# Essar Quantitative Aptitude - 10 February 2008

Posted on :18-02-2016
Essar Placement paper - 10 February 2008:-

Quantitative Aptitude:-

Q1. Two radios and one calculator can cost Rs.3300, while two calculators and one radio cost Rs.5400. What is the price of a radio?

1. Rs. 2500
2. Rs. 700
3. Rs. 400
4. Rs. 1100
5. None of these

Q2. Two pipes A and B can fill a tank independently in 20 minutes and 30 minutes respectively. If both the pipes were used together, how long would it take to fill the tank?

1. 12 min
2. 15 min
3. 25 min
4. 50 min
5. None of these

Q3. Ashutosh purchased a motor cycle at (13/15)th of its selling price and sold it at 12% more than its selling price. Ashutoshs net gain is:

1. 20%
2. 29.23%
3. 30.67%
4. 38.13%
5. None of these

Q4. A mother is three times as old as her son. After 15 years she will be twice as old as her son. What is the present age of the mother in years?

1. 40
2. 50
3. 60
4. 70
5. None of these

Q5. 20 transistors go in a box and two dozen boxes are packed in a carton. How many cartons will be needed to pack 1920 transistors?

1. 96
2. 12
3. 8
4. 4
5. None of these

Q6. On selling 17 balls at Rs. 720/-, there is a loss equal to the cost price of 5 balls. The cost price of a ball in rupees is:

1. 45
2. 50
3. 55
4. 60
5. None of these

Q7. The difference between simple and compound interests compounded annually on certain sum of money for two years at 4% per annum is Rs. 1/-. The sum in Rs. is:

1. 625
2. 630
3. 640
4. 650
5. None of these

Q8. A student got thrice as many marks in Arithmetic as in English. If the total of his marks in the two subjects is 128, how many marks did he get in English?

1. 32
2. 64
3. 96
4. 16
5. None of these

Q9. A started business investing Rs.6000/-. Three months later B joined him investing Rs.4000/-. If they make a profit of Rs.5100/- at the end of the year, how much should be Bs share?

1. Rs. 1700
2. Rs. 3400
3. Rs. 1300
4. Rs. 1732.75
5. None of these

Q10. The sum of the squares of three consecutive natural numbers is 2030, then the middle number is:

1. 24
2. 26
3. 25
4. 27
5. None of these

Q11. Which number should replace both the question marks in ? / 32 = 392 / ?

1. 112
2. 32
3. 16
4. 196
5. None of these

Q12. ? / 0.81 = 300

1. 2700
2. 270
3. 33.33
4. 540
5. None of these

Q13. How many of the following numbers are divisible by 3 and not by 9?
2133, 2343, 3474, 4131, 5286, 5340

1. 2
2. 3
3. 4
4. 6
5. None of these

Q14. An alloy is to contain copper and zinc in the ratio 9 : 5. How much zinc is required to be melted with 24 kg of copper?

1. 43.00
2. 43.20
3. 44.00
4. Can not be determined
5. None of these

Q15. The average age of 28 employees is 23 years. If the managers age is also included, the average age increases by one year. What is the managers age in years?

1. 28
2. 51
3. 52
4. 53
5. None of these

Q16. ? x 15 = 65% of 300

1. 195
2. 130
3. 2925
4. 13
5. None of these

Q17. A man in a train notices that he can count 20 electric poles in one minute. If the poles are 40 meters apart, what is the speed of the train in Km/Hr?

1. 60
2. 45
3. 48
4. 54
5. None of these

Q18. The difference between a number and its four-fifth is 25. What is the number?

1. 75
2. 100
3. 125
4. 150
5. None of these

Q19. If 3690 / 20.5 = 180; 36.90 / 2.05 =?

1. 0.18
2. 1.8
3. 18
4. 1800
5. None of these

Q20. A batsman scored 150 runs which included 5 boundaries, 2 sixes and other singles. What percentage of his total score did he make by running between the wickets?

