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← Index: LIC AAO — Reasoning & Quant CompanionChapter 11
Quantitative Aptitude · Chapter 11

Part VII — Full-Length Mock Tests

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Chapter 7: Mock Test 1 — Reasoning & Quantitative Aptitude (Prelims-Style, 50 MCQs)

This mock test replicates the combined weighting of the LIC AAO Prelims Reasoning Ability and Quantitative Aptitude sections (25 questions each, condensed from the full 35+35 pattern for focused practice). Suggested time limit: 35 minutes.

Section A: Reasoning Ability (25 Questions)

  1. Choose the odd one out: Circle, Square, Triangle, Sphere
    (a) Circle (b) Square (c) Triangle (d) Sphere
  2. In a circular arrangement of 8 people facing the centre, how many people sit between two people seated exactly opposite each other, counting one way around?
    (a) 2 (b) 3 (c) 4 (d) 5
  3. A man walks 7 km north, then turns right and walks 24 km. How far is he from his starting point?
    (a) 24 km (b) 25 km (c) 26 km (d) 31 km
  4. If in a code, LONDON is written as MPOEPO (each letter shifted forward by 1), how is CANADA written?
    (a) DBOBEB (b) DBOBDB (c) DCOBEB (d) DBPBEB
  5. If A is B's mother, B is C's father, and C is D's sister, then A is D's:
    (a) Grandmother (b) Aunt (c) Sister (d) Mother
  6. Given: "All bankers are professionals. Some professionals are auditors." Which conclusion necessarily follows?
    (a) All bankers are auditors (b) Some professionals are bankers (c) No definite conclusion about bankers being auditors can be drawn from these two statements alone (d) No bankers are professionals
  7. Given: P ≥ Q > R ≥ S. Which of the following must be true?
    (a) P > S (b) S > P (c) Q < S (d) R > P
  8. In a floor-based puzzle (9 floors, ground = 1), a person living exactly 3 floors below the topmost floor lives on floor:
    (a) 5 (b) 6 (c) 7 (d) 4
  9. In order and ranking, a candidate ranks 8th from the top in a group of 25. Their rank from the bottom is:
    (a) 17th (b) 18th (c) 19th (d) 20th
  10. In the number series 5, 11, 23, 47, ?, what is the pattern (×2+1) and next term?
    (a) 93 (b) 94 (c) 95 (d) 96
  11. Data Sufficiency: "What is the value of z?" Statement I: 3z + 9 = 30. Statement II: z is a whole number. Which is sufficient?
    (a) Statement I alone is sufficient, Statement II alone is not (b) Statement II alone is sufficient, Statement I alone is not (c) Both statements together are necessary (d) Neither statement is sufficient even together
  12. In a box-based puzzle with 6 stacked boxes (box 1 at the bottom), a box placed exactly in the middle position is:
    (a) Box 3 or Box 4, i.e., both are equally central (b) Box 1 (c) Box 6 (d) Box 5
  13. In the letter series E, J, P, W, ?, what is the next letter (gaps +5,+6,+7, next +8)?
    (a) D (b) E (c) F (d) C
  14. Machine Input-Output questions primarily require candidates to:
    (a) Identify a consistent step-by-step transformation rule and apply it to a new input (b) Guess the final output randomly (c) Only count the number of words in the input (d) Ignore intermediate steps entirely
  15. Venn diagrams are particularly useful for solving:
    (a) Only numerical simplification (b) Syllogism-type logical deduction problems (c) Only direction sense problems (d) Only coding-decoding problems
  16. Pointing to a photograph, a woman says, "He is the son of my mother's only daughter." How is the man related to the woman?
    (a) Brother (b) Son (c) Nephew (d) Father
  17. In a linear arrangement, if exactly 5 people sit to the left of K and exactly 6 people sit to the right of K, the total number of people in the row is:
    (a) 10 (b) 11 (c) 12 (d) 13
  18. Given: "No auditors are clerks. All clerks are employees." Which conclusion necessarily follows?
    (a) No auditors are employees (b) Some employees are not auditors, specifically the clerks (c) All auditors are employees (d) All employees are clerks
  19. In the alphanumeric series C3, F6, I9, L12, ?, what is the next term (letters skip two, numbers multiples of 3)?
    (a) O15 (b) N15 (c) O14 (d) N14
  20. In a scheduling puzzle involving 5 weekdays (Monday-Friday), if an event cannot be held on Monday or Friday, and must be held exactly 1 day before the last available day, on which day is it held?
    (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  21. In a box-based puzzle, if box M is directly above box N, and box N is directly above box O, then M is how many positions above O?
    (a) 1 (b) 2 (c) 3 (d) Cannot be determined
  22. Inequality reasoning conclusions are considered valid only if they:
    (a) Necessarily follow from the given statements under all interpretations (b) Are merely plausible (c) Contradict the given statements (d) Require additional unstated assumptions
  23. In the number series 100, 95, 87, 76, ?, what is the pattern (differences 5,8,11, next 14) and next term?
    (a) 60 (b) 62 (c) 64 (d) 66
  24. Data Sufficiency questions primarily test whether:
    (a) The given data is grammatically correct (b) The given data is sufficient to answer a question (c) The question has no answer (d) Only calculation speed
  25. Coding-decoding questions are best approached by:
    (a) Memorising every possible code in advance (b) Establishing the substitution pattern from the given example and applying it consistently (c) Guessing based on word length alone (d) Ignoring the given example

