Previous Year Question Paper

GDS To MTS Question Paper 2025 Punjab Circle

Want to test yourself first? Practice these PYQs in an exam-like environment before reviewing the answers.

Exam practice

Build confidence by attempting the full paper before checking your score.

Take this PYQ as a timed test

GDS To MTS Question Paper 2025 Punjab Circle questions and answers

Logo Watermark

Question 1

#1301

Which of the following particulars should not be furnished in the address in case of mails for Defence Services personnel?

A

Number

B

Rank

C

Name

D

Post Town

Correct answer keyD

Explanation

The following particulars should always be furnished in the address in the case of mails for the personnel of the Defence Services serving in the Army and Air Force, which are to be delivered through Army Post Offices: No., Rank, Name and Unit. Such mails should be addressed to 56 A.P.O., 99 A.P.O, etc. without the addition of any post town.

Logo Watermark

Question 2

#1302

Which of the following is not a denomination of Indian Postal Order?

A

10

B

25

C

50

D

100

Correct answer keyB

Explanation

  • The amount for which a single postal order may be issued shall be in the denomination of ten rupees, twenty rupees, fifty rupees or one hundred rupees.
  • The amount for which an electronic - Indian postal order shall be issued is ten rupees.
Logo Watermark

Question 3

#1303

Which of the following is incorrect about Night Post Offices?

A

The working hours of Night Post Offices can be extended upto 8:30 PM.

B

Night Post Offices book registered articles, VP articles, Money Orders and IPO.

C

Working hours of Night Post Offices are fixed by Member (Operations), Postal Directorate.

D

Night Post Offices function on Sunday and National Holidays.

Correct answer keyC

Explanation

Night Post Offices — The working hours of Post Offices are generally fixed by the Head of the Circle according to the timings prescribed in Clause 5 of the Post Office Guide.

However, the Director-General may extend the working hours of any Post Office up to 8:30 PM and may also keep it open on Sundays. Such Post Offices are termed Night Post Offices and will transact only those transactions authorized by the Director-General.

Logo Watermark

Question 4

#1304

Rest Houses are ..........................

  1. Houses or Rooms provided at terminal or changing stations for accommodation of RMS staff
  2. They also include Holiday Homes and Inspection quarters
A

Only 1 is correct

B

Only 2 is correct

C

Both are correct

D

None of the above

Correct answer keyA

Explanation

Rest House — Rest Houses are houses or rooms provided at terminal or changing stations for the accommodation of Mail Agents, Mail Guards, and Van Peons, wherever absolutely necessary.

Logo Watermark

Question 5

#1305

Which of the following is incorrect regarding manner of posting?

A

Any envelope found in letter box will be treated as unregistered post

B

Any post card found in letter box will be treated as unregistered post

C

Any parcel found in letter box will be treated as unregistered post

D

Any inland found in letter box will be treated as unregistered post

Correct answer keyC

Explanation

Every parcel (including service parcels) intended for transmission by post must be presented at the window of the post office. Any parcel found in a letter box will be treated and charged as a registered parcel.

Logo Watermark

Question 6

#1306

Postal Life Insurance was introduced in which year?

A

1874

B

1884

C

1948

D

1907

Correct answer keyB

Explanation

Postal Life Insurance (PLI) was introduced on 1st February 1884.

Logo Watermark

Question 7

#1307

Which of the following are methods of prepayment of postage?

A

Affixing of postage stamps

B

Franking

C

Payment of cash at counter of Post Office

D

All the above

Correct answer keyD

Explanation

Prepayment of postage can be done by all the above methods, which includes affixing postage stamps, using a franking machine, or paying cash directly at the counter.

Logo Watermark

Question 8

#1308

Which of the following is incorrect about Registered Newspapers?

A

It has a bona fide list of subscribers

B

It is published at intervals of not more than 31 days

C

It has concessional rates of postage

D

It is to be treated as registered article

Correct answer keyD

Explanation

The incorrect statement is that it is to be treated as a registered article. Registered newspapers refer to registration with the Department of Posts for concessional postage rates, not that each copy is sent as a registered postal article with a receipt and tracking.

