a shepherd buys 9 goats at the  end of 1998. henceforth onwards every year he adds p% of goats at the beginning of that  year  and sales q% of the goats at the end of the year where p>0 and q>0.if at the end of year 2002 , after making the sales, he is left with 9 goats, then

a)p=q b)p<q c)p>q d)p=q/2

a company's sales executive gets monthly salary as two parts.  one is fixed and other depends upon the sales he achieved(i.e commission  on sales). on the first three months he got 30% , 20% , 10% of the sales achieved and the fixed amount was 1000 , 2000 , 3000 respectively. then what can be said about his sales achieved

a)it was increasing continously for 3 months

b)it was decreasing continously for 3 months

c)it cannot have gone up in 2^_nd month and then gone down in 3^_rd month

d)it increased in 2_^nd month and then gone down in 3_^rd month

ok here are other two,



but how they got i dunno.

145²= (12²-1²)² + [2(12)(1)]²

and

145²= (9²-8²)² + [2(9)(8)]²

plz explain these

thnx

in how many ways 145² can be expressed as sum of squares of two natural numbers

in a family  pati , patni and woh contested for post of family head. all the people of the city voted and all the votes were valid. the loser(the one having last rank) got 30% of the votes. if it is known that each of them got integral percentage of vote , then what could be the minimal margin of vote by which the winner defeated his/her nearest rival.

and one of the option is - it cannot be determined

thnx

A is twice as efficient as B and together they can do the same amount of work as C and D together in same amount of time.if C and D can complete the work in 20 and 30 days respectively,working alone , then in how many days will A complete the work alone.

for the first question

the unit digit of 17¹⁹⁸³ is same as unit digit of 7¹⁹⁸³ 

so 17¹⁹⁸³ - 7¹⁹⁸³-11¹⁹⁸³

=-11¹⁹⁸³  (the last digits of 17¹⁹⁸³ - 7¹⁹⁸³ = 0, as they are same)

now if 1 is a unit digit  then no matter what's the power it is raised to, it will be 1 only.

so the last digit is 1.

let n1 and n2 be natural nos., and n2= n1+2 . and n2<=1000

then when we multiply n1 and n2 which digit will occur the least time at unit digit.

a)4     b)9       c)0         d) both a and c