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Question 1English
Select the word that is most nearly the same in meaning as "candid".
- Silent
- Cautious
- Rude
- Frank Correct answer.
Explanation
A synonym is a word with a closely similar meaning. "Candid" describes someone who speaks openly and honestly, which matches "frank". The other choices describe caution, bad manners, or silence, none of which is openness of speech.
Question 2English
Choose the word that is most opposite in meaning to "transparent".
- Clear
- Opaque Correct answer.
- Fragile
- Smooth
Explanation
An antonym expresses a meaning contrary to the given word. "Transparent" means allowing light through so that objects behind can be seen, and "opaque" means light cannot pass through. The other options describe clarity, breakability, or texture and do not form a true contrast.
Question 3English
Choose the correct option: Each of the cadets ______ required to submit a report.
- are
- were
- have
- is Correct answer.
Explanation
"Each" is a singular indefinite pronoun and always takes a singular verb. The plural noun that follows "of" does not change the number of the subject. Therefore the singular verb "is" is required.
Question 4English
Choose the correct option: He is ______ honest officer.
- a
- the
- no article
- an Correct answer.
Explanation
The choice between "a" and "an" depends on the sound that begins the following word, not its spelling. "Honest" begins with a vowel sound because the "h" is silent, so "an" is used. The indefinite article is also correct here because the officer is not a specific one already known to the reader.
Question 5English
Which of the following words is spelled correctly?
- Maintainance
- Maintenanse
- Maintenence
- Maintenance Correct answer.
Explanation
"Maintenance" is formed from the verb "maintain" but drops the "ai" of the stem and keeps the "e" before the final suffix. The standard spelling is therefore m-a-i-n-t-e-n-a-n-c-e. The other versions alter the vowel pattern or the final consonant cluster.
Question 6English
Choose the correct preposition: The aircraft was flying ______ a height of 30,000 feet.
- in
- by
- at Correct answer.
- on
Explanation
The preposition "at" is used with a specific measured level, rate, or point such as a height, temperature, or speed. Fixed collocations include "at a height of", "at a speed of", and "at 30,000 feet". The other prepositions do not combine with "height" in this way.
Question 7English
Choose the correct option: Between you and ______, this plan needs revision.
- we
- me Correct answer.
- mine
- I
Explanation
A pronoun that follows a preposition takes the objective case. "Between" is a preposition, so the objective form "me" is required. "I" and "we" are subjective forms, and "mine" is a possessive form.
Question 8English
Choose the correct option: She ______ in the laboratory when the alarm rang.
- will be working
- was working Correct answer.
- works
- is working
Explanation
The past simple "rang" establishes a past time frame, and the action in progress at that moment requires the past continuous. "Was working" correctly shows an ongoing past action interrupted by another event. The present and future forms do not match the past-time clause.
Question 9English
Choose the correct option: Neither the pilot nor the engineers ______ aware of the fault.
- was
- has been
- is
- were Correct answer.
Explanation
In a "neither ... nor" construction the verb agrees with the subject nearer to it. The nearer subject here is "engineers", which is plural, so the plural past verb "were" is correct. The singular forms would be right only if the nearer subject were singular.
Question 10English
Choose the option that correctly completes the sentence: The engineer's explanation was ______ point and easy to follow.
- to the Correct answer.
- on the
- at the
- in the
Explanation
The fixed expression is "to the point", meaning relevant and concise. Idiomatic expressions use set prepositions that cannot be changed by logic alone. Only "to the" completes the established idiom correctly.
Question 11English
Choose the correct passive form of: "The technician repaired the radar unit."
- The radar unit has repaired by the technician.
- The radar unit was being repaired by the technician.
- The radar unit is repaired by the technician.
- The radar unit was repaired by the technician. Correct answer.
Explanation
When converting a simple past active sentence to the passive, the object becomes the subject and the verb becomes "was/were + past participle". The original tense, simple past, must be preserved. "Was repaired" matches the tense of "repaired" exactly.
Question 12English
Choose the correct indirect speech form: He said, "I am busy now."
- He said that he has been busy then.
- He said that he was busy then. Correct answer.
- He said that he was being busy then.
- He said that he is busy now.
Explanation
In reported speech after a past reporting verb, the present tense shifts back to the past and time words shift accordingly. "Am" becomes "was" and "now" becomes "then". The continuous form "was being" is not used with the stative adjective "busy".
