Mock Test 4 — Reasoning & Quantitative Aptitude (Prelims Full Pattern, 70 MCQs)
Free study material · concepts, shortcuts & solved questions
Section A: Reasoning Ability (Q1–35)
- Eight people sit around a circular table facing the centre. M sits second to the right of N. O sits opposite N. P sits immediately to the left of O. Where does P sit relative to M?
(a) Third to the left (b) Second to the right (c) Opposite M (d) Immediately to the right - Pointing to a boy, a man said, "He is the son of my wife's mother's only son." How is the man related to the boy?
(a) Father (b) Uncle (c) Brother (d) Grandfather - Find the next term: 4, 10, 22, 46, ?
(a) 94 (b) 92 (c) 96 (d) 90 - If in a code, MOUSE is coded as NPVTF, how is TABLE coded using the same rule?
(a) UBCMF (b) UBCMG (c) UBCLF (d) TBCMF - Seven friends sit in a row facing south. J sits fourth from the left. K sits immediately to the right of J. L sits at the left end. Between J and the right end there are two people. Where does K sit?
(a) Fifth from the left (b) Sixth from the left (c) Fourth from the left (d) Seventh from the left - Choose the odd one out.
(a) Drum (b) Guitar (c) Violin (d) Sitar - Premises: "All tellers are staff. All staff are trained." Which conclusion follows?
(a) All tellers are trained (b) All trained people are tellers (c) No tellers are trained (d) Some staff are not tellers - A walks 9 km east, turns left and walks 12 km, then turns left again and walks 9 km. How far is he from the start?
(a) 12 km (b) 9 km (c) 15 km (d) 21 km - Arrange in a logical sequence: 1. Interview 2. Application 3. Shortlisting 4. Offer letter
(a) 2-3-1-4 (b) 1-2-3-4 (c) 2-1-3-4 (d) 3-2-1-4 - If in a code, LONDON is written as MPOEPO, how is CANADA written?
(a) DBOBEB (b) DBOBDB (c) DCOBEB (d) DBPBEB - Given: A ≥ B > C and C ≥ D. Does A > D follow?
(a) Yes, A > D follows validly (b) No, it cannot be determined (c) Only if B = C (d) Only if C = D - Data Sufficiency: "What is the value of m?" Statement I: 5m + 10 = 45. Statement II: m 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 together are required (d) Neither is sufficient even together - In a row of 60 people, Vibha is 22nd from the left. What is her position from the right?
(a) 39th (b) 38th (c) 40th (d) 37th - Find the missing number: 6, 13, 28, 59, ?
(a) 122 (b) 120 (c) 124 (d) 118 - X is the son of Y. Y is the sister of Z. Z is the father of W. How is X related to W?
(a) Cousin (b) Brother (c) Uncle (d) Nephew - Complete the series: BC, FG, JK, NO, ?
(a) RS (b) RT (c) QS (d) RR - Statement: All ledgers are financial records. No financial record is discarded without audit. Conclusion: No ledger is discarded without audit.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 8 boxes (box 1 at the bottom), box P is directly above box Q, and Q is four positions above box R. How many positions separate P and R?
(a) 5 (b) 4 (c) 6 (d) 3 - If each letter is shifted backward by two positions, VGUEQ decodes as TESCO. Using the same rule, decode YQMG.
(a) WOKE (b) WOKD (c) WNKE (d) XOKE - A runner finishes 9th from the last in a race of 40 runners. Find the rank from the first.
(a) 32nd (b) 31st (c) 33rd (d) 30th - Six people sit around a circular table facing the centre. A sits opposite D. B sits immediately to the right of A. Where does B sit relative to D?
(a) Second to the left of D (b) Second to the right of D (c) Opposite D (d) Immediately left of D - Premises: "Some doctors are researchers. All researchers are scholars." Which conclusion follows?
(a) Some doctors are scholars (b) All doctors are scholars (c) No doctors are scholars (d) All scholars are doctors - P is the father of Q. R is the daughter of Q. S is the husband of R. How is P related to S?
(a) Grandfather-in-law (b) Father (c) Uncle (d) Grandfather - Find the odd pair: (3,27), (4,64), (5,100), (6,216)
(a) (5,100) (b) (3,27) (c) (4,64) (d) (6,216) - In a code language, "quarterly report review meeting" is coded as "zo ka ta lo", "meeting for staff" is coded as "lo ni pa", and "review for growth" is coded as "ta ni ra". What is the code for "review"?
(a) ta (b) zo (c) ka (d) lo - Given: M ≥ N > O and O ≥ P. Which relationship necessarily holds between M and P?
(a) M > P (b) M < P (c) M = P (d) Cannot be determined - In a floor puzzle of 11 floors (ground=1, top=11), a person exactly midway between floor 1 and floor 11 lives on floor:
(a) 6 (b) 5 (c) 7 (d) 5.5 - Choose the odd one out.
