Mock Test 15 — 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. V2 sits third to the left of W2. X2 sits opposite W2. Y2 sits immediately to the right of X2. Where does Y2 sit relative to V2?
(a) Fourth to the left (b) Second to the right (c) Opposite V2 (d) Immediately right - Pointing to a girl, a man said, "She is the only daughter of my father's only son." How is the girl related to the man?
(a) Daughter (b) Sister (c) Niece (d) Cousin - Find the next term: 8, 20, 44, 92, ?
(a) 188 (b) 184 (c) 192 (d) 180 - If in a code, TRAIN is coded as USBJO, how is BRIDGE coded using the same rule?
(a) CSJEHF (b) CSJEHG (c) CSIEHF (d) BSJEHF - Seven people sit in a row facing north. K5 is fourth from the left. L5 sits immediately to the right of K5. M5 sits at the right end. There is exactly one person between L5 and M5.
(a) L5 is fifth from the left (b) L5 is sixth from the left (c) L5 is fourth from the left (d) L5 is seventh from the left - Choose the odd one out.
(a) Piano (b) Harmonium (c) Flute (d) Organ - Premises: "All pilots are aviators. All aviators are trained professionals." Which conclusion follows?
(a) All pilots are trained professionals (b) All trained professionals are pilots (c) No pilots are trained professionals (d) Some aviators are not pilots - A walks 25 km east, turns left and walks 15 km, then turns left again and walks 25 km. How far is he from the start?
(a) 15 km (b) 25 km (c) 40 km (d) 50 km - Arrange in a logical sequence: 1. Verdict delivery 2. Witness testimony 3. Case filing 4. Cross-examination
(a) 3-2-4-1 (b) 1-2-3-4 (c) 3-4-2-1 (d) 2-3-4-1 - If in a code, TRAIN is written as USBJO, how is FRIEND written?
(a) GSJFOE (b) GSJFOD (c) GSIFOE (d) FSJFOE - Given: A > B ≥ C and C ≥ D. Which relationship necessarily holds between A and D?
(a) A > D (b) A < D (c) A = D (d) Cannot be determined - Data Sufficiency: "What is the value of h?" Statement I: 21h − 42 = 210. Statement II: h is a multiple of 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 - In a row of 130 people, Ansh is 57th from the left. What is his position from the right?
(a) 74th (b) 73rd (c) 75th (d) 72nd - Find the missing number: 17, 35, 72, 147, ?
(a) 298 (b) 296 (c) 300 (d) 294 - A is the son of B. C is the sister 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: MS, QW, UA, YE, ?
(a) CI (b) CH (c) DI (d) BI - Statement: All redoubts are defensive positions. No defensive position is left unmanned. Conclusion: No redoubt is left unmanned.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 19 boxes (box 1 at the bottom), box B3 is directly above box C3, and C3 is fifteen positions above box D3. How many positions separate B3 and D3?
(a) 16 (b) 15 (c) 17 (d) 14 - If each letter is shifted forward by fourteen positions, CAT becomes QOH. Using the same rule, DOG becomes:
(a) RCU (b) RCT (c) QCU (d) RDU - A runner finishes 42nd from the last in a race of 95 runners. Find the rank from the first.
(a) 54th (b) 53rd (c) 55th (d) 52nd - Six people sit around a circular table facing the centre. T1 sits opposite U1. V1 sits immediately to the right of T1. Where does V1 sit relative to U1?
(a) Second to the left of U1 (b) Second to the right of U1 (c) Opposite U1 (d) Immediately left of U1 - Premises: "Some technicians are specialists. All specialists are trained." Which conclusion follows?
(a) Some technicians are trained (b) All technicians are trained (c) No technicians are trained (d) All trained people are technicians - 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: (30,90), (31,93), (32,97), (33,99)
(a) (32,97) (b) (30,90) (c) (31,93) (d) (33,99) - In a code language, "monthly cash flow statement" is coded as "wa xi ne ru", "cash for operations" is coded as "xi ni ta", and "flow for growth" is coded as "ne ni ra". What is the code for "flow"?
(a) ne (b) wa (c) xi (d) ru - 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 33 floors (ground=1, top=33), a person exactly midway between floor 23 and floor 33 lives on floor:
(a) 28 (b) 27 (c) 29 (d) 28.5 - Choose the odd one out.
(a) Gold (b) Wood (c) Cotton (d) Paper - If in a code, TRAIN is coded as VTCKP (shift forward by 2), how is BRIDGE coded?
