Question : Directions: In a certain code language, CENTRE is coded as 982748, and DEVICE is coded as 583098. What is the code for DIRECT in that code language?
Option 1: 506897
Option 2: 694879
Option 3: 504897
Option 4: 564897
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Correct Answer: 504897
Solution :
Given:
CENTRE is coded as 982748, and DEVICE is coded as 583098.
Comparing the letters of CENTRE and DEVICE, we have two
E
and one
C
common in both. In the code, 8 is repeated, and 9 is common.
Therefore, E = 8 and C = 9.
Looking at the remaining codes –
The remaining letters in CENTRE are
N, T
and
R
, and the remaining codes are
2, 7
and
4
.
The remaining letters in DEVICE are
D, V
, and
I
and the remaining codes are
5, 3
and
0
.
In the word DIRECT, the codes for
E
and
C
are known to be
8
and
9
respectively.
The remaining letters in DIRECT are
D, R, I
and
T
, the codes have to be a combination of
2, 7, 5, 3, 4
and
0
.
Checking all the options, only the third option has the above-mentioned combination of letters, as in the remaining options, 6 is there which is not a code for any letter.
So, DIRECT is coded as 504897. Hence, the third option is correct.
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