Mock Test 2 — Reasoning & Quantitative Aptitude (Prelims-Style, 50 MCQs)

A second representative practice test, covering the same proportional weighting as Mock Test 1 with a different question set. Suggested time limit: 35 minutes.

Section A: Reasoning Ability (25 Questions)

1. Choose the odd one out: Apple, Banana, Carrot, Mango
   (a) Apple (b) Banana (c) Carrot (d) Mango
2. In a circular arrangement of 12 people facing the centre, how many people sit between two people seated exactly opposite each other, counting one way around?
   (a) 4 (b) 5 (c) 6 (d) 7
3. A woman walks 9 km east, then turns left and walks 40 km. How far is she from her starting point?
   (a) 40 km (b) 41 km (c) 42 km (d) 49 km
4. If in a code, PARIS is written as QBSJT (each letter shifted forward by 1), how is TOKYO written?
   (a) UPLZP (b) UPLZQ (c) UPMZP (d) VPLZP
5. If A is B's father, B is C's wife, and C is D's son, then A is D's:
   (a) Grandfather (b) Father-in-law (c) Uncle (d) Brother
6. Given: "All engineers are graduates. Some graduates are researchers." Which conclusion necessarily follows?
   (a) All engineers are researchers (b) Some graduates are engineers (c) No definite conclusion about engineers being researchers can be drawn from these two statements alone (d) No engineers are graduates
7. Given: M ≥ N > O ≥ P. Which of the following must be true?
   (a) M > P (b) P > M (c) N < P (d) O > M
8. In a floor-based puzzle (11 floors, ground = 1), a person living exactly midway between floors 3 and 11 lives on floor:
   (a) 6 (b) 7 (c) 8 (d) 9
9. In order and ranking, a candidate ranks 22nd from the bottom in a group of 60. Their rank from the top is:
   (a) 38th (b) 39th (c) 40th (d) 41st
10. In the number series 6, 13, 27, 55, ?, what is the pattern (×2+1) and next term?
    (a) 109 (b) 110 (c) 111 (d) 112
11. Data Sufficiency: "What is the value of w?" Statement I: w is a prime number less than 10. Statement II: w + 3 = 10. 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 8 stacked boxes (box 1 at the bottom), box X is directly above box Y, which is directly above box Z. If Z is box 3, X is box:
    (a) 4 (b) 5 (c) 6 (d) 7
13. In the letter series F, K, Q, X, ?, what is the next letter (gaps +5,+6,+7, next +8; with wraparound past Z if needed)?
    (a) E (b) F (c) G (d) D
14. Machine Input-Output questions are best solved by:
    (a) Identifying the pattern from the given example step-by-step and replicating it precisely (b) Guessing the final output randomly (c) Assuming every step reverses the word order (d) Ignoring the given example entirely
15. Syllogisms are best verified using:
    (a) Bar graphs (b) Venn diagrams (c) Line charts (d) Pie charts
16. Pointing to a photograph, a man says, "She is my father's mother." How is the woman related to the man?
    (a) Mother (b) Grandmother (c) Aunt (d) Sister
17. In a linear arrangement, if exactly 6 people sit to the left of J and exactly 7 people sit to the right of J, the total number of people in the row is:
    (a) 12 (b) 13 (c) 14 (d) 15
18. Given: "No managers are interns. All interns are trainees." Which conclusion necessarily follows?
    (a) No managers are trainees (b) Some trainees are not managers, specifically the interns (c) All managers are trainees (d) All trainees are interns
19. In the alphanumeric series D4, H8, L12, P16, ?, what is the next term (letters skip three, numbers multiples of 4)?
    (a) T20 (b) S20 (c) T19 (d) S19
20. In a scheduling puzzle involving 5 weekdays (Monday-Friday), if an event cannot be held on Monday or Tuesday, and must be held exactly 2 days after the first available day, on which day is it held?
    (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
21. In a box-based puzzle, if box A is directly above box B, and box B is directly above box C, then A is how many positions above C?
    (a) 1 (b) 2 (c) 3 (d) Cannot be determined
22. Inequality reasoning conclusions are 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 90, 84, 75, 63, ?, what is the pattern (differences 6,9,12, next 15) and next term?
    (a) 46 (b) 48 (c) 50 (d) 52
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)

