Mphasis Placement Paper
Mphasis Aptitude Test
1. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A. 1: 3
B. 3: 2
C. 3: 4
D. None of these
Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x meters,
and length of the second train = 17y meters.
.'. (27x + 17y)/(x+y) = 23
=> 27x + 17y = 23x + 23y
=> 4x = 6y
=> x/y = 3/2.
2. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find out the average age of the team.
A. 23 years
B. 20 years
C. 24 years
D. 21 years
Let the average age of the team = x
=> Sum of ages of all 11 members/11 = x.
=> Sum of ages of all 11 members = 11x
Age of the captain = 26
Age of the wicket keeper = 26 + 3 = 29
Sum of the ages of 9 members of the team excluding captain and wicket keeper
=> 11x - 26 - 29 = 11x - 55.
Average age of 9 members of the team excluding captain and wicket keeper
=> (11x - 55)/9.
=> (11x−55)/9 = (x−1).
=> 11x - 55 = 9x - 9.
=> 2x = 46.
=> x = 23.
3. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
L.C.M. of 6, 9, 15 and 18 is 90.
Let required number be 90x + 4, which is multiple of 7.
Least value of k for which (90x + 4) is divisible by 7 is k = 4.
Hence, the required number = (90 * 4) + 4 = 364.
4. P, Q and R started a furniture business and their shares are in the ratio 1/2: 1/3: 1/4, After 2 months, P withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is Qs share?
A. Rs 129
B. Rs 144
C. Rs 156
D. Rs 168
Ratio of initial investments = 1/2: 1/3: 1/4 = 6: 4: 3
Let their initial investments be 6x, 2x and 3x respectively.
P: Q: R = (6x x 2 + 3x x 10): (4x x 12): (3x x 12)
= 42: 48: 36 = 7: 8: 6.
Q's share = Rs. 378 x 8/21
= Rs. 144.
5. A motorboat, whose speed in 15 km/hr. in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr.) is:
A. 2 kmph
B. 3 kmph
C. 4 kmph
D. 5 kmph
Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr.,
Speed upstream = (15 - x) km/hr.
So we know from question that it took 4(1/2) hrs. to travel back to same point.
So,30/(15+x) - 30/(15-x) = 41/2.
=> 900/(225-x^2) = 9/2.
=> 9x^2 = 225.
=> x = 5 km/hr.
6. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Total number of balls = (8 + 7 + 6) = 21.
Let E= event that the ball drawn is neither red nor green= event that the ball drawn is blue.
n(E) = 7.
.'. P(E) = n(E)/n(S) = 7/21 = 1/3.
7. The simple interest on a sum of money is 4/9 of the principal. Find the rate percent and time, if both are numerically equal.
A. 6 years 2 months
B. 6 years 5 months
C. 6 years 8 months
D. None of these
Let sum = Rs. x Then, S.I. = Rs. 4x/9
Let rate = R% and time = R years.
Then, [x * R * R / 100] = 4x / 9 or R² = 400/9 or R = 20/3 = 6 2/3
Rate = 6 2/3 % and Time = 6 2/3 yrs. = 6 yrs. 8 months.
8. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A. 6 days
B. 10 days
C. 15 days
D. 20 days
Time taken by X to complete the work = 20 days
Time taken by Y to complete the work = 12 days’
Work done by X in a day = 1/20
Work done by Y in a day = 1/12
Work done by X in 4 days = 4 * 1/20 = 1/5
Work remaining after 4 days = 1 - 1/5 = 4/5
Work done by X and Y together in 1 day = 1/20 + 1/12 = 2/15
X and Y together complete 2/15 work in 1 day
=> X and Y together complete the work in 15/2 days
=> X and Y together complete 4/5 work = 15/2 * 4/5 = 6 days
So the work is completed in (4 + 6) = 10 days.
9. Hari purchased 20 dozen notebook at Rs. 48 per dozen. He sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is his profit percentage in the transaction?
D. none of the above
CP of 20 dozen = Rs. (48 x 20) = Rs.960
CP of 8 dozen = Rs. (48 x8) = Rs. 384.
CP of 12 dozen =Rs. (960 384) = Rs. 576
Total S.P = Rs. (110/100 x 384 +120/100 x 576) = Rs.1113.60
Profit % = (153.60/960 x 100) % =16%.
10. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
A. 35 years
B. 40 years
C. 50 years
D. None of these
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Hence, Husband's present age = (90 - 50) years = 40 years.
Mphasis Logical Reasoning Test
In a secret language 7 is coded as A, 5 is coded as R, 2 is coded as E, 1 is coded as T, 4 is coded as O, 6 is coded as M and 3 is coded as S. What does 3271 represents?
This is a simple question, just apply the alphabets to the code.
3 represents S, 2 - E, 7 - A, 1 - T.
Hence the code 3217 represents the word SEAT.
In a certain code, TRIPPLE is written as SQHOOKD. How is DISPOSE written in that code?
E. None of these
Each letter in the word is moved one step backward to obtain the corresponding letter of the code.
13. Distance & Direction:
A cyclist goes 30 km to North and then turning to East he goes 40 km. Again he turns to his right and goes 20 km. After this he turns to his right and goes 40 km. How far is from his starting point?
14. Distance & Direction:
Village Q is to the North of the village P. The village R is in the East of Village Q. The village S is to the left of the village P. In which direction is the village S with respect to village R?
15. Blood Relationships:
Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?
C. Father or Uncle
Madhav is the only son of one of the sons of Varman's father → Either Varman is the father or uncle of Madhav.
16. Blood Relationships:
A's son B is married with C whose sister D is married to E the brother of B. How D is related to A?