(a) Kilogram (b) Metre (c) Kilometre (d) Centimetre - If in a code, TIGER is coded as VKIGT (shift forward by 2), how is LEMON coded?
(a) NGOQP (b) NGOQO (c) NGNQP (d) MGOQP - In a line of 45 people, Divya is 19th from the left. How many people are to her right?
(a) 26 (b) 25 (c) 27 (d) 24 - Statement: All checkposts are barricaded. Some barricaded places are unmanned. Conclusion I: Some checkposts are unmanned. Conclusion II: All barricaded places are checkposts. 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 brother of R. R is the wife of S. S is the father of T. How is P related to T?
(a) Grandfather (b) Father (c) Uncle (d) Great-grandfather - Find the next term: 3, 7, 16, 35, ?
(a) 74 (b) 72 (c) 76 (d) 70 - In a row of 11 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 5 (b) 6 (c) 4 (d) 5.5 - Data Sufficiency: "Is p divisible by 10?" Statement I: p is divisible by 2. Statement II: p is divisible by 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 ₹15,000 at 7% per annum for 4 years.
(a) ₹4,200 (b) ₹4,000 (c) ₹4,400 (d) ₹3,800 - A shopkeeper sells an article for ₹864 at a profit of 8%. Find the cost price.
(a) ₹800 (b) ₹790 (c) ₹810 (d) ₹820 - The average of 22 numbers is 40. If one number is removed, the average becomes 38 for the remaining 21. Find the removed number.
(a) 82 (b) 80 (c) 84 (d) 78 - A sum of ₹224 is divided in the ratio 8:6. Find the larger part.
(a) ₹128 (b) ₹120 (c) ₹132 (d) ₹124 - 63% of a number is 189. Find the number.
(a) 300 (b) 290 (c) 310 (d) 280 - A car travels 210 km in 3 hours and then 150 km in 2 hours. Find the average speed for the whole journey.
(a) 72 km/h (b) 70 km/h (c) 74 km/h (d) 68 km/h - Find the compound interest on ₹15,000 for 2 years at 10% per annum, compounded annually.
(a) ₹3,150 (b) ₹3,000 (c) ₹3,300 (d) ₹2,900 - Pipe A can fill a tank in 10 minutes and pipe B in 15 minutes. If both are opened together, how long will they take to fill the tank?
(a) 6 minutes (b) 7 minutes (c) 5 minutes (d) 8 minutes - A boat's speed in still water is 20 km/h and the stream flows at 5 km/h. Find the time to cover 90 km upstream.
(a) 6 hours (b) 5 hours (c) 7 hours (d) 6.5 hours - Find the next term in the series: 3, 12, 48, 192, ?
(a) 768 (b) 750 (c) 780 (d) 756 - An article with cost price ₹400 is sold for ₹560. Find the profit percentage.
(a) 40% (b) 35% (c) 45% (d) 38% - A is twice as old as B. Ten years ago, A was seven times as old as B. Find B's present age.
(a) 12 years (b) 10 years (c) 14 years (d) 16 years - Solve for x: 13(x − 9) = 7x + 15.
(a) 22 (b) 21 (c) 23 (d) 20 - Find the area of a rectangle with length 28 cm and breadth 18 cm.
(a) 504 sq cm (b) 490 sq cm (c) 512 sq cm (d) 480 sq cm - Two numbers are in the ratio 4:7. If their sum is 165, find the larger number.
(a) 105 (b) 100 (c) 110 (d) 95 - A sum of ₹1,89,000 is divided between A and B such that A's share is 250% more than B's share. Find B's share.
(a) ₹42,000 (b) ₹45,000 (c) ₹38,000 (d) ₹40,000 - Find the average of the first 80 natural numbers.
(a) 40.5 (b) 40 (c) 41 (d) 39.5 - A marked price of ₹4,800 is discounted by 12.5%. Find the selling price.
(a) ₹4,200 (b) ₹4,150 (c) ₹4,250 (d) ₹4,100 - Find the missing number in the series: 14, 30, 62, 126, ?
(a) 254 (b) 250 (c) 258 (d) 248 - A invests ₹50,000 for 8 months and B invests ₹80,000 for 5 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum triples itself in 20 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 289 sq cm.
(a) 68 cm (b) 64 cm (c) 72 cm (d) 60 cm - A train 180 m long crosses a pole in 12 seconds. Find its speed in km/h.
(a) 54 km/h (b) 50 km/h (c) 60 km/h (d) 48 km/h - Find the value of x: x² − 9x + 20 = 0 (smaller root).
