TS CAB Recruitment Model Paper – Exam Pattern | ||||
---|---|---|---|---|

S. No. | Name of Tests (objective) | No. of questions | Max. Marks | Time allotted for each test (Separately timed) |

1. | General/Financial Awareness |
50 | 50 | 35 Minutes |

2. | General English |
40 | 40 | 35 Minutes |

3. | Reasoning Ability & Computer Aptitude. |
50 | 50 | 45 Minutes |

4. | Quantitative Aptitude |
50 | 50 | 45 Minutes |

Total |
190 |
190 |
160 Minutes |

**Answer**: Option D

**2. In the Mahayana Buddhism, the Bodhisattva Avalokitesvara was also known by which of the following names?**

**D.** Maitreya

**Answer**: Option C

**3. Which one of the following scripts of ancient India was written from right to left?**

**D.** Kharoshti

**Answer**: Option D

**4. Which one of the following was a Saiva sect in ancient India?**

**D.** Isanasivagurudevapaddhati

**Answer**: Option A

**5. Which one of the following sculptures invariably used green schist as the medium?**

**D.** Gandhara sculptures

**Answer**: Option C

**6. The “Ninety East Ridge” is a submarine volcanic ridge located in __?**

**Answer**: Option C

**7. The “Helmand Province” of Afghanistan is famous for cultivation of __:**

**D.** Cotton

**Answer**: Option B

**8. The cities of ‘Hiroshima’ and ‘Nagasaki’ are located on which among the following Islands of Japanese Archipelago?**

**D.** Kyushu and Shikoku respectively

**Answer**: Option A

**9. Which of the following countries are separated by the Strait of Gibraltar?**

**D.** Algeria and Portugal

**Answer**: Option C

**10. Which of the following places of the world is known for ‘Guano’, a uniquely-produced natural fertilizer which has a high concentration of nitrates?**

**Answer**: Option D

**11. Lysergic acid diethylamide (LSD) is a drug used as a :**

**Answer**: Option D

**12. Amalgam’ is a term used for an alloy of a metal with :**

**D.** Aluminium

**Answer**: Option D

**13. Gammaxene, D.D.T. and Bleaching powder are important compounds of :**

**D.** Aluminium

**Answer**: Option B

**14. L.P.G. is a hydrocarbon consisting of a mixture of :**

**D.** Ethane and Butane

**Answer**: Option B

**15. What is Kerogen oil?**

**Answer**: Option A

**16. The jurisdiction covering the Andaman and Nicobar islands falls under the supervision of __:**

**B.** A circuit bench of the Madras High Court at Port Blair

**C.** A circuit bench of the Calcutta High Court at Port Blair

**D.** A circuit bench of Supreme Court of India at Port Blair

**Answer**: Option C

**17. How long a person should have practiced in a High Court to be eligible to be appointed as a Judge of Supreme Court of India?**

**C.** 15 Years

**D.** 20 Years

**Answer**: Option A

**18. As per Indian Mythology, Dhumravarna is an incarnation or avatara of _______?**

**D.** Hanuman

**Answer**: Option C

**19. Which of the following cultural organizations was established by Maulana Abul Kalam Azad, the first Education Minister of independent India.?**

