Q 1.1 [2010 : 1 Mark]
Question: Which of the following options is the closest in meaning to the word below? Circuitous (a) Cyclic (b) Indirect (c) Confusing (d) Crooked
Answer: (b) Indirect
Reason: Circuitous matlab seedha rasta nahi, ghoom ke jana.
Q 1.2 [2010 : 1 Mark]
Question: The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair. Unemployed:Worker (a) Fallow:Land (b) Unaware:Sleeper (c) Wit:Jester (d) Renovated:House
Answer: (a) Fallow:Land
Reason: Worker jab kaam nahi karta to Unemployed, waise Land par kheti na ho to Fallow.
Q 1.3 [2010 : 1 Mark]
Question: Choose the most appropriate word to complete the following sentence: If we manage to ……………. our natural resources, we would leave a better planet for our children. (a) uphold (b) restrain (c) cherish (d) conserve
Answer: (d) conserve
Reason: Natural resources ko bachana conserve kehlata hai.
Q 1.4 [2010 : 1 Mark]
Question: Choose the most appropriate word to complete the following sentence: His rather casual remarks on politics ……. his lack of seriousness about the subject. (a) masked (b) belied (c) betrayed (d) suppressed
Answer: (c) betrayed
Reason: betrayed ka matlab hai anjane me apna sach dikha dena.
Q 1.5 [2010 : 1 Mark]
Question: 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is (a) 2 (b) 17 (c) 13 (d) 3
Answer: (d) 3
Reason: n(H U F) = 15+17-10=22. Neither = 25-22=3.
Q 1.6 [2010 : 2 Marks]
Question: Modern warfare has changed from large scale clashes of armies to suppression of civilian populations. Chemical agents that do their work silently appear to be suited to such warfare; and regretfully, there exist people in military establishments who think that chemical agents are useful foils for their cause. Which of the following statements best sums up the meaning of the above passage? (a) Modern warfare has resulted in civil strife. (b) Chemical agents are useful in modern warfare. (c) Use of chemical agents in warfare would be undesirable (d) People in military establishments like to use chemical agents in war.
Answer: (c) Use of chemical agents in warfare would be undesirable
Reason: Passage me ‘regretfully’ word se clear hai writer chemical weapons ke against hai.
Q 1.7 [2010 : 2 Marks]
Question: If 137 + 276 = 435 how much is 731 + 672? (a) 534 (b) 1403 (c) 1623 (d) 1531
Answer: (c) 1623
Reason: Ye addition octal (base 8) me hai. Check karne pe 137+276=435 octal me correct hai, to 731+672=1623 aayega.
Q 1.8 [2010 : 2 Marks]
Question: 5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall? (a) 20 days (b) 18 days (c) 16 days (d) 15 days
Answer: (d) 15 days
Reason: 1 day work = 2/(100) + 6/(200) + 5/(300) = 1/15. So total time 15 days.
Q 1.9 [2010 : 2 Marks]
Question: Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed? (a) 50 (b) 51 (c) 52 (d) 54
Answer: (b) 51
Reason: >3000 matlab first digit 3 ya 4 ho sakta hai. Repetition limit (2 ki 2, 3 ki 3, 4 ki 4) se count karne pe 51 distinct bante hai.
Q 1.10 [2010 : 2 Marks]
Question1.10: Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings. All were born on 1st January. The age difference between any two successive siblings is less than 3 years. Given facts, find order oldest to youngest.
Answer: S G H I
Reason: Facts: G-S diff 1, G not oldest, S not youngest, and H+G > I+S. Ye sab SGHI order me satisfy hota hai with diff <3.
[2011 : 1 Mark]
Question1.11: Which of the following options is the closest in meaning to the word below: Inexplicable
Options: (a) Incomprehensible (b) Indelible (c) Inextricable (d) Infallible
Answer: (a) Incomprehensible
Reason: Inexplicable = jisko explain na kiya ja sake = Incomprehensible.
[2011 : 1 Mark]
Question1.12: If 5 Log(P) = (1/2) Log(Q) = (1/5) Log(R), then which of the following options is TRUE?
Options: (a) P² = Q³R² (b) Q² = PR (c) Q² = R³P (d) R = P²Q²
Answer: (b) Q² = PR
Reason: Let 5logP=0.5logQ=0.2logR=k => logP=k/5, logQ=2k, logR=5k => P=R^(1/25)… simplification se Q²=PR aata hai.
[2011 : 1 Mark]
Question1.13: Choose the most appropriate word(s) to complete the sentence: I contemplated __ Singapore for my vacation but decided against it.
Options: (a) to visit (b) having to visit (c) visiting (d) for a visit
Answer: (c) visiting
Reason: contemplated ke baad gerund (V+ing) aata hai. contemplated visiting.
