Quantitative aptitude question

plz explain......... it   

1)In a group of 200. 100 are interested in music,    70 in photography and 40 in swimming . 40 are    interested in both music and photography, 30    in music and swimming. 20 in photography and    swimming and 10 in all the three. How many    are interested in photography but not in music      or swimming?   

a) 30 b) 15 c) 25 d) 20

 

2)Given the prices of 2 commodities are

increased by 10% and 20% respectively and
the price of another commodity is decreased
by 30%. The relative importance of 3
commodities are in the ratio 3:3:1. Find
weighted price index number.
 
a) 80 b) 109 c) 110 d) 108.5

3)The S.D of weight of some members is 4.5 k.g.

After some time it was observed that each
member was under weight by 0.5 kg then what
is new S.D?
 
a) < 4.5 b) > 4.5 c) = 4.5 d) None
 
4)Two unbiased dies are thrown then the
excepted value of sum on the sides of the die
 
a) 3.5 b) 7 c) 6 d) 12
 
 

 

Replies (4)
1) 70 - 40 -20 + 10 = 20 2)[(110 x 3) + (120 x 3) + (70 x 1)] / 7 = 108.5 3) S.D. will remain same as is independent of change of origin. 4)E(X + X) = E(X) + E(X) = 3.5 + 3.5 = 7.
1) 70 - 40 -20 + 10 = 20 2)[(110 x 3) + (120 x 3) + (70 x 1)] / 7 = 108.5 3) S.D. will remain same as is independent of change of origin. 4)E(X + X) = E(X) + E(X) = 3.5 + 3.5 = 7.
sir how 3.5 u taken in 4th problem plz reply
That is the expected value of the points if one die is thrown = 1*(1/6) + 2*(1/6) + 3*(1/6) + 4(1/6) + 5*(1/6) + 6*(1/6) = 21/6 = 3.5

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