1. 78.66
2. 75.66
3. 80.66
4. 82.66
5. None of these

Q21. The difference between squares of two consecutive even numbers is always divisible by:

1. 3
2. 4
3. 5
4. 2
5. None of these

Q22. If 24 men do a work in 40 days, in how many days will 30 men do it?

1. 30
2. 28
3. 26
4. 34
5. None of these

Q23. (16 X 16 â€“ 56) / [(13 X 12) - (8 X 7)] =?

1. 4
2. 20
3. 200
4. 100
5. None of these

Q24. The interest on a certain deposit at 4.5 p.c.p.a is Rs.202.50 in one year. How much will the additional interest be in one year on the same deposit at 5 p.c.p.a?

1. 20.25
2. 22.50
3. 225
4. 427.5
5. None of these

Q25. Which of the following number will be wrong in the number series?
7 13 22 31 49 67 88

1. 13
2. 21
3. 31
4. 49
5. 67

ANALYTICAL REASONING:-

Q26.  If A ^ B means A is the father of B A < B means A is the sister of B, A > B means A is the brother of B, then how is P related to R in the following codified relationship?
R < S ^ P > T

1. Aunt
2. Cousin
3. Niece
4. Nephew
5. None of these

Q27. In a certain code ASHOK is written as LMIQB, how will MEDHA be written in that code?

1. BFCDN
2. BFECN
3. BFEFN
4. BIECN
5. None of these

Q28.  If Y denotes /, Q denotes x, and T denotes +, then 15Q13Y3T6 =?

1. 65
2. 591
3. 71
4. 946
5. None of these

Q29. Four of the following five English words are alike in a certain way and so form a group. Which is the one that does not belong to that group?

1. C-G
2. T-X
3. E-I
4. J-N
5. M-Q

Q30. Given that Mountain is greater than or equal to Tree, Tree is smaller than Ocean, and Ocean is not greater than River, which of the following statements can be definitely TRUE?

1. Mountain is either greater than or equal to River
2. River is either smaller than or equal to Tree
3. River is greater than Tree
4. Mountain is either greater than or equal to Ocean
5. None of these

Q31. In a certain game, if a person steps on the particular square he gets one rupee and every time he misses the particular square he has to pay one rupee. He is allowed to try 100 times and gets an amount of Rs. 40. How many times did he step on the particular square?

1. 75
2. 65
3. 55
4. 60
5. 70

Q32. STATE is related to ESTATE in the same way as TUMBLE is related to ________?

1. Fumble
2. Crumble
3. Stumble
4. Mumble
5. Humble

Q33. If the first and the third letters in the word CONTRIBUTION were interchanged, also the second and fourth letters, the fifth and seventh and so on, which letter would be eighth, counting from your left?

1. I
2. B
3. U
4. R
5. None of these

Q34. If the following alphabet were written in the reverse order, which will be the fifth letter to the right of the eleventh letter from the left?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

1. J
2. K
3. L
4. P
5. U

Q35. In a certain code LARGEST is written as SRDFQZK. How would RATION be written in the code?

1. MNHSAQ
2. MNISZQ
3. MNHDZQ
4. MNHSZQ
5. None of these

Q36. t is in Often in the same way as h is in ________?

1. Inhibit
2. House
3. Enhance
4. Hope
5. Hour

Description for Q 37 - 40:-

These questions are based on the following series of elements (English letters, numerals and symbols).

A B 8 @ E 2 \$ + 5 J 3 6 M * % P 7 9 S 4 U ? 1 X { }

Q37. If this series is of English alphabet, in which some letters are represented by numerals or symbols, which letter is represented by the element which is exactly midway between11th element from the left and the 10th element from the right?

1. L
2. Q
3. O
4. N
5. None of these

Q38. If numbers from 1 to 9, in the serial order, expresses the English letters that appear in the above series, what will be the sum of all the numerals, the old and the new together?

1. 90
2. 45
3. 36
4. 18
5. None of these

Q39. If the first two elements interchange their positions, the third and the fourth elements interchange their positions, and so on and so forth, which of the following triplet will show the exact sequence of the three elements in the new arrangement?