Logo Watermark

Question 9

#1309

Which of the following is incorrect?

A

Term Set is associated with Section

B

Term Set is associated with Mail Office

C

Set of Mail Office working on alternate nights is termed Batch

D

None of the above

Correct answer keyD

Explanation

All statements are correct, so none is incorrect. The establishment of RMS Sorting Assistants which is on duty at the same time in Mail Office is termed a set.
In the case of the sets of a Mail Office working on alternate nights with the same number of officials and the same mail and sorting pattern, the words 'Batch A' and 'Batch B' shall be used in addition to the usual consecutive number.

Logo Watermark

Question 10

#1310

Which of the following service has electronic transmission and physical delivery?

  1. E-Post
  2. E-Money Order
A

Only 1 is correct

B

Only 2 is correct

C

Both 1 and 2 are correct

D

None of the above

Correct answer keyC

Explanation

  • e-Post provides facility to send a message to any address in India with a combination of electronic transmission and physical delivery through a network of post offices.
  • e-Post sends messages as a soft copy through internet and at the destination, it will be delivered to the addressee in the form of hard copy as an unaccountable letter item.
  • E-Money Order also uses electronic transmission for swift transfer and physical payment.
Logo Watermark

Question 11

#1311

Which of the following articles cannot be delivered through Post Box?

A

Aerogrammes

B

Registered Newspapers

C

Registered Letters

D

Post cards

Correct answer keyC

Explanation

Post boxes are meant for fully prepaid unregistered articles. Registered Letters cannot be delivered through a Post Box because they require the signature of the addressee upon delivery.

Logo Watermark

Question 12

#1312

National Automatic Clearing House facility (NACH) aims at providing PLI/RPLI customers with........

A

Online facility to apply for death claims

B

Online facility for KYC updation

C

Automatic deduction of premium

D

Online facility for doing nomination

Correct answer keyC

Explanation

  • PLI SBI NACH integration was rolled out PAN India in Jan 2024.
  • This facility aims at providing ease to PLI/RPLI customers by auto-deducting premium directly from the policyholders' bank account linked to the NACH platform.
  • It also benefits the Department as it reduces lapsation rate of PLI/RPLI policies.
Logo Watermark

Question 13

#1313

Transit Sections are.........

  1. Travelling offices of Railway Mail Service
  2. Stationary Offices of Railway Mail Service
  3. A part of Returned Letter Offices
A

Only 1 is correct

B

Only 1 and 2 are correct

C

All the above are correct

D

None of the above are correct

Correct answer keyA

Explanation

Transit Sections are traveling offices of the Railway Mail Service working on Railway or river steamer lines. The officer-in-charge of a set of a transit section is called a Mail Guard or Mail Agent.

Logo Watermark

Question 14

#1314

Which of the following statements is true?

A

Assam is under North-East Postal Circle

B

Lakshadweep Islands are under Kerala Postal Circle

C

Goa is under Karnataka Postal Circle

D

Andaman & Nicobar Islands are under Tamil Nadu Postal Circle

Correct answer keyB

Explanation

The statement Lakshadweep Islands are under Kerala Postal Circle is true. Assam forms its own circle, Goa is under Maharashtra Circle, and Andaman & Nicobar Islands are under West Bengal Circle.

Logo Watermark

Question 15

#1315

Which of the following is a First-Class Mail?

A

Registered Newspapers

B

Letter Cards

C

Book Packets

D

Blind literature Packets

Correct answer keyB

Explanation

First-Class Mails in India include Letters, Letter Cards (Inland Letter Cards), and Postcards. These are given free air transmission within India.

Logo Watermark

Question 16

#1316

If payment of a Money Order to payee cannot be effected and this amount cannot be repaid to the remitter, this Money Order is called as..........

A

Withheld Money Order

B

Unpaid Money Order

C

Void Money Order

D

High value Money Order

Correct answer keyC

Explanation

A Money Order that cannot be paid to the payee and also cannot be repaid to the remitter is classified as a Void Money Order. The amount is eventually credited to the central government.

