Mock Test 16 — 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. A4 sits second to the right of B4. C4 sits opposite B4. D4 sits immediately to the left of C4. Where does D4 sit relative to A4?
(a) Third to the left (b) Second to the right (c) Opposite A4 (d) Immediately right - Pointing to a boy, a man said, "He is the son of my only sister's husband." How is the boy related to the man?
(a) Nephew (b) Son (c) Cousin (d) Brother - Find the next term: 10, 24, 52, 108, ?
(a) 220 (b) 216 (c) 224 (d) 212 - If in a code, SILVER is coded as TJMWFS, how is BRONZE coded using the same rule?
(a) CSPOAF (b) CSPOAG (c) CSPOZF (d) BSPOAF - Seven people sit in a row facing north. N6 is fifth from the left. O6 sits immediately to the right of N6. P6 sits at the right end. There is exactly zero people between O6 and P6.
(a) O6 is sixth from the left (b) O6 is seventh from the left (c) O6 is fifth from the left (d) O6 is fourth from the left - Choose the odd one out.
(a) Saturn (b) Jupiter (c) Neptune (d) Moon - Premises: "All curators are archivists. All archivists are meticulous." Which conclusion follows?
(a) All curators are meticulous (b) All meticulous people are curators (c) No curators are meticulous (d) Some archivists are not curators - A walks 28 km north, turns right and walks 18 km, then turns right again and walks 28 km. How far is he from the start?
(a) 18 km (b) 28 km (c) 46 km (d) 56 km - Arrange in a logical sequence: 1. Vaccination 2. Diagnosis 3. Registration 4. Consultation
(a) 3-4-2-1 (b) 1-2-3-4 (c) 3-2-4-1 (d) 4-3-2-1 - If in a code, SILVER is written as TJMWFS, how is DIAMOND written?
(a) EJBNPOE (b) EJBNPOD (c) EJBNPOF (d) DJBNPOE - Given: X ≥ Y > Z and Z > W. Which relationship necessarily holds between X and W?
(a) X > W (b) X < W (c) X = W (d) Cannot be determined - Data Sufficiency: "What is the value of j?" Statement I: 23j − 46 = 230. Statement II: j is odd. 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 140 people, Ira is 62nd from the left. What is her position from the right?
(a) 79th (b) 78th (c) 80th (d) 77th - Find the missing number: 18, 37, 76, 155, ?
(a) 314 (b) 312 (c) 316 (d) 310 - A is the daughter of B. C is the son of B. D is the wife of C. E is the son of D and C. How is A related to E?
(a) Aunt (b) Mother (c) Sister (d) Cousin - Complete the series: NT, RX, VB, ZF, ?
(a) DJ (b) DI (c) CJ (d) EI - Statement: All garrisons are military posts. No military post is unsupervised. Conclusion: No garrison is unsupervised.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 20 boxes (box 1 at the bottom), box E4 is directly above box F4, and F4 is sixteen positions above box G4. How many positions separate E4 and G4?
(a) 17 (b) 16 (c) 18 (d) 15 - If each letter is shifted forward by fifteen positions, CAT becomes RPI. Using the same rule, DOG becomes:
(a) SDV (b) SDU (c) RDV (d) SEV - A runner finishes 47th from the last in a race of 105 runners. Find the rank from the first.
(a) 59th (b) 58th (c) 60th (d) 57th - Six people sit around a circular table facing the centre. W1 sits opposite X1. Y1 sits immediately to the right of W1. Where does Y1 sit relative to X1?
(a) Second to the left of X1 (b) Second to the right of X1 (c) Opposite X1 (d) Immediately left of X1 - Premises: "Some officers are commanders. All commanders are decorated." Which conclusion follows?
(a) Some officers are decorated (b) All officers are decorated (c) No officers are decorated (d) All decorated people are officers - P is the father of Q. R is the son of Q. S is the wife of R. How is P related to S?
(a) Grandfather-in-law (b) Father (c) Uncle (d) Grandfather - Find the odd pair: (34,102), (35,105), (36,109), (37,111)
(a) (36,109) (b) (34,102) (c) (35,105) (d) (37,111) - In a code language, "quarterly loan default analysis" is coded as "fi mo ja lo", "loan for customers" is coded as "mo ni ta", and "default for prevention" is coded as "ja ni ra". What is the code for "default"?