(a) DTKFIG (b) DTKFIF (c) DTJFIG (d) CTKFIG - In a line of 100 people, Reyansh is 46th from the left. How many people are to his right?
(a) 54 (b) 53 (c) 55 (d) 52 - Statement: All redoubts are defensive positions. Some defensive positions are elevated. Conclusion I: Some redoubts are elevated. Conclusion II: All defensive positions are redoubts. 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: 7, 21, 63, 189, ?
(a) 567 (b) 560 (c) 570 (d) 553 - In a row of 33 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 16 (b) 17 (c) 15 (d) 16.5 - Data Sufficiency: "Is k divisible by 24?" Statement I: k is divisible by 72. Statement II: k is divisible by 8. 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 ₹50,000 at 11% per annum for 3 years.
(a) ₹16,500 (b) ₹16,000 (c) ₹17,000 (d) ₹15,500 - A shopkeeper sells an article for ₹1,296 at a profit of 8%. Find the cost price.
(a) ₹1,200 (b) ₹1,190 (c) ₹1,210 (d) ₹1,180 - The average of 35 numbers is 48. If one number is removed, the average becomes 46 for the remaining 34. Find the removed number.
(a) 116 (b) 112 (c) 120 (d) 108 - A sum of ₹760 is divided in the ratio 10:9. Find the larger part.
(a) ₹400 (b) ₹390 (c) ₹410 (d) ₹380 - 42% of a number is 1,050. Find the number.
(a) 2,500 (b) 2,450 (c) 2,550 (d) 2,400 - A car travels 420 km in 6 hours and then 300 km in 4 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 ₹50,000 for 2 years at 10% per annum, compounded annually.
(a) ₹10,500 (b) ₹10,200 (c) ₹10,800 (d) ₹10,000 - Pipe A can fill a tank in 15 minutes and pipe B in 45 minutes. If both are opened together, how long will they take to fill the tank?
(a) 11.25 minutes (b) 12 minutes (c) 10 minutes (d) 13 minutes - A boat's speed in still water is 33 km/h and the stream flows at 7 km/h. Find the time to cover 160 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 7, 21, 63, 189, ?
(a) 567 (b) 560 (c) 570 (d) 553 - An article with cost price ₹650 is sold for ₹975. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is four times as old as B. Fifteen years ago, A was nineteen times as old as B. Find B's present age.
(a) 18 years (b) 16 years (c) 20 years (d) 15 years - Solve for x: 15(x − 18) = 8x + 38.
(a) 44 (b) 43 (c) 45 (d) 42 - Find the area of a rectangle with length 75 cm and breadth 48 cm.
(a) 3,600 sq cm (b) 3,550 sq cm (c) 3,650 sq cm (d) 3,500 sq cm - Two numbers are in the ratio 18:29. If their sum is 470, find the larger number.
(a) 290 (b) 285 (c) 295 (d) 280 - A sum of ₹1,12,000 is divided between A and B such that A's share is 120% more than B's share. Find B's share.
(a) ₹35,000 (b) ₹37,000 (c) ₹33,000 (d) ₹39,000 - Find the average of the first 700 natural numbers.
(a) 350.5 (b) 350 (c) 351 (d) 349.5 - A marked price of ₹21,600 is discounted by 15%. Find the selling price.
(a) ₹18,360 (b) ₹18,000 (c) ₹18,500 (d) ₹17,900 - Find the missing number in the series: 36, 74, 150, 302, ?
(a) 606 (b) 602 (c) 610 (d) 598 - A invests ₹2,20,000 for 6 months and B invests ₹1,32,000 for 10 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes eighteen times itself in 136 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 1,156 sq cm.
(a) 136 cm (b) 132 cm (c) 140 cm (d) 128 cm - A train 500 m long crosses a pole in 25 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 − 31x + 240 = 0 (smaller root).
(a) 15 (b) 16 (c) 14 (d) 17 - A shopkeeper marks an article 80% above cost price and gives a discount of 45%. Find the overall profit percentage.
(a) −1% (b) 5% (c) 8% (d) 0% - Find the average of the first 145 odd natural numbers.
(a) 145 (b) 144 (c) 146 (d) 143 - A sum of ₹1,35,000 is divided between A and B such that A's share is 340% more than B's share. Find B's share.
