Find the one which does not belong to that group ?
Answer: D
In three of the numbers, the first two digits add to the third.
\[ 358: \; 3 + 5 = 8 \quad\checkmark \qquad 246: \; 2 + 4 = 6 \quad\checkmark \]
\[ 134: \; 1 + 3 = 4 \quad\checkmark \qquad 862: \; 8 + 6 = 14 \neq 2 \quad\times \]
So 862 does not belong.
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Find the one which does not belong to that group ?
Answer: D
Each number is a digit written next to its own square:
To follow the rule the last would have to be 416, so 426 is the one that does not belong.
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Find the one which does not belong to that group ?
Answer: D
Each number is a digit written next to its own cube:
The fourth would have to be 464. The 16 attached to it is \( 4^{2} \), the square rather than the cube, which is precisely the trap.
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Find the one which does not belong to that group ?
Answer: B
All four are made from the digits 1, 2 and 3, so look at the last digit.
\[ 123,\; 231,\; 321 \;\text{end in an odd digit and are therefore odd} \]
\[ 132 \;\text{ends in 2 and is even} \]
So 132 does not belong. All four share a digit sum of 6, so divisibility by 3 cannot separate them - parity can.
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Find the one which does not belong to that group ?
Answer: B
Three of the four are multiples of 4.
\[ 104 = 4 \times 26, \quad 108 = 4 \times 27, \quad 112 = 4 \times 28 \]
\[ 110 = 4 \times 27 + 2 \]
So 110 does not belong. The test is the last two digits: 04, 08 and 12 divide by 4, while 10 does not.
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Find the one which does not belong to that group ?
Answer: B
Three of the four letters are vowels.
\[ A,\; E,\; I \;\text{are vowels}; \qquad R \;\text{is a consonant} \]
So R does not belong.
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Find the one which does not belong to that group ?
Answer: D
Convert the letters to their positions and look at the steps between them:
Three groups step back three and then forward six; KIM steps back two and forward four, so it is the odd one. To fit the rule it would have to be KHN.
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Find the one which does not belong to that group ?
Answer: B
Take the letter positions and the differences between them:
QOR steps back two instead of one, so it breaks the pattern; QPS would fit. Note that YXA is consistent once the alphabet is allowed to wrap from Z round to A.
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Find the one which does not belong to that group ?
Answer: B
In each of the groups ABB, CCCDDDD, BBCCC and DDDDEEEEE, only two letters of the alphabet are used and each letter is written as many times as its place value in the alphabet.
This pattern is not followed in the group BCC.
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Find the one which does not belong to that group ?
Answer: A
Convert each group to letter positions and look at the gaps.
So BDFL does not belong - the only group whose gaps are not \( 2,\, 3,\, 5 \).
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