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TANCET MBA practice questions

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Question 1Reading Comprehension and Verbal Ability

A TANCET RC passage states: 'The committee's report was lauded for its candour, though critics noted that such frankness rarely survives the drafting of a final policy.' In this context, 'candour' most nearly means:

  1. Formal secrecy
  2. Honesty of expression Correct answer.
  3. Ornate decoration
  4. Cautious delay

Explanation

The sentence pairs 'candour' with 'frankness', signalling openness and honesty in speech. The contrast with what 'rarely survives' policy drafting confirms the sense of plain, unreserved truth-telling rather than ornament or concealment.

Question 2Reading Comprehension and Verbal Ability

Choose the word that best completes the sentence: 'The auditor's findings were so ______ that even the board, long accustomed to glossing over irregularities, could not ignore them.'

  1. damning Correct answer.
  2. negligible
  3. ornamental
  4. tentative

Explanation

The clause 'even the board ... could not ignore them' requires a strong negative word describing damaging findings. 'Damning' conveys conclusive and condemnatory evidence, which fits the contrast with a board used to ignoring problems.

Question 3Reading Comprehension and Verbal Ability

In the sentence 'Having submitted the tender before the deadline, the contractor expected a smooth evaluation,' the underlined opening phrase functions grammatically as:

  1. An independent clause
  2. A prepositional phrase modifying 'deadline'
  3. A participial phrase modifying 'the contractor' Correct answer.
  4. A noun clause acting as subject

Explanation

The phrase begins with the participle 'Having submitted' and has no finite verb of its own, so it is a participial (perfect participle) phrase. Its implied subject is 'the contractor', the noun immediately following the comma, which it modifies.

Question 4Reading Comprehension and Verbal Ability

A passage argues: 'Microfinance was sold as a cure for rural poverty; a decade of data, however, shows repayment discipline more often than enterprise growth.' The author's attitude towards the original claim is best described as:

  1. Complete indifference
  2. Qualified scepticism Correct answer.
  3. Open hostility
  4. Wholehearted endorsement

Explanation

The author sets the promotional claim against contrary evidence ('however, shows...'), which signals doubt rather than outright rejection. 'Qualified scepticism' captures this measured challenge, since the author reports a specific empirical shortfall without declaring the idea worthless.

Question 5Reading Comprehension and Verbal Ability

Select the correctly formed sentence for a formal TANCET-style paragraph on urban transport.

  1. Neither the buses nor the metro has kept pace with the city's growth. Correct answer.
  2. Neither the buses nor the metro having kept pace with the city's growth.
  3. Neither the buses or the metro has kept pace with the city's growth.
  4. Neither the buses nor the metro have kept pace with the city's growth.

Explanation

With 'neither ... nor', the verb agrees with the nearer subject; 'the metro' is singular, so 'has' is correct. The correlative pair must also be 'neither ... nor', which only the first option supplies alongside a finite verb.

Question 6Reading Comprehension and Verbal Ability

The word 'ephemeral' in the phrase 'the ephemeral popularity of viral campaigns' is closest in meaning to:

  1. Controversial
  2. Widespread
  3. Short-lived Correct answer.
  4. Enduring

Explanation

'Ephemeral' describes something lasting only a very short time, so 'short-lived' is the direct synonym. The context of viral campaigns, whose fame fades quickly, reinforces this temporal sense.

Question 7Reading Comprehension and Verbal Ability

A passage notes: 'The museum's new wing is impressive in scale, but its galleries feel like corridors to somewhere else.' The writer's criticism is that the wing:

  1. Houses too few artefacts
  2. Copies an older design
  3. Feels transitional rather than purposeful Correct answer.
  4. Lacks adequate funding

Explanation

The simile 'like corridors to somewhere else' implies the galleries feel like passages rather than destinations. The criticism is therefore about a sense of transition without purpose, not about money, collection size, or originality.

Question 8Reading Comprehension and Verbal Ability

Choose the option that best replaces the underlined part to make the sentence precise: 'The new policy will impact on the way employees are appraised.'