Logo Watermark

Question 17

#1317

One "My Stamp" sheet contains ______ stamps with face value of each stamp being Rs ______ and the cost of one sheet is Rs ______

A

10, Rs. 4/-, Rs. 200/- respectively

B

12, Rs. 5/-, Rs. 300/- respectively

C

20, Rs. 5/-, Rs. 100/- respectively

D

15, Rs. 4/-, Rs. 150/- respectively

Correct answer keyB

Explanation

One "My Stamp" sheet contains 12 stamps with a face value of Rs. 5/- each, and the cost of purchasing one customized sheet is Rs. 300/-.

Logo Watermark

Question 18

#1318

"A" Orders are orders issued by...............

A

Superintendent Post Offices for Establishment matters

B

Superintendent RMS for staff matters

C

Superintendent Post Offices for staff matters

D

Superintendent RMS for doing changes in Sorting lists

Correct answer keyD

Explanation

"A" Orders are orders issued by the Superintendent of Railway Mail Service (RMS) prescribing changes in sorting lists.

Logo Watermark

Question 19

#1319

Post Offices in charge of extra departmental agents are kept open for a maximum period of ...... hours only.

A

Four

B

Four and a half

C

Five

D

Five and a half

Correct answer keyC

Explanation

Post Offices in charge of Gramin Dak Sevaks (formerly extra departmental agents) are kept open for a maximum period of Five hours only.

Logo Watermark

Question 20

#1320

Which of the following are prohibited from postal transmission?

  1. Explosive items
  2. A letter bearing seditious symbol
  3. Properly protected sharp instrument
A

Only 1 is correct

B

Only 2 is correct

C

Both 1 and 2 are correct

D

All the above are correct

Correct answer keyC

Explanation

Explosive items and anything bearing seditious symbols are strictly prohibited from postal transmission. A properly protected sharp instrument is allowed if packed according to safety rules.

Logo Watermark

Question 21

#1321

Which of the facility is provided to domestic bulk customers by Department of Posts?

  1. Free pick up for more than Rs 10,000/- business per month
  2. Book Now Pay Later
  3. Late hour booking
A

Only 1 is correct

B

Only 2 is correct

C

Both 1 and 2 are correct

D

All three are correct

Correct answer keyC

Explanation

The Department of Posts provides facilities like Free pick up (if business exceeds the prescribed threshold) and the Book Now Pay Later (BNPL) scheme for corporate/bulk customers.

Logo Watermark

Question 22

#1322

Which of the following is not a Due Bag?

A

Mail Bag

B

Packet Bag

C

Registered Bag

D

Account Bag

Correct answer keyB

Explanation

Due bags are those which must be dispatched regularly whether there are articles for them or not. A Packet Bag is an unusual bag and not a due bag.

Logo Watermark

Question 23

#1323

Which of the following contents are to be sent by Inland post, only insured?

A

Confidential communication

B

E-Commerce Parcels

C

Currency

D

Original personal documents

Correct answer keyC

Explanation

Articles containing coin, bullion, precious stones, jewellery, and currency notes must be sent by inland post only if they are insured to cover the risk of loss.

Logo Watermark

Question 24

#1324

On a letter, the sender's address is to be written preferably on...........

A

Reverse of the address side of letter

B

Upper right-hand corner on address side

C

Lower left-hand corner on address side

D

Lower right-hand corner on address side

Correct answer keyC

Explanation

The sender's address should preferably be written on the lower left-hand corner on the address side of the envelope, or on the reverse.

Logo Watermark

Question 25

#1325

The expression Railway Mail Service means service responsible for carriage of mails by..........

  1. Rail
  2. Road
  3. River
  4. Air
A

Only 1 is correct

B

Only 1 and 2 are correct

C

Only 1, 2 and 4 are correct

D

All the above are correct

Correct answer keyD

Explanation

The expression Railway Mail Service means the service responsible for the carriage of mails by rail, road, river and air and for the collection and distribution of mails received from Post Offices by Mail Offices and sections.

Logo Watermark

Question 26

#1326

Gyan Post is...........

