Mock Test 5 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
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Section A: Reasoning Ability (Q1–35)
- Eight people sit around a circular table facing the centre. R sits third to the left of S. T sits opposite S. U sits immediately to the right of T. Where does U sit relative to R?
(a) Second to the right (b) Second to the left (c) Opposite R (d) Immediately left - Pointing to a woman, a man said, "She is the daughter of my father's only sister." How is the woman related to the man?
(a) Cousin (b) Sister (c) Niece (d) Aunt - Find the next term: 6, 15, 33, 69, ?
(a) 141 (b) 138 (c) 144 (d) 135 - If in a code, WORLD is coded as XPSME, how is PLANET coded using the same rule?
(a) QMBOFU (b) QMBOFT (c) QMBNFU (d) PMBOFU - Seven people sit in a row facing north. A is third from the left. B sits immediately to the left of A. C sits at the right end. There are exactly two people between A and C. Where does B sit?
(a) Second from the left (b) Fourth from the left (c) First from the left (d) Third from the left - Choose the odd one out.
(a) Copper (b) Iron (c) Aluminium (d) Diamond - Premises: "All inspectors are officers. All officers are gazetted." Which conclusion follows?
(a) All inspectors are gazetted (b) All gazetted people are inspectors (c) No inspectors are gazetted (d) Some officers are not inspectors - A walks 10 km south, turns right and walks 14 km, then turns right again and walks 10 km. How far is he from the start?
(a) 14 km (b) 10 km (c) 18 km (d) 24 km - Arrange in a logical sequence: 1. Verdict 2. Trial 3. Arrest 4. Chargesheet
(a) 3-4-2-1 (b) 1-2-3-4 (c) 3-2-4-1 (d) 4-3-2-1 - If in a code, BOMBAY is written as CPNCBZ, how is MADRAS written?
(a) NBESBT (b) NBESBS (c) NBESAT (d) MBESBT - Given: A > B ≥ C > D and C ≥ E. Does A > E follow?
(a) Yes, A > E follows validly (b) No, it cannot be determined (c) Only if B = C (d) Only if D = E - Data Sufficiency: "What is the value of k?" Statement I: 6k − 12 = 24. Statement II: k is a positive integer. 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 together are required (d) Neither is sufficient even together - In a row of 55 people, Karan is 20th from the left. What is his position from the right?
(a) 36th (b) 35th (c) 37th (d) 34th - Find the missing number: 7, 15, 32, 67, ?
(a) 138 (b) 136 (c) 140 (d) 134 - A is the daughter of B. C is the brother of A. D is the son of C. How is B related to D?
(a) Grandfather/Grandmother (b) Father (c) Uncle (d) Brother - Complete the series: CF, GJ, KN, OR, ?
(a) SV (b) SW (c) TV (d) SU - Statement: All warehouses are storage units. No storage unit is left unlocked. Conclusion: No warehouse is left unlocked.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 9 boxes (box 1 at the bottom), box X is directly above box Y, and Y is five positions above box Z. How many positions separate X and Z?
(a) 6 (b) 5 (c) 7 (d) 4 - If each letter is shifted forward by four positions, CAT becomes GEX. Using the same rule, DOG becomes:
(a) HSK (b) HSJ (c) GSK (d) HRK - A runner finishes 13th from the last in a race of 45 runners. Find the rank from the first.
(a) 33rd (b) 32nd (c) 34th (d) 31st - Six people sit around a circular table facing the centre. J sits opposite M. K sits immediately to the right of J. Where does K sit relative to M?
(a) Second to the left of M (b) Second to the right of M (c) Opposite M (d) Immediately left of M - Premises: "Some teachers are writers. All writers are readers." Which conclusion follows?
(a) Some teachers are readers (b) All teachers are readers (c) No teachers are readers (d) All readers are teachers - P is the mother of Q. R is the son of Q. S is the wife of R. How is P related to S?
(a) Grandmother-in-law (b) Mother (c) Aunt (d) Grandmother - Find the odd pair: (2,8), (3,27), (4,60), (5,125)
(a) (4,60) (b) (2,8) (c) (3,27) (d) (5,125) - In a code language, "annual budget review process" is coded as "mi ko lo pa", "budget for departments" is coded as "lo ni ra", and "review for progress" is coded as "ko ni ta". What is the code for "review"?
(a) ko (b) mi (c) lo (d) pa - Given: P ≥ Q > R and R ≥ S. Which relationship necessarily holds between P and S?
