base questions

Q1. The multiplication of numbers (47)8 and (52)8 is
(A) (3144)8
(B) (3146)8
(C) (4147)8
(D) (4146)8

Q2. The sequence 10000, 121, 100, 31, 24, ___ , 20 represent a number x with respect
to different bases. The missing number in this sequence is
(A) 22
(B) 21
(C) 16
(D) 10

Q3. If (41)6 = (121)b then b is
(A) 1
(B) 2
(C) 3
(D) 4
 

Q1

The answer is

(B) (3146)8

Q3 answer

Q3. If (41)6 = (121)b then b is
(A) 1
(B) 2
(C) 3
(D) 4

ANS:

The answer is (D) 4

ans

Q2. The sequence 10000, 121, 100, 31, 24, ___ , 20 represent a number x with respect
to different bases. The missing number in this sequence is
(A) 22
(B) 21
(C) 16
(D) 10

10000 covert in 2 base=16
121 covert in 3 base=16
100 covert in 4 base=16
31 covert in 5 base=16
24 covert in 6 base=16
22 covert in 2 base=16
20 covert in 2 base=16

so ans is 22

Little Star
 

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@jigar

I think (22)7=(16)10  nd (20)8=(16)10.......

Obviously nswer is ok 22.....

Giv ur best to d world.
Nd d best will cm back to u.....

Regards,
Dipanjan.......

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Answer of Q3

Q3)
If it's base
2= possible digits are 0,1
3=possible digits are 0,1,2 etc

So we can eleminate first 2 options.
(41)6=4*61+1*6=25
(121)4=1*42+2*4+1=25

Therefore, (D)4 is correct option

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Hi

Could you plz explain in detail about the solution for 1st question.

Thanks in advance.

There's only one corner of the universe you can be certain of improving, and that's your own self.

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