SECTION 1: LOGICAL REASONING Directions for Questions 1 and 2: In the following statements, a situation is explained in a few sentences, followed by a conclusion. Mark appropriate option
1. Statements: (i) Tobacco grows in a special kind of soil (ii) At some places in Gujarat the soil is different from other places Conclusion: Tobacco can be grown at some places in Gujarat. a. b. c. d.
If the conclusion necessarily follows from the statements If the conclusion is only a drawn one If the conclusion definitely does not follow from statements If the conclusion drawn is doubtful
2. Statements: (i) A is taller than B (ii) B is shorter than C Conclusion: C is equal to A a. b. c. d.
If the conclusion necessarily follows from the statements If the conclusion is only a drawn one If the conclusion definitely does not follow from statements If the conclusion drawn is doubtful
3. Which of the following diagrams depicts the relation between j udge, thief and criminals. a. b. c. d.
4. When the day after tomorrow is yesterday, that day will be as far from Wednesday when the day before yesterday was tomorrow. What day is it? a. Wednesday b. Tuesday
b. Thursday d. Friday 2 s 7
5. The next term in the given sequence , , ,
y
p 5 v 11
a. b. c. d.
B 13 14 z 13 B 14 B
−
, is
6. The missing letters in columns from left to right in order are:
A Y U
I G E C
a. Z, U, L c. Z, R, I
T P N
M K G b. W, R, L d. W, R, I
Directions for Questions 7 to 9: In the following questions two statements are followed by two conclusions. Mark appropriate option
7. Statement 1: All Animals are dogs Statement 2: All Cats are animals Conclusions I: All cats are dogs. Conclusion II: All dogs are cats. a. b. c. d.
If the conclusion I logically follows If the conclusion II logically follows If neither follows logically If both conclusions follow logically
8. Statement 1: No men are animals Statement 2: Some animals are intelligent Conclusion I: Some men are not intelligent Conclusion II: Some intelligent beings are men a. b. c. d.
If the conclusion I logically follows If the conclusion II logically follows If neither follows logically If both conclusions follow logically
9. Statement 1: All chairs are pens. Statement 2: All pens are pencils. Conclusion I: Some pencils are chairs Conclusion II: All chairs are pencils. a. b. c. d.
If the conclusion I logically follows If the conclusion II logically follows If neither follows logically If both conclusions follow logically
10. 2Z5, 7YZ, 14X9, 23W11, 34V13, ? a. b. c. d.
27U24 45U15 47U15 47V14
Directions for questions 11 to 13: Six friends A, B , C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same coder F, who is sitting exactly opposite of A, is to the immediate right of B. D is between A and B and is exactly opposite to C.
11. A is sitting between which of the following pairs of person? a. D and E c. E and C
b. B and E d. B and F
12. Who is sitting opposite to B? a. C c. A
b. F d. E
13. Three of the following are alike in a certain way on the basis of sitting positions and so from a group. Which is the one that does not belong to the group? a. B, C c. B, F
b. A, D d. E, A
14. If ‘lead’ is called ‘stick’, ‘stick’ is called ‘nib’, ’nib is called ‘needle’, ‘needle’ is called ‘rope’ and ‘rope’ and ‘rope’ is called ‘thread’, what will be fitted in a pen to write with it. a. Lead c. Nib
b. Needle d. Thread
15. Deepak is brother of Ravi. Reena is sister of Atul. Ravi is son of Reena. How is Deepak related to Reena? a. Son c. Nephew
b. Brother d. Father
16. In the following series of letters, some definite order determines which are the next two letters in the correct order? AJKTUBILSVCHMRWDGNQEFO? a. PY c. YZ
b. PZ d. ZA
Directions of questions 17 to 20: Six friends P, Q, R, S, T and U are members of a club and play a different game of Football, Cricket, Tennis, Basketball, Basketball, Badminton, and Volleyball. T, who is taller than P and S, plays Tennis. The tallest among the m plays Basketball. The Shortest among them
plays Volleyball. Q and S neither play Volleyball nor Basketball. R plays Volleyball. T is between Q who plays football and P in order of height. 17. Who among them is taller than R but shorter than P? a. Q c. S
b. T d. Can’t find
18. Who will be at the third place if they are arranged in descending order of their heights? a. Q c. S
b. P d. T
19. Who among them plays Basketball? a. Q c. S
b. R d. U
20. What does S play? a. Cricket c. Football
b. Badminton c. Either Cricket or Badminton
SECTION 2: DATA INTERPRETATION Directions for Question 1 to 4: The following figure represents flow of natural gas through pipe lines between major cities P, Q, R, S and T (in suitable units). Assume that supply equals demand. Answer the following Questions.
