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Essar Aptitude Questions
Posted on :18-02-2016
Essar Placement Paper:-
Q1. If a2 + b2 + 4c2 = 2(a + b – 2c) – 3 and a, b, c are real, then the value of (a2 + b2 + c2) is
a) 2b) 2 1/4c) 3d) 3 1/4
Q2. An equation of the form ax + by + c = 0 where a = 0, b = 0, c = 0 represents a straight line which passes through
a) (0, 0)b) (3, 2)c) (2, 4)d) None of these
Q3. If (4x - 3)/x + (4y - 3)/y + (4z - 3)/z = 0, then the value of 1/x + 1/y + 1/z is
a) 4b) 6c) 9d) 3
Q4. The simple interest on Rs. 4000 in 3 years at the rate of x% per annum equals the simple interest on Rs. 6000 at the rate of 12% per annum in 2 years. The value of x is
a) 8%b) 9%c) 10%d) 6%
Q5. A number x when divided by 289 leaves y as a remainder. The value of y is
a) 3b) 1c) 5d) 2
Q6. In a triangle ABC, A = 90°, C = 55°, AD bar BC bar. What is the value of BAD?
a) 45°b) 55°c) 35°d) 60°
Q7. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
a) -4/8b) 2/7c) 3/8d) 3/7
Q8. If x2 = y + z, y2 = z + x and z2 = x + y then the value of 1/(1+x) + 1/(1+y) + 1/(1+z) is
a) 2b) 0c) -1d) 1
Q9. Find the simplest value of 2Sqrt50 / Sqrt18 - Sqrt72 (given Sqrt2 = 1.414)
a) 10.312b) 8.484c) 4.242d) 9.898
Q10. If x2 - 3x + 1 = 0, then the value of x2 + x + 1/x + 1/x2 is
a) 6b) 8c) 10d) 2
Q11. In a certain code language lik dye pin means eat and drink, pin bit sem means, drink hot milk and lik sem ani means milk and curd. What is the code for eat
a) likeb) dyec) pind) Data inadequate
Q12. If the password is some men not great writers are for the keyword some writers are not great men, what will be the password for the keyword children like to play and read?
a) children play and read like tob) children to play and like readc) children read and play to liked) children read play and like to
Q13. Starting from a point S, Ritesh walks a distance of 5 km South, then turns to his right and walks 3 km. From there he again turns right and walks 5 km. He then turns to his left and walks 5 km. How far is he from the starting point and in which direction?
a) 5 km westb) 3 km Northc) 3 km Eastd) 8 km West
DIRECTIONS for questions 14 to 17:
Read the following information carefully and answer the questions given below them:
There are six members - P, Q, R, S, T and U - in a family. Each member of the family has two jobs; one main job and other part time job. Painting is the part-time job of S, but two members pursue it as main job. Q,T and U do electrical works as one of their jobs. Us main job is computer programming and R and T do it as their part time job. P is both painter and typist and the part-time job of P is the main job of S and vice-versa. Career counseling is the part time job of only one member. The only female member in the family has typing as her main job.
Q14. Disregarding the main job and part time job criteria, who among the following pursue the same job combination as that of U?
a) Pb) Rc) Td) Se) None of these
Q15. What is the main job of R?
a) Paintingb) Electric Workc) Computer programmingd) Career counselinge) Typing
Q16. Which of the following groups has painting as their main job?
a) P, R & S onlyb) Q, R & S onlyc) R & S onlyd) Q & R onlye) P & R only
Q17. Who among the following is the only female member in the family?
a) Pb) Qc) Td) Se) None of these
Q18. In a class, Mohit ranks 14th from the top and 21st from the bottom. How many students are there in the class?
a) 34b) 35c) 33d) 36
Q19. If both the statements: Some toys are boxes and All boxes are jeeps are true, then which of the following can definitely be inferred?
a) All jeeps are boxesb) All toys are boxesc) Some toys are jeepsd) All toys are jeeps
Q20. If it is possible to make a meaningful word with the third, the fifth, the sixth and the ninth letters of the word FIGURATION using each letter only once, mark last letter of that word as your answer. If more than one word can be made mark X as your answer and if no such word can be made mark M as your answer.
a) Xb) Mc) Od) R
DIRECTIONS for questions 21, 22: Fill in the blanks with the most appropriate word.
