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Q #56
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SSC Quants Question


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Find the value of x which satisfies the relation log 102 + log 10(7x+1) = log10(x+93).
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log 102 + log 10(7x+1) =>Log10(14x+2)= log10(x+93).

14x + 2 = x + 93; x = 7



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Q #57
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SSC Quants Question


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Supriya runs a marathon race in 50 minutes at an average speed of 48 km/hour. In order to set a national record, she needs to win the race in 40 minutes. Considering that her speed remains constant, at what minimum speed should she run to set the record?
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Distance= speed * time =>50*48=2400

New speed = 2400/40 =>60



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Q #58
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SSC Quants Question


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A software engineer creates a LAN game where an 8 digit code made up of 1, 2, 3, 4, 5, 6, 7, 8 has to be decided on, as a universal code. There is a condition that each number has to be used and no number can be repeated. What is the probability that first 4 digits of the code are even number?
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total no of ways is 8!. for finding even nos at last 4 digit s ways are 4! and that for odd is 4! so it can be done in 4*3*2*1*4*3*2*1/8*7*6*5*4*3*2*1 ie 4!*4!/8! =>1/70

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Q #59
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SSC Quants Question


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Evaluate: log 7 1512
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Q #60
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SSC Quants Question


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What is the value of 15C13
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15C13 is same as 15C2 = 15*14/2 = 105

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