[2014 Set-3 : 2 Marks]
Question: Consider the equation: (7526)8 – (Y)8 = (4364)8, where (X)N stands for X to base N. Find Y. (a)1634 (b)1737 (c)3142 (d)3162
Answer: (c) 3142
Reason: 7526-4364 in base 8 = 3142. In decimal 3926-2292=1634 which is 3142 octal
[2015 Set-1 : 1 Mark]
Question: Didn’t you buy __ when you went shopping? (a) any paper (b) much paper (c) no paper (d) a few paper
Answer: (a) any paper
Reason: In interrogative negative sentences, “any” is used
[2015 Set-1 : 1 Mark]
Question1.70: Which is closest in meaning to sentence below? She enjoyed herself immensely at the party. (a) She had a terrible time (b) She had a horrible time (c) She had a terrific time (d) She had a terrifying time
Answer: (c) She had a terrific time at the party
Reason: Terrific means wonderful, terrible/horrible/terrifying are negative
[2015 Set-1 : 1 Mark]
Question1.71: Given Set A={2,3,4,5} and Set B={11,12,13,14,15}, two numbers randomly selected one from each set. What is probability that sum equals 16? (a)0.20 (b)0.25 (c)0.30 (d)0.33
Answer: (a) 0.20
Reason: Favorable pairs (2,14)(3,13)(4,12)(5,11)=4, total 4*5=20, 4/20=0.20
[2015 Set-1 : 1 Mark]
Question1.72: If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from first floor to second floor? Statements: 1.Each step is 3/4 foot high 2.Each step is 1 foot wide
Answer: (a) Statement 1 alone is sufficient, but statement 2 alone is not sufficient
Reason: Steps = total height / height per step = 9 / (3/4)=12, width not needed
[2015 Set-1 : 1 Mark]
Question1.73: Which one of following combinations is incorrect? (a)Acquiescence-Submission (b)Wheedle-Roundabout (c)Flippancy-Lightness (d)Profligate-Extravagant
Answer: (b) Wheedle – Roundabout
Reason: Acquiescence=Submission correct, Flippancy=Lightness correct, Profligate=Extravagant correct, Wheedle means to flatter/coax, not roundabout
[2015 Set-1 : 2 Marks]
Question1.74: The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. Marks for each question are also listed. There is no negative marking.
Q1 2 marks – 21 correct, 17 wrong, 6 not
Q2 3 marks – 15 correct, 27 wrong, 2 not
Q3 1 mark – 11 correct, 29 wrong, 4 not
Q4 2 marks – 23 correct, 18 wrong, 3 not
Q5 5 marks – 31 correct, 12 wrong, 1 not
What is the average of marks obtained by class? (a)2.290 (b)2.970 (c)6.795 (d)8.795
Answer: (c) 6.795
Reason: Total students = 44, Total marks = 299, Average = 299/44 = 6.795
[2015 Set-1 : 1 Mark]
Question1.75: The chain snatchers took to their heels when the police party arrived.
(a) shelter in jungle (b) open fire (c) took to flight (d) surrendered
Answer: (c) took to flight
Reason: Idiom “took to their heels” = bhaag jana
[2015 Set-1 : 2 Marks]
Question1.76: Statement: Significant drop in water level in lakes supplying water to city. Course of action: 1.Impose partial cut 2.Appeal via mass media 3.Ban supply in lower areas
Answer: Statements 1 and 2 follow
Reason: Partial cut and appeal logical hai, ban extreme hai
[2015 Set-1 : 2 Marks]
Question1.77: Pie chart breakup of students. Electrical 20%, Civil 30%, Mechanical 10%. Ratio male to female in Electrical 5:4. Find diff female Civil vs Mechanical?
Answer: 32
Reason: Electrical female 32, Total 360, Civil female 48, Mechanical female 16, Diff 32
[2015 Set-1 : 2 Marks]
Question1.78: Probabilities that student passes in Maths, Physics, Chemistry are m,p,c. At least one 75%, at least two etc.
Answer: p+m+c = 27/20 and pmc = 1/10
Reason: S1-S2+S3=0.75 solving S3=1/10 and S1=27/20
[2015 Set-1 : 1 Mark]
Question1.79: We _ our friend’s birthday and we _ how to make it up to him.