Q 550
1500 300 750
R
P
T
250 900
S
700
1. What is the number of units consumed in Q? a. 1500 c. 650
b. 850 d. 2350
2. If the number of units consumed in R is 200, what is the value of Y? a. 900 c. 1000
b. 1100 d. 1200
3. If the total demand in T is 80% of demand in P, what is the demand in P? a. 2000 c. 1900
b. 2500 d. 1800
4. What is the total demand in five cities a ssuming demand as given in above questions? a. 5600 c. 5800
b. 6000 d. 6200
Directions for Questions 5 to 8: Study the following graph and the table and answer the questions given below. Total population of the given States = 3276000
Data of Population of States in 1998
Sex and Literacy wise Population Ratio States
U.P. 15%
T.N. 9%
Bihar 11%
A.P. 25%
Goa 12% Delhi 8%
M.P. 20%
Sex
Literacy
M
F
Literate
Illiterate
A.P
5
3
2
7
M.P
3
1
1
4
Delhi
2
3
2
1
Goa
3
5
3
2
Bihar
3
4
4
1
U.P.
3
2
7
2
T.N.
3
4
9
4
5. What will be the percentage of total number of males in U.P., M.P. and Goa together to the total population of all the given states? a. 25% c. 28.5%
b. 27.5% d. 31.5%
6. What was the total number of illiterate people in A.P. and M.P. in 1998? a. 876040 c. 981550
b. 932170 d. 1161160
7. What is the ratio of the number of females in T.N. to the number of females in Delhi? a. 7:5 c. 13:11
b. 9:7 d. 15:14
8. What was the number of males in U.P. in the year 1998? a. 254650 c. 321470
b. 294840 d. 341200
Directions for the questions 9 to 12: From the following data answer the questions 9 to 12.
Roads P, Q and T run from south to north and roads R and S from North to South. The order of the roads from left to right is P, Q, R, S and T. Road U runs from west to east and road V runs in a South-east direction. U, V and T intersect at B. Road W run from East to West. W, V and R intersect at A. All roads are one way roads and the traffic is allowed only in the direction of the road. In going from one point to another no intersection is crossed more than once. 9. How many routes connect the intersection of roads U and R, and T and V? a. 8 c. 4
b. 6 d. None of these
10. How many different routes can one take in going from A to B? a. 1 c. 4
b. 2 d. 3
11. How many routes can one take in going from the intersection of roads T and V? a. 2 b. 3 c. 6 d. 4 12. On taking the longest route from B to A, What is the maximum number of intersections, excluding B and A that one has to cross? a. 2 b. 6 c. 8 d. 4 Directions for Questions 13 to 16: Study the graph representing the production of 4 different fertilizers and answer the questions (lakh tonnes) following that 60 50 50
45
45 40
40
35
40
35
35
35
30 30
25
25
1999 2000
20
2001 10 0
P
Q
R Company
S
13. The production of which company has changed the most between 1999 and 2001? a. P c. R
b. Q d. S
14. What is the ratio of average production by company R in three years to the average production by company S in three years? a. 6:7 c. 8:7
b. 7:8 d. 7:6
15. The average of production for three years was the maximum for which of the following companies? a. P c. R
b. Q d. S
16. For which of the following companies, the percentage rise or fall in production of fertilizers from 1999 to 2000 was the maximum? a. P c. R
b. Q d. S
Directions of Questions 17 to 20: Given below is a graph representing sales, cost and number of employees (in thousands) in a company. Answer the following Questions:
Employee
Sales
Cost
50 45 40 35 30 25 20 15 10 5 0 January
March
May
July
September
17. Which month records the least profit a. September
b. January
November
c. July
d. March
18. In which month the total increase in the total cost is least as compared compare d to two months ago? a. March c. September
b. July d. November
19. Which month has the lowest profit per employee? a. September c. January
b. July d. March
20. Assuming that no employee left the job, what was the percentage increase in the number of the employees in the given period? a. 50% c. 75%
b. 25% d. cannot be determined
SECTION 3: VISUAL RECOGNITION
Directions for Question 1 to 11: Observer the given pattern and find the next figure in sequence 1.