  1. will have an impact on the way
  2. will impact the way Correct answer.
  3. will be impacting on the way
  4. will impact on the manner in which

Explanation

'Impact' works as a transitive verb meaning 'to affect', so 'will impact the way' is concise and standard in edited prose. The preposition 'on' is redundant when impact is used as a verb, and the progressive 'be impacting' is unnecessarily wordy.

Question 9Reading Comprehension and Verbal Ability

Read the argument: 'Every applicant who scored above 90 in the written test was called for the interview. Ravi was called for the interview. Therefore Ravi scored above 90.' The reasoning is flawed because it:

  1. Assumes a condition sufficient for an outcome is also necessary Correct answer.
  2. Attacks the person rather than the argument
  3. Uses a sample too small to generalise
  4. Confuses correlation with causation

Explanation

The premise says high scorers were interviewed, making a high score sufficient for an interview call. The conclusion treats that as necessary, ignoring others who might also have been called, which is the fallacy of affirming the consequent.

Question 10Reading Comprehension and Verbal Ability

A passage claims: 'Cities that invested in cycle lanes report fewer traffic injuries, yet the decline began before most lanes opened.' The author includes the second clause mainly to:

  1. Recommend delaying all lane construction
  2. Show that injuries are unrelated to traffic
  3. Prove that cycle lanes are useless
  4. Suggest the injury decline may have other causes Correct answer.

Explanation

The timing detail weakens a simple causal reading of the first clause without denying the correlation. By noting the decline predates the lanes, the author invites alternative explanations, which is a caution about causation rather than a dismissal.

Question 11Reading Comprehension and Verbal Ability

Identify the sentence that uses the semicolon correctly in an academic paragraph.

  1. The survey response rate was low; because the sample remained representative.
  2. The survey response rate was low; the sample, however representative.
  3. The survey response rate was low; however, the sample remained representative. Correct answer.
  4. The survey response rate was low; and the sample remained representative.

Explanation

A semicolon may join two independent clauses, and here it precedes the conjunctive adverb 'however', which is correctly followed by a comma. The other options place a coordinating or subordinating conjunction after the semicolon or leave an incomplete clause.

Question 12Reading Comprehension and Verbal Ability

A passage states: 'The novelist's later work is often called sparse, but sparseness here is a technique of accumulation: each withheld detail forces the reader to supply what the earlier, crowded novels once stated outright.' The author implies that the later novels:

  1. Abandon narrative technique altogether
  2. Were written hastily and carelessly
  3. Demand more interpretive work from readers Correct answer.
  4. Contain fewer ideas than the earlier ones

Explanation

The phrase 'forces the reader to supply what the earlier ... novels once stated outright' indicates greater reader involvement. 'Sparseness as a technique of accumulation' means the effect is deliberate and demanding, not a sign of thinness or haste.

Question 13Reading Comprehension and Verbal Ability

Choose the pair of words that best completes the sentence: 'Her argument was ______ in its logic yet ______ in its tone, persuading even those who disagreed.'

  1. rigorous ... conciliatory Correct answer.
  2. redundant ... neutral
  3. flawed ... harsh
  4. vague ... aggressive

Explanation

The clause 'persuading even those who disagreed' requires strong logic and an agreeable manner. 'Rigorous' supplies sound reasoning, and 'conciliatory' supplies the mild tone that could win over opponents.

Question 14Reading Comprehension and Verbal Ability

In the sentence 'The report, which the minister had commissioned and then disowned, leaked to the press,' the relative clause is:

  1. A noun clause serving as the object of 'leaked'
  2. Non-restrictive, because it is set off by commas and adds information Correct answer.
  3. Restrictive, because it identifies which report
  4. An adverbial clause of reason

Explanation

The clause is enclosed in commas, marking it as non-restrictive: it adds extra information about an already identified report. A restrictive clause would appear without commas and would be essential to identifying the noun.

