Gradutate Record Exam

1. If the area of rectangle 'S' is twice that of the rectangle 'T', then
Col A: The side of rectangle S
Col B: The diagonal side of rectangle T

2. If n > 10,000, then which of the following is the closest to 3?
A. 1/(3^n)
B. 3 + 1/3^n
C. n/(3^n)
& so on....

3. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

4. A line passes through a point (p, r) and its slope is 'p'. If pr < 0, then
Col A: The x-intercept of the line
Col B: 0

5. A ball is dropped from 6metres. If it bounces a height of 90% of previous height, then after 5 bounces to how much height will it bounce?

6. Given two points (3, 0) & (3, 3) in the coordinate system. If these two points are equidistant from a point (x, y), then
Col A: x
Col B: 3

7. Given an equation of a line and asked to find the x-intercept of that?

8.

Given that L1 is parallel to L2. If AB = BC, then
Col A: x
Col B: 60

9. Given ‘x’ is an integer. If x^2 – 10 < 0, then how many such values of ‘x’ satisfies the given condition?
A. one
B. Two
C. Three
& so on…

10. Col A: Standard Deviation of numbers having an average 60
Col B: Standard Deviation of numbers having an average 65

11. Given n > 10,000;
Col A: The unit digit value of ‘n’ when divided by 8
Col B: 7

12. Given a set of numbers 19, 22, 25, 26 & 28. When each number is added by ‘k’, then the sum of the numbers would be 142.5. Find the median of the numbers?

13. For a rectangle, if the breadth is 8 & A(area) + L(length) = 130, then the area of the rectangle 'A' is?

14. If 0 < x < y < z, then
Col A: x/y
Col B: y/z

15. Given a series 3 + 3^2 + 3^3 +….+3^k. What is the value of 'k' at which the summation will be divisible by 6?
A. 15
B. 18
C. 21
D. 28
E. 53

16. Given that, when ‘N’ is divided by 7, it leaves a remainder of 4. If N^2 +5 is divided by 7, then the remainder is?

17. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 <= x <= 37), that is closest in this range?
A. 1888
B. 4500
C.3500
D. 6650

18. The probability of a person getting a line busy every time when she calls is 1/3 and if she makes one call on each of 4 consecutive days, then
Col A: Probability of getting the line busy on each of the 4 days
Col B: ¼

1. Belie

2. Inherent

3. Lofty

4. Transitory

5. Recondite

6. Protract

7. Reinforce

8. Insipid

9. Pervasive

10. Lubricant

11. Porous


Analogies:

1. Porous: liquid

2. Lubricant: friction


Issue Topic:

1. Creating an appealing image has become more important in contemporary society than is the reality or truth behind that image.

2. t is the artist, not the critic who provide the society the things of lasting value.


Argument Topic:

1. The following is a recommendation from the personnel director to the president of Acme Publishing Company. "Many other companies have recently stated that having their employees take the Easy Read Speed-Reading Course has greatly improved productivity. One graduate of the course was able to read a five-hundred-page report in only two hours; another graduate rose from an assistant manager to vice president of the company in under a year. Obviously, the faster you can read, the more information you can absorb in a single workday. Moreover, Easy Read costs only $500 per employee — a small price to pay when you consider the benefits to Acme. Included in this fee is a three-week seminar in Spruce City and a lifelong subscription to the Easy Read newsletter. Clearly, Acme would benefit greatly by requiring all of our employees to take the Easy Read course."

1. If x^2 + 5x^2 - 4 = 0, then sum of all possible values of x is
A. –5
B. –1
C. 0
D. 1
E. 5

2. If x + y = 5 & 2x + 2y = 8, then
Col A: The smallest possible distance between the lines
Col B: 1

3. Given a series 3 + 3^2 + 3^3 +….+3^k. What is the value of 'k' at which the summation will be divisible by 6?
A. 15
B. 18
C. 21
D. 28
E. 53
(Options were something like that)

4. If x^2 + 3x - r = 0, r is a positive integer and if x1, x2 are possible solutions to the equation, then
Col A: x1*x2
Col B: –r

5. If 3x + 5y = 12, then which of the following statements are true
1. x-intercept is positive
2. Slope is negative
3. At any point on the line, at least one coordinate is positive.
A. Statement 1
B. Statement 1 & 2
C. Statement 2
& so on.....

6. Two frequency distribution graphs are given, both are following same pattern, asked for the range, mean and standard deviation that are same for both.

7. If (x-5)(2x+1) - (x-5)(x+7) = 0, then the smallest possible value for x is....?

8. If 'p' is a point located at equal distance from (3, 0) and (3, 5) then
Col A: x-coordinate
Col B: 3

9. If n > 20, n shares are brought at a value of t (each share cost). In June, if a person sold n-20 shares at t+2 value each and rest of the shares for t+3, then
Col A: Total value of the shares sold – Initial value
Col B: 40+n

10. In 1976, the value of '$' is 30% more than in 1972. In 1980, the value is 82% than that in 1972, then
Col A: Percentage increase in '$' value from 1976 to 1980
Col B: 52%

11. Col A: 3x^1 * 3x^-1
Col B: 5x^1*5x^-1

12. If x^4 + 5x^2 - 2 = 0, then which of the following options given cannot satisfies the condition?
(Some numbers were given as options)

13.

