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Placement Papers Mphasis

13908.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:
1: 3
3: 2
3: 4
None of these
Explanation:

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.

$\therefore$ (27x + 17y)/(x+y) = 23

=> 27x + 17y = 23x + 23y

=> 4x = 6y

=> x/y = 3/2.

13909.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.
23 years
20 years
24 years
21 years
Explanation:

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.

Given that,

=> (11x-55)/9 = (x-1).

=> 11x - 55 = 9x - 9.

=> 2x = 46.

=> x = 23.

13910.The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
74
94
184
364
Explanation:

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 $\times$ 4) + 4 = 364.

13911.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?
Rs 129
Rs 144
Rs 156
Rs 168
Explanation:

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.

Qs share = Rs. 378 x 8/21

= Rs. 144.

13912.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:
2 kmph
3 kmph
4 kmph
5 kmph
Explanation:

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.

13913.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?
1/3
8/11
2/11
4/15
Explanation:

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.

$\therefore$ P(E) = n(E)/n(S) = 7/21 = 1/3.

13914.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.
6 years 2 months
6 years 5 months
6 years 8 months
None of these
Explanation:

Let sum = Rs. x Then, S.I. = Rs. 4x/9

Let rate = R% and time = R years.

Then, [x $\times$ R $\times$ R / 100] = 4x / 9 or $R^2$ = 400/9 or R = 20/3 = 6 2/3

Rate = 6 2/3 % and Time = 6 2/3 yrs. = 6 yrs. 8 months.

13915.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?
6 days
10 days
15 days
20 days
Explanation:

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 $\times$ 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 $\times$ 4/5 = 6 days

So the work is completed in (4 + 6) = 10 days.

13916.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?
8%
15%
16%
none of the above
Explanation:

CP of 20 dozen = Rs. (48 x 20) = Rs.960

CP of 8 dozen = Rs. (48 x 8) = 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%.

13917.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:
35 years
40 years
50 years
None of these
Explanation:

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, Husbands present age = (90 - 50) years = 40 years.

13918.

Mphasis Logical Reasoning Test

Coding/Decoding:

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?

SEAT
MEAT
MORT
SORT
Explanation:

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.

13919.Coding/Decoding:

In a certain code, TRIPPLE is written as SQHOOKD. How is DISPOSE written in that code?

CHRONRD
DSOESPI
ESJTPTF
ESOPSID
Explanation:

Each letter in the word is moved one step backward to obtain the corresponding letter of the code.

13920.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?

40
50
25
10
13921.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?

West
South-West
South
North-West
13922.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?

Nephew
Uncle
Father or Uncle
Father
Explanation:

Madhav is the only son of one of the sons of Varmans father ? Either Varman is the father or uncle of Madhav.

13923.Blood Relationships:As son B is married with C whose sister D is married to E the brother of B. How D is related to A?
Sister
Daughters-in-law
Sister-in-law
Cousin
Explanation:

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.

13924.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 Xs losses on the policies?
Attracting middle-aged customers unlikely to submit claims for benefits for many years.
Insuring only those individuals who did not suffer any serious diseases as children.
Including a greater number of services in the policy than are included in other policies of lower cost.
Insuring only those individuals who were rejected by other companies for similar policies.
13925.Statement:

The chairman and secretary of the housing society have requested society members to use water economically to help society save on water tax.

Assumptions:

(I) Majority of members of society are likely to follow the request.

(II) It is desirable to reduce expenditure wherever possible.

Only assumption I is implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Explanation:

Nothing about the response of society members can be deduced from the statement so I is not implicit.But II is implicit.

13926.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.

Conclusions:

(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.

Only conclusion I follows
Only conclusion II follows
Both I and II follow
Neither I nor II follows
13927.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

Conclusions:

(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.

If only conclusion I follows
If only conclusion II follows
If neither I nor II follows
If both I and II follow
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