(a) ja (b) fi (c) mo (d) lo - 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 35 floors (ground=1, top=35), a person exactly midway between floor 25 and floor 35 lives on floor:
(a) 30 (b) 29 (c) 31 (d) 30.5 - Choose the odd one out.
(a) Ant (b) Bee (c) Spider (d) Termite - If in a code, SILVER is coded as UKNXGT (shift forward by 2), how is BRONZE coded?
(a) DTQPBG (b) DTQPBF (c) DTPPBG (d) CTQPBG - In a line of 110 people, Advika is 51st from the left. How many people are to her right?
(a) 59 (b) 58 (c) 60 (d) 57 - Statement: All garrisons are military posts. Some military posts are coastal. Conclusion I: Some garrisons are coastal. Conclusion II: All military posts are garrisons. Which follows?
(a) Neither I nor II follows (b) Only I follows (c) Only II follows (d) Both follow - P is the mother 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) Grandmother (b) Mother (c) Aunt (d) Sister - Find the next term: 8, 32, 128, 512, ?
(a) 2,048 (b) 2,000 (c) 2,100 (d) 1,950 - In a row of 35 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 17 (b) 18 (c) 16 (d) 17.5 - Data Sufficiency: "Is l divisible by 16?" Statement I: l is divisible by 48. Statement II: l is divisible by 4. 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
Section B: Quantitative Aptitude (Q36–70)
- Find the simple interest on ₹55,000 at 12% per annum for 3 years.
(a) ₹19,800 (b) ₹19,500 (c) ₹20,000 (d) ₹19,200 - A shopkeeper sells an article for ₹1,344 at a profit of 12%. Find the cost price.
(a) ₹1,200 (b) ₹1,190 (c) ₹1,210 (d) ₹1,180 - The average of 38 numbers is 50. If one number is removed, the average becomes 48 for the remaining 37. Find the removed number.
(a) 124 (b) 120 (c) 128 (d) 116 - A sum of ₹630 is divided in the ratio 11:10. Find the larger part.
(a) ₹330 (b) ₹320 (c) ₹340 (d) ₹310 - 44% of a number is 1,100. Find the number.
(a) 2,500 (b) 2,450 (c) 2,550 (d) 2,400 - A car travels 450 km in 6 hours and then 320 km in 4 hours. Find the average speed for the whole journey.
(a) 77 km/h (b) 75 km/h (c) 79 km/h (d) 73 km/h - Find the compound interest on ₹55,000 for 2 years at 10% per annum, compounded annually.
(a) ₹11,550 (b) ₹11,200 (c) ₹11,800 (d) ₹11,000 - Pipe A can fill a tank in 20 minutes and pipe B in 30 minutes. If both are opened together, how long will they take to fill the tank?
(a) 12 minutes (b) 13 minutes (c) 11 minutes (d) 14 minutes - A boat's speed in still water is 36 km/h and the stream flows at 9 km/h. Find the time to cover 180 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 8, 32, 128, 512, ?
(a) 2,048 (b) 2,000 (c) 2,100 (d) 1,950 - An article with cost price ₹720 is sold for ₹1,080. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is five times as old as B. Five years ago, A was nine times as old as B. Find B's present age.
(a) 10 years (b) 8 years (c) 12 years (d) 14 years - Solve for x: 13(x − 20) = 7x + 28.
(a) 48 (b) 47 (c) 49 (d) 46 - Find the area of a rectangle with length 80 cm and breadth 52 cm.
(a) 4,160 sq cm (b) 4,120 sq cm (c) 4,200 sq cm (d) 4,080 sq cm - Two numbers are in the ratio 20:31. If their sum is 510, find the larger number.
(a) 310 (b) 305 (c) 315 (d) 300 - A sum of ₹1,24,000 is divided between A and B such that A's share is 110% more than B's share. Find B's share.
(a) ₹40,000 (b) ₹42,000 (c) ₹38,000 (d) ₹44,000 - Find the average of the first 800 natural numbers.
(a) 400.5 (b) 400 (c) 401 (d) 399.5 - A marked price of ₹24,000 is discounted by 15%. Find the selling price.
(a) ₹20,400 (b) ₹20,000 (c) ₹20,500 (d) ₹19,900 - Find the missing number in the series: 38, 78, 158, 318, ?
(a) 638 (b) 634 (c) 642 (d) 630 - A invests ₹2,40,000 for 5 months and B invests ₹1,00,000 for 12 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes twenty times itself in 152 years at simple interest. Find the rate of interest per annum.