If the radius of the circle above is 8, then find the area of the shaded region?

14. There are 40 students in the class and the marks obtained by them are like 50, 60, 70, 80 & 90.
Col A: Median of the 40 students
Col B: Mean of the 40 students. 

1. Succor

2. Incite

3. Predicament

4. Coagulant

5. Fretwork

6. Natatorium

7. Crotch

8. Contentment

9. Lackluster

10. Burnish

11. Carouse

12. Sobriety


Analogies:

1. Fretwork: Ornamentation

2. Lackluster: Burnish

3. Carouse: Sobriety


Argument Topic:

1. "Last year, sales of our Fierce Fighter toy airplane declined sharply, even though the toy had been a top seller for three years. Our customer surveys show that parents are now more worried about youthful violence and are concerned about better education for their children. Therefore, to maintain profits we should discontinue all our action toys and focus exclusively on a new line of educational toys. Several other toy companies have already begun marketing educational toys and report sales increases last year of 200 percent. And since the average family income is growing, sales of new Hyper-Go toys should also increase."

1. If 3/5 =x/y
Col A: X - 3
Col B: Y - 5

2. If the letters of the word A, F, T, E, R are permuted and arranged in a dictionary form like after, then for some (n > 2) how many other possible ways are there?
A. 119
B. 117
C. 88
& so on....

3. Given y = ax+b and if x-intercept is 5 and slope =2
Col A: x-intercept
Col B: -10

4. If x is negative integer, then
Col A: (-x)^(3*x)
Col B: (-3*x)^(x)

5. In how many ways can 5 prizes, each having 1st, 2nd, 3rdpositions can be given to 3 boys?

6. Given three points (2,4), (5,3) & (k,1). If these three points are collinear, then find value of k?

7. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (Provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

8. Given two parallel lines 'L1' and 'L2' which are cut by a transversal at 'B' and 'A' respectively. 'E' is a point on 'L2' such that angle BAE = 58. 'C' is a point on 'L1' on the other side of transversal as 'E' such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

9. Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt(2)}/2

10. Given following table

Data	Percentile
16.8	43th percentile
17.1	49th percentile
17.3	52th percentile
17.8	55th percentile
18.2	60th percentile

Find the median of the above observation?

1. Callous

2. Precarious

3.Ostracize

4.Recondite

5. Lethargic

6. Flippancy

7. Averse

8. Hodgepodge

9. Audit


Analogies:

1. Tutor: Instructor

2. Audit: Account

3. Hodgepodge: Uniformity


Issue Topic:

1. "Essential quality of an effective leader is his ability to be consistent with the particular principles and objectives. A leader who gets easily influenced by shifts in popular opinion achieves very little".

1. The probability of a girl getting a line busy every time when she calls is 1/3 and if she makes one call on each of 4 consecutive days, then
Col A: Probability of getting the line busy on each of the 4 days
Col B: ¼

2. For a rectangle, if the breadth is 9 & A(area)+L(length) = 130, then the area of the rectangle 'A' is?

3. Given a Parallelogram with sides of 10 and 16.
Col A: Area of parallelogram
Col B: 160

4. If 1/x + 1/y = 3, then
Col A: 3xy
Col B: x+y

5. If x, y > 0, then
Col A: sqrt (xy)
Col B: sqrt (x+y)

6. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

7. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20percent, then by what percentage must the price should increase to compensate the decrease?

8. Col A: The remainder when k is divided by 7
Col B: The remainder when 2k is divisible by 7

9. If 'x' is 130percent of 'y', then 'y' is what percentage of x?

10. If the point P(x, y) is equidistant from points (3, 1) and (3, 4), then
Col A: The x-coordinate of P
Col B: 2

11. Given that, some 'x' shares were there and price per share was t$. If x>20 and the first 20 shares were sold at price (t+1)$ while remaining at t+4, then
Col A: The net profit
Col B: (t+40)
(Question is similar to this)

12.

Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?

13. If there is a list of some numbers, whose mean is 10.8 and standard deviation is '0', then
Col A: Range of that list
Col B: 0

14. If |2 - k| = |2 + k|, then
Col A: k
Col B: 0

15. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is odd and 'm' is even
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

16. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 <= x <= 37), that is closest in this range?
A. 1888
B. 4500
C.3500
D. 6650

17. If 14percent people have ovens and 27percent have washing machines, then what is the range of the people having neither oven nor washing machines?
A. 0-14percent
B. 27-41percent
C. 59-73percent
D. 73-86percent

18. Two lines L1 and L2 are cut by a transversal at B and A respectively. E is a point on L2 such that angle BAE = 58. C is a point on L1 on the other side of transversal as E such that BC = CA.
Col A: Angle BCA
Col B: 60

1. Apocalyptic

2. Tacit

3. Daft

4. Deracinate

5. Commotion

6. Precarious

7. Enfeeble

8. Prairie

9. Peripatetic

10. Sylvan

11. Tantamount

12. Dire

13. Weather

14. Evince

15. Nip

16. Querulous

17. Exhortation

18. Quaff


Analogies:

1. Querulous: Complain

2. Exhortation: Encourage

3. Quaff: Sip 

1. How many even numbers are there whose square falls in the range 37 to 621?

2. A line's y-intercept and x-intercept are given as -1 and 2 respectively. Find the slope?

3.

Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt(2)}/2

4. Given x is an integer such that x > 3
Col A: number of even factors of 2x
Col B: number of odd factors of 3x

5.

If x < y, then
Col A: Area of the triangle ABC
Col B: Area of the triangle PQR

6.

If the smallest distance from ‘p’ to any point on the circle is 5 and the largest distance from ‘p’ to any point on the circle is 11, then find the distance between centre and the point ‘p’?

7. Two sets of data D1 & D2 are given as {1, 2, x} and {1, 2, 1}, x is an integer which is not equal to 1.
Col A: Standard Deviation of D1
Col B: Standard Deviation of D2

8. A shopkeeper had T toys. He sold 60 toys on the first day at $0.40. If he wanted to sell the remaining toys on the second day and earn the same total as the previous day, then at what price should he sell them each?

9. Given that, when ‘N’ is divided by 7, it leaves a remainder of 4. If N^2 +5 is divided by 7, then the remainder is…??

ORKUT QUANT DATABASE (Till Oct 24th)

1. If y(0.375) = 1, then (y^2 -1) = ?

2.

The radius of the smaller circle is 2 and radius of bigger circle is 5. If the tangent to the smaller circle intersects the bigger circle at ‘P’ and ‘Q’, then find the length of PR?

3. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

4. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20%, by what percentage must the price should increase to compensate the decrease?

5. Col A: The number of multiples of 7 which are not divisible by 6 from 1-100 inclusive.
Col B: 12

6. Given slope as 2.5 and a point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

7. How many even integers have squares between 37 and 621?

8. Col A: The remainder when k is divided by 7
Col B: The remainder when 2k is divisible by 7

9. 3^-3+3^-2+3^-1 =
A. 3^-3
B. 3^-2
C. 13(3^-3)
D. 39(3^-3)

10. The Value of cube root of (-28) is...???

11. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then
Col A: Percentage increment form 1995-2000
Col B: 15%

12. If y = 2- |X - 2| and -1 < = X < = 5, then
Col A: y
Col B: 12

13. If the area of triangle with vertices (k, k), (k+4s, k), (k, k+s) is 32, then the value of s is?

14. If |2 - k| = |2 + k|, then
Col A: k
Col B: 0

15. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B
16. If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?

17. Let S1, S2, S3,…Sn be a series such that, Sn+1 = (1/2)Sn, then
Col A: S6 (2^14)
Col B: S20

18. If 1 - x < 0, then
Col A: x
Col B: -1/x

19.

Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2

20. Now if the month is June, then what is the month after 400 months?

21. If x > 0 & y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

22. Given following table

Data	Percentile
16.8	43th percentile
17.1	49th percentile
17.3	52th percentile
17.8	55th percentile
18.2	60th percentile

Find the median of the above observation?

23. Given three points (2,4), (5,3) & (k,1). If these three points are collinear, then find value of k?

24. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (Provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

25. If n > 10000, then
Col A: thousand's digit of n/8
Col B: 7

26. If f(n, k) = n!/(k!*(n-k)!), then
Col A: f(16,3)
Col B: f(16,14)

27. How many even integers have squares between 37 and 227?

28. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 <= x <= 37), that is closest in this range?
A. 1888
B. 4750
C. 6650

29. Two equations are given
ax + by = c
ix + ky = j (Replacing a, b, c, i, k, j by some numbers)
1. The lines are parallel
2.They intersect at 90 deg
3.They intersect.
Which of the following are true
A. 1and 2
B. 2 and 3
C. 1, 2 and 3
& so on……..

1. Damn(v): to declare (something) to be bad, unfit, invalid, or illegal; to condemn as a failure; to condemn as a failure; To bring about the failure of; ruin; To condemn to everlasting punishment or a similar fate; Used to express anger, irritation, contempt, or disappointment.
Synonyms: abuse, anathematize, attack, ban, banish, blaspheme, blast, castigate, cast out, censure, complain of, confound, convict, criticize, cry down, curse, cuss, darn, denunciate, doom, drat, excommunicate, excoriate, execrate, expel, flame, fulminate against, imprecate, inveigle against, jinx, object to, objurgate, penalize, proscribe, punish, revile, sentence, slam, swear.
Antonyms: bless, cherish, commend, elevate, exalt, favor, glorify, laud, praise, promote.