Question 15Reading Comprehension and Verbal Ability

A passage observes: 'Scholarship on the region has long treated oral testimony as colourful anecdote; a new generation of historians, however, treats it as evidence requiring the same scrutiny as documents.' The contrast drawn is between:

  1. Old historians and young historians as people
  2. Anecdote and fiction as literary genres
  3. Dismissal and methodological incorporation of oral sources Correct answer.
  4. Written records and printed books

Explanation

The contrast is between treating oral testimony as mere colour and treating it as evidence subject to rigorous scrutiny. That is a shift from dismissal to methodological incorporation, not a contrast between persons or media formats.

Question 16Reading Comprehension and Verbal Ability

Which sentence best avoids a dangling modifier?

  1. Walking through the exhibition, it impressed the visitors.
  2. Walking through the exhibition, the paintings impressed the visitors.
  3. Walking through the exhibition, the visitors were impressed by the paintings. Correct answer.
  4. Walking through the exhibition, the paintings were impressive to visitors.

Explanation

An introductory participial phrase must modify the subject of the main clause. Only the second sentence makes 'the visitors' the subject, so they are the ones walking through the exhibition.

Question 17Reading Comprehension and Verbal Ability

A passage argues: 'Standardised tests measure test-taking skill as much as subject mastery; therefore, universities should weigh them alongside school records rather than instead of them.' The conclusion is best described as:

  1. A claim that school records are unreliable
  2. A defence of test-taking skill as the main criterion
  3. A recommendation for combined rather than sole use of tests Correct answer.
  4. A call to abolish standardised testing

Explanation

The word 'alongside ... rather than instead of' makes the proposal about combining evidence sources. The premise about test-taking skill motivates this moderate conclusion, not abolition or a rejection of school records.

Question 18Reading Comprehension and Verbal Ability

Select the option that correctly completes the sentence with an appropriate idiom: 'The committee's decision to publish the minutes was a ______, since the public had a legal right to them.'

  1. red herring
  2. blessing in disguise
  3. foregone conclusion Correct answer.
  4. moot point

Explanation

'A foregone conclusion' means an outcome that was certain beforehand, which fits a decision required by legal right. The clause explains that publishing was inevitable rather than a surprise or a distraction.

Question 19Reading Comprehension and Verbal Ability

Read the passage: 'The company's annual report boasts of record profits, yet its footnotes reveal that most of the gain came from selling a subsidiary. The board's claim of operational excellence is therefore overstated.' Which assumption does the argument rely on?

  1. Profits from selling assets do not demonstrate operational excellence Correct answer.
  2. Subsidiaries should never be sold by companies
  3. Record profits are undesirable for shareholders
  4. Annual reports are always inaccurate

Explanation

The argument moves from 'the gain came from an asset sale' to 'operational excellence is overstated', which only works if asset-sale gains are not evidence of operational skill. That unstated link is the necessary assumption.

Question 20Reading Comprehension and Verbal Ability

In the sentence 'Neither the reviewers nor the editor was willing to approve the manuscript as it stood,' the verb 'was' is singular because:

  1. The subject nearest the verb is singular Correct answer.
  2. 'Neither' always takes a singular verb regardless of what follows
  3. 'Manuscript' is the subject of the clause
  4. The sentence is in the passive voice

Explanation

When subjects are joined by 'neither ... nor', the verb agrees with the nearer subject, which is the singular 'editor'. Hence the singular 'was' is correct even though the first subject is plural.

Question 21Reading Comprehension and Verbal Ability

A passage states: 'The engineer's memoir is valuable precisely because it refuses to be a memoir: it is a ledger of failures, each recorded with the detachment of an inventory.' The phrase 'refuses to be a memoir' suggests that the book:

  1. Avoids personal or sentimental self-presentation Correct answer.
  2. Contains no reference to the author
  3. Belongs to the genre of accounting
  4. Was never intended for publication

Explanation

The colon explains the paradox: instead of memoir-style reflection, the book offers a detached ledger of failures. 'Refuses to be a memoir' therefore signals resistance to the personal, sentimental mode readers expect.