**D.** Sahitya Academy

**Answer**: Option A

**20. In which of the following states of India, Yakshagana, a dance drama is popular**

**Answer**: Option B

**21. What does the M in M-banking stands for?**

**B.** system of licensing of banks by RBI

**C.** regarding holidays of the bank

**D.** none of the above

**Answer**: Option A

**22. As per which act, holidays are provided in the banks?**

**B.** Banking regulation act

**C.** As per orders of govt.

**D.** Banking nationalization act.

**Answer**: Option B

**23. World investment report is published by?**

**B.** World bank

**C.** IMF

**D.** UNCTAD

**Answer**: Option D

**24. Which of the following schemes are not meant for investment purposes?**

**B.** mutual funds

**C.** infrastructure bonds

**D.** letter of credit

**Answer**: Option D

**25. What was the purpose of setting up Narsimhan committee-2?**

**B.** banking reform process

**C.** export of it sector

**D.** fiscal reform process

**Answer**: Option B

**26. Merchant banking in India is governed by**

**B.** RBI

**C.** IRDA

**D.** ministry of finance

**Answer**: Option A

**27. Money laundering means**

**B.** money acquired through criminal sources.

**C.** money acquired from undisclosed foreign sources.

**D.** process of conversion of money obtained illegally to appear to have originated from legitimate sources

**Answer**: Option D

**28. If you wish to purchase US dollars to travel abroad, you will approach**

**B.** US embassy

**C.** any bank branch authorized for such activity

**D.** RBI

**Answer**: Option C

**29. “Disguised unemployment” Denotes:**

**B.** a situation where too many workers are doing a limited amount of work.

**C.** a situation where workers are doing a limited amount of work

**D.** None of the above

**Answer**: Option B

**30. Foreign Trade Policy is Framed by :**

**B.** EXIM Bank

**C.** DGFT

**D.** Ministry of Commerce, Government of India.

**Answer**: Option D

**31. The “bank rate ” is :**

**Answer**: Option B

**32. The term “exchange arbitrage ” is the :**

**D.** buying of foreign currency to realise a future profit when it appreciates

**Answer**: Option C

**33. The law regarding negotiable instruments is contained in :**

**D.** The Negotiable Instruments Act, 1881

**Answer**: Option D

**34. ” Black Revolution ” is associated with :**

**D.** Printing Ink

**Answer**: Option C

**35. “channel Financing” means:**

**D.** None of the above

**Answer**: Option A

**36. Which is the Literary award?**

**B.** R. D. Birla Award

**C.** Jawaharlal Nehru Award

**D.** Jnanpith award

**Answer**: Option D

**37. Dronacharya Award is given to which field?**

**B.** Sports

**C.** Education

**D.** Music

**Answer**: Option B

**38. The Nobel Prizes are not presented for**

**D.** Arts

**Answer**: Option D

**39. Which is India’s highest civilian award?**

**C.** Padma Vibushan

**D.** Bharat Ratna

**Answer**: Option D

**40. In which year was the Bharat Ratna instituted?**

**D.** 1945

**Answer**: Option A

**41. Which is India’s highest Civilian honour?**

**B.** Padma bhushan

**C.** Padma Sri

**D.** Padma Vibushan

**Answer**: Option D

**42. Who was the first recipient of Bharat Ratna?**

**B.** Jawaharlal Nehru

**C.** Mahatma Gandhiji

**D.** Indira Gandhi

**Answer**: Option A

**43. Who was the first recipient of Padma Vibhushan?**

**B.** Satyendra Nath Bose

**C.** Dr. Bir Bhan Bhatia

**D.** Jawaharlal Nehru

**Answer**: Option B

**44. Which is India?s highest military honour?**

**B.** Vir Chakra

**C.** Maha Vir Chakra

**D.** Bharat Ratna

**Answer**: Option A

**45. The Reserve Bank of India will transfer its surplus profit of 65,896 crore rupees to the Centre. This amount is ___ percent higher than previous year.**

**B.** 19%

**C.** 25%

**D.** 33%

**Answer**: Option C

**46. RBI has relaxed norms for which of the following bonds?**

**B.** Rupee denominated overseas bonds

**C.** Green bonds

**D.** Both A and B

**Answer**: Option D

**47. RBI has expanded the definition of which scheme?**

**C.** Personalised banking scheme

**D.** None of the above

**Answer**: Option A

**48. RBI kept repo rates ____ in second bi-monthly monetary policy review.**

**D.** None of the above

**Answer**: Option C

**49. RBI has tightened the rules around JLFs. What does JLF stand for?**

**D.** None of the above

**Answer**: Option A

**50. According to RBI, India’s forex reserves rose to which record high?**

**Answer**: Option A

- A. in

B. into

C. on

D. through

**Answer**: Option C

**1. Very often we do not get what we find ——-**

- A. for

B. about

C. at

D. on

**Answer**: Option A

**3. The reward was not commensurate ———- the work was done by us.**

- A. on

B. for

C. with

D. order

**Answer**: Option C

**Active Voice and Passive Voice**

**4. We ———————- for the examination.**

- A. Have preparing

B. Are preparing

C. Had preparing

D. Have been prepared

**Answer**: Option B

**5. The Romans expected to conquer Carthage.**

- A. The Romans expected, to have conquered Carthage.

B. Carthage was expected to be conquered by the Romans.

C. The Romans were expected to conquer Carthage.

D. It was expected by the Romans that they would conquer Carthage.

**Answer**: Option D

**6. He teaches us Grammar.**

- A. We are taught Grammar by him.

B. We are being taught Grammar by him.

C. Grammar is taught to us by him.

D. Grammar is being taught us by him.

**Answer**: Option A

**Joining Sentences**

**7. Walk a bit faster. We will miss the bus.
(A) If you don’t walk a bit faster …..
(B) Either you walk a bit faster or …..
(C) Unless you walk a bit faster …..**

- A. Only A

B. A and B

C. Only C

D. B and C

E. A and C

**Answer**: Option E

**Explanation**:

The two sentences are related to a condition (i.e) ‘if you walk fast you will catch the bus. Hence, conjunctions like, if and ‘unless’ can be used to combine the two sentences effectively. ‘Either … or’ is used to show a choice between two things which you would opt for. Here it is a condition where it is essential to walk faster if they have to catch the bus and not a choice.

**8. They are making such a lot of noise. It is impossible to work.
(A) As they are making such a …..
(B) Since they are making such a …..
(C) If they are making such a …..**

- A. Only A

B. A and B

C. Only B

D. B and C

E. All the three

**Answer**: Option B

**Explanation**:

The two sentences are linked with a cause and its reason. The use of ‘as’, ‘since’ and ‘because’ can combine the sentences meaningfully. The use of ‘if’ is incorrect as it denotes a condition in the future.

**9. He was a prolific writer. He was an eloquent speaker.**

(A) He was not only a prolific writer but also …..

(B) Besides being a prolific writer …..

(C) Since he was a prolific writer …..

- A. Only B

B. A and B

C. Only A

D. B and C

E. All the three

**Answer**: Option B

**Explanation**:

Apart from being a prolific writer, he was an eloquent speaker. This meaning is brought out using A and B as the probable starters.

**Spotting Errors**

**10. These display (a) / the (b) / remarkable variety (c) / No error (d)**

- A. these display

B. the

C. remarkable variety

D. no error

**Answer**: Option B

**11. Most people would have (a) / attended the union meeting (b) / if they had (c) / had longer notice of it (d) / No error(e)**

- A. most people would have

B. attended the union meeting

C. if they had

D. had longer notice of it

E. no error

**Answer**: Option E

**12. As soon as the teacher entered (a) / everyone fell (b) / in a silence (c) / No error (d)**

- A. as soon as the teacher entered

B. everyone fell

C. in a silence

D. no error

**Answer**: Option C

**Synonyms**

**13. Loquacious**

- A. Talkative

B. Thirsty

C. Beautiful

D. Complicated

**Answer**: Option A

**Explanation**:

loquacious means excessively talkative, or garrulous

**14. Appall**

- A. Delirious

B. Covered

C. Dismay

D. Confuse

**Answer**: Option C

**Explanation**:

to appall is to overcome with shock, or to the dismay

**15. Simulate**

- A. Excite

B. Imitate

C. Trick

D. Apelike

**Answer**: Option B

**Explanation**:

To simulate is to assume the outward appearance of, or to imitate

**Sentence Improvement**

**16. My copy is as good or better than yours.**

- A. as good as or

B. as good as

C. as good and better

D. none

**Answer**: Option B

**17. She is worried about his health and also me.**

- A. also is me

B. I also are

C. so am I

D. so come too

**Answer**: Option C

**18. Do how I say.**

- A. as

B. that

C. like

D. which

**Answer**: Option A

**Error Correction (Phrase in colour)**

**19. You would not drive so fast; we have plenty of time.**

- A. will not

B. had not

C. need not

D. do not

E. No correction required

**Answer**: Option C

**Explanation**:

The sentence suggests that driving fast is not necessary. Hence the most appropriate modal verb to suit this context would be ‘need not’. ‘Will not’ suggests a simple future which is inapt. ‘Had not’ and ‘do not’ are illogical.

