4
Identify the number that does not follow the pattern: 275, 132, 462, 396, 327, 891, 121
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Solution: Step 1: Check the relationship between digits in each number.
Step 2: 275 -> 7 = 2+5, 132 -> 3 = 1+2, 462 -> 6 = 4+2, 396 -> 9 = 3+6, 327 -> 2 != 3+7, 891 -> 9 = 8+1, 121 -> 2 = 1+1.
Step 3: All numbers except 327 have the middle digit equal to the sum of the other two.
Step 4: Therefore, 327 is the odd one out.
10
Choose the word representing a profession that is unlike the others in the list.
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Solution: Step 1: Examine the provided words: Actor, Artist, Musician, Dancer, Poet.
Step 2: Identify a common characteristic for most professions. Actor, Musician, and Dancer are all performing artists who typically perform on a stage in front of an audience. An Artist can also perform, though it's a broader term.
Step 3: Determine which word does not fit this primary characteristic. While a Poet creates art, their primary mode of expression is through written verse, and they typically do not 'perform on stage' in the same active, physical sense as actors, musicians, or dancers. (Note: Poetry readings exist, but the core activity of a poet is writing).
Step 4: Conclude that Poet is the word different from the rest.
11
Given the statements 'Some keys are staplers,' 'Some staplers are stickers,' and 'All stickers are pens,' identify which of the following conclusions logically follow: 1. Some pens are staplers. 2. Some stickers are keys. 3. No sticker is key. 4. Some staplers are keys.
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Solution: Step 1: Understand the given statements.
Statement 1: Some Keys (K) are Staplers (S). (K ∩ S ≠Ø).
Statement 2: Some Staplers (S) are Stickers (T). (S ∩ T ≠Ø).
Statement 3: All Stickers (T) are Pens (P). (T ⊆ P).
Step 2: Evaluate each conclusion:
Conclusion 1: 'Some pens are staplers.' From Statement 2 (S ∩ T ≠Ø) and Statement 3 (T ⊆ P), we can infer that some staplers are pens. By conversion, some pens are staplers. This conclusion follows.
Conclusion 2: 'Some stickers are keys.' From Statement 1 (K ∩ S ≠Ø) and Statement 2 (S ∩ T ≠Ø), both premises related to K and T are particular. No definite conclusion can be drawn between 'keys' and 'stickers'. This conclusion does not definitively follow.
Conclusion 3: 'No sticker is key.' Similar to conclusion 2, this also cannot be definitively concluded. It's possible for there to be some overlap. This conclusion does not definitively follow.
Step 3: Analyze Conclusions 2 and 3: These two conclusions are contradictory ('Some A are B' vs 'No A is B'). In such cases, when definite conclusions cannot be drawn from particular premises, one of these two must be true (either there is an overlap or there isn't). Thus, 'either (2) or (3) follows' is a valid deduction.
Conclusion 4: 'Some staplers are keys.' This is a simple conversion of Statement 1 ('Some keys are staplers'). This conclusion follows.
Step 4: Therefore, conclusions (1) and (4) follow, and either (2) or (3) follows.
14
Identify the letter group that does not consist of 'opposite' letter pairs, where letters occupy corresponding positions from the beginning and end of the alphabet.
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Solution: Step 1: Understand the pattern: The first and second letters form an 'opposite' pair (e.g., A is 1st from A, Z is 1st from Z). Similarly, the third and fourth letters form another 'opposite' pair.
Step 2: Analyze CXGT:
- C is 3rd from A, X is 3rd from Z (C-X are opposites). This pair follows the pattern.
- G is 7th from A, T is 7th from Z (G-T are opposites). This pair follows the pattern. This group follows the overall pattern.
Step 3: Analyze EVBY:
- E is 5th from A, V is 5th from Z (E-V are opposites). This pair follows the pattern.
- B is 2nd from A, Y is 2nd from Z (B-Y are opposites). This pair follows the pattern. This group follows the overall pattern.
Step 4: Analyze DXEY:
- D is 4th from A, X is 3rd from Z (D's opposite is W, not X). This pair does not follow the pattern.
- E is 5th from A, Y is 2nd from Z (E's opposite is V, not Y). This pair does not follow the pattern. This group does not follow the overall pattern.
Step 5: Analyze AZDW:
- A is 1st from A, Z is 1st from Z (A-Z are opposites). This pair follows the pattern.
- D is 4th from A, W is 4th from Z (D-W are opposites). This pair follows the pattern. This group follows the overall pattern.
Step 6: Therefore, DXEY is the odd one out as it does not follow the specified rule of opposite letter pairs.
18
Which of the following food items is different from the rest?
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Solution: Step 1: Examine the provided words: Tomato, Cucumber, Peas, Cabbage, Potato.
Step 2: Observe that Tomato, Cucumber, Peas, and Cabbage are all commonly consumed raw (e.g., in salads or as fresh produce).
Step 3: Identify 'Potato' as a vegetable that is almost always cooked before consumption due to its raw starch content, texture, and taste.
Step 4: Determine that 'Potato' is the odd one out because it is typically eaten cooked, unlike the others which are frequently consumed raw.