GRE-Math-Questions-to-Know-by-Test-Day-2nd-Edition_pag21

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12 › McGraw Hill 500 GRE® Math Questions
 15. (D) The volume, in cm3, of the molten metal in one of the three smaller cubes is 
12
3
3
.
The length, in centimeters, of an edge of one of the cubes equals 
= =
⋅
⋅
= = =
12
3
12
1
3
12
1 3
3 3
12
9
3
12
3
9 4 9
3
3 3
2
2
3
3
3 3 3 , choice (D).
 16. (A), (B), (E), (F)
A number is divisible by 8 (that is, leaves a remainder of 0 when divided 
by 8) if and only if its last three digits form a number that is divisible by 
8. (A)√ 403,127,531,184 is divisible by 8 because 184 is divisible by 8; 
(B)√ 100,190,999,000 is divisible by 8 because 000 is divisible by 8; (C) 
325,121,750,748 is not divisible by 8 because 748 is not divisible by 8; (D) 
113,200,211,252 is not divisible by 8 because 252 is not divisible by 8; 
(E)√ 431,333,209,136 is divisible by 8 because 136 is divisible by 8; (F)√ 
786,920,325,256 is divisible by 8 because 256 is divisible by 8.
 17. (A), (B), (C), (E)
 (A) √ ) )( ()(− = − − = − − + +s r r s r s r rs s3 3 3 3 2 2 ; 
 (B) √ )()( ) )( (− = − +r s r s r s2 2 3 3; 
 (C) √ )(− + − = −r r s rs s r s3 33 2 2 3 3; 
 (E) √ )()( ) )( (− + = − = − +r r s s r s r s r s24 2 2 4 2 2 2 2
 18. (B), (C), (D), (E), (F)
In a right triangle, the square of the length of the longest side equals the sum of 
the squares of the lengths of the other two sides. The lengths in (B)√, (C)√, (D)√, 
(E)√, and (F)√ satisfy this relationship. The lengths in (A) do not.
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