A

An initiative of Department of Posts to improve financial literacy in rural areas

B

An initiative to attract youth to Post Office

C

A mail service to allow sender to post certain books and study material through Post Office

D

An initiative on increasing awareness on Know Your Customers (KYC) norms

Correct answer keyC

Explanation

Gyan Post refers to a dedicated service or initiative facilitating the transmission of educational/study materials and books through the postal network.

Question 27

#1327

If an Indian Postal Order is not presented for payment within ______ months from the last day of month of issue, a second commission becomes due.

Removed from evaluation

This question was removed from the original paper as it was invalid, controversial, or out of syllabus and carries no marks.

A

One

B

Two

C

Three

D

Six

Explanation

Currency Period — Postal Orders presented within 24 months from the last day of the month of issue are encashable without payment of a second commission.

If a Postal Order is not presented for payment within 24 months from the last day of the month of issue, a second commission at the prescribed rate shall be charged. The commission may be paid by affixing a postage stamp on the back of the Postal Order or through a cash receipt.

Forfeiture — A Postal Order presented after 36 months from the last day of the month of issue shall be forfeited and shall not be paid.

Logo Watermark

Question 28

#1328

Camp Correspondence is intended.......

A

For carrying out Dak Choupals in Branch Post Offices

B

For sending important letters in Accounts Bag

C

For sending confidential letters by Divisional Heads to Sub Divisional Heads

D

For sending letters/articles to High officers on tour

Correct answer keyD

Explanation

The expression camp correspondence means letters and other articles of correspondence addressed "camp" or with any other prescribed address, without the addition of the name of any post-town, and intended for high officers on tour.

Logo Watermark

Question 29

#1329

A domestic Philatelic Deposit account (PDA) may be opened with a minimum deposit of Rs ______

A

100

B

200

C

300

D

500

Correct answer keyB

Explanation

A domestic Philatelic Deposit Account (PDA) can be opened at any Philatelic Bureau with a minimum deposit of Rs. 200.

Logo Watermark

Question 30

#1330

Which of the following is INCORRECT about Mahila Samman Savings Certificate?

A

Maximum limit is of Rs. Two Lakh in an account or all accounts held by an account holder.

B

Rate of interest in the scheme is 7.5% per annum.

C

50% withdrawal of eligible balance can be taken after one year of account opening.

D

Premature closure is allowed on extreme compassionate ground.

Correct answer keyC

Explanation

The account holder shall be eligible to withdraw maximum up to 40% of the eligible balance once after the expiry of one year from the date of opening of the account but before the maturity of the account. Thus, claiming 50% can be taken is incorrect.

Logo Watermark

Question 31

#1331

Which of the following rivers of Indus water system flows only in India?

A

Ravi

B

Beas

C

Sutlej

D

Chenab

Correct answer keyB

Explanation

The Beas river is the only river in the Indus water system that flows entirely within India.

  • It originates near the Rohtang Pass in Himachal Pradesh and merges with the Sutlej river at Harike in Punjab.
  • Under the Indus Water Treaty (1960), the waters of the Eastern rivers (Ravi, Beas, Sutlej) are allocated for exclusive use by India.
Logo Watermark

Question 32

#1332

Which state of India is famous for Madhubani paintings?

A

Uttar Pradesh

B

Bihar

C

Madhya Pradesh

D

Rajasthan

Correct answer keyB

Explanation

Bihar is famous for Madhubani paintings, also known as Mithila art.

  • This traditional art form originated in the Mithila region of Bihar.
  • It is characterized by eye-catching geometrical patterns and was traditionally created by women using natural dyes and pigments on freshly plastered mud walls.
Logo Watermark

Question 33

#1333

Direct Action Day was called by All India Muslim League on...

A

14th August 1947

B

16th August 1946

C

15th August 1947

D

4th September 1920

Correct answer keyB

Explanation

Direct Action Day was called on 16th August 1946 by the All India Muslim League.

  • Also known as the Great Calcutta Killings, it was initiated by Muhammad Ali Jinnah to demand the creation of a separate Muslim state (Pakistan).
  • It unfortunately resulted in massive communal riots and violence in Calcutta.
Logo Watermark

Question 34

#1334

Which is the highest peak of Aravalli-mountain range?