26. Simplify: 35% of 400 + 25% of 320.
    (a) 210 (b) 220 (c) 225 (d) 230
27. Quadratic: Equation I: x² − 6x + 8 = 0. Equation II: y² − 10y + 24 = 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 ∈ {2,4} and y ∈ {4,6} overlap at x=4,y=4 (d) x = y always
28. A shopkeeper buys an item for ₹680 and sells it for ₹850. What is the profit percentage?
    (a) 20% (b) 22.5% (c) 25% (d) 28%
29. Find the compound interest on ₹20,000 at 15% per annum for 2 years, compounded annually.
    (a) ₹6250 (b) ₹6350 (c) ₹6450 (d) ₹6550
30. A and B together can complete a task in 12 days; A alone takes 20 days. In how many days can B alone complete it?
    (a) 28 days (b) 30 days (c) 32 days (d) 34 days
31. Two trains 140 m and 160 m long, moving towards each other at 54 km/h and 36 km/h, take how much time to cross each other?
    (a) 10 seconds (b) 12 seconds (c) 14 seconds (d) 16 seconds
32. A bag contains 6 red and 9 blue balls. What is the probability of drawing a blue ball?
    (a) 2/5 (b) 3/5 (c) 1/2 (d) 3/8
33. In how many ways can a committee of 3 be selected from 8 people?
    (a) 48 (b) 56 (c) 64 (d) 72

Table: A retailer's monthly revenue (₹ thousand) across three product lines:

34. What is the total Electronics revenue across the three months?
    (a) 580 (b) 590 (c) 600 (d) 610
35. What is the percentage increase in Electronics revenue from April to June?
    (a) 18.2% (b) 20.0% (c) 22.2% (d) 25.0%
36. In June, what is the ratio of Apparel to Groceries revenue?
    (a) 13:16 (b) 16:13 (c) 5:4 (d) 4:5

Pie Chart: A survey of 900 respondents' favourite cuisine: Indian (40%), Chinese (25%), Italian (20%), Continental (15%).

37. How many respondents prefer Chinese cuisine?
    (a) 210 (b) 220 (c) 225 (d) 230

38. What is the central angle of the "Italian" sector?
    (a) 64° (b) 68° (c) 72° (d) 76°

39. How many more respondents prefer Indian over Continental cuisine?
    (a) 220 (b) 225 (c) 230 (d) 235

40. In the series 1, 4, 9, 16, 25, ?, what is the next term (perfect squares)?
    (a) 30 (b) 32 (c) 36 (d) 40

41. Find the simple interest on ₹11,000 at 7% per annum for 4 years.
    (a) ₹2980 (b) ₹3080 (c) ₹3180 (d) ₹3280

42. Approximate the value of: 20.1% of 750 + 40.2% of 250.
    (a) 245 (b) 250 (c) 255 (d) 260

43. Find the ratio in which two varieties of sugar costing ₹40/kg and ₹60/kg must be mixed to get a mixture costing ₹45/kg.
    (a) 1:3 (b) 3:1 (c) 1:1 (d) 2:3

44. Two dice are rolled together. What is the probability of getting a sum of 9?
    (a) 1/6 (b) 1/9 (c) 1/12 (d) 5/36

45. A car travels at 108 km/h. What is its speed in metres per second?
    (a) 28 m/s (b) 30 m/s (c) 32 m/s (d) 34 m/s

46. Solve for x: 3x² − 27 = 0.
    (a) x = ±2 (b) x = ±3 (c) x = ±4 (d) x = ±9

47. A sum of ₹18,000 amounts to ₹23,400 in 3 years at simple interest. What is the annual rate of interest?
    (a) 8% (b) 9% (c) 10% (d) 11%

48. In how many ways can 3 people be arranged in a row from a group of 6?
    (a) 100 (b) 110 (c) 120 (d) 130

49. Find the average of the first 6 multiples of 7.
    (a) 22.5 (b) 24.5 (c) 26.5 (d) 28.5

50. A shopkeeper marks an item 25% above cost price and gives a 12% discount. What is his net profit percentage?
    (a) 8% (b) 10% (c) 12% (d) 13%

Answer Key

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

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