**20. To be overweighed is not the same as being obese.**

- A. Being overweighed

B. To be overweight

C. Being overweight

D. Being overweight

E. No correction required

**Answer**: Option D

**Explanation**:

The comparison is between ‘being overweight’ and ‘being obese’. As the second part of the sentence has ‘being obese’ parallelism demands that the first part also takes the same be-form. Hence, ‘being overweight’ is the correct way of expressing the idea.

**21. Scientists have estimated that millions of creatures living in water had been dying every year if they become entangled in plastic pollution or ingest it.**

- A. every year is dying as

B. has died every year as if

C. die every year when

D. was dying every year when

E. No correction required

**Answer**: Option C

**Explanation**:

Scientists say that it happens ‘every year’. Hence it is most apt to use the simple present tense (die) in this context. Also the use of ‘if’ as the conjunction is illogical. They die ‘when they become entangled in’.

**Para Completion **

**22. Stress is an inevitable part of sports. —- Absence of stress leads to apathy and a disinterested performance.
(A) Stress can be treated as a positive sign as well.
(B) Stress is not necessarily bad: it is, after all, the body’s way of rising to a challenge.
(C) During stress, the mind becomes alert, the muscles tense as if ready for a fight or flight and the heart, lungs, and metabolism gets ready to act.**

- A. Only A

B. Only B

C. Only C

D. A and B

E. All the three

**Answer**: Option C

**Explanation**:

The first statement states that stress cannot be avoided in sports. Statement C follows the first statement by elaborating on how stress is beneficial to the human body. The last sentence summarizes the paragraph by saying what the absence of stress would lead to. Thus only statement C forms a coherent paragraph with the two given statements.

**23. If you are a doctor, one of the greatest honors to which you can aspire is to have a nightmarish disease named after you. —- Eponyms bring color, tradition, and culture to medicine and also provide a useful shorthand.
(A) Hundreds of so-called eponyms dot the medical textbooks, enshrining the name of a man or a woman who became the first to identify some horrible ailment, describe symptoms or devise a new diagnostic test.
(B) But the time-honored practice is under threat, judging by a fierce debate in the August 2007 issue of the British Medical Journal.
(C) Names, especially when it comes to obscure conditions or procedures, can cause confusion and are often historically untruthful, argue some of the anti-eponymists.**

- A. A and B

B. Only A

C. B and C

D. Only C

E. A and C

**Answer**: Option B

**Explanation**:

Sentence A follows the first sentence as it tells us what this practice of naming a disease after a person is called (i.e.) eponym. And the last sentence highlights on the importance of using such eponyms. Hence the given two sentences along with sentence A forms a logical paragraph. Sentences B and C express the idea of the anti-eponymists and their debate with the pro-eponymists which is not necessary in this context.

**24. Chronic pain is common among older people. —- A new study has revealed that mind-body therapies such as yoga and meditation that cause interaction between the mind, body, and behavior can help the elderly get rid of chronic pain.
(A) The people suffering from chronic pain can help themselves with some mind-body therapies which include yoga, meditation, progressive muscle relaxation, and tai chi.
(B) Sufferers are often unable to receive adequate treatment because of limited physician training in pain management for the elderly and the increased likelihood of side effects from pain medication.
(C) The mind-body therapies are well suited even to the frail older adults because of their gentle approach.**

- A. Only A

B. Only B

C. Only C

D. A and B

E. B and C

**Answer**: Option B

**Explanation**:

The opening sentence talks about the relation between old age and chronic pain. Though without any other sentence the last sentence can follow the first to complete the idea, it is better to introduce sentence B in between as it gives a reason as to why the elderly people go in for mind-body therapies instead of another kind of treatment.

**Sentence Completion**

**25. Amie agrees with the ______ that the grass is always greener on the other side of the fence.**

- A. perpetuity

B. penchant

C. maxim

D. conformation

E. fortitude

**Answer**: Option C

**Explanation**:

Maxim (n.) is an established principle or a general truth, often a condensed version of practical truth.

**26. The accused ———– having made any statement.**

- A. refused

B. rejected

C. declaimed

D. denied

**Answer**: Option D

**27. It was ______ to think that it could possibly snow in the middle of the desert.**

- A. advantageous

B. philosophical

C. eroding

D. preventative

E. preposterous

**Answer**: Option E

**Explanation**:

Preposterous (adj.) means contrary to common sense or utterly absurd.

**Fill in the blanks**

**28. The police were forced to open tear gas shells on the _____ mob.**

(A) obdurate

(B) docile

(C) recalcitrant

(D) steadfast

(E) dogged

(F) languid

- A. A and E

B. C and E

C. A and C

D. B and C

E. E and F

**Answer**: Option C

**Explanation**:

A mob can only be ‘recalcitrant’ (disobedient) or ‘obdurate’. The word ‘dogged’ has a positive connotation and hence is not used with ‘mob’.

**29. After a protracted illness which left her weak and _____, she is now on the road to recovery.**

(A) energized

(B) debilitated

(C) invigorated

(D) emaciated

(E) robust

(F) enervated

- A. A and C

B. B and F

C. D and E

D. B and D

E. E and F

**Answer**: Option B

**Explanation**:

A, C and E are ruled out because an illness, does not leave anyone ‘energized’, ‘invigorated’ or ‘robust’ (strong). D is inappropriate because a minor ailment does not leave a person ’emaciated’ (thin). B and F are most appropriate.

