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Placement Papers Microsoft

11836.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
40
35
45
55
Explanation:

Sum of the present ages of husband, wife and child = (27 $\times$ 3 + 3 $\times$ 3) years = 90 years.

Sum of the present ages of wife and child = (20 $\times$ 2 + 5 $\times$ 2) years = 50 years.

Therefore, Husband`s present age = (90 - 50) years = 40 years.

11837.The length of the bridge, which a train 130 meters long and travelling at 45 km/hr. can cross in 30 seconds, is:
200 m
225 m
245 m
250 m
Explanation:

Speed = (45 x 5/18) m/sec = 25 m/sec.

Time = 30 sec.

Let the length of bridge be x meters.

Then, (130 + x)/30 = 25/2.

=> 2(130 + x) = 750

=> x = 245 m.

11838.Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
4
10
15
16
Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds (2 minutes).

In 30 minutes, they will toll together 30/2 + 1 = 16 times.

11839.If a person walks at 14 km/hr. instead of 10 km/hr., he would have walked 20 km more. The actual distance travelled by him is:
50 km
56 km
70 km
80 km
Explanation:

Let the actual distance travelled be x km.

Then, x/10 = (x + 20)/14.

=> 14x = 10x + 200.

=> 4x = 200

=> x = 50 km.

11840.M and N entered into partnership with capitals in the ratio 4: 5. After 3 months, M withdrew of his capital and N withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs. 760. What is Ms share in the profit?
310
320
330
350
Explanation:

Ratio of the initial capital of M and N = 4 : 5

Hence we can take the initial capitals of M and N as 4x and 5x respectively.

Ratio in which profit will be divided

=> (4x $\times$ 3) + (3/4) $\times$ (4x) $\times$ 7: (5x $\times$ 3) + (4/5) $\times$ (5x) $\times$ 7

=> 12+21: 15+28

=> 33: 43

Hence, Ms share = 760 $\times$ 33/76 = 330.

11841.In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students?
600
650
700
750
Explanation:

Let the total number of students be x.

Number passed in one or both is given by: n$\left(A\cup B\right)$ = n(A)+n(B) - n (A ^ B).

=> 60% of x + 65% of x - 40% of x.

=> (60/100 $\times$ x + 65/100 $\times$ x - 40/100 $\times$ x)

=> 85x/100 = 17x/20.

Failed in both = (x - 17x/20) = 3x/20.

=> 3x/20 = 90.

=> x = 90 $\times$ 20/3 = 600.

11842.A man can row at 10 km/hr. in still water. If the velocity of current is 2 km/hr. and it takes him 10 hours to row to a place and come back, how far is the place?
36
24
48
56
Explanation:

Speed downstream = (10 + 2) = 12 km/hr.

Speed upstream = (10 - 2) = 8 km/hr

.

Let the required distance be x km.

Then, x/12 + 1/8 = 10.

=> (2x+3x)/24 = 10.

=> 5x =10 $\times$ 24.

=> x = 48 km.

11843.In a secondary school the seats for Maths, physics and social studies are in the ratio 8: 5: 7. there is a proposal to increase these seats by 75%, 40% and 50% respectively. What will be the new ratio?
5: 3: 4
4: 2: 3
10: 7: 9
1: 3: 4
Explanation:

Originally, let the number of seats for Maths, physics and social studies be 8x, 5x and 7x respectively.

No. of increased seats are (175% of 8x), (140% of 5x) and (150% of 7x).

=> (175 $\times$ 7x/100), (140 $\times$ 5x/100) and (150 $\times$ x/100) i.e. 14x, 7x and 21x/2.

$\therefore$ Required ratio = 14x: 7x: 21x/2 = 28x: 14x: 21x = 4: 2: 3.

11844.Mr. Kaushik invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Rs. 6400
Rs. 6500
Rs. 7200
Rs. 7500
Explanation:

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900-x).

Then,

=> x $\times$ 14 $\times$ 2/100 + (13900-x) $\times$ 11 $\times$ 2)/100 = 3508

=> 28x - 22x = 350800 - (13900 x 22)

=> 6x = 45000

=> x = 7500.

So, sum invested in Scheme B = Rs. (13900-7500) = Rs. 6400.