2. Invective(n): an insulting or abusive word or expression; abusive or venomous language used to express blame or censure or bitter deep-seated ill will; violent denunciation, censure, or reproach.
Synonyms: accusation, berating, billingsgate, blame, blasphemy, castigation, censure, condemnation, contumely, denunciation, diatribe, epithet, jeremiad, obloquy, philippic, reproach, revilement, sarcasm, scurrility, tirade, tongue-lashing, vilification, vituperation.
Antonyms: compliment, flattery, praise.

3. Collusion(n): a secret agreement; a secret agreement between two or more parties for a fraudulent, illegal, or deceitful purpose; agreement on a secret plot.
Synonyms: bunco, complicity, connivance, conspiracy, craft, deceit, diddling, dodge, double-cross, flam, graft, guilt, gyp, intrigue, plot, racket, scam, scheme, trick, whitewash.

4. Halcyon(adj): calm; peaceful; rich; wealthy; prosperous; happy; joyful; carefree; marked by peace and prosperity.
Synonyms: balmy, bucolic, gentle, golden, happy, harmonious, palmy, pastoral, quiet, serene, soothing, still, sunny, tranquil, untroubled.

5. Deference(n): respectful or courteous regard; respectful submission or yielding to the judgment, opinion, will, etc., of another.
Synonyms(adj): complacent, considerate, courteous, deferential, fawning, loyal, meek, modest, regardful, respectful, reverential, sycophantic, unctuous, venerative, worshiping, yielding.

6. Inchoate(adj): not yet completed or fully developed; not organized; lacking order; In an initial or early stage; Imperfectly formed or developed.
Synonyms: amorphous, elementary, embryonic, formless, immature, imperfect, inceptive, incipient, just begun, nascent, preliminary, rudimentary, shapeless, unfinished, unformed, unshaped.
Antonyms: developed, grown, mature.

7. Salubrious(adj): favorable to or promoting health; healthful; Conducive or favorable to health or well-being.
Synonyms: beneficial, good, healthful, healthy, hygienic, invigorating, salutary, sanitary, wholesome.
Antonyms: insalubrious, unhealthy, unwholesome.

8. Facetious(adj): not meant to be taken seriously or literally; lacking serious intent; concerned with something nonessential, amusing; Given to wit and good humor; merry; sportive.
Synonyms: amusing, blithe, capering, clever, comic, comical, droll, dry, fanciful, farcical, flippant, frivolous, funny, gay, humorous, indecorous, ironic, irreverent, jesting, jocose, jocular, joking, joshing, laughable, ludicrous, merry, not serious, playful, pleasant, punning, ridiculous, salty, sarcastic, satirical, smart, sportive, sprightly, waggish, whimsical, wisecracking, witty, wry.
Antonyms: formal, grave, serious, unfunny.

9. Hasty(adj): Characterized by speed; Done or made too quickly to be accurate or wise; rash; Easily angered; irritable; excessively quick.
Synonyms: abrupt, agile, brash, brief, brisk, careless, cursory, eager, expeditious, fast, fiery, fleet, fleeting, foolhardy, harefooted, headlong, heedless, hurried, ill-advised, impatient, impetuous, impulsive, incautious, inconsiderate, passing, perfunctory, precipitate, prompt, quick, quickened, quickie, rapid, rash, reckless, rushed, short, slambang, sudden, superficial, swift, thoughtless, urgent.
Antonyms: delayed, lazy, lingering, loitering, slow.

10. Irksome(adj):annoying; irritating; causing weariness or disgust; so lacking in interest as to cause mental weariness; Wearisome; tedious; disagreeable or troublesome by reason of long continuance or repetition; vexed; uneasy.
Synonyms: aggravating, boring, bothersome, burdensome, irritating, tedious, tiresome, troublesome, troubling, vexing.

11. Diatribe(n): a bitter, sharply abusive denunciation, attack, or criticism; thunderous verbal attack.
Synonyms: abuse, castigation, denunciation, disputation, invective, jeremiad, objection, onslaught, philippic, reviling, screed, stricture, tirade, vituperation.
Antonyms: praise, recommendation.

12. Disintegrated(v): to separate into parts or lose intactness or solidness; break up; to decay; to reduce to particles, fragments, or parts; break up or destroy the cohesion of; to lose cohesion or unity.

13. Ballad(n): a simple narrative poem of folk origin, composed in short stanzas and adapted for singing; a sentimental or romantic popular; a narrative song with a recurrent refrain.
Synonyms: carol, chant, ditty, serenade.


Analogies:

1. Sing: Ballad

---

1. How much more does it cost to send a parcel
....weighing 16.5 pounds by express delivery than

 (E) $16.60..

2. By approximately what percent does the average
....air delivery cost per pound for a 21-pound
....parcel exceed the average ground delivery cost

 (E) 130

3. Marketing expenses trailed production expenses by
....about the same percentage during which of the

....following two years? 

 (A) 1990 and 1992

 (B) 1991 and 1992

 (C) 1991 and 1993

 (D) 1992 and 1993

 (E) 1990 and 1994
.