**Error Correction (Underlined Part)**

**30. I shall not detain you longer than it is a necessity.**

- A. it is a need

B. it shall be needed

C. it is necessary

D. it will be a necessity

E. No correction required

**Answer**: Option C

**Explanation**:

The use of the noun ‘necessity’, is wrong. It should be used in the adjective form (i.e) necessary.

**31. He went to his native village taking two day’s leave.**

- A. two day’s leave

B. two day leaves

C. two days to leave

D. two leave days

E. No correction required

**Answer**: Option A

**Explanation**:

He has taken ‘leave for two days’. Hence it becomes ‘two days’ ‘leave’ where’s after the apostrophe need not be used.

**Passage Completion**

**32. Choose the best word in place of ( III ) from the given passage**

- A. weakens

B. initiates

C. awakens

D. strengthens

E. volatile

**Answer**: Option A

**33. Choose the best word in place of ( III ) from the given passage**

- A. weakens

B. initiates

C. awakens

D. strengthens

E. volatile

**Answer**: Option A

**Substitution**

**34. One who walks in one’s sleep.**

- A. ignorant

B. nematic

C. dreamer

D. somnambulist

**Answer**: Option D

**3. A commonplace remark.**

- A. epigram

B. remark

C. statement

D. statement

**Answer**: Option D

**Idioms and Phrases**

**35. To cross swords with someone**

- A. to nurture vengeance against someone

B. to make secret plans to harm someone

C. to end a long-standing enmity with someone

D. to have a verbal contest with someone

E. to make an impression on someone

**Answer**: Option D

**Explanation**:

‘To cross swords with someone’ means to have a verbal contest with someone.

**36. To shed crocodile tears**

- A. to pretend to be sad about something

B. to have a difficult problem that makes one worried

C. a sad thing that appears suddenly

D. to feel worried anticipating some trouble

E. to complain that someone else has done something wrong to one.

**Answer**: Option A

**Explanation**:

When a person sheds ‘crocodile tears’ it means that he is pretending to be sad.

**Antonyms**

**37.SOLDER**

- A. merge

B. separate

C. know

D. ignore

E. discard

**Answer**: Option B

**Explanation**:

Solder means to join together, hence separate is its antonym.

**38. SOGGY**

- A. juicy

B. damp

C. withered

D. weak

E. dry

**Answer**: Option E

**Explanation**:

Soggy means very wet and soft, dry is its antonym.

**Sentence Arrangement**

**39. The house
(P) about half a mile distant
(Q) that stands in front of us
(R) was built of stones
(S) which were dug out of its own site**

- A. QSPR

B. QRPS

C. QPRS

D. QRSP

**Answer**: Option C

**40. They are plant eaters
(P) and various kinds of vegetation
(Q) browsing on grass
(R) and consume
(S) vast quantities of pasture**

- A. RSQP

B. QSRP

C. QPRS

D. RSPQ

**Answer**: Option C

** Answer**: Option A

**Explanation**:

The word has been coded in such as way that codes for letter P are OQ (One letter behind and one letter ahead of P in alphabet). Similarly, codes for O are NP and so on.

**2. In a certain code, BOXER is written as AQWGQ. How to VISIT is written in that code?**

**Answer**: Option B

**Explanation**:

Letters at the odd places have been written one letter back, and letters at the even places have been written two letters ahead in the coded word as their positions in the alphabet.

**3. If CLOTHES is EXHAUST and THRICE is STABLE, then SHIRT is**

** Answer**: Option D

**Explanation**:

Using the above coding procedure as in the previous question, we find that the codes for letters $ and I will be B and L, and thus coding for SHIRT will be BLASH.

**4. 3, 5, 11, 14, 17, 21**

**Answer**: Option C

**Explanation**:

Each of the numbers except 14 is an odd number.

The number ’14’ is the only EVEN number.

**5. 8, 27, 64, 100, 125, 216, 343**

** Answer**: Option B

**Explanation**:

The pattern is \({2}^{3}\), \({3}^{3}\), \({4}^{3}\), \({5}^{3}\), \({6}^{3}\), \({7}^{3}\). But, 100 is not a perfect cube.

** 6. 10, 25, 45, 54, 60, 75, 80**

** Answer**: Option c

**Explanation**:

Each of the numbers except 54 is multiple of 5.

**7. 396, 462, 572, 427, 671, 264**

**Answer**: Option B

**Explanation**:

In each number except 427, the middle digit is the sum of other two.

**8. 6, 9, 15, 21, 24, 28, 30**

**Answer**: Option A

**Explanation**:

Each of the numbers except 28, is a multiple of 3.

**9. 1, 4, 9, 16, 23, 25, 36**

**Answer**: Option B

**Explanation**:

Each of the numbers except 23, is perfect square.

**10. 1, 4, 9, 16, 20, 36, 49**

**Answer**: Option C

**Explanation**:

The pattern is \({1}^{2}\), \({2}^{2}\), \({3}^{2}\), \({4}^{2}\), \({5}^{2}\), \({6}^{2}\), \({7}^{2}\). But, instead of \({5}^{2}\), it is 20 which to be turned out.

**Directions**: In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

(A) If only (1) conclusion follows

(B) If only (2) conclusion follows

(C) If either (1) or (2) follows

(D) If neither (1) nor (2) follows and

(E) If both (1) and (2) follow.

