Mock Test 11 — 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. B1 sits fourth to the left of C1. D1 sits opposite C1. E1 sits immediately to the right of D1. Where does E1 sit relative to B1?
(a) Third to the right (b) Second to the left (c) Opposite B1 (d) Immediately left - Pointing to a girl, a man said, "She is the daughter of the only brother of my wife." How is the girl related to the man?
(a) Niece (b) Daughter (c) Cousin (d) Sister - Find the next term: 11, 26, 56, 116, ?
(a) 236 (b) 232 (c) 240 (d) 228 - If in a code, FOREST is coded as GPSFTU, how is JUNGLE coded using the same rule?
(a) KVOHMF (b) KVOHMG (c) KVOHLF (d) JVOHMF - Seven people sit in a row facing north. T is fifth from the left. U sits immediately to the right of T. V sits at the right end. There is exactly zero people between U and V.
(a) U is sixth from the left (b) U is seventh from the left (c) U is fifth from the left (d) U is fourth from the left - Choose the odd one out.
(a) Wheat (b) Rice (c) Maize (d) Cotton - Premises: "All architects are designers. All designers are creative." Which conclusion follows?
(a) All architects are creative (b) All creative people are architects (c) No architects are creative (d) Some designers are not architects - A walks 16 km east, turns right and walks 12 km, then turns right again and walks 16 km. How far is he from the start?
(a) 12 km (b) 16 km (c) 28 km (d) 32 km - Arrange in a logical sequence: 1. Sowing 2. Harvesting 3. Ploughing 4. Irrigation
(a) 3-1-4-2 (b) 1-2-3-4 (c) 3-4-1-2 (d) 3-1-2-4 - If in a code, KOLKATA is written as LPMLBUB, how is HYDERABAD written?
(a) IZEFSBCBE (b) IZEFSBCBF (c) IZEFSACBE (d) HZEFSBCBE - 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 - Data Sufficiency: "What is the value of y?" Statement I: 13y − 26 = 91. Statement II: y is a whole number less than 15. 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 95 people, Rohan is 42nd from the left. What is his position from the right?
(a) 54th (b) 53rd (c) 55th (d) 52nd - Find the missing number: 13, 27, 56, 115, ?
(a) 234 (b) 232 (c) 236 (d) 230 - A is the son of B. C is the daughter of B. D is the husband of C. How is A related to D's children (assuming D and C have a son E)?
(a) Uncle (b) Father (c) Brother (d) Cousin - Complete the series: IN, MR, QV, UZ, ?
(a) YD (b) YC (c) ZD (d) XD - Statement: All vaults are secured chambers. No secured chamber is accessible without authorisation. Conclusion: No vault is accessible without authorisation.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 15 boxes (box 1 at the bottom), box P is directly above box Q, and Q is eleven positions above box R. How many positions separate P and R?
(a) 12 (b) 11 (c) 13 (d) 10 - If each letter is shifted forward by ten positions, CAT becomes MKD. Using the same rule, DOG becomes:
(a) NYQ (b) NYP (c) MYQ (d) NZQ - A runner finishes 30th from the last in a race of 75 runners. Find the rank from the first.
(a) 46th (b) 45th (c) 47th (d) 44th - Six people sit around a circular table facing the centre. F1 sits opposite G1. H1 sits immediately to the right of F1. Where does H1 sit relative to G1?
(a) Second to the left of G1 (b) Second to the right of G1 (c) Opposite G1 (d) Immediately left of G1 - Premises: "Some analysts are strategists. All strategists are planners." Which conclusion follows?
(a) Some analysts are planners (b) All analysts are planners (c) No analysts are planners (d) All planners are analysts - 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: (14,42), (15,45), (16,49), (17,51)
(a) (16,49) (b) (14,42) (c) (15,45) (d) (17,51) - In a code language, "monthly expense tracking report" is coded as "vu re ka lo", "expense for households" is coded as "re ni ta", and "tracking for growth" is coded as "ka ni ra". What is the code for "tracking"?
(a) ka (b) vu (c) re (d) lo - 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 - In a floor puzzle of 25 floors (ground=1, top=25), a person exactly midway between floor 15 and floor 25 lives on floor:
(a) 20 (b) 19 (c) 21 (d) 20.5 - Choose the odd one out.