Question 22Reading Comprehension and Verbal Ability

Choose the sentence that expresses the idea most concisely without changing meaning: 'Due to the fact that the deadline was approaching, the team made the decision to postpone the launch.'

  1. As the deadline approached, the team decided to postpone the launch. Correct answer.
  2. The team made a decision to postpone the launch due to the approaching deadline situation.
  3. Because of the deadline being approached, the team made the decision of postponing the launch.
  4. Owing to the fact that the deadline approached, the team decided to postpone the launch.

Explanation

'As the deadline approached' replaces the wordy 'due to the fact that' and keeps the causal meaning intact. 'Decided' also trims 'made the decision to' without altering sense.

Question 23Reading Comprehension and Verbal Ability

A passage claims: 'Every study linking screen time to poor sleep has relied on self-reported data; until objective measures are used, the link should be treated as suggestive rather than proven.' The author's reasoning depends on the view that:

  1. All studies of sleep are methodologically flawed
  2. Self-reported data are less reliable than objective measures for this question Correct answer.
  3. Objective measures are impossible to obtain
  4. Screen time has no effect on sleep whatsoever

Explanation

The argument downgrades the link because the evidence is self-reported, which only makes sense if self-reports are weaker evidence here than objective measurement. That methodological preference is the unstated premise.

Question 24Reading Comprehension and Verbal Ability

Read the passage: 'Critics who praise the novel for its empathy miss its coldest move: it grants every character a sympathetic motive, then shows how those motives combine into catastrophe. Empathy is the trap, not the lesson.' Which statement best captures the author's point?

  1. The novel's empathy is superficial because its characters lack motives
  2. The critics are right that empathy is the novel's central lesson
  3. The novel uses sympathetic characterisation to expose how good intentions produce harm Correct answer.
  4. The novel fails because it cannot decide whether to be empathetic

Explanation

The author argues that the novel deliberately makes motives sympathetic in order to reveal their catastrophic combination, calling empathy 'the trap'. The point is a strategic use of sympathy to show unintended harm, not a failure or an endorsement of the critics.

Question 25Reading Comprehension and Verbal Ability

A paragraph reads: 'The subsidy was meant to lower prices. Prices did fall, but only in regions where a second supplier already operated. In monopoly regions, prices rose.' Which conclusion is best supported?

  1. The subsidy should be withdrawn immediately
  2. Subsidies always raise prices
  3. The subsidy's effect depended on existing market competition Correct answer.
  4. Second suppliers caused the price increases

Explanation

The evidence shows divergent outcomes tied to whether a second supplier existed, so the effect was conditional on market structure. Any stronger claim about subsidies in general or about immediate withdrawal goes beyond the data.

Question 26Reading Comprehension and Verbal Ability

In the sentence 'The committee, having reviewed the proposal twice, rejected it without discussion,' the phrase 'having reviewed the proposal twice' functions as which grammatical element?

  1. A participial phrase modifying 'The committee' Correct answer.
  2. A reduced adverb clause of condition
  3. A gerund phrase acting as the sentence subject
  4. An absolute phrase modifying the whole clause

Explanation

A present-participial phrase placed before the main clause describes the subject of that clause, here 'The committee'. It is not absolute because an absolute phrase has its own subject ('the committee having reviewed...'), and it is not a gerund phrase because it does not occupy a noun slot.

Question 27Reading Comprehension and Verbal Ability

A TANCET-style passage reads: 'The city's heritage walks were designed to attract tourists, but the guides report that most walkers are residents rediscovering their own neighbourhoods.' Which inference is best supported?

  1. The guides prefer residents to foreign visitors
  2. Tourists have abandoned the city's heritage sites
  3. Heritage walks are unprofitable for the city
  4. The walks have produced an unintended local benefit Correct answer.

Explanation

The passage contrasts the intended audience (tourists) with the actual one (residents), and 'rediscovering' signals a benefit the planners did not anticipate. Nothing in the text speaks to tourist numbers elsewhere, guide preferences, or finances, so those options go beyond the evidence.

