If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
ANS: log5512 = log512/log5 = log29log10/2 =9log2log10-log2 =9*0.30101-0.3010 =2.709/0.699 =2709/699 =3.876
If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Let original radius = R.
New radius = 50100R= 50100R
Original area =R2 and new area = πR2
Decrease in area = πR22=πR24 = 75%
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Let the average after 7th inning = x
Then average after 16th inning = x - 3
16(x-3)+87 = 17x
x = 87 - 48 = 39
The blue colour of the clear sky is due to
A clear cloudless day-time sky is blue because molecules in the air dissipate blue light from the sun more than they dissipate red light. When we look towards the sun at sunset, we see red and orange hues on the grounds because the blue light has been scattered out and away from the line of sight.
If log 27 = 1.431, then the value of log 9 is
log 27 = 1.431log33 = 1.4313 log 3 = 1.431log 3 = 0.477log 9 = log(32)= 2 log 3 = (2 x 0.477) = 0.954
A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?
Let the cost price of 1-liter pure milk be Re.1, then
6 liters (milk) → C.P = Rs. 62 liters (water) → C.P = Rs. 0→CP = Rs.6 only
8 litre mixture =>
SP => 8 x 2 = Rs. 16
Profit % = 16 - 66x100 = 10006 = 166.66%
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Angle traced by the hour hand in 6 hours=(360/12)*6
A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is
C.I. when compounded half yearly = x1+101004-x=464110000
C.I. when compounded annually =x201002-x=1125
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