(a) Barley (b) Millet (c) Oats (d) Jute - If in a code, FOREST is coded as HQTGUV (shift forward by 2), how is JUNGLE coded?
(a) LWPING (b) LWPINF (c) LWPIMG (d) KWPING - In a line of 80 people, Devansh is 37th from the left. How many people are to his right?
(a) 43 (b) 42 (c) 44 (d) 41 - Statement: All vaults are secured chambers. Some secured chambers are underground. Conclusion I: Some vaults are underground. Conclusion II: All secured chambers are vaults. 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: 7, 14, 28, 56, ?
(a) 112 (b) 108 (c) 116 (d) 104 - In a row of 25 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 12 (b) 13 (c) 11 (d) 12.5 - Data Sufficiency: "Is c divisible by 14?" Statement I: c is divisible by 28. Statement II: c is divisible by 7. 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 ₹32,000 at 7% per annum for 4 years.
(a) ₹8,960 (b) ₹8,800 (c) ₹9,100 (d) ₹8,600 - A shopkeeper sells an article for ₹824 at a profit of 3%. Find the cost price.
(a) ₹800 (b) ₹790 (c) ₹810 (d) ₹780 - The average of 26 numbers is 38. If one number is removed, the average becomes 36 for the remaining 25. Find the removed number.
(a) 88 (b) 85 (c) 91 (d) 82 - A sum of ₹420 is divided in the ratio 8:7. Find the larger part.
(a) ₹224 (b) ₹215 (c) ₹230 (d) ₹210 - 45% of a number is 675. Find the number.
(a) 1,500 (b) 1,480 (c) 1,520 (d) 1,460 - A car travels 320 km in 5 hours and then 240 km in 3 hours. Find the average speed for the whole journey.
(a) 70 km/h (b) 68 km/h (c) 72 km/h (d) 65 km/h - Find the compound interest on ₹32,000 for 2 years at 10% per annum, compounded annually.
(a) ₹6,720 (b) ₹6,500 (c) ₹7,000 (d) ₹6,300 - Pipe A can fill a tank in 14 minutes and pipe B in 28 minutes. If both are opened together, how long will they take to fill the tank?
(a) 28/3 minutes ≈ 9.3 minutes (b) 10 minutes (c) 9 minutes (d) 11 minutes - A boat's speed in still water is 24 km/h and the stream flows at 6 km/h. Find the time to cover 180 km downstream.
(a) 6 hours (b) 5 hours (c) 7 hours (d) 6.5 hours - Find the next term in the series: 7, 14, 28, 56, ?
(a) 112 (b) 108 (c) 116 (d) 104 - An article with cost price ₹540 is sold for ₹810. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is thrice as old as B. Ten years ago, A was eight times as old as B. Find B's present age.
(a) 14 years (b) 12 years (c) 16 years (d) 10 years - Solve for x: 18(x − 15) = 10x − 46.
(a) 28 (b) 27 (c) 29 (d) 26 - Find the area of a rectangle with length 55 cm and breadth 34 cm.
(a) 1,870 sq cm (b) 1,850 sq cm (c) 1,890 sq cm (d) 1,830 sq cm - Two numbers are in the ratio 11:19. If their sum is 300, find the larger number.
(a) 190 (b) 185 (c) 195 (d) 180 - A sum of ₹1,17,000 is divided between A and B such that A's share is 190% more than B's share. Find B's share.
(a) ₹30,000 (b) ₹32,000 (c) ₹28,000 (d) ₹34,000 - Find the average of the first 300 natural numbers.
(a) 150.5 (b) 150 (c) 151 (d) 149.5 - A marked price of ₹12,000 is discounted by 15%. Find the selling price.
(a) ₹10,200 (b) ₹10,000 (c) ₹10,300 (d) ₹9,950 - Find the missing number in the series: 28, 58, 118, 238, ?
(a) 478 (b) 474 (c) 482 (d) 470 - A invests ₹1,40,000 for 6 months and B invests ₹1,20,000 for 7 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes ten times itself in 72 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 676 sq cm.