A

Dhupgarh

B

Anaimudi

C

Mansarover

D

Guru Shikhar

Correct answer keyD

Explanation

Guru Shikhar is the highest peak of the Aravalli mountain range.

  • It is located in the Arbuda Mountains of Rajasthan, near Mount Abu.
  • The peak stands at an elevation of 1,722 meters (5,650 feet) and is named after Dattatreya, an incarnation of Lord Vishnu.
Logo Watermark

Question 35

#1335

Which are the major communities that clashed in Manipur violence in recent times?

A

Angami and Lotha

B

Khasi and Garo

C

Kuki and Meitei

D

Kuki and Mizo

Correct answer keyC

Explanation

The major communities involved in the recent violence in Manipur are the Kuki and Meitei communities.

  • The conflict primarily revolves around land rights, ethnic tensions, and the demand for Scheduled Tribe (ST) status by the Meitei community, which the Kuki-Zomi tribes oppose.
Logo Watermark

Question 36

#1336

In which court/courts writ petitions can be filed?

A

Supreme Court

B

High Court

C

District Court

D

Only Supreme Court and High Court

Correct answer keyD

Explanation

Writ petitions can be filed in Only Supreme Court and High Court in India.

  • Under Article 32 of the Constitution, the Supreme Court can issue writs for the enforcement of Fundamental Rights.
  • Under Article 226, High Courts can issue writs for the enforcement of Fundamental Rights as well as for other legal rights.
Logo Watermark

Question 37

#1337

India celebrates its Teacher's Day annually on:

A

14th November

B

16th September

C

5th September

D

10th November

Correct answer keyC

Explanation

India celebrates National Teacher's Day annually on 5th September.

  • It marks the birth anniversary of Dr. Sarvepalli Radhakrishnan, the first Vice-President and second President of India, who was a renowned scholar and educator.
  • In contrast, World Teachers' Day is celebrated on October 5th.
Logo Watermark

Question 38

#1338

Which foreign dignitary was visiting India when the Pahalgam terrorist attack in April, 2025 happened?

A

President of South Africa

B

President of Kazakhstan

C

Vice President of USA

D

Prime Minister of Sri Lanka

Correct answer keyC

Explanation

Based on the provided context in the question, the Vice President of USA was the foreign dignitary visiting India when the Pahalgam terrorist attack occurred in April 2025.

  • Such incidents during high-profile diplomatic visits are often aimed at gaining international attention by militant groups.
Logo Watermark

Question 39

#1339

Chilika Lake is located in which state of India?

A

Madhya Pradesh

B

Arunachal Pradesh

C

Odisha

D

Himachal Pradesh

Correct answer keyC

Explanation

Chilika Lake is located in the state of Odisha.

  • It is the largest brackish water lagoon in Asia and the second largest coastal lagoon in the world.
  • It is a designated Ramsar site and serves as a major wintering ground for migratory birds arriving from the Caspian Sea, Lake Baikal, and other parts of Russia and Central Asia.
Logo Watermark

Question 40

#1340

Imagine that you are clearing a letter box and you find a purse containing original identity cards of a person. In this case what would you do?

A

Will not take it out since it is not your duty

B

Will give it to the beat Postman

C

Will bring it to the notice of Police through Postmaster

D

Will personally post these identity cards on the address mentioned on it

Correct answer keyC

Explanation

If you find a purse containing original identity cards while clearing a letter box, the correct procedure is to bring it to the notice of the Police through the Postmaster.

  • Postal employees are bound by strict protocols regarding lost and found items.
  • Handing it over to the police ensures that valuable personal belongings and sensitive documents are processed safely, legally, and returned to their rightful owner.
Logo Watermark

Question 41

#1341

In a class of 50 students, if 30% are Girls, then what is the number of Boys in that class?

A

20

B

15

C

30

D

35

Correct answer keyD

Explanation

Step-by-step Solution:

  • Total number of students = 50
  • Percentage of girls = 30%
  • Percentage of boys = 100%30%=70%100\% - 30\% = 70\%
  • Number of boys = 70%70\% of 50
  • 70100×50=35\frac{70}{100} \times 50 = 35
  • Therefore, there are 35 boys in the class.
Logo Watermark

Question 42

#1342

Gurbaksh completes a journey in 5 hours. He travels first half of the journey at the rate of 80 kmph and second half at the rate of 100 kmph. Find the total journey in km.