Answer: (c) completely forgot — just don’t know
Reason: Correct adverb order
[2015 Set-1 : 1 Mark]
Question1.80: Choose where underlined word is used correctly. personnel vs personal
Answer: (c) All personnel are being given the day off
Reason: personnel = staff, personal = private
[2015 Set-2 : 1 Mark]
Question1.81: Consider function f(x)=1-|x| on -1≤x≤1. Value of x at which function attains max and max value are?
(a)0,-1 (b)-1,0 (c)0,1 (d)-1,2
Answer: (c) 0, 1
Reason: |x| minimum 0 at x=0, so f max =1-0=1
[2015 Set-2 : 1 Mark]
Question1.82: A generic term that includes various items of clothing such as skirt, pair of trousers and shirt is (a)fabric (b)textile (c)fibre (d)apparel
Answer: (d) apparel
Reason: Apparel means clothes, fabric/fibre is material
[2015 Set-2 : 1 Mark]
Question1.83: What will be total weight of 10 poles each same weight? Statements: 1. One fourth weight of a pole is 5 Kg. 2. Total weight of these poles is 160 Kg more than total weight of two poles.
Answer: (a) Statement 1 alone sufficient but Statement 2 alone not sufficient (As per official key, logically both alone sufficient)
Reason: St1: W/4=5 => W=20 => 10W=200. St2: 10W=2W+160 => W=20 => 200
[2015 Set-2 : 2 Marks]
Question1.84: If list P,R,S,T,U is AP, which are also in AP? 1. 2P,2R,2S,2T,2U 2. P-3,R-3,S-3,T-3,U-3 3. P^2,R^2,S^2,T^2,U^2
Answer: (b) 1 and 2
Reason: Scaling and shifting preserves AP, squaring does not
[2015 Set-2 : 2 Marks]
Question1.85: Four branches M,N,O,P. M north of N 4km, P south of O 2km, N southeast of O by 1km. What is distance between M and P in km? (a)5.34 (b)6.74 (c)28.5 (d)45.49
Answer: (a) 5.34
Reason: O at 0,0, P at 0,-2, N at 0.707,-0.707, M at 0.707,3.293, MP = sqrt(0.5+28.01)=5.34
[2015 Set-2 : 2 Marks]
Question1.86: In triangle PQR, PS is angle bisector of QPR and QPS=60 deg. What is length of PS? Triangle sides PQ=r, PR=q, QR=p
(a)(q+r)/qr (b)qr/(q+r) (c)sqrt(q^2+r^2) (d)(q+r)^2/qr
Answer: (b) qr/(q+r)
Reason: Angle QPR=120 deg, bisector length = 2qr cos(60)/(q+r) = qr/(q+r)
[2015 Set-2 : 2 Marks]
Question1.87: f=max, g=min, h=remainder of (p×q)/(r×s) if p×q > r×s else remainder of (r×s)/(p×q). Also fgh = f×g×h. What is value of fg(h(2,5,7,3),4,6,8)?