Section B: Quantitative Aptitude (25 Questions)

  1. Simplify: 30% of 450 + 20% of 250.
    (a) 175 (b) 180 (c) 185 (d) 190
  2. Quadratic: Equation I: x² − 5x + 6 = 0. Equation II: y² − 8y + 15 = 0. What is the relationship between x and y?
    (a) x > y always (b) x < y always (c) A unique relationship cannot be established, since x ∈ {2,3} and y ∈ {3,5} overlap at x=3,y=3 (d) x = y always
  3. A shopkeeper buys an item for ₹720 and sells it for ₹900. What is the profit percentage?
    (a) 20% (b) 25% (c) 22% (d) 30%
  4. Find the compound interest on ₹10,000 at 12% per annum for 2 years, compounded annually.
    (a) ₹2400 (b) ₹2544 (c) ₹2600 (d) ₹2650
  5. A and B together can complete a task in 9 days; A alone takes 15 days. In how many days can B alone complete it?
    (a) 20.5 days (b) 21 days (c) 22.5 days (d) 24 days
  6. Two trains 100 m and 150 m long, moving towards each other at 45 km/h and 30 km/h, take how much time to cross each other?
    (a) 10 seconds (b) 12 seconds (c) 14 seconds (d) 16 seconds
  7. A bag contains 5 red and 5 blue balls. What is the probability of drawing a red ball?
    (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
  8. In how many ways can a committee of 4 be selected from 7 people?
    (a) 30 (b) 35 (c) 40 (d) 45

Table: A company's employee count (in hundreds) across departments and years:

Department 2023 2024 2025
Sales 12 14 16
IT 8 10 12
HR 4 5 6
  1. What is the total employee count (all departments, all years, in hundreds)?
    (a) 85 (b) 87 (c) 89 (d) 91
  2. What is the percentage increase in the IT department's headcount from 2023 to 2025?
    (a) 40% (b) 45% (c) 50% (d) 55%
  3. In 2024, what is the ratio of Sales to HR headcount?
    (a) 14:5 (b) 7:2 (c) 12:5 (d) 5:2

Pie Chart: A city's 720 registered vehicles by type: Two-wheelers (50%), Cars (30%), Commercial (15%), Others (5%).

  1. How many vehicles are Cars?
    (a) 210 (b) 216 (c) 220 (d) 226

  2. What is the central angle of the "Commercial" sector?
    (a) 48° (b) 54° (c) 60° (d) 64°

  3. How many more Two-wheelers are there than Commercial vehicles?
    (a) 240 (b) 250 (c) 252 (d) 260

  4. In the series 4, 9, 16, 25, 36, ?, what is the next term (perfect squares of 2,3,4,5,6,7)?
    (a) 42 (b) 45 (c) 48 (d) 49

  5. Find the simple interest on ₹9000 at 6% per annum for 5 years.
    (a) ₹2400 (b) ₹2500 (c) ₹2600 (d) ₹2700

  6. Approximate the value of: 24.9% of 801 + 15.1% of 599.
    (a) 285 (b) 290 (c) 295 (d) 300

  7. Find the ratio in which two varieties of tea costing ₹120/kg and ₹160/kg must be mixed to get a mixture costing ₹150/kg.
    (a) 1:3 (b) 1:2 (c) 2:3 (d) 3:1

  8. Two dice are rolled together. What is the probability of getting a sum of 8?
    (a) 5/36 (b) 1/6 (c) 1/9 (d) 7/36

  9. A car travels at 90 km/h. What is its speed in metres per second?
    (a) 20 m/s (b) 22.5 m/s (c) 25 m/s (d) 27.5 m/s

  10. Solve for x: 2x² − 8 = 0.
    (a) x = ±2 (b) x = ±4 (c) x = ±1 (d) x = ±3

  11. A sum of ₹12,000 amounts to ₹15,600 in 3 years at simple interest. What is the annual rate of interest?
    (a) 8% (b) 9% (c) 10% (d) 11%

  12. In how many ways can 4 people be arranged in a row from a group of 6?
    (a) 240 (b) 300 (c) 360 (d) 420

  13. Find the average of the first 5 multiples of 6.
    (a) 16 (b) 18 (c) 20 (d) 22

  14. A shopkeeper marks an item 20% above cost price and gives a 10% discount. What is his net profit percentage?
    (a) 6% (b) 8% (c) 10% (d) 12%

Answer Key

Section A: 1.(d) 2.(b) 3.(b) 4.(a) 5.(a) 6.(c) 7.(a) 8.(b) 9.(b) 10.(c) 11.(a) 12.(a) 13.(b) 14.(a) 15.(b) 16.(b) 17.(c) 18.(b) 19.(a) 20.(b) 21.(b) 22.(a) 23.(b) 24.(b) 25.(b)

Section B: 26.(c) 27.(c) 28.(b) 29.(b) 30.(c) 31.(b) 32.(b) 33.(b) 34.(b) 35.(c) 36.(a) 37.(b) 38.(b) 39.(c) 40.(d) 41.(d) 42.(b) 43.(a) 44.(a) 45.(c) 46.(a) 47.(c) 48.(c) 49.(b) 50.(b)

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