4. Consider aggregate legal and production expenses
....for each year shown. With respect to the two years
....during which this aggregate amount was most nearly
....the same, average annual marketing expenses totaled

 (E) $8.0 million 

1. If y(0.375) = 1, then (y^2 -1) = ?

2.

The radius of the smaller circle is 2 and radius of bigger circle is 5. If the tangent to the smaller circle intersects the bigger circle at ‘P’ and ‘Q’, then find the length of PR?

3. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

4. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20%, by what percentage must the price should increase to compensate the decrease?

5. Col A: The number of multiples of 7 which are not divisible by 6 from 1-100 inclusive.
Col B: 12

6. Given slope as 2.5 and a point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

7. How many even integers have squares between 37 and 621?

8. Col A: The remainder when k is divided by 7
Col B: The remainder when 2k is divisible by 7

9. 3^-3+3^-2+3^-1 =
A. 3^-3
B. 3^-2
C. 13(3^-3)
D. 39(3^-3)

10. The Value of cube root of (-28) is...???

11. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then
Col A: Percentage increment form 1995-2000
Col B: 15%

12. If y = 2- |X - 2| and -1 < = X < = 5, then
Col A: y
Col B: 12

13. If the area of triangle with vertices (k, k), (k+4s, k), (k, k+s) is 32, then the value of s is?

14. If |2 - k| = |2 + k|, then
Col A: k
Col B: 0

15. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B
16. If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?

17. Let S1, S2, S3,…Sn be a series such that, Sn+1 = (1/2)Sn, then
Col A: S6 (2^14)
Col B: S20

18. If 1 - x < 0, then
Col A: x
Col B: -1/x

19.

Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2

20. Now if the month is June, then what is the month after 400 months?

21. If x > 0 & y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

22. Given following table

Data	Percentile
16.8	43th percentile
17.1	49th percentile
17.3	52th percentile
17.8	55th percentile
18.2	60th percentile

Find the median of the above observation?

23. Given three points (2,4), (5,3) & (k,1). If these three points are collinear, then find value of k?

24. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (Provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

25. If n > 10000, then
Col A: thousand's digit of n/8
Col B: 7

26. If f(n, k) = n!/(k!*(n-k)!), then
Col A: f(16,3)
Col B: f(16,14)

27. How many even integers have squares between 37 and 227?

28. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 <= x <= 37), that is closest in this range?
A. 1888
B. 4750
C. 6650

29. Two equations are given
ax + by = c
ix + ky = j (Replacing a, b, c, i, k, j by some numbers)
1. The lines are parallel
2.They intersect at 90 deg
3.They intersect.
Which of the following are true
A. 1and 2
B. 2 and 3
C. 1, 2 and 3
& so on……..

1. Facetious

2. Hasty

3. Irksome

4. Invective

5. Diatribe

6. Harangue

7. Apulia

8. Ecclesiastic

9. Plummet

10. Exacerbate

11. Tether

12. Eulogy

13. Contentment

14. Vivid


Analogies:

1. Eulogy: speech

2. Disaffected: Contentment

3. Vivid: Inspiration

1. Given A+L =130. If ‘A’ is the area of rectangle and ‘L’ is the length of the rectangle. Find the value of A? (Provided ….the breadth ‘B’ is given as 6).

2. Two lines 'L1' and 'L2' are cut by a transversal at 'B' and 'A' respectively. 'E' is a point on 'L2' such that angle BAE = 58. 'C' is a point on 'L1' on the other side of transversal as 'E' such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

3. Given y = ax + b, such that slope of line = 2 and x-intercept = 5.
Col A: y-intercept
Col B: -10

4. Given equation of parabola as y = x^2+3. If the point A = (2, k) is on the parabola and B is the point at which it cuts y-axis, then AB =
A. 2
B. 3
C. sqrt(5)
D. sqrt(5) + sqrt(3)
E. sqrt(5) - sqrt(3)

5. Given A1 = 1/2 and A(n) = n/(n+1)*A(n-1). If A(k) = 1/15, then
Col A: k
Col B: 14

6. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

7. In a group of men and women, 1/3 are men. If 2 women leave the group, then men will be 2/5 of the group. How many members are there in the group?

8. Given a series S1, S2 ……....Sn. If S2 = 2 & Sn = S(n-1) + 2S2, then find S18?

9.

What is the maximum angle?

10. Col A: (n + 30)^2 + (n – 30)^2
Col B: 120n

11. If x & y are positive integers, then
Col A: x^2 + y^2
Col B: xy

12. Given two lines & asked to find the distance between them.

1. Inert

2. Mollify

3. Morass

4. Accolade

5. Trite

6. Nadir

7. Steep

8. Expatiate

9. Zealous

10. Jest

11. Natty

12. Slovenly

13. Exonerate

14. Advocacy

15. Champion

16. Commotion

17. Mirth

18. Iniquitous

19. Impetuous

20. Enervate

21. Disabuse

22. Disaffected


Analogies:

1. Exonerate: Blame

2. Advocacy: Champion

3. Criticism: Evaluate

4. Commotion: Confusion

5. Mirth: Laughter

***The sales and profit data of two companies A and B are given in the following chart, based on the data answer the questions that follow. ( Q 1 – 10)