(a) 4 (b) 5 (c) 3 (d) 6 - A shopkeeper marks an article 50% above cost price and gives a discount of 20%. Find the overall profit percentage.
(a) 20% (b) 25% (c) 18% (d) 22% - Find the average of the first 35 odd natural numbers.
(a) 35 (b) 34 (c) 36 (d) 33 - A sum of ₹1,28,000 is divided between A and B such that A's share is 120% more than B's share. Find B's share.
(a) ₹40,000 (b) ₹45,000 (c) ₹35,000 (d) ₹42,000 - Two pipes can fill a tank in 20 and 30 minutes respectively. A third pipe can empty it in 40 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 120/7 minutes ≈ 17.1 minutes (b) 15 minutes (c) 20 minutes (d) 12 minutes - Find the next term: 7, 16, 34, 70, ?
(a) 142 (b) 140 (c) 144 (d) 138 - A's income is 40% more than B's income. By what percentage is B's income less than A's income?
(a) 28.57% (b) 30% (c) 25% (d) 32% - Find the compound interest on ₹40,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹4,100 (b) ₹4,000 (c) ₹4,200 (d) ₹3,900 - A works thrice as fast as B. If B alone completes a task in 36 days, in how many days can A and B together complete it?
(a) 9 days (b) 10 days (c) 8 days (d) 12 days - Find the value of: 20% of 350 + 30% of 200.
(a) 130 (b) 125 (c) 135 (d) 120 - A sum of ₹60,000 is lent at 9% per annum simple interest. Find the amount after 3 years.
(a) ₹76,200 (b) ₹75,000 (c) ₹77,000 (d) ₹74,000 - Find the next term: 4, 9, 20, 43, 90, ?
(a) 185 (b) 183 (c) 187 (d) 181
Answer Key with Explanations
1.(a) Placing N, then M two seats to N's right, O opposite N, and P immediately left of O fixes P three seats to the left of M when traced around the circle.
2.(a) The man's wife's mother's only son is the man himself (assuming no other son), so the man is the boy's father.
3.(a) Each term follows ×2+2: 4×2+2=10, 10×2+2=22, 22×2+2=46, 46×2+2=94.
4.(a) Each letter shifts forward by one position: T→U, A→B, B→C, L→M, E→F.
5.(a) With J fourth from the left and K immediately to J's right, K sits fifth from the left.
6.(a) Guitar, Violin, and Sitar are all string instruments, while a Drum is a percussion instrument, making it the odd one out.
7.(a) All tellers are staff, and all staff are trained, so all tellers are trained follows validly.
8.(a) The eastward and westward legs (9 km each) cancel out, leaving only the 12 km northward displacement.
9.(a) The natural order is: an application is submitted, shortlisting follows, then the interview, and finally the offer letter.
10.(a) Each letter shifts forward by one position: C→D, A→B, N→O, A→B, D→E, A→B.
11.(a) A≥B>C gives A>C (one strict link); C≥D then gives A>D.
12.(a) Statement I gives 5m=35, so m=7, a single definite value; Statement II alone only narrows m to whole numbers, not a unique value.
13.(a) Position from the right = 60−22+1 = 39th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 6×2+1=13, 13×2+2=28, 28×2+3=59, 59×2+4=122.
15.(a) X is Y's son, and Y and Z are siblings, so X and W (Z's child) are cousins.
16.(a) Each pair's first letter advances by four (B, F, J, N, R) and the second letter advances by four (C, G, K, O, S), giving RS.
17.(a) All ledgers are financial records, and no financial record is discarded without audit, so no ledger is discarded without audit follows validly.
18.(a) P is one position above Q, and Q is four positions above R, so P is 1+4=5 positions above R.
19.(a) VGUEQ shifted back two positions gives TESCO; applying the same rule, YQMG shifts to WOKE (Y→W, Q→O, M→K, G→E).
20.(a) Rank from the first = 40−9+1 = 32nd.
21.(a) With A and D opposite in a 6-seat circle (3 seats apart) and B immediately to A's right, B ends up two seats to the left of D.
22.(a) Some doctors are researchers, and all researchers are scholars, so some doctors are scholars follows validly.
23.(a) P is Q's father, R is Q's daughter (P's granddaughter), and S is R's husband, making P a grandfather-in-law to S.
24.(a) In each pair the second number is the cube of the first except (5,100), since 5³=125, not 100.
25.(a) "review" is common to "quarterly report review meeting" and "review for growth"; comparing with "meeting for staff" isolates "ta" as the code for "review".
26.(a) M≥N>O gives M>O (one strict link); O≥P then gives M>P.
27.(a) Midway between floor 1 and floor 11 is (1+11)/2 = 6.
28.(a) Metre, Kilometre, and Centimetre are all units of length, while a Kilogram is a unit of mass.
