Let there be x people in the village so, then 4x sheep must be there.
No, number of person leaving the village, = (x - 8) [as 8 person died in Tsunami]
And the number of sheep to be carried with the survived people, 4x - (47 + 21) = x - 8. [Here we are equating No of alive sheep and no. of alive person. As 1 person has 4 sheep means 1 person = 4 sheep.]
Or, 3x = 60
Or, x = 20
Or, 4x = 80
Hence, 80 sheep
Number of terms in the series = 10.
(We can get it easily by pointing the number of zeros in power of terms.
In 1st term number of zero is 1, 2nd term 2, and 3rd term 3 and so on.)
10107,Writtenas,(7+3)(4×2+2)7Theremainderwilldependon,327So,remainderwillbe21010007,remainder=210100007,remainder=1So, we get alternate 2 and 1 as remainder, five times each.So, required remainder is given by(2+1+2+1+2+1+2+1+2+1)7=157
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x−((x2)+2)=1;Or,(x−4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x−4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x−4)2=16;Or,x=36∴Thethiefhasstolen36diamondsoriginally
When the birds sat one on a branch, there was one extra bird. When they sat Two to a branch one branch was extra.
Now, we go through the options;
Checking option (a);
If there were 3 branches, there would be 4 birds. (This would leave one bird without branch as per the question.)
When 4 birds would sit Two to a branch there would be one branch free (as per the question.). Hence, the option (a) is correct.
Number of mint before Eswari has taken,=(x−(x2))+2=17;Or,x=30Number of mint before Fatima has taken,=[x−(x4)]+3=30;Or,x=36;Number of mint before Sita has taken,=[x−(x3)]+4=36;Or,x=48Hence,therewere48mintsoriginally.