[2011 : 1 Mark]
Question1.14: Choose the most appropriate word to complete the sentence: If you are trying to make a strong impression on your audience, you cannot do so by being understated, tentative or _.
Options: (a) hyperbolic (b) restrained (c) argumentative (d) indifferent
Answer: (b) restrained
Reason: understated, tentative ka synonym restrained hai. List same tone ki hai.
[2011 : 1 Mark]
Question1.15: Choose the word from the options given below that is most nearly opposite in meaning to the word: Consolidate
Options: (a) … (b) split (c) … (d) separate
Answer: (b) split / (d) separate – split is most opposite
Reason: Consolidate = jodna, opposite = todna = split/separate. GATE official answer split.
[2011 : 2 Marks]
Question1.16: Few school curricula include a unit on how to deal with bereavement and grief, and yet all students at some point in their lives suffer from losses through death and parting. Based on the above passage which topic would not be included in a unit on bereavement?
Options: (a) how to write a letter of condolence (b) what emotional stages are passed through in the healing process (c) what the leading causes of death are (d) how to give support to a grieving friend
Answer: (c) what the leading causes of death are
Reason: Bereavement unit grief handle karna sikhayega, death ke causes nahi.
[2011 : 2 Marks]
Question1.17: P, Q, R and S are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within 24 hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency and growth attributed to a microbe shown in the figure below: [Toxicity Y-axis, Probability X-axis, P(60mm) at 0.5 prob 800 tox, Q(40mm) at 0.4 500, R(30mm) at 0.4 300, S(20mm) at 0.8 300] A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt?
Options: (a) P (b) Q (c) R (d) S
Answer: (d) S (official) – Most dangerous by formula = Prob * Toxicity * Area. S has highest product due to high probability 0.8.
Reason: Danger = Probability * Toxicity * Growth(Area ∝ d²). Calculate: S = 0.8~250314=~62800 highest. Some sources say P but GATE official key me S tha, but logic se P bhi most dangerous maana jata hai due to large growth. As per MADE EASY key: S.
[2011 : 2 Marks]
Question1.18: The variable cost (V) of manufacturing a product varies according to the equation V = 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q. How many units should be produced to minimize the total cost (V + F)?
Options: (a) 5 (b) 4 (c) 7 (d) 6
Answer: (a) 5
Reason: Total C = 4q + 100/q. dC/dq = 4 – 100/q² = 0 => q² = 25 => q=5.
[2011 : 2 Marks]
Question1.19: A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?
Options: (a) 4 (b) 5 (c) 6 (d) 7
Answer: (c) 6
Reason: B+4A=28, B+10A=30 => A=1/3, B=26.66. Total for 5 days=28.33. Trucks=28.33/5=5.66 => Minimum 6.
[2011 : 2 Marks]
Question1.20: A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of water and this process is repeated one more time. How much spirit is now left in the container?
Options: (a) 7.58 litres (b) 7.84 litres (c) 7 litres (d) 7.29 litres
Answer: (d) 7.29 litres
Reason: Left = 10(1-1/10)^3 = 100.9^3 = 7.29L.
[2012 : 1 Mark]
Question1.21: The cost function for a product in a firm is given by 5q^2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
Options: (a) 5 (b) 10 (c) 15 (d) 25
Answer: (a) 5
Reason: Profit=50q-5q^2. dP/dq=0 => 50-10q=0 => q=5.
[2012 : 1 Mark]
Question1.22: Choose the most appropriate alternative to complete the following sentence: Despite several __ the mission succeeded in its attempt to resolve the conflict.
Options: (a) attempts (b) setbacks (c) meetings (d) delegations
Answer: (b) setbacks
Reason: Despite ke baad negative hurdle aayega. Mission setbacks ke bawajood succeed hua.
[2012 : 1 Mark]
Question1.23: Which one of the following options is the closest in meaning to the word given below? Mitigate
Options: (a) Diminish (b) Divulge (c) Dedicate (d) Denote
Answer: (a) Diminish
Reason: Mitigate = severity ko kam karna = Diminish.
[2012 : 1 Mark]
Question1.24: Choose the most appropriate alternative to complete the following sentence: Suresh’s dog is the one __ was hurt in the stampede.
Options: (a) that (b) which (c) who (d) whom
Answer: (a) that
Reason: Dog ke liye restrictive clause me ‘that’ best hai. ‘who/whom’ sirf insaano ke liye use hota hai.
Answer: This country’s expenditure on educational reforms is very less. (4th option jo agle page pe hai)
Reason: ‘very less’ grammatically wrong hai, sahi ‘much less’ ya ‘very little’ hota hai.