1. X 1 {
2. 5 6 3
3. P M %
4. * P M
5. None of these

Q40. How many such letters are there in the above series, each of which is immediately preceded by a numeral and immediately followed by a symbol?

1. 2
2. 3
3. 4
4. 5
5. None of these

Description for Q 41 - 45:-

(A) A Cultural Organization desires to organize a programme of two categories, Viz.: Classical Dance performances and Music Concerts in a week commencing from Sunday to Saturday.
(B) There will be four dance performances viz: Kathakali, Bharatnatyam, Katthak and Oddyssi, and three musical concerts : Pure Classical, Semi Classical and Light music.
(C) Of these seven performances, no two of the same category will be organized on two consecutive days.
(D) The programme is to start with Kathakali, and Semi-Classical is to be organized on the middle day of the week.
(E) Bharatnatyam is to be organized on the previous day of Pure Classical.

Q41. Which of the following can be the last programme of the week?

1. Oddyssi or Katthak
2. only Oddyssi
3. only Pure classical
4. Can not be determined
5. none of these

Q42. Katthak can be organized on:

1. only Thursday
2. only Friday
3. only Saturday
4. on Tuesday or Saturday
5. None of these

Q43. Bharatnatyam can be organized on:

1. only Tuesday
2. only Friday
3. only Thursday
4. cannot be determined
5. None of these

Q44. If the programme is required to start with Pure Classical on Sunday, which of the conditions given above can NOT be adhered to?

1. Only (E)
2. Only (C)
3. Only (D)
4. Can not be determined
5. None of these

Q45. With the given specifications, the only programme that can be arranged on Monday is:

1. Semi classical
2. Light music
3. Pure classical
4. Can not be determined
5. None of these

Description for Q 46 - 50:-

In each question below are given three statements followed by three conclusions, which are numbered I, II and III. Assuming that all the given statements are True, decide which of the given conclusions logically follow(s) from the given statements.

Q46. Statements:
Some flowers are gifts. All gifts are books. All books are tables.

Conclusions:
I. Some tables are flowers.
II. Some flowers are tables.
III. All tables are books.

1. Only I follows
2. Only II follows
3. Only I and II follow
4. Only II and III follow
5. None of these

Q47. Statements:
All principals are teachers. All teachers are schools. All schools are grounds.

Conclusions:
I. Some teachers are grounds.
II. All teachers are principals.
III. All principals are grounds.

1. Only I and II follow
2. Only I and III follow
3. Only II and III follow
4. None follows
5. All follow

Q48. Statements:
All fans are phones. All phones are letters. Some letters are bulbs.

Conclusions:
I. Some letters are phones.
II. Some phones are fans.
III. All fans are letters

1. Only I follows
2. Only II follows
3. Only III follows
4. Only II and III follow
5. None follows

Q49. Statements:
Some banks are factories. Some factories are offices. All offices are prisons

Conclusions:
I. All prisons are factories.
II. Some Banks are prisons.
III. Some offices are banks.

1. None follows
2. All the three follow
3. Only I and II follow
4. Only II and III follow
5. Only I and III follow

Q50. Statements:
Most psychologists are historians. No historian is economist. All economists
are psychologists.

Conclusions:
I. Some historians are psychologists
II. All psychologists are economists
III. No economist is historian.

1. Only II follows
2. Only I and II follow
3. Only II and III follow
4. Only I and III follow
5. None of these

Description for Q51 - 55:-
In the following questions the symbols <, >, &, Â£ and ? are used with the following meaning:

A > B means A is smaller than B
A < B means A is greater than B
A & B means A is either greater than or equal to B
A # B means A is either smaller than or equal to B
A ? B means A is equal to B
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I & II given below them is/ are definitely true?

