Each of the letters arranged as below represents a unique from 1 to 9. The letters are positioned in the figure such that (A \times B \times C),(B \times G \times E) and (D \times E \times F) are equal. Which integer among the following choices cannot be represented by the letters {A}, {B}, {C}, {D}, {E}, {F} or {G} ? A D B G E C F

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 8 of 65

Marks: +1, -0

Each of the letters arranged as below represents a unique from 1 to 9. The letters are positioned in the figure such that

(A × B × C),(B × G × E)

and

(D × E × F)

are equal. Which integer among the following choices cannot be represented by the letters

{A}, {B}, {C}, {D}, {E}, {F}

{G} ?

Solution:

A × B × C=B × G × E=D × E × F=72

8 × 9 × 1=9 × 2 × 4=3 × 4 × 6=72

Any of

A, B, C, D, E, F, G

cannot be

5 .

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