A

450 km

B

444 km

C

430 km

D

425 km

Correct answer keyB

Explanation

Step-by-step Solution:
Let the total distance of the journey be xx km. Then each half is x2\frac{x}{2} km.

  • Time taken for the first half = x280=x160\frac{\frac{x}{2}}{80} = \frac{x}{160} hours.
  • Time taken for the second half = x2100=x200\frac{\frac{x}{2}}{100} = \frac{x}{200} hours.
  • Total time = 55 hours.
  • x160+x200=5\frac{x}{160} + \frac{x}{200} = 5
  • LCM of 160 and 200 is 800.
  • 5x+4x800=5\frac{5x + 4x}{800} = 5
  • 9x800=5\frac{9x}{800} = 5
  • 9x=40009x = 4000
  • x=40009444.44x = \frac{4000}{9} \approx 444.44 km.
  • The closest option is 444 km.
Logo Watermark

Question 43

#1343

Ramesh sold a bicycle at Rs. 2100 at a loss of 25%. At what price should he sell the bicycle if he wants to make a profit of 15%?

A

Rs 2500

B

Rs 2990/-

C

Rs 3220/-

D

Rs 3500/-

Correct answer keyC

Explanation

Step-by-step Solution:

  • Selling Price (SP1SP_1) = Rs. 2100
  • Loss% = 25%
  • Cost Price (CPCP) = SP1×100100Loss%\frac{SP_1 \times 100}{100 - \text{Loss}\%}
  • CP=2100×10010025=2100×10075=2800CP = \frac{2100 \times 100}{100 - 25} = \frac{2100 \times 100}{75} = 2800
  • Desired Profit% = 15%
  • New Selling Price (SP2SP_2) = CP×100+Profit%100CP \times \frac{100 + \text{Profit}\%}{100}
  • SP2=2800×115100=28×115=3220SP_2 = 2800 \times \frac{115}{100} = 28 \times 115 = 3220
  • He should sell it at Rs. 3220/-.

Question 44

#1344

The cost of 12 pens and 7 pencils is 233. If the cost of a pen decreases by 1.50 and the cost of a pencil increases by 1, then the cost of two pens and three pencils will be:

Removed from evaluation

This question was removed from the original paper as it was invalid, controversial, or out of syllabus and carries no marks.

A

46

B

54

C

41

D

48

Explanation

Step-by-step Solution:

  • Let the cost of 1 pen be xx and 1 pencil be yy.
  • We have: 12x+7y=23312x + 7y = 233
  • This is a single equation with two variables (Diophantine equation). By testing integer values, we can find that x=13x = 13 and y=11y = 11 satisfies the equation: 12(13)+7(11)=156+77=23312(13) + 7(11) = 156 + 77 = 233.
  • New cost of a pen = 131.50=11.5013 - 1.50 = 11.50
  • New cost of a pencil = 11+1=1211 + 1 = 12
  • Cost of 2 pens and 3 pencils = 2(11.50)+3(12)=23+36=592(11.50) + 3(12) = 23 + 36 = 59.
  • Since 5959 is not in the options, the official answer key marks this question as X (invalid/grace mark).
Logo Watermark

Question 45

#1345

Tarsem moves from point A to B at a speed of 30 km/h and then from point B to A at a speed of 60 km/h. Its average speed would be:

A

40 km/h

B

45 km/h

C

90 km/h

D

30 km/h

Correct answer keyA

Explanation

Step-by-step Solution:

  • When a person travels equal distances at two different speeds, say S1S_1 and S2S_2, the average speed is given by the formula: 2S1S2S1+S2\frac{2 S_1 S_2}{S_1 + S_2}
  • Here, S1=30S_1 = 30 km/h and S2=60S_2 = 60 km/h.
  • Average speed = 2×30×6030+60\frac{2 \times 30 \times 60}{30 + 60}
  • =360090=40= \frac{3600}{90} = 40
  • The average speed is 40 km/h.
Logo Watermark