(a) 104 cm (b) 100 cm (c) 108 cm (d) 96 cm - A train 360 m long crosses a pole in 18 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 − 23x + 132 = 0 (smaller root).
(a) 11 (b) 12 (c) 10 (d) 13 - A shopkeeper marks an article 40% above cost price and gives a discount of 25%. Find the overall profit percentage.
(a) 5% (b) 8% (c) 3% (d) 10% - Find the average of the first 105 odd natural numbers.
(a) 105 (b) 104 (c) 106 (d) 103 - A sum of ₹1,10,000 is divided between A and B such that A's share is 350% more than B's share. Find B's share.
(a) ₹20,000 (b) ₹22,000 (c) ₹18,000 (d) ₹24,000 - Two pipes can fill a tank in 20 and 30 minutes respectively. A third pipe can empty it in 60 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 15 minutes (b) 12 minutes (c) 18 minutes (d) 10 minutes - Find the next term: 15, 32, 66, 134, ?
(a) 270 (b) 268 (c) 272 (d) 266 - A's income is 250% more than B's income. By what percentage is B's income less than A's income?
(a) 71.4% (b) 70% (c) 75% (d) 65% - Find the compound interest on ₹1,20,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹12,300 (b) ₹12,000 (c) ₹12,600 (d) ₹11,700 - A works ten times as fast as B. If B alone completes a task in 88 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: 55% of 160 + 30% of 220.
(a) 154 (b) 150 (c) 158 (d) 146 - A sum of ₹2,00,000 is lent at 3% per annum simple interest. Find the amount after 5 years.
(a) ₹2,30,000 (b) ₹2,28,000 (c) ₹2,32,000 (d) ₹2,25,000 - Find the next term: 11, 26, 56, 116, 236, ?
(a) 476 (b) 472 (c) 480 (d) 468
Answer Key with Explanations
1.(a) Placing C1, then B1 four seats to C1's left, D1 opposite C1, and E1 immediately right of D1 fixes E1 three seats to the right of B1 when traced around the circle.
2.(a) The wife's only brother is the girl's father, making the girl the man's niece.
3.(a) Each term follows ×2+4: 11×2+4=26, 26×2+4=56, 56×2+4=116, 116×2+4=236.
4.(a) Each letter shifts forward by one position: J→K, U→V, N→O, G→H, L→M, E→F.
5.(a) With T fifth from the left and U immediately to T's right, U sits sixth from the left.
6.(a) Wheat, Rice, and Maize are food grains, while Cotton is a fibre crop.
7.(a) All architects are designers, and all designers are creative, so all architects are creative follows validly.
8.(a) The eastward and westward legs (16 km each) cancel out, leaving only the 12 km southward displacement.
9.(a) The natural agricultural sequence is: ploughing, sowing, irrigation, and harvesting.
10.(a) Each letter shifts forward by one position: H→I, Y→Z, D→E, E→F, R→S, A→B, B→C, A→B, D→E.
11.(a) P≥Q>R gives P>R (one strict link); R>S then gives P>S.
12.(a) Statement I gives 13y=117, so y=9, a single definite value; Statement II alone only narrows y to whole numbers under 15, not a unique value.
13.(a) Position from the right = 95−42+1 = 54th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 13×2+1=27, 27×2+2=56, 56×2+3=115, 115×2+4=234.
15.(a) A and C are B's children (siblings); D is C's husband, and E is D and C's son, making A E's uncle.
16.(a) Each pair's first letter advances by four (I, M, Q, U, Y) and the second letter advances by four (N, R, V, Z, D, wrapping past Z), giving YD.
17.(a) All vaults are secured chambers, and no secured chamber is accessible without authorisation, so no vault is accessible without authorisation follows validly.
18.(a) P is one position above Q, and Q is eleven positions above R, so P is 1+11=12 positions above R.
19.(a) Each letter shifts forward by ten positions: D→N, O→Y, G→Q.
20.(a) Rank from the first = 75−30+1 = 46th.
21.(a) With F1 and G1 opposite in a 6-seat circle (3 seats apart) and H1 immediately to F1's right, H1 ends up two seats to the left of G1.