**11. Statements: Some actors are singers. All the singers are dancers.**

Conclusions:

**Some actors are dancers.
No singer is actor.**

**Answer**: Option A

**Explanation**:

**12. Statements: All the harmoniums are instruments. All the instruments are flutes.**

Conclusions:

**All the flutes are instruments.
All the harmoniums are flutes.**

**Answer**: Option B

**Explanation**:

**13. Statements: Some mangoes are yellow. Some tixo are mangoes.**

Conclusions:

**Some mangoes are green.
Tixo is a yellow.**

**Answer**: Option D

**Explanation**:

**14. Statements: Some ants are parrots. All the parrots are apples.**

Conclusions:

**All the apples are parrots.
Some ants are apples.**

**Answer**: Option B

**Explanation**:

**15.
Statements: Some papers are pens. All pencils are pens.**

Conclusions:

**Some pens are pencils.
Some pens are papers.**

**Answer**: Option d

**Explanation**:

**16.
Statements: All the actors are girls. All the girls are beautiful.**

Conclusions:

**All the actors are beautiful.
Some girls are actors. **

** Answer**: Option D

**17: Statements: All the windows are doors. No door is a wall.**

Conclusions:

**Some windows are walls.
No wall is a door.**

** Answer**: Option B

**18. If + means /, * means -, / means * and – means +, then 8 + 6 * 4 / 3 – 4 = ?**

**Answer**: Option B

**Explanation**:

Using the correct symbols, we have: Given expression = 8 / 6 – 4 * 3 + 4 = 4 / 3 – 4 * 3 + 4 = 4 / 3 – 12 + 4 = – 20 / 3

**19. If * means -, + means /, – means * and , means +, then 15 – 2 / 900 + 90 * 100 = ?**

E. None of these

**Answer**: Option E

**Explanation**:

Using the correct symbols, we have: Given expression = 15 * 2 + 900 / 90 – 100 = 15 * 2 + 10 – 100 = 30 + 10 – 100 = – 60

**20. If + means /, – means *, / means -, * means +, what will be the value of 8 + 6 / 4 – 7 * 3 ?**

**Answer**: Option A

**Explanation**:

Using the correct symbols, we have: Given expression = 8 / 6 – 4 * 7 + 3 = (4 / 3) – 4 * 7 + 3 = (4 / 3) – 28 + 3 = – 71 / 3.

**21. Sword : Slaughter :: Scalpel : ?**

**Answer**: Option C

**Explanation**:

Second denotes the purpose for which the first is used.

**22. Life: Autobiography:: Witness:?**

**Answer**: Option C

**Explanation**:

Second contains an account of the first.

**23. Chef : Restaurant :: Druggist : ?**

**Answer**: Option B

**Explanation**:

Second is the working place of the first.

**24. 3, 12, 8, 19, 13, 32, 18, 42, 23, 52**

**Answer**: Option B

**Explanation**:

The sequence is a combination of the following two series:

I. 3, 8, 13, 18, 23 and II. 12, 19, 32, 42, 52

The pattern in I has a constant difference of +5, and the pattern in II has a constant difference of +10. So, in II, 19 is wrong and should be replaced by (12+10) i.e. 22

**25. 31, 2, 41, 3, 52, 4, 61, 5, 71, 6**

**Answer**: Option C

**Explanation**:

The sequence is a combination of two given series:

I. 31, 41, 52, 61, 71 and II. 2, 3, 4, 5, 6

So, the pattern in I is + 10

Thus, 52 is wrong and should be replaced by (41 + 10) i.e. 51.

**26. Inventory is also referred to as:**

**B.** warehouse capacity

**C.** materials

**D.** materials in hand

**Answer**: Option A

**27. Critical path of the PERT chart is:**

**B.** the shortest path

**C.** both of the above

**D.** path which takes the shortest time to complete the project

6

**Answer**: Option A

**28. A lockbox service is used for**

**B.** paying bank customer bills automatically

**C.** storing papers in a bank vault

**D.** depositing payments to bank customers

**Answer**: Option D

**29. Controls of data communication deal with**

**B.** the computer

**C.** terminals

**D.** All of the above

**Answer**: Option D

**30. Windows Naming Service (WINS)**

**B.** runs on Windows NT W/S

**C.** resolves computer names to IP addresses

**D.** Increases broadcast traffic

**Answer**: Option C

**31. How do you configure a printing pool?**

**B.** Associate multiple print devices with one printer

**C.** Associate multiple print devices with multiple printers

**D.** Associate one physical print gear port with multiple printers

**Answer**: Option B

**32. In which addressing mode the effective address of the operand is the contents of a register specified in the instruction and after accessing the operand, the contents of this register is incremented to point to the next item in the list?**

**B.** indirect addressing

**C.** auto increment

**D.** auto decrement

**Answer**: Option C

**33. Which of the following are(is) Language Processor(s)**

**B.** compilers

**C.** interpreters

**D.** All of the above

**Answer**: Option D

**34. Fragmentation of the file system**

**B.** can always be prevented

**C.** can be temporarily removed by compaction

**D.** is a characteristic of all file systems

**Answer**: Option C

**35. In virtual memory systems, Dynamic address translation**

**B.** stores pages at a specific location on disk

**C.** is useless when swapping is used

**D.** is part of the operating system paging algorithm

**Answer**: Option A

**36. Which command is used to remove the read permission of the file ‘note’ from both the group and others?**

**B.** chmod go+rw note

**C.** chmod go-x note

**D.** chmod go-r note

**Answer**: Option D

**37. Which command sends the word count of the file in file to the new file.**

**B.** wc infile >newfile

**C.** wc infile – newfile

**D.** wc infile | newfile

**Answer**: Option A

**38. Which command is used to extract specific columns from the file?**

**B.** cut

**C.** grep

**D.** paste

**E.** 6

**Answer**: Option B

**39. Which command is used to remove a directory?**

**C.** dldir

**D.** rdir

**Answer**: Option B

**40. Which of the following keys is used to replace a single character with a new text?**

**D.** c

**Answer**: Option B

**41. Which command is used to sort the lines of data in a file in reverse order**

**D.** sort -r

**Answer**: Option D

**42. ASCII and EBCDIC differ in**

**B.** the random and sequential access method

**C.** the number of bytes used to store characters

**D.** their collecting sequences

**Answer**: Option D

**43. In which code the successive code characters differ in only one-bit position?**

**B.** excess 3 code

**C.** 8421 code

**D.** algebraic code

**Answer**: Option A

**44. A positive AND gate is also a negative**

**B.** NOR gate

**C.** AND gate

**D.** OR gate

**Answer**: Option D

**45. Address 200H contains the byte 3FH. What is the decimal equivalent of 3FH**

**Answer**: Option A

**46. An OR gate can be imagined as**

**B.** switches connected in parallel

**C.** MOS transistors connected in series

**D.** All of the above

**Answer**: Option B

**47. In which addressing mode, the effective address of the operand is generated by adding a constant value to the contents of register?**