(a) 12.5% (b) 10% (c) 15% (d) 8% - Find the perimeter of a square with area 1,296 sq cm.
(a) 144 cm (b) 140 cm (c) 148 cm (d) 136 cm - A train 540 m long crosses a pole in 27 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 − 33x + 272 = 0 (smaller root).
(a) 16 (b) 17 (c) 15 (d) 18 - A shopkeeper marks an article 90% above cost price and gives a discount of 50%. Find the overall profit percentage.
(a) −5% (b) 5% (c) 0% (d) 10% - Find the average of the first 155 odd natural numbers.
(a) 155 (b) 154 (c) 156 (d) 153 - A sum of ₹1,04,000 is divided between A and B such that A's share is 320% more than B's share. Find B's share.
(a) ₹20,000 (b) ₹24,000 (c) ₹22,000 (d) ₹25,000 - Two pipes can fill a tank in 21 and 28 minutes respectively. A third pipe can empty it in 42 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 84/5 minutes = 16.8 minutes (b) 15 minutes (c) 18 minutes (d) 14 minutes - Find the next term: 21, 44, 90, 182, ?
(a) 366 (b) 362 (c) 370 (d) 358 - A's income is 600% more than B's income. By what percentage is B's income less than A's income?
(a) 85.7% (b) 80% (c) 90% (d) 75% - Find the compound interest on ₹3,50,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹35,875 (b) ₹35,000 (c) ₹36,750 (d) ₹34,200 - A works fifteen times as fast as B. If B alone completes a task in 128 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: 80% of 110 + 55% of 140.
(a) 165 (b) 160 (c) 170 (d) 155 - A sum of ₹4,50,000 is lent at 4% per annum simple interest. Find the amount after 5 years.
(a) ₹5,40,000 (b) ₹5,35,000 (c) ₹5,45,000 (d) ₹5,30,000 - Find the next term: 10, 24, 52, 108, 220, ?
(a) 444 (b) 440 (c) 448 (d) 436
Answer Key with Explanations
1.(a) Placing B4, then A4 two seats to B4's right, C4 opposite B4, and D4 immediately left of C4 fixes D4 three seats to the left of A4 when traced around the circle.
2.(a) The man's only sister's husband is the boy's father, making the boy the man's nephew.
3.(a) Each term follows ×2+4: 10×2+4=24, 24×2+4=52, 52×2+4=108, 108×2+4=220.
4.(a) Each letter shifts forward by one position: B→C, R→S, O→P, N→O, Z→A (wrapping), E→F.
5.(a) With N6 fifth from the left and O6 immediately to N6's right, O6 sits sixth from the left.
6.(a) Saturn, Jupiter, and Neptune are planets, while the Moon is a natural satellite.
7.(a) All curators are archivists, and all archivists are meticulous, so all curators are meticulous follows validly.
8.(a) The northward and southward legs (28 km each) cancel out, leaving only the 18 km eastward displacement.
9.(a) The natural sequence is: registration, consultation, diagnosis, and vaccination.
10.(a) Each letter shifts forward by one position: D→E, I→J, A→B, M→N, O→P, N→O, D→E.
11.(a) X≥Y>Z gives X>Z (one strict link); Z>W then gives X>W.
12.(a) Statement I gives 23j=276, so j=12, a single definite value; Statement II alone only narrows j to odd numbers, not a unique value.
13.(a) Position from the right = 140−62+1 = 79th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 18×2+1=37, 37×2+2=76, 76×2+3=155, 155×2+4=314.
15.(a) A and C are B's children (siblings); D is C's wife and E is D and C's son, making A E's aunt.
16.(a) Each pair's first letter advances by four (N, R, V, Z, D, wrapping past Z) and the second letter advances by four (T, X, B, F, J, wrapping past Z), giving DJ.
17.(a) All garrisons are military posts, and no military post is unsupervised, so no garrison is unsupervised follows validly.
18.(a) E4 is one position above F4, and F4 is sixteen positions above G4, so E4 is 1+16=17 positions above G4.
19.(a) Each letter shifts forward by fifteen positions: D→S, O→D, G→V.
20.(a) Rank from the first = 105−47+1 = 59th.
21.(a) With W1 and X1 opposite in a 6-seat circle (3 seats apart) and Y1 immediately to W1's right, Y1 ends up two seats to the left of X1.