2.
3.
a
b
c
d
a
b
c
d
a
b
c
d
4.
5.
a
b
c
d
a
b
c
d
a
b
c
d
6.
7.
a
b
c
d
a
b
c
d
a
b
c
d
8.
9.
10.
a
b
c
d
b
c
d
11.
a
12. Find out the alternative figure which contains figure (X) as its part.
(X) a. 1 c.3
(1)
(2)
(3)
(4) b. 2 d. 4
13. Find out the alternative figure which contains figure (X) as its part.
(X)
(1)
(2)
(3)
(4)
a. 1 c. 3
b. 2 d. 4
Direction for Questions 14 and 15: In each of the following questions, there is a set of five figures labelled A, B, C, D or E called the problem set followed by a set of four other figures labelled a, b, c and d called the Answer set. fig. C contains a question mark. Select a suitable figure from the answer set which will substitute this question mark so that a series is formed by the figures A, B, C, D and E taken in order the number of selected figure is the answer. 14.
A
B
C
D
a
b
c
d
A
B
C
D
a
b
c
d
E
15.
16. Choose the set of figures which follows the given rule. Rule: The series becomes complex as it proceeds.
E
a. 1 c. 3
b. 2 d. 4
17. Find the total number of squares formed in figure? 2
1
5
9
3
6
10
4
7
8
11 11
12
13
14
15
16
17
18
19
20
a. 40 c. 60
b. 50 d. 30
18. What is the number of triangles in figure?
a. 32
b. 36
c. 40
d. 56
19. Count the number of triangles in fig. 1
2
3 5 6
4 8
9 10
7
11
15 12
13
14
a. 40 c. 30
b. 48 d. 50
20. What is the number of squares in fig?
a. 12 c. 15
b. 13 d. 17
SECTION 4: MATHEMATICS
− − 2 > 0 then a. > − b. − < < c. > < d. > If + and − a. = 4 b. = 2 c. = d. 4 =
1. If 21
2
2 7
2 7
1 3 1
1 3
2 7
3
2.
2=90
2=30 then
3. Trapezoi Squar
Quadrilate
Rectangle
Rhombuse
According to the diagram given above, which statement is not correct? a. b. c. d. 4. If
Every rhombus is a square. No square is a trapezoid. Every square is a rectangle No rectangle is a trapezoid
= {: ∈ , > 0}, = {: ∈ , < 1} then ∩ is equal to a. b. c. d.
{0} (0,1) {0,1} {}
5. The number of rectangles on the chess board is a. b. c. d.
5184 1296 81C4 81P4
6. If
+ = , + = then (tan ) is equal to a. tan + tan b. tan + 2 tan c. 2(tan + tan ) d. 2tan + tan 2
7. There are 5 locks and their corresponding 5 keys. The maximum number of trials one should make to establish the correspondence between the locks and keys are: a. b. c. d.
5! 55 5×2 5×5
8. Range of function 7 a. b. c. d.
− − −
is
{1,2,3} {1,2,3,4} {1,2,3,4,5} {1,2,3,4,5,6}
9. For an acute angle , sin a. b. c. d.
3
+ cos takes greater value when is
60˚ 90˚ 45˚ 30˚
10. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B is 308 seconds and C in 198 seconds, all starting at the same time point. After what time, will they meet again at the starting point? a. b. c. d.