(a) P > S (b) P < S (c) P = S (d) Cannot be determined - In a floor puzzle of 13 floors (ground=1, top=13), a person exactly midway between floor 3 and floor 13 lives on floor:
(a) 8 (b) 7 (c) 9 (d) 8.5 - Choose the odd one out.
(a) Oxygen (b) Nitrogen (c) Hydrogen (d) Water - If in a code, PLANT is coded as RNCPV (shift forward by 2), how is FLOWER coded?
(a) HNQYGT (b) HNQYGS (c) HNQXGT (d) GNQYGT - In a line of 50 people, Neha is 21st from the left. How many people are to her right?
(a) 29 (b) 28 (c) 30 (d) 27 - Statement: All silos are storage structures. Some storage structures are underground. Conclusion I: Some silos are underground. Conclusion II: All storage structures are silos. Which follows?
(a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow - P is the father of Q. Q is the sister of R. R is the husband of S. S is the mother of T. How is P related to T?
(a) Grandfather (b) Father (c) Uncle (d) Great-grandfather - Find the next term: 2, 5, 12, 27, ?
(a) 58 (b) 56 (c) 60 (d) 54 - In a row of 13 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 6 (b) 7 (c) 5 (d) 6.5 - Data Sufficiency: "Is m a multiple of 15?" Statement I: m is a multiple of 3. Statement II: m is a multiple of 5. Which is sufficient?
(a) Both statements together are sufficient, but neither alone is (b) Statement I alone is sufficient (c) Statement II alone is sufficient (d) Neither is sufficient even together
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹18,000 at 8% per annum for 3 years.
(a) ₹4,320 (b) ₹4,200 (c) ₹4,400 (d) ₹4,100 - A shopkeeper sells an article for ₹777 at a profit of 11%. Find the cost price.
(a) ₹700 (b) ₹690 (c) ₹710 (d) ₹680 - The average of 25 numbers is 45. If one number is removed, the average becomes 43 for the remaining 24. Find the removed number.
(a) 93 (b) 90 (c) 96 (d) 88 - A sum of ₹260 is divided in the ratio 7:6. Find the larger part.
(a) ₹140 (b) ₹135 (c) ₹145 (d) ₹130 - 35% of a number is 245. Find the number.
(a) 700 (b) 680 (c) 720 (d) 660 - A car travels 240 km in 4 hours and then 180 km in 3 hours. Find the average speed for the whole journey.
(a) 60 km/h (b) 58 km/h (c) 62 km/h (d) 55 km/h - Find the compound interest on ₹18,000 for 2 years at 10% per annum, compounded annually.
(a) ₹3,780 (b) ₹3,600 (c) ₹3,900 (d) ₹3,500 - Pipe A can fill a tank in 8 minutes and pipe B in 12 minutes. If both are opened together, how long will they take to fill the tank?
(a) 4.8 minutes (b) 5 minutes (c) 4.5 minutes (d) 5.5 minutes - A boat's speed in still water is 16 km/h and the stream flows at 8 km/h. Find the time to cover 96 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 4, 20, 100, 500, ?
(a) 2,500 (b) 2,400 (c) 2,600 (d) 2,300 - An article with cost price ₹320 is sold for ₹480. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is twice as old as B. Twelve years ago, A was five times as old as B. Find B's present age.
(a) 16 years (b) 14 years (c) 18 years (d) 20 years - Solve for x: 14(x − 10) = 6x + 20.
(a) 20 (b) 18 (c) 22 (d) 19 - Find the area of a rectangle with length 32 cm and breadth 20 cm.
(a) 640 sq cm (b) 620 sq cm (c) 660 sq cm (d) 600 sq cm - Two numbers are in the ratio 5:8. If their sum is 195, find the larger number.
(a) 120 (b) 115 (c) 125 (d) 110 - A sum of ₹2,25,000 is divided between A and B such that A's share is 175% more than B's share. Find B's share.
(a) ₹60,000 (b) ₹65,000 (c) ₹55,000 (d) ₹58,000 - Find the average of the first 100 natural numbers.
(a) 50.5 (b) 50 (c) 51 (d) 49.5 - A marked price of ₹5,600 is discounted by 15%. Find the selling price.
(a) ₹4,760 (b) ₹4,700 (c) ₹4,800 (d) ₹4,650 - Find the missing number in the series: 16, 34, 70, 142, ?