SEE FIGURE 1



1 Total sales of company A is?
a. 1706
b. 1708
c. 1710
d. 1712

2 Total sales of company B is?
a. 1875
b. 1860
c. 1880
d. 1884

3 Total profit of company A is ?
a. 380
b. 382
c. 384
d. 386

4 Total profit of company B is?
a. 297
b. 298
c. 299
d. 300

5 Profit percentage for company A for the six months is?
a. 22.39
b. 22.17
c. 22.89
d. 22.19

6 Profit percentage for company B for the six months is?
a. 15.54
b. 15.67
c. 15.87
d. 15.78

7 Average sales per month for company A is?
a. 284.11
b. 284.33
c. 284.56
d. 285.14

8 Average profit for month for company B is?
a. 49.83
b. 49.38
c. 49.22
d. 49.11

9 The profit percentage for first quarter for company A is ? ( Jan-Mar )
a. 23.16
b. 23.44
c. 23.93
d. 23.39





10 The profit percentage for second quarter for company B is? ( Apr-Jun)
a. 15.73
b. 15.37
c. 15.32
d. 15.23

***The data for a company is given in the Chart and in the table. Answer the questions based on the statistics provided.(10-12)

SEE FIGURE 2

CSR(Amount) R&D as percentage of Sales Attrition(No of Employees / Annum)
1999 10 2 20
2000 15 2.52 30
2001 25 1.18 25
2002 32 3.54 40
2003 38 4.12 100
2004 62 3.56 20
2005 72 4.56 30
2006 84 3.86 30
2007 86 4.22 20
2008 95 3.92 10


11.what is the average CSR spending for the given years.
a. 51.5
b. 51.9
c. 51.4
d. 51.3

12.What is the average sale / annum?
a. 1166.8
b. 1177.1
c. 1177.3
d. 1177.9

13.What is the average R&D percent / annum?
a. 3.35
b. 3.30
c. 3.45
d. 3.40

14.What is the average attrition / annum?
a. 32.3
b. 32.5
c. 32.4
d. 32.9

15.what is the range of attrition?
a. 90
b. 80
c. 85
d. 95

16.In 2003 what is the R&D spend amount?
a. 4.12
b. 45.77
c. 45.34
d. 120

17.What is the total amount spent on CSR in all 10 years?
a. 515
b. 517
c. 519
d. 521

18.Amount spent on R&D is maximum in which year?
a. 2004
b. 2005
c. 2007
d. 2008

19.CSR as percentage of sales is maximum in?
a. 2004
b. 2006
c. 2007
d. 2008

20.Range of R&D percentage is?
a. 3.34
b. 3.35
c. 3.38
d. 3.42

***Answer questions 21-25 based on figure below?
The amount spent on food and gas is given on Y – Axis in INR.

SEE FIGURE 3


21.What is the total amount spent on Food?
a. 95
b. 96
c. 97
d. 98




22.What is the total amount spent on Gas?
a. 96
b. 97
c. 98
d. 99

23.What is the amount spent on Food and gas in Jan – Mar period?
a. 106
b. 108
c. 110
d. 112

24.What is the amount spent on Food and gas in Apr – June period?
a. 86
b. 87
c. 88
d. 89

25.The range of gas is?
a. 19
b. 20
c. 21
d. 22

1. If an integer n>2 takes the form k! And this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

2. Given a table
X f
0 n
1 100-n

Col A: Value of n for mean to be greater than 0.5
Col B: 50

3. If S1 = 2 and if Sn =S(n-1)*1/2 then
Col A: S6
Col B: 2^14(S20)

4. A bar graph with number of students and marks obtained.
Marks No. of students
40 3
60 4
70 14
80 8
90 11

If the total number of students is 40, then
Col A: Median of the data
Col B: Average of the data
(@ all: this is the appropriate question)

5. If 14% people have ovens and 27% have washing machines, then what is the range of the people having neither oven nor washing machines?
A. 0-14%
B. 27-41%
C. 59-73%
D. 73-86%
(Options were something like that)

6. For a line 'l', if x-intercept = y-intercept = 4, then
Col A: Slope of line 'l'
Col B: -1

7. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

8. If there is a list of some numbers, whose mean is 10.8 and standard deviation is '0', then
Col A: Range of that list
Col B: 0

9. If 'x' is 130% of 'y', then 'y' is what percentage of x?

10. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20%, by what percentage must the price should increase to compensate the decrease?

11. If xy =! 0 and y^-1 = 3x^-1, then which of the following is equivalent to it?
Options in terms of x & y were given
(To the given options, examiners answer: y = x/3)

12. If 0 < x < y < z, then
Col A: x/y
Col B: y/z

13. If b = -8 & (a+b)^2 = 36, then
Col A: a
Col B: 14

14. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then
Col A: Percentage increment form 1995-2000
Col B: 15%

15. How many number of even squares are their between 60 and 625.
A. one
B. Two
& so on..

16.