46 min 18 sec 12 min 38 sec 2 hours 46 min 12 sec
11. A swimming pool 10m wide and 16m long is 1m deep on the shallow side and 4m deep on the deeper side, Its volume is a. b. c. d.
480m3 400m3 320m3 196m3
12. If ( ) = log
− then can be written as 1+
2
1+ 2
1
− b. log c. log −− d. 2log 13. If = = and = then y=equals a. 2 ( )
2
1
1+ 1+ 2 1
2
1
1+ 3
a. b. c. d.
2
2+ − 2 + 2( + )
14. In how many ways 3 scholarships can be awarded to 5 students when each student is eligible for any number of scholarships? a. 15 b. 53 c. 35 d. 5P3
a. () = (− ) b. (3 + ) = (3 − ) c. ( + 3) = ( − 3) d. (3 + ) = ( − 3)
15. Graph of ( ) is symmetrical about x=3, then
16. On an Argand plane, OPQ is an equilateral triangle. If polar form of point P is given as (cos + sin ) then polar form of point Q will be
a. (cos( + ) + sin( + )) b. + (cos + sin ) c. (cos � − + sin � − ) d. (cos + sin ) 17. If α and β are the roots of the equation + + = 0 where b≠0 then the roots of the equation + + 1 = 0 are a. 3
3
3
3
3
3
3
2
2
2
b.
1
2
2
,
1
2
c. d.
, 1 1 , 25 is √ −64 − 2√ −81 − √ 25
18. Simplest form of expression 7
− −− −−
a. 5+38 b. 5 38 c. 5 74 d. 33
19. The set of real numbers belonging to interval (1,2) is a. b. c. d. 20. If
A finite set {1,2} An infinite set A null set
arg( ) = then polar form of is ( ) = 4 and arg( a. 2(cos + sin ) √ √ (cos + sin ) b. 2 (cos (cos + sin ) c. 2 (cos √ √ d. 2 (cos (cos + sin ) 2
2
4
2
2
4
8
8
4
8
8
SECTION 5: ENGLISH Directions for questions 1-7: Read the comprehension and answer the question on the basis of the comprehension. Eleanor Roosevelt Speaks to the Members of the American Civil
Liberties Union, Chicago, IL, March 14, 1940 I. Now I listened to the broadcast this afternoon with a great deal of interest. I almost forgot what a fight had been made to assure the rights of the working man. I know there was a time when hours were longer and wages lower, but I had forgotten just how long that fight for freedom, to bargain collectively, and to have freedom of assembly, had taken. II.
Sometimes, until some particular thing comes to your notice, you think something has been won for every working man, and then you come across, as I did the other day, a case where someone had taken the law into his own hands and beaten up a labor organizer. I didn’t think we did those things any more in this country, but it appears that we do. Therefore, someone must be always on the lookout to see that someone is ready to take up the cudgels* to defend those who can’t defend themselves. That is the only way we are going to keep this country a lawabiding country, where law is looked upon with respect and where it is not considered nece ssary for anybody to take the law into his own hands. The minute you allow that, then you have acknowledged that you are no longer able to trust in your courts and in your law-enforcing machinery, and civil liberties are not very well off when anything like that happens; so I think that after listening to the broadcast today, I would like to remind you that behind all those who fight for the Constitution as it was written, for the rights of the weak and for the preservation of civil liberties, we have a long line of courageous people, which is something to be proud of and something to hold on to. Its only value lies, however, in the fact that we profit by example and continue the tradition in the future.
III.
