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AB represents a two-digit number. (AB) 2 = DCB, where DCB is a three d
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20 Nov 2023, 02:08
20 Nov 2023, 02:08
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AB represents a two-digit number. \((AB)^2 = DCB\), where DCB is a three digit number.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
B |
4 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: AB represents a two-digit number. (AB) 2 = DCB, where DCB is a three d
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21 Nov 2023, 23:06
21 Nov 2023, 23:06
1
AB represents a two-digit number. (AB)^2 = DCB, where DCB is a three digit number.
so the smallest two digit number(AB) whose square is a 3-digit number (DCB)is 10 as 10^2 (AB)^2 = 100 (DCB)
[it is not mentioned that A cannot be equal to D so we can take the value of A as 1] , now here the value of B=0 --Eqn1
Now , similarly 16^2 = 256 , here B =6 --Eqn2
so we see in Eqn 1 , the value of B (0) < (4) and we see in Eqn2 , the value of B (6) > (4) , thus answer D
so the smallest two digit number(AB) whose square is a 3-digit number (DCB)is 10 as 10^2 (AB)^2 = 100 (DCB)
[it is not mentioned that A cannot be equal to D so we can take the value of A as 1] , now here the value of B=0 --Eqn1
Now , similarly 16^2 = 256 , here B =6 --Eqn2
so we see in Eqn 1 , the value of B (0) < (4) and we see in Eqn2 , the value of B (6) > (4) , thus answer D
gmatclubot
Re: AB represents a two-digit number. (AB) 2 = DCB, where DCB is a three d [#permalink]
21 Nov 2023, 23:06
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