SSC Stenographers - abstract ideas and symbols Online Test (MCQ Quiz)

1. Which of the following is a common symbol used to represent a 'greater than' relationship?

A) = B) ≠ C) > D) <

2. In logical reasoning, what does the symbol '∴' typically represent?

A) Because B) Therefore C) And D) Or

3. The concept of 'analogy' in abstract reasoning involves identifying a relationship between two items and applying it to a third item to find a fourth. Which symbol best represents an analogy?

A) : B) ; C) :: D) ..

4. Consider the abstract idea of 'inclusion'. Which symbol is most often used to denote that one set is a subset of another?

A) ⊂ B) ⊃ C) ∈ D) ∉

5. What abstract idea does the symbol '∑' represent in mathematics and logic?

A) Product B) Difference C) Summation D) Division

6. In Venn diagrams, the intersection of two sets is often represented by which symbol, signifying elements common to both sets?

A) ∪ B) ∩ C) ∅ D) ∈

7. The abstract idea of 'negation' or 'not' is commonly symbolized by which character?

A) ∧ B) ∨ C) ¬ D) →

8. Which symbol represents the abstract concept of 'infinity'?

A) π B) ∞ C) Δ D) Ω

9. In propositional logic, the symbol '∧' typically denotes which logical connective?

A) OR B) NOT C) IF...THEN D) AND

10. The abstract idea of 'equivalence' or 'if and only if' is represented by which symbol?

A) ↔ B) → C) ← D) ⇌

11. What abstract concept does the symbol '∀' represent in predicate logic?

A) There exists B) For all C) Not D) Implies

12. The symbol '∈' signifies that an element belongs to which abstract entity?

A) A set B) A number line C) A sequence D) A function

13. Consider the abstract idea of 'implication'. Which symbol is used to represent 'if P, then Q'?

A) P ∨ Q B) P ∧ Q C) P → Q D) P ↔ Q

14. What abstract concept does the symbol '∃' represent in predicate logic?

A) For all B) There exists C) And D) Or

15. The symbol '≠' denotes the abstract idea of:

A) Equality B) Inequality C) Approximation D) Proportionality

16. In set theory, the symbol '∪' represents the union of two sets, which is the abstract idea of:

A) Elements common to both sets B) Elements in either set or both C) Elements not in either set D) Elements in the first set but not the second

17. What abstract idea is represented by the symbol '∅' or '{}'?

A) Universal set B) Empty set C) Power set D) Subset

18. The symbol '≈' is used to represent:

A) Exactly equal to B) Not equal to C) Approximately equal to D) Identically equal to

19. In the context of abstract reasoning, what does a sequence like 'A, C, E, G, ...' suggest about the relationship between symbols?

A) Alternating patterns B) Skipping letters based on position C) Alphabetical progression with a consistent gap D) Random selection

20. Consider abstract symbols representing geometric shapes. If a triangle represents 'three sides' and a square represents 'four sides', what abstract idea is being conveyed?

A) Color association B) Number of sides C) Material composition D) Origin of the shape

21. The abstract concept of 'proportionality' is often represented by which symbol?

A) ∝ B) ∠ C) ⊥ D) ∥

22. In a coding-decoding problem, if 'CAT' is coded as 'DBU', what abstract idea is being applied?

A) Letter substitution based on a fixed shift B) Reversal of letters C) Vowel replacement D) Syllable manipulation

23. What abstract idea does the symbol '√' represent?

A) Squaring B) Cube root C) Square root D) Logarithm

24. If a problem states 'All A are B', what abstract relationship is being described?

A) Overlap B) Exclusion C) Subset D) Disjoint sets

25. The abstract idea of 'difference' or 'symmetric difference' between two sets A and B is denoted by:

A) A ∩ B B) A ∪ B C) A Δ B D) A ⊂ B

26. In abstract reasoning puzzles, a pattern of alternating symbols (e.g., Circle, Square, Circle, Square) suggests:

A) A single repeating element B) Two elements alternating in sequence C) Increasing complexity D) Decreasing complexity