(a) 286 (b) 282 (c) 290 (d) 278 - A invests ₹60,000 for 10 months and B invests ₹1,00,000 for 6 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 5:6 - A sum quadruples itself in 30 years at simple interest. Find the rate of interest per annum.
(a) 10% (b) 12% (c) 8% (d) 15% - Find the perimeter of a square with area 324 sq cm.
(a) 72 cm (b) 68 cm (c) 76 cm (d) 64 cm - A train 200 m long crosses a pole in 10 seconds. Find its speed in km/h.
(a) 72 km/h (b) 70 km/h (c) 75 km/h (d) 68 km/h - Find the value of x: x² − 11x + 30 = 0 (smaller root).
(a) 5 (b) 6 (c) 4 (d) 3 - A shopkeeper marks an article 60% above cost price and gives a discount of 25%. Find the overall profit percentage.
(a) 20% (b) 25% (c) 18% (d) 22% - Find the average of the first 45 odd natural numbers.
(a) 45 (b) 44 (c) 46 (d) 43 - A sum of ₹1,38,000 is divided between A and B such that A's share is 260% more than B's share. Find B's share.
(a) ₹30,000 (b) ₹32,000 (c) ₹28,000 (d) ₹34,000 - Two pipes can fill a tank in 12 and 18 minutes respectively. A third pipe can empty it in 36 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 7.2 minutes (b) 8 minutes (c) 6.5 minutes (d) 9 minutes - Find the next term: 8, 18, 38, 78, ?
(a) 158 (b) 156 (c) 160 (d) 154 - A's income is 60% more than B's income. By what percentage is B's income less than A's income?
(a) 37.5% (b) 40% (c) 35% (d) 42% - Find the compound interest on ₹50,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹5,125 (b) ₹5,000 (c) ₹5,250 (d) ₹4,900 - A works four times as fast as B. If B alone completes a task in 40 days, in how many days can A and B together complete it?
(a) 8 days (b) 9 days (c) 10 days (d) 7 days - Find the value of: 25% of 320 + 15% of 400.
(a) 140 (b) 135 (c) 145 (d) 130 - A sum of ₹70,000 is lent at 6% per annum simple interest. Find the amount after 4 years.
(a) ₹86,800 (b) ₹85,000 (c) ₹87,500 (d) ₹84,000 - Find the next term: 6, 15, 33, 69, 141, ?
(a) 285 (b) 280 (c) 290 (d) 275
Answer Key with Explanations
1.(a) Placing S, then R three seats to S's left, T opposite S, and U immediately right of T fixes U two seats to the right of R when traced around the circle.
2.(a) The man's father's only sister is his aunt, and the aunt's daughter is his cousin.
3.(a) Each term follows ×2+3: 6×2+3=15, 15×2+3=33, 33×2+3=69, 69×2+3=141.
4.(a) Each letter shifts forward by one position: P→Q, L→M, A→B, N→O, E→F, T→U.
5.(a) With A third from the left and B immediately to A's left, B sits second from the left.
6.(a) Copper, Iron, and Aluminium are metals, while Diamond is a non-metal (a form of carbon).
7.(a) All inspectors are officers, and all officers are gazetted, so all inspectors are gazetted follows validly.
8.(a) The southward and northward legs (10 km each) cancel out, leaving only the 14 km eastward displacement.
9.(a) The natural sequence is: arrest, chargesheet, trial, and verdict.
10.(a) Each letter shifts forward by one position: M→N, A→B, D→E, R→S, A→B, S→T.
11.(a) A>B≥C gives A>C (one strict link); C≥E then gives A>E.
12.(a) Statement I gives 6k=36, so k=6, a single definite value; Statement II alone only narrows k to positive integers, not a unique value.
13.(a) Position from the right = 55−20+1 = 36th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 7×2+1=15, 15×2+2=32, 32×2+3=67, 67×2+4=138.
15.(a) A is B's daughter, and C is A's brother (also B's child); D is C's son, making D B's grandchild, so B is D's grandfather or grandmother.
16.(a) Each pair's first letter advances by four (C, G, K, O, S) and the second letter advances by four (F, J, N, R, V), giving SV.
17.(a) All warehouses are storage units, and no storage unit is left unlocked, so no warehouse is left unlocked follows validly.
18.(a) X is one position above Y, and Y is five positions above Z, so X is 1+5=6 positions above Z.
19.(a) Each letter shifts forward by four positions: D→H, O→S, G→K.
20.(a) Rank from the first = 45−13+1 = 33rd.