If x < y, then
Col A: Area of the triangle ABC
Col B: Area of the triangle PQR

1. Callous

2. Compassion

3. Indigenous

4. Gullibility

5. Credulity

6. Prosaic

7. Plucky

8. Oblivious

9. Obfuscate

10. Aesthetic

11. Gregarious

12. Sociable

13. Tractable

14. Venerate

15. Demagogue

16. Resplendent

17. Slur

18. Curb

19. Presumptuous

20. Pontificate


Analogies:

1. Callous: Compassion

2. Gullibility: Credulity


Issue Topic:

1. "It is not good to conclude without enough data".

2. "Socialization decides the future of society".

1. The value of (5*4) + 2(5-8+3) = ?

2. Col A: (-36)^49
Col B: 36^(-49)

3. If x > 0, then
Col A: 2^2 * sqrt(x)
Col B: 4^2 * sqrt(x^2)

4. If t^2 = -3(2t + 3), then the value of t is?

5.

If the area of the above circle is 4pie and area of the triangle is 3, then find the hypotenuse “PQ”?

6. A bar graph with number of students and marks obtained.
Marks No. of students
40 3
60 4
70 14
80 2
90 11

If the total number of students is 40, then
Col A: Median of the data
Col B: Average of the data

7. Given a table of Category and Number of students
Category No. of students
Elementary school 5
Junior school 4
High school 17
College 9

If total students = 35
Col A: probability that a student chosen randomly will not cross junior school
Col B: probability that a student chosen randomly is from college

8. Given x-intercept and y-intercept and asked to find the slope?

9. Given slope as 2.5 and a point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

10. Given two points and asked to find the distance between the points.

11. If x =! 1, then
Col A: 1/( 2x+2)
Col B: 2x+2

12. Data Interpretation: Minimum wage per person is given for 5 countries. First question was "percentage by which one countries wage per person was more than the other".
&
Second question: What is the per person wage of country X & O combined?
Country X - 564 & Country O - 705 --- (given in the data)
a. 500
b. 600
c. 635
d. 692
e. 705

13. If an integer n > 2 takes the form k! and this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

1. Court(v): to try to win the favor, preference, or goodwill of; to seek the affections of; (of animals) to attempt to attract (a mate) by engaging in certain species-specific behaviors; to act in such a manner as to cause, lead to, or provoke; to seek another's love.
Synonyms: adjective, aulic, forensic, in camera, judicial, judiciary, juridical, juristic, justiciable, sub judice, substantive.

2. Conscientious(adj):careful; characterized by extreme care and great effort; controlled by or done according to conscience; guided by or in accordance with conscience or sense of right and wrong.
Synonyms: complete, diligent, exact, exacting, faithful, fastidious, fussy, hanging in, heedful, meticulous, painstaking, particular, playing safe, punctilious, punctual, reliable, tough, just, upright, honest, faithful, devoted.
Antonyms: careless, inexact, irresponsible, uncareful, unconscientious, unscrupulous.

3. Watershed(n): the region or area drained by a river, stream, etc.; drainage area. ; an important point of division or transition between two phases, conditions, etc.; an event marking a unique or important historical change of course or one on which important developments depend.

4. Apostasy(n): a total desertion of or departure from one's religion, principles, party, cause, etc. ; the state of having rejected your religious beliefs or your political party or a cause.
Synonyms: recreance, recreancy, tergiversation.

5. Trite(adj): lacking in freshness or effectiveness because of constant use or excessive repetition; characterized by hackneyed expressions, ideas, etc; Lacking power to evoke interest through overuse or repetition;frayed or worn out by use; repeated too often; overfamiliar through overuse.
Synonyms: ordinary
Antonyms: original.

6. Malefeasance(n): the performance by a public official of an act that is legally unjustified, harmful, or contrary to law; wrongdoing (used esp. of an act in violation of a public trust); Misconduct or wrongdoing, especially by a public official.
Synonyms: crime, delinquency, misconduct, wrongdoing.

7. Mollify(v): To calm in temper or feeling; soothe; To reduce the rigidity of; cause to be more favorably inclined; make more temperate, acceptable, or suitable by adding something else; moderate; to assuage, as pain or irritation, to appease, as excited feeling or passion; to pacify; to calm.
Synonyms: abate, allay, alleviate, ameliorate, appease, assuage, blunt, calm, compose, conciliate, cool, cushion, decrease, diminish, dulcify, ease, fix up, lessen, lighten, lull, mellow, mitigate, moderate, modify, pacify, patch things up, placate, propitiate, quell, quiet, reduce, relieve, soften, sweeten, take sting out, temper, tranquilize.
Antonyms: agitate, depress, exasperate, harass, incite, provoke, trouble, upset, worry.

8. Banality(n): Something commonplace, hackneyed, or trivial; The condition or quality of being banal; triviality; Something that is trite, obvious, or predictable.
Synonyms: adage, buzzword, hokum, old chestnut, platitude, prosaicism, prosaism, trite phrase, trivia, triviality, truism
Antonyms: coinage, nuance, original saying.