(a) ₹25,000 (b) ₹27,000 (c) ₹23,000 (d) ₹29,000 - Two pipes can fill a tank in 18 and 27 minutes respectively. A third pipe can empty it in 54 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 13.5 minutes (b) 12 minutes (c) 14 minutes (d) 11 minutes - Find the next term: 19, 40, 82, 166, ?
(a) 334 (b) 330 (c) 338 (d) 326 - A's income is 525% more than B's income. By what percentage is B's income less than A's income?
(a) 84% (b) 80% (c) 88% (d) 76% - Find the compound interest on ₹3,00,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹30,750 (b) ₹30,000 (c) ₹31,500 (d) ₹29,300 - A works fourteen times as fast as B. If B alone completes a task in 120 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: 75% of 120 + 50% of 150.
(a) 165 (b) 160 (c) 170 (d) 155 - A sum of ₹4,00,000 is lent at 5% per annum simple interest. Find the amount after 3 years.
(a) ₹4,60,000 (b) ₹4,55,000 (c) ₹4,65,000 (d) ₹4,50,000 - Find the next term: 8, 20, 44, 92, 188, ?
(a) 380 (b) 376 (c) 384 (d) 372
Answer Key with Explanations
1.(a) Placing W2, then V2 three seats to W2's left, X2 opposite W2, and Y2 immediately right of X2 fixes Y2 four seats to the left of V2 when traced around the circle.
2.(a) The man's father's only son is the man himself, so his only daughter is his own daughter.
3.(a) Each term follows ×2+4: 8×2+4=20, 20×2+4=44, 44×2+4=92, 92×2+4=188.
4.(a) Each letter shifts forward by one position: B→C, R→S, I→J, D→E, G→H, E→F.
5.(a) With K5 fourth from the left and L5 immediately to K5's right, L5 sits fifth from the left.
6.(a) Piano, Harmonium, and Organ are keyboard instruments, while Flute is a wind instrument.
7.(a) All pilots are aviators, and all aviators are trained professionals, so all pilots are trained professionals follows validly.
8.(a) The eastward and westward legs (25 km each) cancel out, leaving only the 15 km southward displacement.
9.(a) The natural sequence is: case filing, witness testimony, cross-examination, and verdict delivery.
10.(a) Each letter shifts forward by one position: F→G, R→S, I→J, E→F, N→O, D→E.
11.(a) A>B≥C gives A>C (one strict link); C≥D then gives A>D.
12.(a) Statement I gives 21h=252, so h=12, a single definite value; Statement II alone only narrows h to multiples of 4, not a unique value.
13.(a) Position from the right = 130−57+1 = 74th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 17×2+1=35, 35×2+2=72, 72×2+3=147, 147×2+4=298.
15.(a) A and C are B's children (siblings); D is C's son (B's grandchild), so B is D's grandfather or grandmother.
16.(a) Each pair's first letter advances by four (M, Q, U, Y, C, wrapping past Z) and the second letter advances by four (S, W, A, E, I, wrapping past Z), giving CI.
17.(a) All redoubts are defensive positions, and no defensive position is left unmanned, so no redoubt is left unmanned follows validly.
18.(a) B3 is one position above C3, and C3 is fifteen positions above D3, so B3 is 1+15=16 positions above D3.
19.(a) Each letter shifts forward by fourteen positions: D→R, O→C, G→U.
20.(a) Rank from the first = 95−42+1 = 54th.
21.(a) With T1 and U1 opposite in a 6-seat circle (3 seats apart) and V1 immediately to T1's right, V1 ends up two seats to the left of U1.
22.(a) Some technicians are specialists, and all specialists are trained, so some technicians are trained 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 (32,97), since 32×3=96, not 97.
25.(a) "flow" is common to "monthly cash flow statement" and "flow for growth"; comparing with "cash for operations" isolates "ne" as the code for "flow".
26.(a) M≥N>O gives M>O (one strict link); O>P then gives M>P.
27.(a) Midway between floor 23 and floor 33 is (23+33)/2 = 28.
28.(a) Gold is a metal, while Wood, Cotton, and Paper are all derived from plant fibre.
29.(a) Each letter shifts forward by two positions: B→D, R→T, I→K, D→F, G→I, E→G.
30.(a) People to Reyansh's right = 100−46 = 54.
31.(a) The premises do not guarantee any redoubt is elevated, and clearly not all defensive positions are redoubts, 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 3: 7×3=21, 21×3=63, 63×3=189, 189×3=567.