**B.** indirect mode

**C.** immediate mode

**D.** index mode

**Answer**: Option D

**48. A self-relocating program is one which**

**C.** can itself perform the relocation of its address-sensitive portions

**D.** All of the above

**Answer**: Option C

**49. Convert the 11014B machine language instructions into assembly language, assuming that they were not generated by pseudo-ops:**

**C.** STOREA h#014B, d

**D.** ADDA h#01FE, i

**Answer**: Option C

**50. Which of the following functions is/ are performed by the loader?**

**C.** Adjust all address dependent locations, such as address constants, to correspond to the allocated space

**D.** All of the above

**Answer**: Option D

**Answer**: Option (C)

**Explanation**:

Principal = Rs. (\(\frac{100 \times 5400}{12 \times 3}\))= Rs. 15000.

**2. Due to the sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?**

**Answer**: Option (C)

**Explanation**:

**3. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:**

**Answer**: Option (B)

**Explanation**:

Clearly, l = (48 – 16)m = 32 m,

b = (36 -16)m = 20 m,

h = 8 m.

Volume of the box = (32 x 20 x 8) \({m}^{3}\) = 5120 \({m}^{3}\).

**4. If log 2 = 0.30103, the number of digits in 264 is:**

**Answer**: Option C

**Explanation**:

log (264) = 64 x log 2

= (64 x 0.30103)

= 19.26592

Its characteristic is 19.

Hence, then a number of digits in 264 is 20.

**5. X, Y, and Z are the three contestants in one km race. If X can give Y a start of 52 meters and X can also give Z a start of 83 meters, how many meters start Y can give Z?**

**B.** 33 m

**C.** 32 m

**D.** 32.7 m

**Answer**: Option D

**Explanation** :

While X runs 1000 metre, Y runs (1000-52)=948 metre and Z runs (1000-83)=917 metre

i.e., when Y runs 948 meters, Z runs 917 meters

When Y runs 1000 metre, Z runs (\(\frac{917}{948}\))×1000 = 967.30 metre

i.e., Y can give Z (1000-967.30) = 32.7 meters.

**6. 6156 ÷ √? × 53 = 4028**

None of these

**Answer**: D

**Solution**:

(\(\frac{6153 \times 53}{\sqrt{?}}\)) = 4028

? = 80.96 ≈ 81

? = 6561.

**7. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:**

**Answer**: Option A

**Explanation**:

Let the actual distance traveled be x km.

Then,(\(\frac{x}{10}\)) = (\(\frac{x + 20}{14}\))

14x = 10x + 200

4x = 200

x = 50 km.

**8. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?**

**Answer**: Option B

**Explanation**:

There is a meal for 200 children. 150 children have taken the meal.

The remaining meal is to be catered to 50 children.

Now, 200 children 120 men.

50 children =(\(\frac{120}{200}\)) x 50 = 30 men.

**9. In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?**

**Answer**: Option C

**Explanation**:

There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.

Let us mark these positions as under:

(1) (2) (3) (4) (5) (6)

Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5.

Number of ways of arranging the vowels = 3P3 = 3! = 6.

Also, the 3 consonants can be arranged at the remaining 3 positions.

Number of ways of these arrangements = 3P3 = 3! = 6.

Total number of ways = (6 x 6) = 36.

**10. (256)0.16 x (256)0.09 = ?**

**Answer**: Option A

**Explanation**:

(256)0.16 x (256)0.09 = (256)(0.16 + 0.09)

= (256)0.25

= (256)(25/100)

= (256)(1/4)

= (44)(1/4)

= 44(1/4)

= 41

= 4

**11. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?**

**Answer**: Option C

**Explanation**:

Suppose pipe A alone takes x hours to fill the tank.

Then, pipes B and C will take (\(\frac{x}{2}\)) and (\(\frac{x}{4}\)) hours respectively to fill the tank.

(\(\frac{1}{x}\)) + (\(\frac{2}{x}\)) + (\(\frac{4}{x}\)) =(\(\frac{1}{5}\)) 1

(\(\frac{7}{x}\)) = (\(\frac{1}{5}\))

x = 35 hrs.

**13. The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance traveled downstream in 12 minutes is:**

**Answer**: Option D

**Explanation**:

Speed downstream = (15 + 3) kmph = 18 kmph.

Distance travelled = 18 x (\(\frac{12}{60}\))km

= 3.6 km.

**14. On dividing a number by 357, we get 39 as the remainder. On dividing the same number 17, what will be the remainder?**

**Answer**: Option C

**Explanation**:

Let x be the number and y be the quotient. Then,

x = 357 x y + 39

= (17 x 21 x y) + (17 x 2) + 5

= 17 x (21y + 2) + 5)

Required remainder = 5.

**15. A began a business with Rs. 85,000. He was joined afterward by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3: 1?**

- A. 4 months

**Answer**: Option D

**Explanation**:

Suppose B joined for x months. Then,

Then, (\(\frac{1800\times 12}{42500\times x}\))=(\(\frac{3}{1}\))

x = (\(\frac{1800\times 12}{42500\times 3}\))

= 8.

So, B joined for 8 months.

**16. The fourth proportional to 5, 8, 15 is:**

**Answer**: Option B

**Explanation**:

Let the fourth proportional to 5, 8, 15 be x.

Then, 5: 8: 15: x

5x = (8 x 15)

x = (\(\frac{(8 x 15)}{5}\)) = 24.

**17. Find the lowest common multiple of 24, 36 and 40.**

**Answer**: Option C

**Explanation**:

2 | 24 – 36 – 40

——————–

2 | 12 – 18 – 20

——————–

2 | 6 – 9 – 10

——————-

3 | 3 – 9 – 5

——————-

| 1 – 3 – 5

L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.

**18. The true discount on a bill of Rs. 540 is Rs. 90. The banker’s discount is:**

**Answer**: Option B

**Explanation**:

P.W. = Rs. (540 – 90) = Rs. 450.