We must not let those people break us down; we must have courage; we must not succumb to fears of any kind; and we must live up to the things that we believe in and see that justice is done to the people under the Constitution, whether they belong to minority groups or not. This country is a united country in which all people have the same rights as citizens. We are grateful that we can trust in the youth of the nation that they are going on to uphold the real principles of democracy and put them into action in this country. They are going to make us an even more truly democratic nation. * cudgels: short, heavy clubs. 1. The relationship between succumb and overcome is the same as the relationship between a. minority and citizens c. bound and free
b. fight and struggle d. conquer and destroy
2. The repetition of the word “fight” is used to support which central theme in Roosevelt’s speech? a. becoming a U.S. citizen b. protecting civil liberties c. looking out for foreign countries
d. ensuring the division between church and state 3. Roosevelt argues that citizens should not take the law into their own hands because a. b. c. d.
doing so leads to mob violence enforcing the law is the government’s job people should fight with words rather than violence people have to defend themselves rather than depend on others
4. In the middle of paragraph 2, Roosevelt implies that “you have acknowledged that you are no longer able to trust in your courts and in your law-enforcing machinery” when you allow individuals a. b. c. d.
to speak and assemble freely to organize as labor unions to take the law into their own hands to think that justice will always prevail
5. Read these lines from the beginning of paragraph 3. “We must not let those people in back of us down; we must have courage; we must not succumb to fears of any kind; and we must live up to the things that we believe in and see that justice is done . . .” Roosevelt’s use of repetition in phrasing and structure in these lines creates: a. b. c. d.
a hostile tone that increases in anger an objective tone based on facts a sympathetic tone supported by example a persuasive tone that builds with intensity
6. Roosevelt’s reference to youth at the end of her speech is a. an appeal to authority c. a summary
b. a reassurance d. an accusation
7. The reader can infer from the speech that Roosevelt believes that the majority of Americans are a. intimidated c. violent
b. law-abiding d. hardworking
8. Choose the correct sentence a.
Sometimes the affects of our generosity may seem minimal, but our good intentions do make a difference b. Sometimes our generosity effects others minimally, but our good intentions do make a difference c. Sometimes the effects of our generosity may seem minimal, but our good intentions do make a difference
d. Sometimes the effects of our generosity may seem minimal, but our good intentions do effect others 9. Choose the correct sentence a. b. c. d.
Neither Jai nor I am playing hooky Neither Jai nor I is playing hooky Neither Jai nor I are playing hooky Neither Jai nor I were playing hooky
10. Choose the correct sentence a. b. c. d.
She and he are always fighting She and him are always fighting Her and him are always fighting Him and her are always fighting
11. Choose the correct sentence a. b. c. d.
She is the only professor who does what it takes to help her students learn joyfully. She is the only professor who do what it takes to help her students learn j oyfully. She is a professor who do what it takes to help her students learn j oyfully. She is one of many professors who does what it takes to help her students learn j oyfully.
12. Looking at the barren fields, I wondered why the farmer left them _____ and didn't plant anything cool yet. Which word BEST COMPLETES this sentence? a. rigorous c. coerce
b. inclement d. fallow
13. After I accidentally kicked her in the teeth, I decided to _____ the situation by paying for a new set of false teeth. Which word BEST COMPLETES this sentence? a. refined c. redress
b. urbane d. exhilarate
14. Which word MOST NEARLY MEANS: (adj.) “Filled with or motivated by devotion and eagerness to a cause” a. fervent c. emaciated
b. compatible d. zealous
15. Fill in the blanks with the correct word viewing the performance of the play ‘Andha Yug’____________ Yug’____________ my soul. a. exhilirated c. exhiliarated
b. exhilarated d. exihiarated
16. ‘We’re hoping our plans for the event cover all bases.’ bases.’ Choose the correct explanation for the underlined idiom a. b. c. d.
leave us thoroughly prepared a plan on each base cover the base of the auditorium plan a new base
Directions for Question 17 to 20: Read the sentences to find out whether there is an error in any part. No sentence has more than one error. If there is no error in the sentence, signify a “No error” response.
17. a. This T.V. serial / b. is going on / c. for three years / d. No error 18. a. Despite of repeated warnings / b. he did not study / c. for the exam / d. No error 19. a. He asked me / b. if I know / c. where Mr. Roy lived / d. No error 20. a. One of these boys / b. know where the / c. treasure is hidden / d. No error