Question 28Reading Comprehension and Verbal Ability

Choose the word that best fits the blank: 'The auditor's report was ______: it listed every discrepancy but offered no interpretation of their cause.'

  1. verbose
  2. speculative
  3. factual Correct answer.
  4. partisan

Explanation

The colon introduces an explanation, and listing discrepancies without interpretation describes a report confined to facts. 'Speculative' would mean the opposite, since the report offers no interpretation at all, and 'partisan' and 'verbose' are unsupported by the clause that follows.

Question 29Reading Comprehension and Verbal Ability

Which option best replaces the underlined portion to make the sentence idiomatic: 'The manager insisted to review every invoice personally.'

  1. insisted for reviewing
  2. insisted on reviewing Correct answer.
  3. insisted to reviewing
  4. insisted that reviewing

Explanation

The verb 'insist' takes the preposition 'on' followed by a gerund when the subject of both clauses is the same. 'Insist to' and 'insist for' are not standard collocations, and 'insisted that reviewing' produces an incomplete clause.

Question 30Reading Comprehension and Verbal Ability

Read the argument: 'Only students who submitted the assignment by Friday received feedback. Meera received feedback. Therefore Meera submitted the assignment by Friday.' Which statement about the reasoning is accurate?

  1. It is invalid, because it confuses a necessary condition with a sufficient one in the premise
  2. It is valid only if every student submitted the assignment
  3. It is invalid, because it affirms the consequent Correct answer.
  4. It is valid, because receiving feedback entails timely submission

Explanation

The premise says timely submission is necessary for feedback, so feedback guarantees submission, which makes the inference valid. The option claiming invalidity by affirming the consequent would apply if the conditional ran the other way, from submission to feedback.

Question 31Reading Comprehension and Verbal Ability

A passage states: 'The biographer quotes her subject's letters at length, yet she rarely lets them speak for themselves; each quotation is followed by a paragraph explaining what the letter really meant.' The tone of this observation is best described as:

  1. admiring
  2. indifferent
  3. mildly ironic Correct answer.
  4. hostile

Explanation

The 'yet' sets up a contrast between the apparent respect for the letters and the biographer's habit of overriding them, which produces a wry, mildly ironic observation. The tone is not admiring, and it stops well short of hostility or indifference because the writer has clearly noticed and cared about the pattern.

Question 32Reading Comprehension and Verbal Ability

Which sentence uses the colon correctly in an examination-style paragraph?

  1. The syllabus lists three skills, these are: analysis, inference, and vocabulary.
  2. The syllabus lists three skills: which are analysis, inference, and vocabulary.
  3. The syllabus lists three skills: analysis, inference, and vocabulary. Correct answer.
  4. The syllabus lists: analysis, inference, and vocabulary as key skills.

Explanation

A colon should follow a complete independent clause and introduce what that clause promises, here the list of three skills. Placing the colon after the verb 'lists' separates it from its object, and a colon should not be followed by a relative clause beginning 'which'.

Question 33Reading Comprehension and Verbal Ability

Choose the pair that best completes the sentence: 'The proposal was ______ in ambition but ______ in detail, leaving reviewers uncertain whether to praise or reject it.'

  1. modest; meticulous
  2. grand; sketchy Correct answer.
  3. bold; exhaustive
  4. narrow; precise

Explanation

The second clause says reviewers are torn, so the two blanks must contrast: large ambition against thin detail. 'Grand; sketchy' supplies that contrast, while the other pairs either match each other or describe a proposal that would invite a clear verdict rather than uncertainty.

Question 34Reading Comprehension and Verbal Ability

A passage argues: 'Reading speed is often treated as the mark of a good reader, but comprehension tests show that readers who slow down at difficult passages recall more than those who race through them.' The argument's main point is that:

  1. all fast readers comprehend less than slow readers
  2. difficult passages should be removed from tests
  3. speed and comprehension can pull in opposite directions Correct answer.
  4. comprehension tests are unreliable measures of reading

Explanation

The passage contrasts the reputation of speed with evidence that pausing aids recall, so its point is that the two qualities are not always aligned. It does not attack comprehension tests, and the comparison is between groups at difficult passages, not a universal claim about every fast reader.