S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs. (\(\frac{90}{450}\)) x 540 = Rs. 108.

B.D. = Rs. 108.

Compound Interest

\(1600 \times (1 + \frac{5}{2 \times100})^{2}\)**19. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:**

**Answer**: Option D

**Explanation**:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs. \(100 \times (1 + \frac{3}{100})^{2} \)

Effective rate = (106.09 – 100)% = 6.09%

**20. A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?**

**Answer**: Option C

**Explanation**:

Area of the field = 680 sq. feet.

Length of the adjacent sides are

20 feet and (\(\frac{680}{20}\)) = 34 feet.

Required length of the fencing = 20 + 34+ 34 = 88 feet

**21. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?**

**Answer**: Option C

**Explanation**:

A’s 1 hour’s work = (\(\frac{1}{4}\))

(B + C)’s 1 hour’s work = (\(\frac{1}{3}\))

(A + C)’s 1 hour’s work = (\(\frac{1}{2}\))

(A + B + C)’s 1 hour’s work = (\(\frac{1}{4}\) + \(\frac{1}{3}\)) = (\(\frac{7}{12}\))

B’s 1 hour’s work = (\(\frac{7}{12}\) – \(\frac{1}{2}\)) = (\(\frac{1}{12}\))

Therefore B alone will take 12 hours to do the work.

**22. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.**

**Answer**: Option B

**Explanation**:

By the rule of allegation:

Required ratio = 60 : 90 = 2 : 3.

**23. 617 + 6.017 + 0.617 + 6.0017 = ?**

**Answer**: Option C

**Explanation**:

617.00

6.017

0.617

+ 6.0017

——–

629.6357

———

**24. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?**

**B.** \(\frac{2}{5}\)

**C.** \(\frac{2}{7}\)

**
D.** \(\frac{5}{7}\)

**Answer**: Option C

**Explanation**:

P (getting a prize) = \(\frac{10}{10 + 25}\) = \(\frac{10}{35}\) = \(\frac{2}{7}\).

**25. 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 are Rs. 5200. The monthly income of P is:**

**Answer**: Option B

**Explanation**:

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 …. (i)

Q + R = (6250 x 2) = 12500 …. (ii)

P + R = (5200 x 2) = 10400 …. (iii)

Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 …. (iv)

Subtracting (ii) from (iv), we get P = 4000.

P’s monthly income = Rs. 4000.

**26. A man invested Rs. 1552 in stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:**

**Answer**: Option B

**Explanation**:

By investing Rs. 1552, income = Rs. 128.

By investing Rs. 97, income = Rs. (\(\frac{128}{1552}\) x 97 ) = Rs. 8.

Dividend = 8%

**3. The square root of 64009 is:**

- A. 253

B. 347

C. 363

D. 803

**Answer**: Option A

**Explanation**:

2|64009( 253

|4

|———-

45|240

|225

|———-

503| 1509

| 1509

|———-

| X

|———-

\(\sqrt{64009}\) = 253.

**27. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:**

**Answer**: Option D

**Explanation**:

Let the son’s present age be x years. Then, man’s present age = (x + 24) years.

(x + 24) + 2 = 2(x + 2)

x + 26 = 2x + 4

x = 22.

**28. Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?**

**Answer**: Option D

**Explanation**:

Let Rahul’s age be x years.

Then, Sachin’s age = (x – 7) years.

\(\frac {x – 7}{x}\) = \(\frac {7}{9}\)

9x – 63 = 7x

2x = 63

x = 31.5

Hence, Sachin’s age =(x – 7) = 24.5 years.

**29. The least perfect square, which is divisible by each of 21, 36 and 66 is:**

**Answer**: Option A

**Explanation**:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2\(^{2}\) x 3\(^{2}\) x 7\(^{2}\) x 11\(^{2}\)= 213444

**30. The cost price of a Rs. 100 stock at 4 discount, when brokerage is\(\frac {1}{4}\)% is:**

**Answer**: Option C

**Explanation**:

C.P. = Rs. (100 – 4 + \(\frac {1}{4}\))= Rs. 96.25

**31. In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?**

**Answer**: Option A

**Explanation**:

Let Arun’s weight by X kg.

According to Arun, 65 < X < 72

According to Arun's brother, 60 < X < 70.

According to Arun's mother, X <= 68

The values satisfying all the above conditions are 66, 67 and 68.

Required average = \(\frac {66 + 67 + 68}{3}\) = \(\frac {201}{3}\) = 67 kg.

**32. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?**

**Answer**: Option B

**Explanation**:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = \(\frac {12}{52}\) = \(\frac {3}{13}\).

**33. Which of the following is equal to 3.14 x 10\(^{6}\) ?**

**Answer**: Option C

**Explanation**:

3.14 x 10\(^{6}\) = 3.14 x 1000000 = 3140000.

**34. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?**

**Answer**: Option B

**Explanation**:

Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y.

Then, 4x + 6y = \(\frac {1}{8}\) and 3x + 7y = \(\frac {1}{10}\).

Solving the two equations, we get: x = \(\frac {11}{400}\) , y = \(\frac {1}{400}\)

1 woman’s 1 day’s work = \(\frac {1}{400}\) .

10 women’s 1 day’s work = (\(\frac {1}{400}\) x 10) = \(\frac {1}{40}\) .

Hence, 10 women will complete the work in = 40 days.

**35. A boat having a length of 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:**

**Answer**: Option B

**Explanation**:

Volume of water displaced = (3 x 2 x 0.01) m\(^{3}\)

= 0.06 m\(^{3}\).

Mass of man = Volume of water displaced x Density of water

= (0.06 x 1000) kg

= 60 kg.