29.(a) Each letter shifts forward by two positions: L→N, E→G, M→O, O→Q, N→P.
30.(a) People to Divya's right = 45−19 = 26.
31.(a) The premises do not guarantee any checkpost is unmanned, and clearly not all barricaded places are checkposts, so neither conclusion follows.
32.(a) Q and R are P's children; R is S's wife and S is T's father, so R is T's mother, making P (R's father) T's grandfather.
33.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 3×2+1=7, 7×2+2=16, 16×2+3=35, 35×2+4=74.
34.(a) In a row of 11 with one person exactly in the middle (6th position), 5 people sit on each side.
35.(a) Statement I alone (divisible by 2) and Statement II alone (divisible by 5) are each insufficient, but together they guarantee divisibility by 10.
36.(a) Simple interest = (15,000×7×4)/100 = ₹4,200.
37.(a) Cost price = 864/1.08 = ₹800.
38.(a) Total of 22 numbers = 22×40 = 880; total of remaining 21 = 21×38 = 798; removed number = 880−798 = 82.
39.(a) The parts total 8+6 = 14; each part = 224/14 = 16; larger part = 8×16 = ₹128.
40.(a) The number = 189/0.63 = 300.
41.(a) Total distance = 210+150 = 360 km; total time = 3+2 = 5 hours; average speed = 360/5 = 72 km/h.
42.(a) Amount = 15,000×(1.10)² = 18,150; compound interest = ₹3,150.
43.(a) Combined rate = 1/10+1/15 = 3/30+2/30 = 5/30 = 1/6, so together they take 6 minutes.
44.(a) Upstream speed = 20−5 = 15 km/h; time = 90/15 = 6 hours.
45.(a) Each term is multiplied by 4: 3×4=12, 12×4=48, 48×4=192, 192×4=768.
46.(a) Profit = 560−400 = ₹160; profit percentage = (160/400)×100 = 40%.
47.(a) Let B's present age be x and A's be 2x; ten years ago, 2x−10 = 7(x−10), giving 2x−10 = 7x−70, so 5x=60, x=12.
48.(a) 13(x−9)=7x+15 gives 13x−117=7x+15, so 6x=132, x=22.
49.(a) Area = 28×18 = 504 sq cm.
50.(a) The parts total 4+7 = 11; each part = 165/11 = 15; larger number = 7×15 = 105.
51.(a) A's share is 3.5 times B's (250% more), giving a 7:2 ratio; each of the 9 parts = 1,89,000/9 = 21,000, so B's share = 2×21,000 = ₹42,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 80 is 81/2 = 40.5.
53.(a) Selling price = 4,800×0.875 = ₹4,200.
54.(a) Each term follows ×2+2: 14×2+2=30, 30×2+2=62, 62×2+2=126, 126×2+2=254.
55.(a) A:B ratio = (50,000×8):(80,000×5) = 4,00,000:4,00,000 = 1:1.
56.(a) A sum tripling means the interest earned equals twice the principal; rate = (2×100)/20 = 10% per annum.
57.(a) Side of the square = √289 = 17 cm; perimeter = 4×17 = 68 cm.
58.(a) Speed = 180 m / 12 s = 15 m/s = 15×18/5 = 54 km/h.
59.(a) x²−9x+20=0 factorises as (x−4)(x−5)=0, giving roots 4 and 5; the smaller root is 4.
60.(a) Marking 50% above cost price and giving a 20% discount gives selling price = CP×1.50×0.80 = 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 35 odd numbers is 35.
62.(a) A's share is 2.2 times B's (120% more), giving an 11:5 ratio; each of the 16 parts = 1,28,000/16 = 8,000, so B's share = 5×8,000 = ₹40,000.
63.(a) Combined rate = 1/20+1/30−1/40 = 6/120+4/120−3/120 = 7/120, so the tank fills in 120/7 ≈ 17.1 minutes.
64.(a) Each term follows ×2+2: 7×2+2=16, 16×2+2=34, 34×2+2=70, 70×2+2=142.
65.(a) If A = 1.4B, then B = A/1.4 ≈ 0.7143A, meaning B's income is about 28.57% less than A's.
66.(a) Amount = 40,000×(1.05)² = 44,100; compound interest = ₹4,100.
67.(a) B's rate = 1/36; A's rate (thrice as fast) = 3/36 = 1/12; combined rate = 1/36+3/36 = 4/36 = 1/9, so together they take 9 days.
68.(a) 20% of 350 = 70; 30% of 200 = 60; sum = 130.
69.(a) Simple interest = (60,000×9×3)/100 = 16,200; amount = 60,000+16,200 = ₹76,200.
70.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4, 5): 4×2+1=9, 9×2+2=20, 20×2+3=43, 43×2+4=90, 90×2+5=185.