Question 35Reading Comprehension and Verbal Ability

Identify the sentence in which the modifier is placed so that its meaning is clear.

  1. Covered in dust after the excavation, the catalogue was completed by the archaeologist.
  2. Covered in dust after the excavation, the archaeologist catalogued the pottery.
  3. The archaeologist catalogued the pottery, which was covered in dust after the excavation. Correct answer.
  4. The pottery was catalogued by the archaeologist covered in dust after the excavation.

Explanation

A modifier should sit next to the element it describes, so the dust-covered pottery must be adjacent to the clause describing the pottery. The other options attach 'covered in dust' to the archaeologist or the catalogue, producing an absurd or ambiguous reading.

Question 36Reading Comprehension and Verbal Ability

A passage observes: 'The novel's narrator reports events he could not have witnessed, and the text never flags these moments as errors. Critics who call the narrator unreliable therefore explain more than the novel asks them to.' The passage suggests that the label 'unreliable narrator' is:

  1. an over-reading of deliberate gaps Correct answer.
  2. proof of the author's carelessness
  3. a term the narrator applies to himself
  4. essential to understanding the novel

Explanation

The final sentence criticises critics for explaining more than the text demands, which frames 'unreliable narrator' as an interpretation imposed on deliberate gaps. The passage does not endorse the label, call the gaps errors, or mention self-description by the narrator.

Question 37Reading Comprehension and Verbal Ability

Which option best replaces the underlined portion so that the sentence is concise and grammatical: 'Owing to the fact that the deadline was extended, the team was able to revise the manuscript.'

  1. In view of the fact of the deadline being extended
  2. On account of the extension of the deadline occurring
  3. Due to the deadline having been extended
  4. Because the deadline was extended Correct answer.

Explanation

'Because' replaces the wordy 'owing to the fact that' with a single conjunction and keeps the cause-effect relation intact. The other options merely rephrase the padding or introduce awkward participial constructions without gaining precision.

Question 38Reading Comprehension and Verbal Ability

A passage claims: 'Every study linking open-plan offices to lower productivity has relied on employee self-reports; until output is measured directly, the claim that layout causes distraction remains unproven.' Which assumption does the argument depend on?

  1. Output can never be measured in office settings
  2. Employees prefer closed offices to open-plan ones
  3. Open-plan offices are more common than closed offices
  4. Self-reports cannot provide reliable evidence about productivity Correct answer.

Explanation

The argument dismisses the existing evidence because of its method, which only works if self-reports are treated as inadequate for measuring productivity. The other options concern office prevalence or preferences, which play no role, or deny the very measurement the conclusion calls for.

Question 39Reading Comprehension and Verbal Ability

Read the paragraph: 'The subsidy was meant to lower prices. Prices did fall, but only in regions where a second supplier had recently entered the market. In regions with a single supplier, prices were unchanged despite the subsidy.' Which conclusion is best supported?

  1. The subsidy caused the entry of second suppliers
  2. Single-supplier regions received less subsidy money
  3. The subsidy lowered prices wherever it was applied
  4. Competition, rather than the subsidy, drove the price fall Correct answer.

Explanation

The price drop coincides with new entrants and is absent where no competitor appeared, which points to competition as the operative cause. The passage never says subsidy amounts differed by region, so the final option is unsupported, and the first two options contradict the stated pattern.

Question 40Reading Comprehension and Verbal Ability

A passage states: 'The engineer's memoir is valuable precisely because it refuses to be a memoir: it is a ledger of failures, each recorded without excuse or embellishment.' The phrase 'refuses to be a memoir' most nearly means that the book:

  1. declines the conventions expected of the genre Correct answer.
  2. was published against the author's wishes
  3. is written in an impersonal technical register
  4. contains no personal recollections at all

Explanation

The colon explains the phrase by describing a ledger of failures without embellishment, which departs from the usual self-shaping of memoir. The book plainly contains personal material, so denying recollection misreads the sentence, and no claim about publication or pure technicality is made.