Answer: 0
Reason: h(2,5,7,3)=21 mod 10=1, then h(1,4,6,8)=48 mod 4=0, max=8 min=1 => 810=0
[2015 Set-2 : 2 Marks]
Question1.88: Select most suitable sentence with respect to grammar and usage: (a)Since report lacked needed information, it was of no use to them (b)Report was useless…there were no needed info (c)Since report did not contain needed information, it was not real useful (d)Since report lacked needed information, it would not had been useful
Answer: (a)
Reason: Only (a) is grammatically correct, others have errors like were/was, real/really, would not had
[2015 Set-3 : 1 Mark]
Question1.89: If ROAD is written as URDG, then SWAN should be written as: (a)VXDQ (b)VZDQ (c)VZDP (d)UXDQ
Answer: (b) VZDQ
Reason: +3 shift for each letter, S+3=V, W+3=Z, A+3=D, N+3=Q
[2015 Set-3 : 1 Mark]
Question1.90: The Tamil version of _ John Abraham-starrer Madras Cafe cleared by the Censor Board with no cuts last week, but the film’s distributors no takers among the exhibitors for a release in Tamil Nadu _ this Friday. (a) Mr., was, found, on (b) a, was, found, at (c) the, was, found, on (d) a, being, find at
Answer: (c) the, was, found, on
Reason: Madras Cafe is specific movie so “the” version, film was cleared, distributors found no takers, release on Friday
[2015 Set-3 : 1 Mark]
Question1.91: Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything _ to the requirements of the exam. (a) related (b) extraneous (c) outside (d) useful
Answer: (b) extraneous
Reason: They close minds to anything not related to exam, extraneous means irrelevant
[2015 Set-3 : 1 Mark]
Question1.92: Select the pair that best expresses a relationship similar to that expressed in the pair: Children : Pediatrician (a) Adult : Orthopaedist (b) Females : Gynaecologist (c) Kidney : Nephrologist (d) Skin : Dermatologist
Answer: (b) Females : Gynaecologist
Reason: Pediatrician is specialist for children category, Gynaecologist for females category. Others are organ/body part specialist
[2015 Set-3 : 1 Mark]
Question1.93: A function f(x) is linear and has a value of 29 at x=-2 and 39 at x=3. Find its value at x=5. (a) 59 (b) 45 (c) 43 (d) 35
Answer: (c) 43
Reason: Slope = (39-29)/(3-(-2)) = 10/5=2, f(x)=2x+33, at x=5 => 10+33=43
[2015 Set-3 : 2 Marks]
Question1.94: Alexander turned his attention towards India, since he had conquered Persia. Which one is logically valid and can be inferred? (a) Alexander would not have turned towards India had he not conquered Persia (b) Alexander was not ready to rest on his laurels and wanted to march to India (c) Alexander was completely in control of his army and could command it to move towards India (d) Since Alexander’s kingdom extended to Indian borders after conquest of Persia, he was keen to move further
Answer: (a) Alexander would not have turned his attention towards India had he not conquered Persia
Reason: Since = because, Persia conquest is reason/condition for turning to India, so contrapositive is valid
[2015 Set-3 : 2 Marks]
Question1.95: Head of government desires to appoint five of six members P,Q,R,S,T,U to portfolios Home,Power,Defense,Telecom,Finance. U does not want any portfolio if S gets one of five. R wants either Home or Finance or no portfolio. Q says if S gets either Power or Telecom then she must get the other one. T insists on portfolio if P gets one. Which is valid distribution? (a) P-Home,Q-Power,R-Defense,S-Telecom,T-Finance (b) R-Home,S-Power,P-Defense,Q-Telecom,T-Finance (c) P-Home,Q-Power,T-Defense,S-Telecom,U-Finance (d) Q-Home,U-Power,T-Defense,R-Telecom,P-Finance
Answer: (b) R-Home, S-Power, P-Defense, Q-Telecom, T-Finance
Reason: Check conditions: Option a invalid R wants Home/Finance only but given Defense. Option c invalid U and S together. Option d invalid R given Telecom but wants Home/Finance. Only b satisfies Q condition (S gets Power so Q gets Telecom) and R gets Home
[2015 Set-3 : 2 Marks]
Question1.96: Choose most appropriate equation for function drawn as thick line in plot below. Plot has line from origin (0,0) for y>0 x=0, and for y<0 line going positive x direction passing through (0,-1) and (2,0) extended. (a) x=y-|y| (b) x=-(y-|y|) (c) x=y+|y| (d) x=-(y+|y|) Answer: (b) x=-(y-|y|) Reason: For y>=0, |y|=y so x=-(y-y)=0, y-axis. For y<0, |y|=-y so x=-(y-(-y))= -2y >0 linear with positive x
[2015 Set-3 : 2 Marks]
Question1.97: Most experts feel that in spite of possessing all technical skills required to be a batsman of highest order, he is unlikely to be so due to lack of requisite temperament. He was guilty of throwing away his wicket several times after working hard to lay a strong foundation. His critics pointed out that until he addressed this problem, success at highest level will continue to elude him. Which statements logically valid and can be inferred? (i) He was already a successful batsman at highest level (ii) He has to improve his temperament in order to become a great batsman
Answer: (ii) only
Reason: Passage says he is unlikely to be highest order due to temperament and needs to address it, so (ii) valid. (i) says already successful but passage says success will elude him until fixed, so (i) false