34.(a) In a row of 33 with one person exactly in the middle (17th position), 16 people sit on each side.
35.(a) Statement I alone (divisible by 72) guarantees divisibility by 24, since 72 is itself a multiple of 24; Statement II alone (divisible by 8) does not guarantee divisibility by 24.
36.(a) Simple interest = (50,000×11×3)/100 = ₹16,500.
37.(a) Cost price = 1,296/1.08 = ₹1,200.
38.(a) Total of 35 numbers = 35×48 = 1,680; total of remaining 34 = 34×46 = 1,564; removed number = 1,680−1,564 = 116.
39.(a) The parts total 10+9 = 19; each part = 760/19 = 40; larger part = 10×40 = ₹400.
40.(a) The number = 1,050/0.42 = 2,500.
41.(a) Total distance = 420+300 = 720 km; total time = 6+4 = 10 hours; average speed = 720/10 = 72 km/h.
42.(a) Amount = 50,000×(1.10)² = 60,500; compound interest = ₹10,500.
43.(a) Combined rate = 1/15+1/45 = 3/45+1/45 = 4/45, so together they take 45/4 = 11.25 minutes.
44.(a) Downstream speed = 33+7 = 40 km/h; time = 160/40 = 4 hours.
45.(a) Each term is multiplied by 3: 7×3=21, 21×3=63, 63×3=189, 189×3=567.
46.(a) Profit = 975−650 = ₹325; profit percentage = (325/650)×100 = 50%.
47.(a) Let B's present age be x and A's be 4x; fifteen years ago, 4x−15 = 19(x−15), giving 4x−15 = 19x−285, so 15x=270, x=18.
48.(a) 15(x−18)=8x+38 gives 15x−270=8x+38, so 7x=308, x=44.
49.(a) Area = 75×48 = 3,600 sq cm.
50.(a) The parts total 18+29 = 47; each part = 470/47 = 10; larger number = 29×10 = 290.
51.(a) A's share is 2.2 times B's (120% more), giving an 11:5 ratio; each of the 16 parts = 1,12,000/16 = 7,000, so B's share = 5×7,000 = ₹35,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 700 is 701/2 = 350.5.
53.(a) Selling price = 21,600×0.85 = ₹18,360.
54.(a) Each term follows ×2+2: 36×2+2=74, 74×2+2=150, 150×2+2=302, 302×2+2=606.
55.(a) A:B ratio = (2,20,000×6):(1,32,000×10) = 13,20,000:13,20,000 = 1:1.
56.(a) A sum becoming eighteen times itself means the interest earned equals seventeen times the principal; rate = (17×100)/136 = 12.5% per annum.
57.(a) Side of the square = √1,156 = 34 cm; perimeter = 4×34 = 136 cm.
58.(a) Speed = 500 m / 25 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−31x+240=0 factorises as (x−15)(x−16)=0, giving roots 15 and 16; the smaller root is 15.
60.(a) Marking 80% above cost price and giving a 45% discount gives selling price = CP×1.80×0.55 = 0.99×CP, a net loss of 1%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 145 odd numbers is 145.
62.(a) A's share is 4.4 times B's (340% more), giving a 22:5 ratio; each of the 27 parts = 1,35,000/27 = 5,000, so B's share = 5×5,000 = ₹25,000.
63.(a) Combined rate = 1/18+1/27−1/54 = 3/54+2/54−1/54 = 4/54 = 2/27, so the tank fills in 27/2 = 13.5 minutes.
64.(a) Each term follows ×2+2: 19×2+2=40, 40×2+2=82, 82×2+2=166, 166×2+2=334.
65.(a) If A = 6.25B, then B = A/6.25 = 0.16A, meaning B's income is 84% less than A's.
66.(a) Amount = 3,00,000×(1.05)² = 3,30,750; compound interest = ₹30,750.
67.(a) B's rate = 1/120; A's rate (fourteen times as fast) = 14/120; combined rate = 1/120+14/120 = 15/120 = 1/8, so together they take 8 days.
68.(a) 75% of 120 = 90; 50% of 150 = 75; sum = 165.
69.(a) Simple interest = (4,00,000×5×3)/100 = 60,000; amount = 4,00,000+60,000 = ₹4,60,000.
70.(a) Each term follows ×2+4: 8×2+4=20, 20×2+4=44, 44×2+4=92, 92×2+4=188, 188×2+4=380.