27. What abstract concept does the symbol '!' represent in mathematics, particularly with numbers?

A) Prime number B) Factorial C) Absolute value D) Percentage

28. Consider the abstract idea of 'parallel lines'. Which symbol is used to denote that line AB is parallel to line CD?

A) AB ⊥ CD B) AB ∥ CD C) AB ≅ CD D) AB ↔ CD

29. In logical deduction, if we have premises and a conclusion, what abstract relationship is being tested?

A) Causation B) Correlation C) Implication D) Association

30. The abstract idea of 'perpendicular' lines is denoted by which symbol?

A) ∥ B) ⊥ C) ≅ D) ∠

31. If a pattern involves rotating a shape by 90 degrees clockwise in each step, what abstract principle is at play?

A) Reflection B) Translation C) Rotation D) Scaling

32. What abstract concept does the symbol 'log' represent?

A) Exponentiation B) Logarithm C) Root D) Trigonometry

33. In abstract reasoning, a statement like 'No X is Y' implies:

A) Some X are Y B) All X are Y C) X and Y are disjoint sets D) X is a subset of Y

34. The symbol '∠' represents the abstract idea of:

A) Line segment B) Angle C) Arc D) Circle

35. If a sequence involves adding increasing numbers (e.g., +1, +2, +3, ...), this represents an abstract idea of:

A) Constant increment B) Decreasing increment C) Increasing increment D) Alternating increment

36. What abstract concept does the symbol '±' represent?

A) Multiplication and division B) Addition and subtraction C) Plus or minus D) Greater than or equal to

37. In a problem where figures are mirrored, what abstract transformation is being applied?

A) Rotation B) Translation C) Reflection D) Dilation

38. The abstract idea of 'union' in logical propositions (OR) is represented by:

A) ∧ B) ∨ C) ¬ D) →

39. If 'a' relates to 'b' and 'c' relates to 'd' in the same way, what abstract principle is at work?

A) Negation B) Analogy C) Contradiction D) Inclusion

40. What abstract concept does the symbol '°' typically represent in measurements like temperature or angles?

A) Second B) Minute C) Degree D) Radian

41. In abstract reasoning, if a pattern involves filling in a shape, what abstract idea might be represented?

A) Shading or density B) Outline only C) Transparency D) Texture

42. The symbol '∃!' represents the abstract idea of:

A) There exists at least one B) There exists no C) There exists a unique D) There exist many

43. If a sequence progresses by squaring the previous number (e.g., 2, 4, 16, 256), what abstract mathematical operation is central?

A) Addition B) Multiplication C) Exponentiation D) Division

44. What abstract concept does the symbol '∈' denote when used with sets?

A) Is a subset of B) Is an element of C) Is a superset of D) Is not an element of

45. Consider the abstract idea of 'complement' in set theory. Which symbol is often used?

A) ∩ B) ∪ C) A' D) ⊂

46. In abstract reasoning, if a set of figures changes color in a repeating cycle, what abstract principle is demonstrated?

A) Shape transformation B) Size variation C) Color cycle D) Position shift

47. The symbol '→' in logic commonly represents:

A) Conjunction (AND) B) Disjunction (OR) C) Implication (IF...THEN) D) Negation (NOT)

48. What abstract idea does the symbol '≈' convey?

A) Exact equality B) Rough similarity C) Proportionality D) Identity

49. If a puzzle uses symbols like '1', '2', '3' to represent steps in a process, what abstract concept is being illustrated?

A) Random order B) Sequential order C) Parallel processing D) Conditional execution

50. The abstract concept of 'set difference' (A minus B) is often represented by:

A) A ∪ B B) A ∩ B C) A \ B D) A ↔ B

abstract ideas and symbols - Online Test

Test Results