21.(a) With J and M opposite in a 6-seat circle (3 seats apart) and K immediately to J's right, K ends up two seats to the left of M.
22.(a) Some teachers are writers, and all writers are readers, so some teachers are readers follows validly.
23.(a) P is Q's mother, R is Q's son (P's grandson), and S is R's wife, making P a grandmother-in-law to S.
24.(a) In each pair the second number is the cube of the first except (4,60), since 4³=64, not 60.
25.(a) "review" is common to "annual budget review process" and "review for progress"; comparing with "budget for departments" isolates "ko" as the code for "review".
26.(a) P≥Q>R gives P>R (one strict link); R≥S then gives P>S.
27.(a) Midway between floor 3 and floor 13 is (3+13)/2 = 8.
28.(a) Oxygen, Nitrogen, and Hydrogen are elements, while Water is a compound.
29.(a) Each letter shifts forward by two positions: F→H, L→N, O→Q, W→Y, E→G, R→T.
30.(a) People to Neha's right = 50−21 = 29.
31.(a) The premises do not guarantee any silo is underground, and clearly not all storage structures are silos, so neither conclusion follows.
32.(a) Q and R are P's children; R is S's husband and S is T's mother, so R is T's father, making P (R's father) T's grandfather.
33.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 2×2+1=5, 5×2+2=12, 12×2+3=27, 27×2+4=58.
34.(a) In a row of 13 with one person exactly in the middle (7th position), 6 people sit on each side.
35.(a) Statement I alone (multiple of 3) and Statement II alone (multiple of 5) are each insufficient, but together they guarantee a multiple of 15.
36.(a) Simple interest = (18,000×8×3)/100 = ₹4,320.
37.(a) Cost price = 777/1.11 = ₹700.
38.(a) Total of 25 numbers = 25×45 = 1,125; total of remaining 24 = 24×43 = 1,032; removed number = 1,125−1,032 = 93.
39.(a) The parts total 7+6 = 13; each part = 260/13 = 20; larger part = 7×20 = ₹140.
40.(a) The number = 245/0.35 = 700.
41.(a) Total distance = 240+180 = 420 km; total time = 4+3 = 7 hours; average speed = 420/7 = 60 km/h.
42.(a) Amount = 18,000×(1.10)² = 21,780; compound interest = ₹3,780.
43.(a) Combined rate = 1/8+1/12 = 3/24+2/24 = 5/24, so together they take 24/5 = 4.8 minutes.
44.(a) Downstream speed = 16+8 = 24 km/h; time = 96/24 = 4 hours.
45.(a) Each term is multiplied by 5: 4×5=20, 20×5=100, 100×5=500, 500×5=2,500.
46.(a) Profit = 480−320 = ₹160; profit percentage = (160/320)×100 = 50%.
47.(a) Let B's present age be x and A's be 2x; twelve years ago, 2x−12 = 5(x−12), giving 2x−12 = 5x−60, so 3x=48, x=16.
48.(a) 14(x−10)=6x+20 gives 14x−140=6x+20, so 8x=160, x=20.
49.(a) Area = 32×20 = 640 sq cm.
50.(a) The parts total 5+8 = 13; each part = 195/13 = 15; larger number = 8×15 = 120.
51.(a) A's share is 2.75 times B's (175% more), giving an 11:4 ratio; each of the 15 parts = 2,25,000/15 = 15,000, so B's share = 4×15,000 = ₹60,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 100 is 101/2 = 50.5.
53.(a) Selling price = 5,600×0.85 = ₹4,760.
54.(a) Each term follows ×2+2: 16×2+2=34, 34×2+2=70, 70×2+2=142, 142×2+2=286.
55.(a) A:B ratio = (60,000×10):(1,00,000×6) = 6,00,000:6,00,000 = 1:1.
56.(a) A sum quadrupling means the interest earned equals three times the principal; rate = (3×100)/30 = 10% per annum.
57.(a) Side of the square = √324 = 18 cm; perimeter = 4×18 = 72 cm.
58.(a) Speed = 200 m / 10 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−11x+30=0 factorises as (x−5)(x−6)=0, giving roots 5 and 6; the smaller root is 5.
60.(a) Marking 60% above cost price and giving a 25% discount gives selling price = CP×1.60×0.75 = 1.20×CP, a net profit of 20%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 45 odd numbers is 45.
62.(a) A's share is 3.6 times B's (260% more), giving an 18:5 ratio; each of the 23 parts = 1,38,000/23 = 6,000, so B's share = 5×6,000 = ₹30,000.