9. Extol(v): to praise highly; laud; eulogize; To place on high; to lift up; to elevate; To elevate by praise; to eulogize; to praise; to magnify.
Synonyms: acclaim, applaud, bless, boost, celebrate, commend, cry up, eulogize, exalt, give a boost to, givea bouquet, glorify, hand it to, hats off to, hear it for, hymn, laud, magnify, panegyrize, pay tribute to, praise, puff up, push, rave, root.
Antonyms: blame, criticize, disparage.

10. Sapient(adj): having or showing great wisdom or sound judgment; acutely insightful and wise; Having great wisdom and discernment.
Synonyms: acute, astucious, astute, cagey*, canny, clear-sighted, clever, contemplative, discerning, discriminating, educated, enlightened, experienced, farsighted, foxy*, informed, insightful, intelligent, judicious, keen, knowing, knowledgeable, perceptive, reflective, sage, scholarly, sensible, sharp, shrewd, smart, thoughtful, wise.

11. Explicate(v): to make plain or clear; explain; interpret; to develop (a principle, theory, etc.); To make clear the meaning of; explain; make plain and comprehensible; elaborate, as of theories and hypotheses; To unfold; to expand; to lay open; To unfold the meaning or sense of; to explain; to clear of difficulties or obscurity.
Synonyms: amplify, clear up, construe, demonstrate, develop, dilate, elucidate, enlarge upon, enucleate, expatiate, explain, expound, give the big picture, illustrate, interpret, make clear, make explicit, make plain, run down, unfold, untangle, work out.
Antonyms: cloud, complicate, confuse, mystify, obscure, tangle.

12. Hackneyed(adj): made commonplace or trite; stale; banal; A coach or carriage for hire; To cause to become banal and trite through overuse; To hire out; let; Overfamiliar through overuse; repeated too often,
Synonyms: antiquated, banal, common, commonplace, conventional, everyday, familiar tune, obsolete, old, old-chestnut, old-hat, old-saw, outdated, outmoded, out-of-date, overworked, quotidian, stale, stereotyped, stock, timeworn, tripe, trite, unoriginal, well-worn.
Antonyms: fresh, new, original, uncommon

13. Exegesis(n): critical explanation or interpretation of a text or portion of a text; Critical explanation or analysis, especially of a text; Exposition.
Synonyms: analysis, critique, explanation, exposition, interpretation.

14. Pontificate(v): to speak in a pompous or dogmatic manner; to express opinions or judgments in a dogmatic way; talk in a dogmatic and pompous manner; the state or dignity of a high priest; specifically, the office of the pope.
Synonyms: address, admonish, dogmatize, evangelize, get on a soapbox, give sermon, harangue, lecture, minister, moralize, preach, pulpiteer, teach.

15. Gregarious(adj): fond of company; pertaining to a flock or crowd; living in flocks or herds, as animals; Seeking and enjoying the company of others; sociable.
Synonyms: affable, clubby, companionable, convivial, cordial, fun, outgoing, sociable, genial, outgoing, convivial, companionable, friendly, extroverted.
Antonyms: cold, cool, introverted, unfriendly, unhospitable, unsociable.

16. Excoriate(v):to denounce or berate severely; flay verbally; to strip off or remove the skin from; to tear or wear off the skin of; abrade; express strong disapproval of.
Synonyms: abrade, chafe, flay, fret, gall, peel, rub, scarify, scratch, skin, strip.

17. Awning(n): a rooflike shelter of canvas or other material extending over a doorway, from the top of a window, over a deck, etc., in order to provide protection, as from the sun; a shelter; a rooflike structure, often made of canvas or plastic, that serves as a shelter, as over a storefront, window, door, or deck.
Synonyms: covering, door cover, marquee, protection, shade, shelter, sunshade, tent.


Analogies:

1. Awning: Sun


Issue Topic:

1. Art reveals the hidden impulses of the society


Argument Topic:

1. The following appeared in a letter to the editor of the Balmer Island Gazette. "The population of Balmer Island increases to 100,000 duing the summer months. To reduce the number of accidents involving mopeds and pedestrians, the town council of Balmer Island should limit the number of mopeds rented by each of the island's six moped and bicycle rental companies from 50 per day to 30 per day during the summer season. By limiting the number of rentals, the town council is sure to attain the 50 percent reduction in moped accidents that was achieved last year in the neighboring island of Torseau, when Torseau's town council enforced similar limits on moped rentals."

1)Scholars should not worry about contribution to society and rather should concentrate on pursuing their individualgoals.(Issue Topic)


2)The study of history is done only on few famous persons.The great achievements of the so called famous is actually achieved by groups of people who have been long forgotten.(Issue Topic)


3)A Work of art like song, literature, sculpture or movie is given merit only if it is understandable to the people.(Issue Topic)

4)It is the artist, and not the critic that gives something valuable to the society.(Issue Topic)**

5)ARGUMENT TOPICS are generally given on current issues and newspapers stories and politics etc..