[2012 : 1 Mark]
Question1.25: Choose the grammatically INCORRECT sentence:
Options: (a) They gave us the money back less the service charges to Three Hundred rupees. (b) This country’s expenditure is not less than that of Bangladesh. (c) The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. (d) This country’s expenditure on educational reforms is very less.
Answer: (d) This country’s expenditure on educational reforms is very less.
Reason: ‘very less’ is incorrect grammar. Sahi hota hai ‘very little’ ya ‘much less’.
[2012 : 1 Mark]
Question1.26: Choose the most appropriate alternative to complete the sentence: Suresh’s dog is the one __ was hurt in the stampede.
Options: (a) that (b) which (c) who (d) whom
Answer: (a) that
Reason: Dog animal hai, restrictive clause ke liye ‘that’ best hai. who/whom sirf humans ke liye.
[2012 : 2 Marks]
Question1.27: Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?
Options: (a) Gender-discriminatory (b) Xenophobic (c) Not designed to make the post attractive (d) Not gender-discriminatory
Answer: (d) Not gender-discriminatory
Reason: Ad me male/female ka koi mention nahi, only qualification hai. To ye gender biased nahi hai.
[2012 : 2 Marks]
Question1.27: A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1 x^2 where y is the height of the arch in meters. The maximum possible height of the arch is
Options: (a) 8 meters (b) 10 meters (c) 12 meters (d) 14 meters
Answer: (b) 10 meters
Reason: Max ke liye dy/dx=0 => 2-0.2x=0 => x=10. Put in equation y=20-10=10m.
[2012 : 2 Marks]
Question1.28: An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Options: (a) 0.334 (b) 0.666 etc (as per book)
Answer: 0.334
Reason: Bayes Theorem: P(Y|Reliable) = P(R|Y)P(Y) / [P(R|X)P(X)+P(R|Y)P(Y)] = (0.720.4)/(0.960.6+0.72*0.4) = 0.288/0.864 = 1/3 = 0.334.
[2012 : 2 Marks]
Question1.28: An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Options: (a) 0.288 (b) 0.334 (c) 0.667 (d) 0.720
Answer: (b) 0.334
Reason: Bayes: P(Y|Rel) = (0.40.72)/(0.60.96+0.4*0.72) = 0.288/0.864 = 0.333 = 0.334.
[2012 : 2 Marks]
Question1.29: Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
Options: (a) P, Q (b) Q, R (c) P, R (d) R, S
Answer: (c) P, R
Reason: Mean shift hota hai +7 se aur double se double, but Standard Deviation shift se change nahi hota, double se double ho jata hai. Isliye Q galat, S galat. P aur R sahi.
[2012 : 2 Marks]
Question1.30: Given the sequence of terms, AD CG FK JP, the next term is
Options: (a) OV (b) OW (c) PV (d) PW
Answer: (a) OV
Reason: First letter: A (+2)=C (+3)=F (+4)=J (+5)=O. Second letter: D (+3)=G (+4)=K (+5)=P (+6)=V. So next = OV.
[2013 : 1 Mark]
Question1.31: Which one of the following options is the closest in meaning to the word given below? Nadir
Options: (a) Highest (b) Lowest (c) Medium (d) Integration
Answer: (b) Lowest
Reason: Nadir = sabse neeche ka point, lowest. Opposite hai Zenith ka.
[2013 : 1 Mark]
Question1.32: Complete the sentence: Universalism is to particularism as diffuseness is to __.
Options: (a) specificity (b) neutrality (c) generality (d) adaptation
Answer: (a) specificity
Reason: Universalism ka opposite particularism hai, waise hi diffuseness (faily hui) ka opposite specificity (specific) hota hai.
[2013 : 1 Mark]
Question1.33: What will be the maximum sum of 44, 42, 40, …?
Options: (a) 502 (b) 504 (c) 506 (d) 500
Answer: (c) 506
Reason: AP hai 44,42,40… Last positive term tak sum max hoga. 44 to 0 tak 23 terms. Sum = n/2(2a+(n-1)d). n=23 pe sum = 23/2(88-44)=23*22=506.
[2013 : 1 Mark]
Question 1.34: Were you a bird, you __ in the sky.
Options: (a) would fly (b) shall fly (c) should fly (d) shall have flown
Answer: (a) would fly
Reason: Were you a bird = hypothetical conditional. Iske sath would aata hai. ‘If you were…you would fly’.
[2013 : 1 Mark]
Question1.35: Choose the grammatically INCORRECT sentence:
Options: (a) He is of Asian origin. (b) They belonged to Africa (c) She is an European. (d) They migrated from India to Australia.
Answer: (c) She is an European.
Reason: European ka pronunciation ‘Y’ sound se start hota hai (consonant sound). Isliye ‘an’ nahi ‘a’ aayega. Correct hai ‘a European’.