Question 41Quantitative Aptitude

A trader marks a shirt at ₹800 and offers a discount of 15% on the marked price. What is the selling price of the shirt?

  1. ₹720
  2. ₹700
  3. ₹680 Correct answer.
  4. ₹740

Explanation

Discount is calculated on the marked price, so the reduction is 15% of 800, which equals 120. Subtracting this from 800 gives a selling price of 680 rupees.

Question 42Quantitative Aptitude

The average of five consecutive even integers is 32. What is the largest of these integers?

  1. 38
  2. 36 Correct answer.
  3. 34
  4. 40

Explanation

For an odd count of consecutive even integers, the average equals the middle term, so the middle integer is 32. The two terms above it are 34 and 36, making 36 the largest.

Question 43Quantitative Aptitude

A sum of money doubles itself in 8 years under simple interest. In how many years will it become four times itself at the same rate?

  1. 20 years
  2. 24 years Correct answer.
  3. 16 years
  4. 32 years

Explanation

Doubling means the interest earned equals the principal, so 8 years of interest equals one principal. To become four times, the interest must equal three principals, requiring 3 × 8 = 24 years.

Question 44Quantitative Aptitude

A pipe fills a tank in 12 hours and a second pipe fills it in 18 hours. If both pipes are opened together, in how many hours will the tank be filled?

  1. 6.0 hours
  2. 9.0 hours
  3. 7.5 hours
  4. 7.2 hours Correct answer.

Explanation

The first pipe fills 1/12 of the tank per hour and the second 1/18, giving a combined rate of 5/36 per hour. The time required is the reciprocal, 36/5 = 7.2 hours.

Question 45Quantitative Aptitude

A train 150 metres long crosses a pole in 9 seconds. What is the speed of the train in km/h?

  1. 60 km/h Correct answer.
  2. 66 km/h
  3. 50 km/h
  4. 54 km/h

Explanation

Crossing a pole means the train covers its own length, so speed is 150/9 metres per second. Converting by multiplying by 18/5 gives 60 km/h.

Question 46Quantitative Aptitude

In how many distinct ways can the letters of the word 'LEVEL' be arranged?

  1. 60
  2. 20
  3. 30 Correct answer.
  4. 40

Explanation

The word has 5 letters with L repeated twice and E repeated twice. The number of arrangements is 5!/(2! × 2!) = 120/4 = 30.

Question 47Quantitative Aptitude

Two dice are rolled together. What is the probability that the sum of the numbers shown is 9?

  1. 5/36
  2. 1/12
  3. 1/9 Correct answer.
  4. 1/6

Explanation

There are 36 equally likely outcomes. Sums of 9 arise from (3,6), (4,5), (5,4) and (6,3), four outcomes, giving 4/36 = 1/9.

Question 48Quantitative Aptitude

If 3x + 5y = 31 and 2x + 3y = 19, what is the value of x + y?

  1. 8
  2. 6
  3. 5
  4. 7 Correct answer.

Explanation

Solving gives x = 2 and y = 5: check 3(2)+5(5)=31 and 2(2)+3(5)=19. Therefore x + y = 7.

Question 49Quantitative Aptitude

The compound interest on ₹10,000 for 2 years at 10% per annum, compounded annually, is

  1. ₹2,310
  2. ₹2,000
  3. ₹2,200
  4. ₹2,100 Correct answer.

Explanation

The amount after two years is 10000 × (1.1)² = 12100. Compound interest is the amount minus the principal, giving 2100 rupees.

Question 50Quantitative Aptitude

A shopkeeper sells an article for ₹540 at a loss of 10%. What was the cost price of the article?

  1. ₹594
  2. ₹640
  3. ₹600 Correct answer.
  4. ₹610

Explanation

A 10% loss means the selling price is 90% of the cost price. Dividing 540 by 0.9 gives a cost price of 600 rupees.