number system

[samarth007]

Q.1 find the lowest of three nos. as described: if the cube of the first no exceeds the product by 2, the cube of 2nd no. is smaller than therir product by 3, and the cube of the third no. exceeds their product by 3.
A) 3^1/3 b)9^1/3
c)2 d)any of these


Q.2 find the Gcd of (2^100 -1, 2^120 -1)

a) 2^20 -1 b)2^40 - 1
C)2^60 -1 d)2^10 -1

Q.3 find the gcd of (111111....1111 hundred ones ; 1111....111 sixty ones)

A) 1111....forty ones b)11111.....twenty five ones

C) 11111.... twenty ones d) none of these

[leebaba]

Originally Posted by samarth007 @ Sat Oct 02, 2004 4:40 pm

Q.3 * find the gcd of (111111....1111 hundred ones ; 1111....111 sixty ones)

A) 1111....forty ones * * * * * * * *b)11111.....twenty five ones

C) 11111.... twenty ones * * * * * d) none of these

C...i guess for such kind of questions take the GCD of 100 and 60...well recheck with someone..

happy mugging

[whocarez]

Originally Posted by samarth007 @ Sat Oct 02, 2004 4:40 pm

Q.1 find the lowest of three nos. as described: if the cube of the first no exceeds the product by 2, the cube of 2nd no. is smaller than therir product by 3, and the cube of the third no. exceeds their product by 3.
A) 3^1/3 * *b)9^1/3
c)2 * * * * * *d)any of these

Go by the options....
we can see product of 3^1/3, 9^1/3 and 2 is 6 and each one of them satisfies 1 given condition. So we just have to find the least of these 3 no.s which is 3^1/3 or option A.

Originally Posted by samarth007 @ Sat Oct 02, 2004 4:40 pm

Q.2 *find the Gcd of (2^100 -1, 2^120 -1)

a) 2^20 -1 * * *b)2^40 - 1
C)2^60 -1 * * d)2^10 *-1

GCD of 100 and 120 is 20 thus option A should be the answer 2^20 -1

Originally Posted by samarth007 @ Sat Oct 02, 2004 4:40 pm

Q.3 * find the gcd of (111111....1111 hundred ones ; 1111....111 sixty ones)

A) 1111....forty ones * * * * * * * *b)11111.....twenty five ones

C) 11111.... twenty ones * * * * * d) none of these

Same way option C should be the answer

[narangshivani]

Originally Posted by leebaba

C...i guess for such kind of questions take the GCD of 100 and 60...well recheck with someone..

happy mugging

thats right! take the GCD of 100 AND 60 you get twenty 1's

[rmbt]

Originally Posted by narangshivani

thats right! take the GCD of 100 AND 60 you get twenty 1's

Please look at the date of the last post.Dont invoke the old threads.

[ravijainmba]

Is the answer none of these

[reachmonil]

Theres already a thread dedicated to Number System Porblems.

Locked.