22.(a) Some officers are commanders, and all commanders are decorated, so some officers are decorated follows validly.
23.(a) P is Q's father, R is Q's son (P's grandson), and S is R's wife, making P a grandfather-in-law to S.
24.(a) In each pair the second number is three times the first except (36,109), since 36×3=108, not 109.
25.(a) "default" is common to "quarterly loan default analysis" and "default for prevention"; comparing with "loan for customers" isolates "ja" as the code for "default".
26.(a) P>Q≥R gives P>R (one strict link); R≥S then gives P>S.
27.(a) Midway between floor 25 and floor 35 is (25+35)/2 = 30.
28.(a) Ant, Bee, and Termite are insects, while a Spider is an arachnid.
29.(a) Each letter shifts forward by two positions: B→D, R→T, O→Q, N→P, Z→B (wrapping), E→G.
30.(a) People to Advika's right = 110−51 = 59.
31.(a) The premises do not guarantee any garrison is coastal, and clearly not all military posts are garrisons, 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 mother) T's grandmother.
33.(a) Each term is multiplied by 4: 8×4=32, 32×4=128, 128×4=512, 512×4=2,048.
34.(a) In a row of 35 with one person exactly in the middle (18th position), 17 people sit on each side.
35.(a) Statement I alone (divisible by 48) guarantees divisibility by 16, since 48 is itself a multiple of 16; Statement II alone (divisible by 4) does not guarantee divisibility by 16.
36.(a) Simple interest = (55,000×12×3)/100 = ₹19,800.
37.(a) Cost price = 1,344/1.12 = ₹1,200.
38.(a) Total of 38 numbers = 38×50 = 1,900; total of remaining 37 = 37×48 = 1,776; removed number = 1,900−1,776 = 124.
39.(a) The parts total 11+10 = 21; each part = 630/21 = 30; larger part = 11×30 = ₹330.
40.(a) The number = 1,100/0.44 = 2,500.
41.(a) Total distance = 450+320 = 770 km; total time = 6+4 = 10 hours; average speed = 770/10 = 77 km/h.
42.(a) Amount = 55,000×(1.10)² = 66,550; compound interest = ₹11,550.
43.(a) Combined rate = 1/20+1/30 = 3/60+2/60 = 5/60 = 1/12, so together they take 12 minutes.
44.(a) Downstream speed = 36+9 = 45 km/h; time = 180/45 = 4 hours.
45.(a) Each term is multiplied by 4: 8×4=32, 32×4=128, 128×4=512, 512×4=2,048.
46.(a) Profit = 1,080−720 = ₹360; profit percentage = (360/720)×100 = 50%.
47.(a) Let B's present age be x and A's be 5x; five years ago, 5x−5 = 9(x−5), giving 5x−5 = 9x−45, so 4x=40, x=10.
48.(a) 13(x−20)=7x+28 gives 13x−260=7x+28, so 6x=288, x=48.
49.(a) Area = 80×52 = 4,160 sq cm.
50.(a) The parts total 20+31 = 51; each part = 510/51 = 10; larger number = 31×10 = 310.
51.(a) A's share is 2.1 times B's (110% more), giving a 21:10 ratio; each of the 31 parts = 1,24,000/31 = 4,000, so B's share = 10×4,000 = ₹40,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 800 is 801/2 = 400.5.
53.(a) Selling price = 24,000×0.85 = ₹20,400.
54.(a) Each term follows ×2+2: 38×2+2=78, 78×2+2=158, 158×2+2=318, 318×2+2=638.
55.(a) A:B ratio = (2,40,000×5):(1,00,000×12) = 12,00,000:12,00,000 = 1:1.
56.(a) A sum becoming twenty times itself means the interest earned equals nineteen times the principal; rate = (19×100)/152 = 12.5% per annum.
57.(a) Side of the square = √1,296 = 36 cm; perimeter = 4×36 = 144 cm.
58.(a) Speed = 540 m / 27 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−33x+272=0 factorises as (x−16)(x−17)=0, giving roots 16 and 17; the smaller root is 16.
60.(a) Marking 90% above cost price and giving a 50% discount gives selling price = CP×1.90×0.50 = 0.95×CP, a net loss of 5%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 155 odd numbers is 155.
62.(a) A's share is 4.2 times B's (320% more), giving a 21:5 ratio; each of the 26 parts = 1,04,000/26 = 4,000, so B's share = 5×4,000 = ₹20,000.