find the actual speed.

  • We are told this speed is 57\frac{5}{7} of the actual speed (SS).
  • 57×S=25\frac{5}{7} \times S = 25.
  • S=25×75=35S = 25 \times \frac{7}{5} = 35 km/hr.
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Question 49

#599

If 'quarter dozen' oranges costs Rs. 60/-. What will be the cost of three and a half dozen oranges?

A

Rs. 840

B

Rs. 480

C

Rs. 680

D

Rs. 450

Correct answer keyA

Explanation

Step 1: Find the cost of a single orange.

  • A dozen is 12 units. A 'quarter dozen' means 124=3\frac{12}{4} = 3 oranges.
  • Cost of 3 oranges = Rs. 60.
  • Cost of 1 orange = 603=\frac{60}{3} = Rs. 20.

Step 2: Calculate total cost for the required quantity.

  • Three and a half dozen = 3.5×12=423.5 \times 12 = 42 oranges.
  • Total cost = 42×20=42 \times 20 = Rs. 840.
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Question 50

#600

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is.

A

Rs. 4000/-

B

Rs. 3500/-

C

Rs. 4050/-

D

Rs. 5000/-

Correct answer keyA

Explanation

Step 1: Establish equations for total incomes based on averages.

  • Average of P and Q is 50505050, so P+Q=5050×2=10100P + Q = 5050 \times 2 = 10100.
  • Average of Q and R is 62506250, so Q+R=6250×2=12500Q + R = 6250 \times 2 = 12500.
  • Average of P and R is 52005200, so P+R=5200×2=10400P + R = 5200 \times 2 = 10400.

Step 2: Add all three equations.

  • (P+Q)+(Q+R)+(P+R)=10100+12500+10400(P + Q) + (Q + R) + (P + R) = 10100 + 12500 + 10400.
  • 2(P+Q+R)=330002(P + Q + R) = 33000.
  • P+Q+R=16500P + Q + R = 16500.

Step 3: Find P's specific income.

  • Substitute (Q+R)(Q + R) into the total equation: P+12500=16500P + 12500 = 16500.
  • P=1650012500=4000P = 16500 - 12500 = 4000.
  • The monthly income of P is Rs. 4000/-.