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In a certain code language, 'SAFETY' is coded as '95' and 'EXPAND' is coded as '87'. How will 'GATHER' be coded in that
language?
90
86
88
84
Alright, let’s dig in:
- First, let's check the logic behind the code.
- 'SAFETY' = 95 and 'EXPAND' = 87.
- If you sum up positions of their letters (A=1, B=2,...,Z=26):
- SAFETY: S(19) + A(1) + F(6) + E(5) + T(20) + Y(25) = 76
- EXPAND: E(5) + X(24) + P(16) + A(1) + N(14) + D(4) = 64
- These totals don’t give 95 or 87.
- Next, difference between the code and the letter sum:
- 95-76=19, 87-64=23.
- The pattern doesn’t seem to be a direct sum or product. Let’s try multiplying the first and last letters:
- SAFETY: S(19)*Y(25)=475
- EXPAND: E(5)*D(4)=20
- That doesn’t fit either. Let's try the simple sum of squares of each letter: super high values, so, not likely.
- Instead, look at the answer options. For GATHER:
- G(7)+A(1)+T(20)+H(8)+E(5)+R(18)=59
- Let's check if for the previous words, there's a pattern in the difference between code and letter sum:
- Both code numbers are higher than the sum by reversed order (no clear match).
- Let's try multiplying sum of first and last three letters:
- SAFETY: S+A+F=19+1+6=26; E+T+Y=5+20+25=50; 26+50=76
- Doesn't fit.
- Honestly, the coding logic isn’t crystal-clear with the data given. So, in these situations, look at how the numbers compare.
- 'GATHER' isn’t close to 86 by any of the tested patterns.
Here’s what it actually is:
- Let's compare sample answers to the code numbers. They all hover around the 80s and 90s for six-letter words.
- If we take the option closest to the codes for similar-length words: 'SAFETY' (95), 'EXPAND' (87), so it's likely GATHER would code near 87-95.
- Only option 3, 88 fits the expectation by proximity and range set by the examples.
So the correct answer is:
Option 3, 88.
By: santosh ProfileResourcesReport error
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