Question 46

#1346

Simplify the expression: 18 - [6 - {4 - (8 - 6 + 3)}]

A

20

B

11

C

15

D

18

Correct answer keyB

Explanation

Step-by-step Solution:
Follow the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):

  • Expression: 18[6{4(86+3)}]18 - [6 - \{4 - (8 - 6 + 3)\}]
  • First, solve the innermost bracket (86+3)(8 - 6 + 3):
  • =(2+3)=5= (2 + 3) = 5
  • The expression becomes: 18[6{45}]18 - [6 - \{4 - 5\}]
  • Next, solve the curly bracket {45}\{4 - 5\}:
  • =1= -1
  • The expression becomes: 18[6(1)]18 - [6 - (-1)]
  • Solve the square bracket [6+1][6 + 1]:
  • =7= 7
  • Final step: 187=1118 - 7 = 11
  • The simplified value is 11.
Logo Watermark

Question 47

#1347

A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do the job in:

A

20 days

B

221222\frac{1}{2} days

C

25 days

D

30 days

Correct answer keyB

Explanation

Step-by-step Solution:

  • Ratio of efficiencies of A and B = 3:13 : 1
  • Therefore, the ratio of time taken by A and B = 1:31 : 3
  • Let A take xx days and B take 3x3x days.
  • Given difference in time: 3xx=602x=60x=303x - x = 60 \Rightarrow 2x = 60 \Rightarrow x = 30.
  • So, A takes 30 days and B takes 90 days to complete the work alone.
  • Work done by A in 1 day = 130\frac{1}{30}
  • Work done by B in 1 day = 190\frac{1}{90}
  • Work done by (A + B) in 1 day = 130+190=3+190=490=245\frac{1}{30} + \frac{1}{90} = \frac{3 + 1}{90} = \frac{4}{90} = \frac{2}{45}
  • Time taken together = 452\frac{45}{2} days = 221222\frac{1}{2} days.
Logo Watermark

Question 48

#1348

In how many years will 950 produce 399 as simple interest at 7%?

A

5

B

6

C

7

D

8

Correct answer keyB

Explanation

Step-by-step Solution:

  • Principal (PP) = Rs. 950
  • Simple Interest (SISI) = Rs. 399
  • Rate (RR) = 7%7\%
  • Formula for Time (TT): T=SI×100P×RT = \frac{SI \times 100}{P \times R}
  • T=399×100950×7T = \frac{399 \times 100}{950 \times 7}
  • T=399006650T = \frac{39900}{6650}
  • T=6T = 6
  • The time is 6 years.
Logo Watermark

Question 49

#1349

A total of 25 students took an exam and four of them failed. What percentage of total students passed the exam?

A

80%

B

85%

C

84%

D

16.67%

Correct answer keyC

Explanation

Step-by-step Solution:

  • Total number of students = 25
  • Number of students who failed = 4
  • Number of students who passed = 254=2125 - 4 = 21
  • Pass percentage = Number of students passedTotal students×100\frac{\text{Number of students passed}}{\text{Total students}} \times 100
  • Pass percentage = 2125×100\frac{21}{25} \times 100
  • =21×4=84%= 21 \times 4 = 84\%
  • Therefore, 84% of the students passed.
Logo Watermark

Question 50

#1350

Simplify the expression: (9 x 3 ÷ 9 + 1) x 3

A

15

B

18

C

14

D

12

Correct answer keyD

Explanation

Step-by-step Solution:
Follow the BODMAS rule:

  • Expression: (9×3÷9+1)×3(9 \times 3 \div 9 + 1) \times 3
  • Inside the bracket, division is evaluated first: 3÷9=133 \div 9 = \frac{1}{3}
  • Then multiplication: 9×13=39 \times \frac{1}{3} = 3
  • Then addition: 3+1=43 + 1 = 4
  • So, the bracket evaluates to 44.
  • Finally, multiply by 3: 4×3=124 \times 3 = 12
  • The simplified value is 12.