Question 13English
In the phrase "a meticulous inspection", the word "meticulous" most nearly means:
- Highly expensive
- Very hasty
- Rather careless
- Extremely careful Correct answer.
Explanation
Context clues show that "meticulous" describes how an inspection is carried out. The word means showing great attention to detail and precision. Therefore "extremely careful" captures its meaning, while the others describe speed, neglect, or cost.
Question 14English
Complete the analogy: Aircraft : Hangar :: Grain : ______
- Field
- Silo Correct answer.
- Bread
- Farmer
Explanation
The relationship is between an item and the structure in which it is stored or housed. Aircraft are kept in a hangar just as grain is stored in a silo. A field, farmer, or loaf of bread does not name a storage structure.
Question 15English
Choose the correct preposition: All new recruits must abide ______ the rules of the base.
- by Correct answer.
- for
- in
- to
Explanation
"Abide" is followed by the preposition "by" when it means to obey or conform to something. This is a fixed verb-preposition combination that must be learned as a unit. The other prepositions do not form this collocation.
Question 16English
Choose the option that best completes the sentence: His argument was so ______ that even his critics were convinced.
- feeble
- cogent Correct answer.
- vague
- tedious
Explanation
The clause "even his critics were convinced" shows that the argument was strong and persuasive. "Cogent" means clear, logical, and convincing, which fits the result described. The other adjectives describe weak, unclear, or boring arguments, which would not persuade opponents.
Question 17English
Which sentence is punctuated correctly?
- The pilot, a veteran of many missions, remained calm. Correct answer.
- The pilot a veteran of many missions remained calm.
- The pilot, a veteran of many missions remained calm.
- The pilot a veteran of many missions, remained calm.
Explanation
An appositive is a phrase that renames the noun beside it and must be set off by commas on both sides. The phrase "a veteran of many missions" renames "the pilot". Only the first option encloses it with a pair of commas.
Question 18English
Choose the correct option: If the engine ______ overheated, the flight would have been delayed.
- had Correct answer.
- has
- would have
- was
Explanation
This is a third conditional sentence, which describes an unreal past condition and its result. Its pattern is "if + past perfect, would have + past participle". Therefore "had overheated" is required.
Question 19English
Choose the correct word: The new policy will ______ all personnel stationed on the base.
- effect
- affect Correct answer.
- infect
- deflect
Explanation
"Affect" is a verb meaning to influence or have an impact on something. "Effect" is normally a noun meaning a result. Since a verb is needed here with the meaning "influence", "affect" is correct.
Question 20English
Choose the correct option: The squadron, ______ members had trained for months, performed flawlessly.
- which
- who
- that
- whose Correct answer.
Explanation
The relative pronoun must show possession of "members" by the squadron. "Whose" is the possessive relative pronoun and links the squadron to its members. The other relatives cannot express possession.
Question 21English
Which sentence is grammatically correct?
- The officer asked that the report was submitted by noon.
- The officer asked that the report be submitted by noon. Correct answer.
- The officer asked that the report is submitted by noon.
- The officer asked that the report will be submitted by noon.
Explanation
Verbs of ordering or requesting such as "ask that" take the subjunctive mood in the following clause. The subjunctive uses the base form of the verb regardless of tense or subject, so "be submitted" is correct. Indicative forms do not follow this construction.
Question 22English
Choose the best replacement for the quoted part: The proposal was turned down "on account of it lacked" sufficient data.
- because it lacked Correct answer.
- owing to it lacked
- due to it lacked
- for the reason it lacks
Explanation
"Because" is a conjunction and can correctly introduce a full clause with its own subject and verb. "Owing to" and "due to" are prepositional expressions and need a noun phrase, not a clause. Therefore "because it lacked" is the only grammatically sound replacement.
Question 23English
Choose the word that is most nearly opposite in meaning to "ephemeral".
- Enduring Correct answer.
- Transient
- Fragile
- Fleeting
Explanation
"Ephemeral" describes something that lasts for a very short time. Its opposite must describe something long-lasting, which is the meaning of "enduring". The other choices either repeat the idea of brevity or describe a different quality.
Question 24English
Choose the correct option: Hardly had the aircraft landed ______ the emergency crew rushed to the runway.
- then
- than
- that
- when Correct answer.
Explanation
The correlative pattern with a negative adverb at the start is "hardly ... when". When "hardly" begins the sentence, inversion follows, and the second clause is introduced by "when". "Than" pairs with "no sooner", not with "hardly".
Question 25English
Which sentence contains a dangling modifier?
