PAF Aeronautical Engineering Intelligence Test Syllabus

Intelligence Test syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Intelligence Test in PAF Aeronautical Engineering, not a summary of it.

1. 1

   Verbal Reasoning

   6 topics

   • Series Completion
   • Analogies
   • Classification (Odd One Out)
   • Coding-Decoding
   • Blood Relations
   • Synonyms and Antonyms
2. 2

   Logical Reasoning

   5 topics

   • Direction Sense
   • Ranking and Ordering
   • Seating Arrangement
   • Syllogisms
   • Statement and Conclusion
3. 3

   Mathematical Reasoning

   5 topics

   • Age Problems
   • Number and Counting Problems
   • Ratio and Proportion Reasoning
   • Clock and Calendar Problems
   • Data Sufficiency
4. 4

   Non-Verbal Reasoning

   8 topics

   • Pattern Completion
   • Figure Series and Analogies
   • Odd Figure Out
   • Mirror Images
   • Water Images
   • Paper Folding and Cutting
   • Embedded and Hidden Figures
   • Cubes and Dice
5. 5

   Spatial and Mechanical Aptitude

   4 topics

   • Spatial Visualization
   • Rotation of Figures
   • Mechanical Comprehension Basics
   • Gears, Pulleys and Levers

Intelligence Test flashcards for PAF Aeronautical Engineering

21 of 50 cards from the Intelligence Test deck — real questions with worked answers.

1. What is a Series Completion problem in intelligence tests?

   A problem where a sequence of numbers, letters, or symbols follows a hidden rule/pattern, and you must identify the rule to find the missing or next term that logically continues the series.

2. In a Number Series, what are the most common underlying patterns to check first?

   Constant difference (arithmetic), constant ratio (geometric), squares/cubes, prime numbers, and alternating or two-step patterns where you check differences of differences.

3. What is the next term in the arithmetic series $2, 5, 8, 11, \ldots$ and what is the common difference?

   The common difference is $d = 3$, so the next term is $11 + 3 = 14$.

4. Give the formula for the $n$-th term of an arithmetic series with first term $a$ and common difference $d$.

   $a_{n} = a + (n-1)d$

5. Find the next term in the geometric series $3, 6, 12, 24, \ldots$ and state the common ratio.

   The common ratio is $r = 2$, so the next term is $24 \times 2 = 48$.

6. Give the formula for the $n$-th term of a geometric series with first term $a$ and common ratio $r$.

   $a_{n} = a \cdot r^{\,n-1}$

7. Identify the pattern and next term in the series $1, 4, 9, 16, 25, \ldots$

   These are perfect squares ($n^{2}$): $1^2, 2^2, 3^2, 4^2, 5^2$. The next term is $6^{2} = 36$.

8. Identify the rule of the series $2, 6, 12, 20, 30, \ldots$ (product/difference pattern).

   Each term is $n(n+1)$: $1\cdot2, 2\cdot3, 3\cdot4, \ldots$; differences increase by 2 ($4,6,8,10$). Next term is $6 \times 7 = 42$.

9. What is the rule of the Fibonacci-type series $1, 1, 2, 3, 5, 8, \ldots$?

   Each term is the sum of the two preceding terms: $a_{n} = a_{n-1} + a_{n-2}$. The next term is $5 + 8 = 13$.

10. What is a Letter Series and how do you usually solve it?

    A sequence of letters following a positional pattern in the alphabet. Solve it by converting letters to their position numbers ($A=1, B=2, \ldots, Z=26$) and finding the numeric pattern, then converting back.

11. In the alphabet, what are the position numbers of the letters A, M, N, and Z?

    $A = 1$, $M = 13$, $N = 14$, $Z = 26$.

12. Find the next letter in the series A, C, E, G, $\ldots$

    The letters skip one each time (positions $1, 3, 5, 7$, i.e. $+2$). The next is position $9 = I$.

13. What is the 'reverse alphabet' (complement) trick, and what letter pairs with B?

    Each letter pairs with its mirror so positions sum to 27 ($A\leftrightarrow Z$, $B\leftrightarrow Y$, etc.). B (position 2) pairs with position $27-2=25 = Y$.

14. What is an Alphanumeric Series?

    A series that mixes letters, numbers, and sometimes symbols together (e.g. B2, D4, F6...), where you must track separate or interleaved patterns for the letters and the numbers simultaneously.

15. In the alphanumeric series B2, D4, F6, H8, $\ldots$, what comes next?

    Letters advance by 2 (B, D, F, H, J) and numbers increase by 2 (2, 4, 6, 8, 10), so the next term is J10.

16. What is an Analogy question in reasoning?

    A question of the form 'A is to B as C is to D', where the relationship between the first pair must be identified and then applied to find the missing fourth term of the second pair.

17. What is a Word Analogy and what types of relationships are commonly tested?

    An analogy between words. Common relationships: synonym, antonym, part-to-whole, worker-to-tool, cause-effect, object-function, category-member, and degree of intensity.

18. Complete the word analogy: 'Pen : Write :: Knife : ?' and name the relationship.

    Answer: Cut. The relationship is tool-to-function (an object and the action it performs).

19. Complete the analogy: 'Hot : Cold :: Up : ?' and identify the relationship.

    Answer: Down. The relationship is antonym (opposite pairs).

20. What is a Number Analogy and how is it solved?

    An analogy between number pairs (e.g. $2:8 :: 3:?$) where you find the arithmetic relationship in the first pair (here $\times 4$ or $n^{3}$) and apply it to the second to get the answer.

21. Solve the number analogy $2 : 8 :: 3 : ?$ using the cube relationship.

    Each result is the cube of the first number: $2^{3}=8$, so $3^{3} = 27$. Answer: 27.

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