Since E is the brother of B. Therefore, A is the father of E
But D is the wife of E. Hence, D is the daughter-in-law of A.
17. Critical Reasoning:
Insurance Company X is considering issuing a new policy to cover services required by elderly people who suffer from diseases that afflict the elderly. Premiums for the policy must be low enough to attract customers; therefore, Company X is concerned that the income from the policies would not be sufficient to pay for the claims that would be made.
Which of the following strategies would be most likely to minimize Company X's losses on the policies?
A. Attracting middle-aged customers unlikely to submit claims for benefits for many years.
B. Insuring only those individuals who did not suffer any serious diseases as children.
C. Including a greater number of services in the policy than are included in other policies of lower cost.
D. Insuring only those individuals who were rejected by other companies for similar policies.
18. Statement: The chairman and secretary of the housing society have requested society members to use water economically to help society save on water tax.
(I) Majority of members of society are likely to follow the request.
(II) It is desirable to reduce expenditure wherever possible.
A. Only assumption I is implicit
B. Only assumption II is implicit
C. Either I or II is implicit
D. Neither I nor II is implicit
E. Both I and II are implicit
Nothing about the response of society members can be deduced from the statement so I is not implicit.
But II is implicit.
19. Statement: Water supply in wards A and B of the city will be affected by about 50% on Friday because repairing work of the main lines is to be carried out.
(I) The residents in these wards should economize on water on Friday.
(II) The residents in these wards should store some water on the previous day.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow
20. Statement: The food processing industry was touted to be a sunrise industry for India some years ago and, on the face of it, there was little reason to doubt that
(I) India has an advantage in food processing because of the varied agro-climatic conditions and availability of raw materials.
(II) Food processing is one of the basic industries which supports our lives.
A. If only conclusion I follows
B. If only conclusion II follows
C. If neither I nor II follows
D. If both I and II follow
Mphasis Verbal Ability Test
B. Old age
23. Fill in the blank:
We met __________ the park.
24. Error correction:
He was asking my opinion for the film.
A. opinion on
B. opinion about
C. opinion with
D. No correction.
25. Error Spotting:
These instructions (1)/ are for you (2)/ and I (3)/ not for others. (4)/ No error (5).
E. No error
Replace 'I' with 'me'. The pronoun which is used as the object of a verb or preposition should be in the objective case.
26. Sentence Arrangement:
(A) The two neighbors never fought each other.
(B) Fights involving three male fiddler crabs have been recorded, but the status of the participants was unknown.
(C) They pushed or grappled only with the intruder.
(D) We recorded 17 cases in which a resident that was fighting with an intruder was joined by an immediate neighbor, an ally.
(E) We, therefore, tracked 268 intruder males until we saw them fighting a resident male.
27. Fill in the blank:
_____________ have been to the opera.
A. Neither John nor I
B. Neither I nor John
C. Neither John nor me
D. Neither me nor John
Though the Cold War has ended, selective tactics are still continuing for ensuring the military and economic dominance of developed countries. Various types of technology denial regimes are still being enforced which are now being mainly targeted against developing countries like India.
Today, we in India encounter twin problems. On one side there is a large-scale strengthening of our neighbor through supply of arms and clandestine support to their nuclear and missile programs and on the other side all efforts are being made to weaken our indigenous technology growth through control regimes and dumping of low-tech systems, accompanied with high commercial pitch in critical areas. Growth of indigenous technology and self-reliance are the only answer to the problem. Thus in the environment around India, the number of missiles and nuclear powers are continuously increasing and destructive weapons continue to pile up around us, in spite of arms reduction treaties. To understand and the implications of various types of warfare that may affect us, we need to take a quick look at the evolution of war weaponry and the types of warfare. I am highlighting this point for the reason that in less than a century we could see change, in the nature of warfare and its effects on society. In early years of human history, it was mostly direct human warfare. During the twentieth century up to about 1990, the warfare was weapon-driven. The weapons used were guns, tanks, aircraft, ships, submarines and the nuclear weapons deployed on land/sea/air and also reconnaissance spacecraft. Proliferation of conventional nuclear and biological weapons was at a peak owing to the competition between the superpowers. The next phase, in a new form, has just started from 1990 onwards. The world has graduated into economic warfare. The means used is control of market forces through high technology. The participating nations, apart from the USA, are Japan, the UK, France, Germany, certain, South-East Asian countries and a few others. The driving force is the generation of wealth with certain types of economic doctrine. The urgent issue we need to address collectively as a nation is, how do we handle the tactics of economic and military dominance in this new form coming from the backdoor? Today technology is the main driver of economic development at the national level. Therefore, we have to develop indigenous technologies to enhance our competitive edge and to generate national wealth in all segments of economy. Therefore, the need of the hour is: arm India with technology.
28. Which are the issues of great concern that India is facing at present, according to the author of the passage?
(i) The supply of high-tech weaponry by other countries to India’s neighbors who are likely to use the same against India.
(ii) Other countries secretly helping India’s neighbors to strengthen their nuclear might.
(iii) Obstruction of India’s genuine efforts to develop its own nuclear technology.
A. (i) & (ii) only
B. (ii) & (iii) only
C. (i) & (iii) only
D. All (i), (ii) & (iii)
E. None of these
29. The striking difference in warfare before and after 1990 was the shift from
A. guns, tanks, etc. to nuclear weapons
B. ships and submarines to space crafts
C. weaponry to economic warfare
D. None of these
30. What, according to the author, is the immediate problem to be collectively resolved by our country?
A. To counter the dominance of developed countries through money and muscle power
B. To eradicate poverty and become economically self-reliant.
C. To control the exorbitant rate of population growth
D. To develop indigenous technology to manufacture mightier weapons
E. None of these
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