- The engineer signed the logbook after completing the inspection.
- The engineer, having completed the inspection, signed the logbook.
- Having finished the checks, the logbook was signed. Correct answer.
- After completing the inspection, the engineer signed the logbook.
Explanation
An introductory participial phrase must describe the subject of the main clause. In the first sentence the subject is "the logbook", which cannot perform the act of finishing checks, so the modifier dangles. In the other sentences the doer of the action is correctly named as the subject.
Question 26English
Choose the correct option: One of the aircraft's engines ______ replaced during the last inspection.
- were
- are
- have been
- was Correct answer.
Explanation
The grammatical subject of the sentence is the pronoun 'one', which is singular; the phrase 'of the aircraft's engines' is only a prepositional modifier and cannot change the verb's number. The past time marker 'during the last inspection' also requires a past tense.
Question 27English
Choose the correct option: The crew waited nearly ______ hour before the weather cleared.
- the
- no article
- an Correct answer.
- a
Explanation
The indefinite article is chosen by sound, not spelling: 'hour' begins with a vowel sound because the 'h' is silent, so 'an' is required. The noun is being introduced for the first time, which rules out the definite article.
Question 28English
In the sentence 'The briefing was succinct', the word 'succinct' most nearly means:
- lengthy
- confidential
- inaccurate
- brief and clearly expressed Correct answer.
Explanation
'Succinct' describes language that is compressed and clear, conveying much in few words. It refers to economy of expression rather than to accuracy or secrecy.
Question 29English
Choose the word that is most nearly opposite in meaning to 'scarce'.
- rare
- costly
- plentiful Correct answer.
- fragile
Explanation
'Scarce' means available in insufficient quantity, so its antonym must express abundance. 'Plentiful' is the only option that denotes a large, ample supply.
Question 30English
Choose the correct option: The flight engineer is responsible ______ maintaining the aircraft's technical log.
- with
- to
- of
- for Correct answer.
Explanation
The adjective 'responsible' is followed by the fixed preposition 'for' when it introduces the duty someone oversees. This collocation is standard in both general and technical English.
Question 31English
Choose the correct option: By the time the relief crew arrived, the technicians ______ the engine for six hours.
- had been servicing Correct answer.
- were servicing
- serviced
- have serviced
Explanation
The past perfect continuous is used for an action that had been continuing for a stated duration up to a point in the past. 'By the time the relief crew arrived' fixes that end point in the past, and 'for six hours' supplies the duration.
Question 32English
Choose the correct option: The commander insisted that every trainee ______ the full safety briefing before solo flight.
- attended
- attend Correct answer.
- attends
- is attending
Explanation
Verbs of demand, insistence and request (such as 'insist that') take the mandative subjunctive, whose form is the base verb for every subject. The bare 'attend' therefore appears even though the subject 'every trainee' is singular.
Question 33English
Choose the correct option: The engineer ______ designed the fuel system received a commendation.
- who Correct answer.
- whom
- which
- whose
Explanation
A relative pronoun replacing a human subject must be 'who'. In this sentence the engineer is the one who performed the designing, so the nominative form is needed.
Question 34English
Choose the option that best completes the sentence: The duties of the post include inspecting the airframe, ______, and maintaining the records.
- to check the hydraulics
- hydraulics check
- checking the hydraulics Correct answer.
- the hydraulics are checked
Explanation
Items in a series joined to the verb 'include' must share the same grammatical form, and the surrounding items are gerunds ('inspecting', 'maintaining'). A gerund phrase is therefore required for the middle item.
Question 35English
Choose the correct option: ______ the weather improves by dawn, the training sortie will be cancelled.
- Although
- Unless Correct answer.
- Because
- If
Explanation
The main clause states a negative outcome, so the condition must be the non-fulfilment of the improvement. 'Unless' carries the meaning 'if not', which produces the intended logic.
Question 36English
Choose the correct option: The instructor gave the cadets ______ on radio navigation.
- some useful advice Correct answer.
- a useful advice
- useful advices
- many useful advices
Explanation
'Advice' is an uncountable noun in English, so it has no plural form and takes no indefinite article. Quantity is expressed with partitives such as 'some', 'a piece of' or 'a word of'.
Question 37English
The board described the officer's explanation as 'specious'. In this sentence, 'specious' most nearly means:
- thoroughly documented and accurate
- intended to be humorous
- irrelevant to the matter under discussion
- convincing in appearance but faulty in substance Correct answer.