**36. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:**

**Answer**: Option D

**Explanation**:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs. (100 x (1 + \(\frac {3}{100})^{2}\)) = Rs. 106.09

Effective rate = (106.09 – 100)% = 6.09%

**37. The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker’s discount is:**

**Answer**: Option B

**Explanation**:

B.G. =\(\frac {(T.D.)^{2}}{P.W.}\) = Rs.\(\frac {36 \times 36}{800}\)= Rs. 1.62

B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62

**38. The sum of the three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5: 8, then the second number is:**

**Answer**: Option B

**Explanation**:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = (5 x \(\frac {3}{5}\)) : (8 x \(\frac {3}{5}\)) = 3 : \(\frac {24}{5}\)

A : B : C = 2 : 3 : \(\frac {24}{5}\) = 10 : 15 : 24

B = (98 x \(\frac {15}{49}\)) = 30.

**39. A began a business with Rs. 85,000. He was joined afterward by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3: 1?**

**Answer**: Option D

**Explanation**:

Suppose B joined for x months. Then,

Then, \(\frac {85000 \times 12 }{42500 \times x}\) = \(\frac {3}{1}\)

x = \(\frac {85000 \times 12 }{42500 \times 3}\) = 8.

So, B joined for 8 months.

**40. How many 3 digit numbers are divisible by 6 in all?**

**Answer**: Option B

**Explanation**:

Required numbers are 102, 108, 114, … , 996

This is an A.P. in which a = 102, d = 6 and l = 996

Let the number of terms be n. Then,

a + (n – 1)d = 996

102 + (n – 1) x 6 = 996

6 x (n – 1) = 894

(n – 1) = 149

n = 150.

**41. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along with the current in 10 minutes. How long will it take to go 5 km in stationary water?**

**Answer**: Option C

**Explanation**:

Rate downstream = \(\frac {1}{10}\) x 60 km/hr = 6 km/hr.

Rate upstream = 2 km/hr.

Speed in still water = \(\frac {1}{2}\) (6 + 2) km/hr = 4 km/hr.

Required time = \(\frac {5}{4}\)hrs = 1 \(\frac {1}{4}\) hrs = 1 hr 15 min.

**42. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?**

**Answer**: Option D

**Explanation**:

Part filled in 4 minutes = 4 (\(\frac {1}{15}\) + \(\frac {1}{20}\)) = \(\frac {7}{15}\).

Remaining part = (1 – \(\frac {7}{15}\)) = \(\frac {8}{15}\).

Part filled by B in 1 minute = \(\frac {1}{20}\)

\(\frac {1}{20}\) : \(\frac {8}{15}\) :: 1 : x

x = (\(\frac {8}{15} \times 1 \times 20\)) = 10 \(\frac {2}{3}\)min = 10 min. 40 sec.

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.

**43. (17)\(^{3.5}\) x (17)\(^{?}\) = 17\(^{8}\)**

**Answer**: Option D

**Explanation**:

Let (17)\(^{3.5}\) x (17)\(^{x}\) = 17\(^{8}\)x.

Then, (17)\(^{3.5}\) + x = 17\(^{8}\).

3.5 + x = 8

x = (8 – 3.5)

x = 4.5

**44. In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?**

**Answer**: Option C

**Explanation**:

In the word ‘MATHEMATICS’, we treat the vowels AEAI as one letter.

Thus, we have MTHMTCS (AEAI).

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

A number of ways of arranging these letters = \(\frac {8!}{(2!)(2!)}\) = 10080.

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

A number of ways of arranging these letters = \(\frac {4!}{2!}\) = 12.

Required number of words = (10080 x 12) = 120960.

**45. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?**

**Answer**: Option B

**Explanation**:

There is a meal for 200 children. 150 children have taken the meal.

The remaining meal is to be catered to 50 children.

Now, 200 children = 120 men.

50 children = \(\frac {120}{200}\) x 50 = 30 men.

**46. A farmer traveled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance traveled on foot is:**

C. 16 km

**Answer**: Option C

**Explanation**:

Let the distance traveled on foot be x km.

Then, distance travelled on bicycle = (61 -x) km.

So, \(\frac {x}{4}\) + \(\frac {(61 -x)}{9}\) = 9

9x + 4(61 -x) = 9 x 36

5x = 80

x = 16 km.

**47. A fires 5 shots to B’s 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:**

**Answer**: Option A

**Explanation**:

Let the total number of shots be x. Then,

Shots fired by A = \(\frac {5}{8}\)x

Shots fired by B = \(\frac {3}{8}\)x

Killing shots by A = \(\frac {1}{3}\) of \(\frac {5}{8}\) x = \(\frac {5}{24}\)x

Shots missed by B = \(\frac {1}{2}\) of \(\frac {3}{8}\) x = \(\frac {3}{16}\)x

\(\frac {3 \times x}{16}\) = 27 or x = \(\frac {27 \times 16}{3}\) = 144.

Birds killed by A = \(\frac {5x}{24}\) = \(\frac {5}{24}\) x 144 = 30.

**48. A can run 22.5 m while B runs 25 m. In a kilometer race, B beats A by:**

**Answer**: Option A

**Explanation**:

When B runs 25 m, A runs \(\frac {45}{2}\) m.

When B runs 1000 m, A runs (\(\frac {45}{2}\) x \(\frac {1}{25}\) x 1000) m = 900 m.

B beats A by 100 m.

**49. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:**

**Answer**: Option B

**Explanation**:

\(log_{10}\) 5 + \(log_{10}\) (5x + 1) = \(log_{10}\) (x + 5) + 1

\(log_{10}\) 5 + \(log_{10}\) (5x + 1) = \(log_{10}\) (x + 5) + \(log_{10}\) 10

\(log_{10}\) [5 (5x + 1)] = \(log_{10}\) [10(x + 5)]

5(5x + 1) = 10(x + 5)

5x + 1 = 2x + 10

3x = 9

x = 3.

**50. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:**

**Answer**: Option C

**Explanation**:

2(15 + 12) x h = 2(15 x 12)

h = \(\frac{180}{27}\) m = \(\frac{20}{3}\) m.

Volume = (\({15 \times 12 \times \frac {20}{3}}\)) m\(^{3}\) = 1200 m\(^{3}\).