22.(a) Some analysts are strategists, and all strategists are planners, so some analysts are planners 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 three times the first except (16,49), since 16×3=48, not 49.
25.(a) "tracking" is common to "monthly expense tracking report" and "tracking for growth"; comparing with "expense for households" isolates "ka" as the code for "tracking".
26.(a) X>Y≥Z gives X>Z (one strict link); Z≥W then gives X>W.
27.(a) Midway between floor 15 and floor 25 is (15+25)/2 = 20.
28.(a) Barley, Millet, and Oats are cereal grains, while Jute is a fibre crop.
29.(a) Each letter shifts forward by two positions: F→H, O→Q, R→T, E→G, S→U, T→V.
30.(a) People to Devansh's right = 80−37 = 43.
31.(a) The premises do not guarantee any vault is underground, and clearly not all secured chambers are vaults, 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) Each term is multiplied by 2: 7×2=14, 14×2=28, 28×2=56, 56×2=112.
34.(a) In a row of 25 with one person exactly in the middle (13th position), 12 people sit on each side.
35.(a) Statement I alone (divisible by 28) guarantees divisibility by 14, since 28 is itself a multiple of 14; Statement II alone (divisible by 7) does not guarantee divisibility by 14.
36.(a) Simple interest = (32,000×7×4)/100 = ₹8,960.
37.(a) Cost price = 824/1.03 = ₹800.
38.(a) Total of 26 numbers = 26×38 = 988; total of remaining 25 = 25×36 = 900; removed number = 988−900 = 88.
39.(a) The parts total 8+7 = 15; each part = 420/15 = 28; larger part = 8×28 = ₹224.
40.(a) The number = 675/0.45 = 1,500.
41.(a) Total distance = 320+240 = 560 km; total time = 5+3 = 8 hours; average speed = 560/8 = 70 km/h.
42.(a) Amount = 32,000×(1.10)² = 38,720; compound interest = ₹6,720.
43.(a) Combined rate = 1/14+1/28 = 2/28+1/28 = 3/28, so together they take 28/3 ≈ 9.3 minutes.
44.(a) Downstream speed = 24+6 = 30 km/h; time = 180/30 = 6 hours.
45.(a) Each term is multiplied by 2: 7×2=14, 14×2=28, 28×2=56, 56×2=112.
46.(a) Profit = 810−540 = ₹270; profit percentage = (270/540)×100 = 50%.
47.(a) Let B's present age be x and A's be 3x; ten years ago, 3x−10 = 8(x−10), giving 3x−10 = 8x−80, so 5x=70, x=14.
48.(a) 18(x−15)=10x−46 gives 18x−270=10x−46, so 8x=224, x=28.
49.(a) Area = 55×34 = 1,870 sq cm.
50.(a) The parts total 11+19 = 30; each part = 300/30 = 10; larger number = 19×10 = 190.
51.(a) A's share is 2.9 times B's (190% more), giving a 29:10 ratio; each of the 39 parts = 1,17,000/39 = 3,000, so B's share = 10×3,000 = ₹30,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 300 is 301/2 = 150.5.
53.(a) Selling price = 12,000×0.85 = ₹10,200.
54.(a) Each term follows ×2+2: 28×2+2=58, 58×2+2=118, 118×2+2=238, 238×2+2=478.
55.(a) A:B ratio = (1,40,000×6):(1,20,000×7) = 8,40,000:8,40,000 = 1:1.
56.(a) A sum becoming ten times itself means the interest earned equals nine times the principal; rate = (9×100)/72 = 12.5% per annum.
57.(a) Side of the square = √676 = 26 cm; perimeter = 4×26 = 104 cm.
58.(a) Speed = 360 m / 18 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−23x+132=0 factorises as (x−11)(x−12)=0, giving roots 11 and 12; the smaller root is 11.
60.(a) Marking 40% above cost price and giving a 25% discount gives selling price = CP×1.40×0.75 = 1.05×CP, a net profit of 5%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 105 odd numbers is 105.
62.(a) A's share is 4.5 times B's (350% more), giving a 9:2 ratio; each of the 11 parts = 1,10,000/11 = 10,000, so B's share = 2×10,000 = ₹20,000.