Explanation
'Specious' describes reasoning or statements that look plausible on the surface yet are actually unsound. The word criticises superficial persuasiveness, not accuracy, relevance or tone.
Question 38English
Choose the correct option: Because the budget had not been approved, the committee decided to ______ the proposal for the time being.
- put down
- put across
- put up with
- put off Correct answer.
Explanation
The phrase 'for the time being' signals postponement, and the phrasal verb 'put off' means to delay something to a later time. The other phrasal verbs with 'put' carry unrelated meanings.
Question 39English
Choose the correct option: It was not until the inspection was complete ______ the fault in the hydraulic line was detected.
- then
- when
- that Correct answer.
- which
Explanation
The construction 'It was not until ... that ...' is a fixed cleft pattern used to focus on the time at which something happened. Only 'that' completes this frame; the clause after it is a full statement, not a relative clause.
Question 40English
Choose the correct option: The officer denied ______ the report before the deadline.
- to have submitted
- having submitted Correct answer.
- submit
- to submit
Explanation
The verb 'deny' is followed by a gerund, never by an infinitive. When the denied action happened earlier than the denying, the perfect gerund 'having submitted' makes that sequence explicit.
Question 41Mathematics
The roots of the equation x² − 7x + 12 = 0 are:
- 1 and 12
- −3 and −4
- 3 and 4 Correct answer.
- 2 and 6
Explanation
Factorising requires two numbers whose product is +12 and whose sum is +7; those numbers are 3 and 4, giving (x − 3)(x − 4) = 0 and hence x = 3 or x = 4.
Question 42Mathematics
The value of sin 30° + cos 60° is:
- 1/2
- √2/2
- 1 Correct answer.
- √3/2
Explanation
From the standard table of exact values, sin 30° = 1/2 and cos 60° = 1/2. Adding these gives 1.
Question 43Mathematics
The value of log₁₀ 1000 is:
- 100
- 2
- 3 Correct answer.
- 10
Explanation
By definition, log₁₀ N is the power to which 10 must be raised to give N. Since 10³ = 1000, the logarithm equals 3.
Question 44Mathematics
The 7th term of an arithmetic progression whose first term is 3 and common difference is 4 is:
- 31
- 27 Correct answer.
- 24
- 23
Explanation
The nth term of an arithmetic progression is a + (n − 1)d. Substituting a = 3, d = 4 and n = 7 gives 3 + 6(4) = 27.
Question 45Mathematics
The derivative of sin x with respect to x is:
- −sin x
- −cos x
- cos x Correct answer.
- sin x
Explanation
Differentiating sine gives cosine: d(sin x)/dx = cos x. The minus sign belongs to the derivative of cosine, not sine.
Question 46Mathematics
A fair six-sided die is rolled once. The probability of obtaining an even number is:
- 1/3
- 2/3
- 1/6
- 1/2 Correct answer.
Explanation
The favourable outcomes are 2, 4 and 6, so there are 3 favourable outcomes out of 6 equally likely outcomes. The probability is therefore 3/6 = 1/2.
Question 47Mathematics
The determinant of the matrix [[2, 1], [3, 4]] is:
- 8
- 5 Correct answer.
- 2
- 11
Explanation
For a 2 × 2 matrix [[a, b], [c, d]] the determinant is ad − bc. Here that is (2)(4) − (1)(3) = 8 − 3 = 5.
Question 48Mathematics
The value of i²⁵, where i = √(−1), is:
- 1
- −i
- i Correct answer.
- −1
Explanation
Powers of i repeat in a cycle of length four: i¹ = i, i² = −1, i³ = −i, i⁴ = 1. Since 25 = 4(6) + 1, i²⁵ = i¹ = i.
Question 49Mathematics
If α and β are the roots of 2x² − 5x + 3 = 0, then α² + β² equals:
- 13/4 Correct answer.
- 7/4
- 25/4
- 19/4
Explanation
The sum of roots is α + β = 5/2 and the product is αβ = 3/2. Using α² + β² = (α + β)² − 2αβ gives 25/4 − 3 = 13/4.
Question 50Mathematics
If sin θ = 3/5 and θ lies in the first quadrant, then tan θ equals:
- 3/4 Correct answer.
- 3/5
- 4/3
- 5/3
Explanation
In the first quadrant all ratios are positive, and cos θ = √(1 − 9/25) = 4/5. Then tan θ = sin θ / cos θ = (3/5)/(4/5) = 3/4.