Please solve the following questions Q24. Which of the following would always divide a six-digit number of the form ababab? Q42. The last digit of the LCM of (32003 – 1) and (32003 + 1) is a. 8 b. 2 c. 4 d. 6 Q57. How many numbers below 100 can be expressed as a difference of two perfect squares in only one way? Updated on 24-Jan-08 Please solve the question number 39 to 41 in page 35 in moderate section. Q39. How many factors of N are perfect squares?
Can some one solve Q43 in page 40
The question is
A, b, c are positive integers such that a + b + c = 2003.
Let E = (-1) a + (-1) b + (-1) c
Find the number of possible values of E? |
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Let me allow if the answer is (c) i.e. 4 or not..........If tht then i can xplain my process....
Future Belongs To Those Who Love To Blv In The Beauty Of Their Dreams....
Q24. Which of the following would always divide a six-digit number of the form ababab?
a. 10,101 b. 11,111 c. 10,001 d. None of these
because 10101 * ab convert in ababab
n/a
Thanks to bot of you
Yes it is c, please explain it
Q42. The last digit of the LCM of (32003 – 1) and (32003 + 1) is
a. 8 b. 2 c. 4 d. 6
Soln. Look the two no.s are consecutive even. So their H.C.F. shud b 2.
Now,
As H.C.F.x L.C.M.= Product of 2 no.s
=> 2 x L.C.M= (.....6) x (....8)
=>L.C.M=(....3) x (....8)= (.....4) So (c) 4 is the correct one. Hp u hv got my point...
Happy Solving.......
Regards,
Dipanjan.....
Future Belngs 2 Thos Who Lv 2 Blv In D Beauty Of Dr Dreams................
n/a
Please solve the following question from the same book
Q48.How many numbers between 1 to 250 can be represented in the form of xy , where y > x > 1?
a. 6 b. 7 c. 8 d. 9
Let us start by kepin in view the condn............
y>x>1 & x^y<250.
start wth x=2, y=3,4,5,6,7
x=3,y=4,5
bt if x=4, y shud b at least 5 whch violets the givn condn so its impossible & ths pattern will also follow the same track in upcmin formats..................So total possible format (5+2)=7..............
So accordin to me (b) 7 is the correct one .......Nw let me now whether my approach as well as result is correct or nt..............Watin 4 comments...........................
Happy Solving..
Regards,
Dipanjan.
n/a
the answer to the prob should be (b)
the answer to the prob should be (b)
answers as given in the book
24.d
42. c
57. c
Please solve the question number 39 to 41 in page 35 in moderate section.
N = A2 + B2 + C2
Q39. How many factors of N are perfect squares?
a. 6 b. 12 c. 8 d. None of these
Q40. How many factors of N are cube of any natural number?
a. 2 b. 3 c. 4 d. 6
Q41. How many factors of N will be having exactly 3 factors?
a. 2 b. 3 c. 4 d. None of these
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