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Placement Questions & Answers :: Mu-Sigma

1. Which letter should be in place of question mark
B C D
A E C
F A ?

Answer: B

Explanation:

A=1,B=2,C=3--------z=26
so now B+C+D= 2+3+4=9
A+E+C = 1+5+3 = 9
So, F+A+? = 9
=> 6+1+? = 9

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2. 1/4th of 1/2 of 3/4th of 52000 = ?

Answer: 4875

Explanation:

Here is no explanation for this answer

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3. Two goats are tied with a rope of length 40m outside of a rectangular shed of dimensions 50m X 30m. The goats are tied to different corners which lie on the opposite ends of a diagonal of the shed. What is the area in which the two goats can eat grass, if they choose not to eat in the common approachable area?

Answer: 2450pi

Explanation:

Given rope of length = 40m (radius)
Area of semi circle =(pi*r^2)/2 = (1600 * pi)/2 = 800*pi ---(1)
Area of quarter circle = (1/2 * 800 * pi) = 400*pi ----- (2)
Area of sector is = r*r*(pi/2)/2 = 25*pi ----- (3)
By adding above eq. (1) (2) & (3)
Total area = 1225*pi
As per quesiton there are 2 goats
so area = 1225*pi*2 = 2450pi

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4. In a society of 80 resident families who subscribe newspapers, 60% of them subscribe The Hindu newspaper, 80% of them subscribe regional language newspaper and 70% of them subscribe TOI. How many families could, at the least, be subscribing to all the three newspapers

Answer: 10%

Explanation:

Total no. of families who take newspaper=80
Hindu newspaper = 60% = (80*60/100) = 48
Regional newspaper = 80% = (80*80/100) = 64
TOI newspaper = 70% = (70*80/100) = 56
Find common families take H.C.F (48,64,56) = 8
Therefore,(8/80)*100=10%
So, common families who take all newspaper = 10%.

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5. What is the simplified result of following the steps below in order?

Answer: X2-x-6

Explanation:

X2-X-6=0
(x-3)(X+2)=0
X=3,-2

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6. if a=2,b=4,c=5 then (a+bc)/(ca+b)

Answer: 1

Explanation:

Here is no explanation for this answer

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7. A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father's present age ?

Answer: 40 yrs

Explanation:

Lets assume son's age = x
So, father's age = x + 30

After 5 years:
Son's age = x + 5
Father's age = x + 35

In 5 years the father is thrice as old as his son so:
3(x + 5) = x + 35
x = 10

So, current father's age = 40 Years.

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8. A person travels in a car with uniform speed. He observes the milestone,which has 2 digits. After one hour he observes another milestone with same digits reversed. After another hour he observes another milestone with same 2 digits separated by 0. Find the speed of the car?

Answer: 45 Kmph

Explanation:

Let 10'splace digit is x and unit's place digit y

First milestone : 10x+y
Second milestone : 10y+x
Third milestone: 100x+y

Since the speed is uniform so
Distance covered in first Hr = Distance covered in Second Hr
(10y+x)-(10x+y) = (100x+y)-(10y+x)
By solving,
y=6x
but since x and y are digits so only possible combination is x=1 and y=6,
So average speed = 45 Kmph

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9. If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?

Answer: 0.3396

Explanation:

log 0.317=0.3332 and log 0.318=0.3364
then
log 0.319=log0.318+(log0.318-log0.317)
=0.3396

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10. There are 8 people, F, G, H, J, K, L, M, and N. 2 groups are to be formed. F will always go with J. G and M will never go together. H will always go with L. N will always go with G. What are the two groups to be formed?

Answer: 1st Way Group 1: F, J, G, N Group 2: M, K, H, L 2nd Way Group 1: F, J, M, K Group 2: G, N, H, L

Explanation:

8 people namely F,G,H,J,K,L,M,and N respectively.
Now we have to form 2 groups
1st condition: F will always go with J
Meaning: F and J always lie in same group. ............(i)
2nd condition:G and M will never go together.
Meaning: G and M always lie in different groups. .........(ii)
3rd condition:H will always go with L.
Meaning:H and L always lie in same group. .............(iii)
4th condition:N will always go with G.
Meaning:N and G always lie in same group. ..........(iv)
According to (i),(ii),(iii),and (iv)
2 groups can be formed in following 2 ways

1st Way
Group 1: F, J, G, N
Group 2: M, K, H, L

2nd Way
Group 1: F, J, M, K
Group 2: G, N, H, L

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