Q21. In large cities, the number of family-owned grocery stores has fallen so sharply that the opportunity to shop in such a place is _____ occasion.
a) a celebratedb) an oldc) a fancifuld) a rare
Q22. His attempt to _______ his guilt was betrayed by the tremor of his hand as he picked up the paper.
a) extenuateb) determinec) conceald) intensify
DIRECTIONS for questions 23, 24:
Part, or all, of each sentence is underlined. Following the sentence, four versions of the underlined portion are presented. Choice (I) repeats the original; the other choices are different If you think a better sentence can be found in Choices (2), (3), (4), then choose one of them. If the sentence is correct as stated, your answer will be Choice (I).
Q23. Unfamiliar with New York, Mohsin checked carefully the map before boarding the A train.
a) Mohsin checked carefully the map before boardingb) Mohsin carefully checked the map before boardingc) Mohsin checking carefully the map before boardingd) Mohsin, before boarding, carefully checked
Q24. Tanya barely took 15 minutes to finish her essay, a fact that amazed her friends and worried her not at all.
a) Tanya barely took 15 minutes to finish her essay,b) Only 15 minutes did it take Tanya to barely finish her essay,c) Tanya barely took 15 minutes to finish her essay;d) Tanya took barely 15 minutes to finish her essay,
DIRECTIONS for questions 25 to 27:
Read the following passage carefully and choose the best option from the choices given.
The attraction of gold is as old as history. Since ancient times, gold has been the object of dreams and obsessions. Western literature is full of characters who kill for gold or hoard it, from King Midas in the ancient Greek myths, to Fagin in Dickens Oliver Twist. These characters go to evil extremes to get or keep their gold and they get the punishment they deserve. Most people would not be willing to go to such extremes, of course, but they would not question the assumption that gold has lasting value above and beyond any local currency. Societies change over time, customs and currencies evolve, but gold remains. A wedding ring, for example, must be gold, and so should any serious gift of jewellery. In fact, giving and wearing gold is still a mark of prestige in our postindustrial society.
Q25. Of the various historical markers in the passage which is the second oldest
a) King Midasb) Faginc) Postindustrial societyd) the question is invalid because all of these refer to the same historical period
Q26. This passage is obviously incomplete. Which of the following endings best fits the logic of the paragraph?
a) thought gold is no longer valued as it used to beb) even if most people prefer to wear silverc) whereas in the past, gold was not so valuabled) just as it has been for thousands of years
Q27. What does prestige, a word that occurs in the last sentence also mean?
a) Kudosb) Heraclesc) Mercuriald) Reverie
DIRECTIONS for questions 28 to 30:
Every sentence below contains either one error or no error. None of the sentences contains more than one error. If the sentence contains an error, it will be in one of the underlined parts of the sentence. You should find the part of the sentence that needs to be changed to make the sentence correct. If you think the sentence is correct as written, select Choice (4), no error.
Q28. The debate team, which(1) included Shikha and I(2), was stuck on the bus for more than two(3) hours. No error(4)
a) 1b) 2c) 3d) 4
Q29. By the time he reached the island, Danish had already swam(1) further than anyone(2) else ever had(3). No error(4)
a) 1b) 2c) 3d) 4
Q30. Far from(1) being a liberal fanatic, Devansh actually espouses very conservative views(2) on social and economic(3) issues. No error(4)
a) 1b) 2c) 3d) 4
Q31. Floating of a currency leads to
a) Devaluationb) Revaluationc) Over valuationd) Either devaluation or revaluatione) Either revaluation or over-valuation
Q32. Which one of the following materials will have lowest cutting speed?
a) Mild steelb) Aluminiumc) Brassd) High carbon steel
Q33. A fly cutter is used on
a) Latheb) Shaperc) Milling machined) Slottere) Planer
Q34. Which adhesive is used for plywood work
a) Gumb) guar gumc) fevicold) Castor oile) Any greasy material
Q35. Brown and Sharpe taper is generally used in
a) lathesb) Drillsc) Shapersd) Milling machinese) Broaching Mach
Q36. The mode is
a) Same as medianb) The arithmetic average of the distributionc) The geometric average of the distributiond) The score with greatest frequency of distribution