Q51. Statement:
Y # W, W ? X, X & U

Conclusions:
I. Y > X
II. Y ? X

1. Only Conclusion I is true
2. Only Conclusion II is true
3. Either Conclusion I or Conclusion II is true
4. Neither Conclusion I nor Conclusion II is true
5. Both the Conclusions I and II are true

Q52. Statement:
E & C, L < Z, C > Z

Conclusions:
I. E < Z
II. L < C

1. Only Conclusion I is true
2. Only Conclusion II is true
3. Either Conclusion I or Conclusion II is true
4. Neither Conclusion I nor Conclusion II is true
5. Both the Conclusions I and II are true

Q53. Statement:
J & I, C > O, I < O

Conclusions:
I. C > J
II. C > I

1. Only Conclusion I is true
2. Only Conclusion II is true
3. Either Conclusion I or Conclusion II is true
4. Neither Conclusion I nor Conclusion II is true
5. Both the Conclusions I and II are true

Q54. Statement:

C < L, Z > J, L & Z

Conclusions:
I. L > J
II. C < J

1. Only Conclusion I is true
2. Only Conclusion II is true
3. Either Conclusion I or Conclusion II is true
4. Neither Conclusion I nor Conclusion II is true
5. Both the Conclusions I and II are true

Q55. Statement:
J > S, S ? Z, Z > W

Conclusions:
I. Z ? J
II. W > J

1. Only Conclusion I is true
2. Only Conclusion II is true
3. Either Conclusion I or Conclusion II is true
4. Neither Conclusion I nor Conclusion II is true
5. Both the Conclusions I and II are true

Description for Q 56 - 60:-
In each question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement. Give answer

(1) if only assumption I is implicit.
(2) if only assumption II is implicit
(3) if either I or II is implicit;
(4) if neither I nor II is implicit
(5) if both I and II are implicit.

Q56. Statement:
What is needed at the center to-day is the will and determination to govern and not authoritarian government.

Assumptions:

I. Authoritarianism and effective governance go hand in hand.
II. Will and determination to govern and non-authoritarian government are the two sites of the same coin.

Q57. Statement:
If you want to understand the determinants of effective leadership, this is one of the available books.

Assumptions:

I. If is essential for everyone to understand the determinants of effective leadership.
II. Wrong understanding may be gained if this book is not read.

Q58. Statement:
The only way to contain the circulation of black money in the market is to make the tax laws more liberal and user friendly.

Assumptions:

I. Tax laws in India are draconian and inadequate.
II. Circulation of black money in the market is undesirable.

Q59. Statement:
Teachers of many schools and colleges are breaking all norms of the profession and provoking unnecessary controversies by entering into the active party politics.

Assumptions:

I. Teachers should be above party politics.
II. Teachers should take part in social activities rather than party politics.

Q60. Statement:
India needs competent manpower just as urgently as it needs massive capital inflow for rapid economic development.

Assumptions:
I. India cannot achieve fast economic growth without massive does of capital.
II. Competent manpower is necessary for rapid economic development.

Description for Q 61 - 65:-

Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and

Give answer (1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (3) if the data in Statement I alone OR in Statement II alone are sufficient to answer the question.
Give answer (4) if the data in both the Statements I and II are not sufficient to answer the question.
Give answer (5) if the data in both the Statements I and II together are necessary to answer the question.

Q61. In a seven-storey building with one flat on each storey, who among A, B, C, D, E, & F occupies the middlemost flat?

I. A and D occupy the flats on the two extremes storeys and they have C and E as their immediate neighbors.
II. The flat occupied by B is not in the middle.

Q62. What is the area of a circular playground that has a wire fencing around it?

I. The cost of fencing was Rs. 15, 626 at the rate of Rs. 35 per Kg.
II. The fencing is 63 meters away from the center of the playground.

Q63. If 6 5 9 stands for we are healthy, which digit stands for healthy?

I. 5 7 stands for healthy habits.
II. 693 stands for we are busy.

Q64. Which code stands for Brazil in a code language in which Mob stands for Argentina?

I. Dip Mob Nod denotes Brazil defeated Argentina, in that code.
II. Italy defeated Argentina is denoted by  Sip Dip Mob in that code.

Q65. Who among A, B, C, D and E is the tallest?

I. E is taller than three of them but not as tall as A.
II. B is taller than D and C; but not tall as A.

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