11845.A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
40
50
54
60
Explanation:

A and B together complete the work in 30 days.

So, work done by A and B together in 1 day = 1/30

=> Work done by A and B together in 20 days = 20/30 = 2/3

So work remaining after 20 days when B leaves = 1 - 2/3 = 1/3

Given that A completes the remaining work in 20 days

=> A completes 1/3 work in 20 days

=> A completes the work in 20 $\times$ 3 = 60 days.

11846.

Microsoft Logical Reasoning Test:

Coding/Decoding:In a certain code language, FUNNY is coded as NFYUN then how will u code the word GREEN?
EGNRE
GENRE
EGRNE
EGERN
Explanation:

By analyzing the code for FUNNY, we can observe that the middle letter is placed first and then the odd place letter are grouped and then the even place letters are grouped.

F U N N Y

1 2 3 4 5

coded by the logic,

N F Y U N

3 1 5 2 4

By applying the same logic, we can code GREEN as EGNRE.

11847.

Coding/Decoding:

If JOSEPH is coded as FKOALD, then GEORGE will be coded as:
CAKNCA
HAKNCA
CBKNCA
CALNCA
Explanation:

Each letter of the word is moved four step back to decode it. So, GEORGE will be CAKNCA.

11848.

Distance & Direction:

I walk 30 meters in North-West direction from my house and then 30 meters in South-west direction. After this I walk 30 meters in South-East direction. Now, I turn to my house, in what direction am I going?
North-East
North-West
South-East
South-West
11849.

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
11850.

Blood Relationships:

Introducing Sonia, Amir says, "She is the wife of only nephew of only brother of my mother." How Sonia is related to Amir?
Wife
Sister
Sister-in-law
Data is inadequate
Explanation:

Brother of mother means maternal uncle. Hence only nephew of Amir`s maternal uncle means Amir himself. Therefore, Sonia is the wife of Amir.

11851.

Blood Relationships:

Pointing to a boy in the photograph Reena said, "He is the only son of the only child of my grandfather." How Reena is related to that boy?
Mother
Sister
Aunt
Cannot be determined
Explanation:

The boy in the photograph is the only son of Reenas grandfathers only son; i.e., the boy is the only son of Reenas father.

Hence, the boy is the brother of Reena or Reena is the sister of the boy.

11852.

Critical Reasoning:

The cost of producing radios in Country Q is ten percent less than the cost of producing radios in Country Y. Even after transportation fees and tariff charges are added, it is still cheaper for a company to import radios from Country Q to Country Y than to produce radios in Country Y.

The statements above, if true, best support which of the following assertions?

Labor costs in Country Q are ten percent below those in Country Y.
Importing radios from Country Q to Country Y will eliminate ten percent of the manufacturing jobs in Country Y.
The tariff on a radio imported from Country Q to Country Y is less than ten percent of the cost of manufacturing the radio in Country Y.
The fee for transporting a radio from Country Q to Country Y is more than ten percent of the cost of manufacturing the radio in Country Q.
11853.Statement: We must settle all the payment due to our suppliers within three working days.

Assumptions:

(I)We will always have necessary funds in our account to settle the bills.

(II) We are capable of verifying and clearing the bills in less than three working days.

Only assumption I is implicit
Only assumption II is implicit
Either I or II is implicit
Both I and II are implicit
Explanation:

Since the statement talks of making all payments within three days, so company has funds and also bills can be cleared within said time. So both assumptions are implicit.

11854.

Statement and Conclusions:

Statement: A large majority of the work force in India is unorganized. Most of them earn either the minimum or uncertain wages while others are engaged in sundry jobs.Conclusions:

(I) The workers in the organized sector get better facilities and stay longer in their jobs.

(II) Some workers in the unorganized sector of the work force have a regular and fixed income.

Only conclusion I follows
Only conclusion II follows
Either I or II follows
Neither I nor II follows
11855.

Statement and Conclusions:

National Aluminum Company has moved Georgia from a position of shortage to self-sufficiency in the metal.

Conclusions:

(1) Previously, Georgia had to import aluminum.

(2) With this speed, it can soon become a foreign exchange earner.

Only 1 follows
Only 2 follows
Either 1 or 2 follows
Both 1 and 2 follow
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