Mock Test 9 — 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. P sits seventh to the right of Q. R sits opposite Q. S sits immediately to the left of R. Where does S sit relative to P?
(a) Second to the left (b) Second to the right (c) Opposite P (d) Immediately right - Pointing to a boy, a woman said, "He is the only son of my husband's mother's only daughter." How is the boy related to the woman?
(a) Nephew (b) Son (c) Brother (d) Cousin - Find the next term: 10, 23, 49, 101, ?
(a) 205 (b) 202 (c) 208 (d) 199 - If in a code, TIGER is coded as UJHFS, how is LEOPARD coded using the same rule?
(a) MFPQBSE (b) MFPQBSF (c) MFPQBRE (d) LFPQBSE - Seven people sit in a row facing north. M is third from the left. N sits immediately to the right of M. O sits at the right end. There are exactly two people between N and O.
(a) N is fourth from the left (b) N is fifth from the left (c) N is third from the left (d) N is sixth from the left - Choose the odd one out.
(a) Rose (b) Jasmine (c) Lily (d) Neem - Premises: "All auditors are chartered. All chartered professionals are certified." Which conclusion follows?
(a) All auditors are certified (b) All certified people are auditors (c) No auditors are certified (d) Some chartered professionals are not auditors - A walks 15 km east, turns left and walks 9 km, then turns left again and walks 15 km. How far is he from the start?
(a) 9 km (b) 15 km (c) 24 km (d) 30 km - Arrange in a logical sequence: 1. Boarding 2. Booking 3. Security check 4. Landing
(a) 2-3-1-4 (b) 1-2-3-4 (c) 2-1-3-4 (d) 3-2-1-4 - If in a code, CANADA is written as DBOBEB, how is BRAZIL written?
(a) CSBAJM (b) CSBAJN (c) CSBBJM (d) BSBAJM - 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 n?" Statement I: 10n − 20 = 80. Statement II: n is a two-digit 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 80 people, Farah is 33rd from the left. What is her position from the right?
(a) 48th (b) 47th (c) 49th (d) 46th - Find the missing number: 11, 23, 48, 99, ?
(a) 202 (b) 200 (c) 204 (d) 198 - A is the daughter of B. C is the son of B. D is the wife of C. E is the son of D. How is A related to E?
(a) Aunt (b) Mother (c) Sister (d) Cousin - Complete the series: GK, KO, OS, SW, ?
(a) WA (b) WZ (c) XA (d) VA - Statement: All depots are storage centres. No storage centre is unguarded. Conclusion: No depot is unguarded.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 13 boxes (box 1 at the bottom), box J is directly above box K, and K is nine positions above box L. How many positions separate J and L?
(a) 10 (b) 9 (c) 11 (d) 8 - If each letter is shifted forward by eight positions, CAT becomes KIB. Using the same rule, DOG becomes:
(a) LWO (b) LWN (c) KWO (d) LXO - A runner finishes 24th from the last in a race of 65 runners. Find the rank from the first.
(a) 42nd (b) 41st (c) 43rd (d) 40th - Six people sit around a circular table facing the centre. H sits opposite I. J sits immediately to the right of H. Where does J sit relative to I?
(a) Second to the left of I (b) Second to the right of I (c) Opposite I (d) Immediately left of I - Premises: "Some vendors are contractors. All contractors are registered." Which conclusion follows?
(a) Some vendors are registered (b) All vendors are registered (c) No vendors are registered (d) All registered entities are vendors - 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: (7,21), (8,24), (9,28), (10,30)
(a) (9,28) (b) (7,21) (c) (8,24) (d) (10,30) - In a code language, "annual sales target review" is coded as "wo pi ka su", "sales for regions" is coded as "pi ni ta", and "target for growth" is coded as "ka ni ra". What is the code for "target"?
(a) ka (b) wo (c) pi (d) su - 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 21 floors (ground=1, top=21), a person exactly midway between floor 11 and floor 21 lives on floor:
(a) 16 (b) 15 (c) 17 (d) 16.5 - Choose the odd one out.
(a) Sparrow (b) Eagle (c) Crow (d) Bat - If in a code, TIGER is coded as VKIGT (shift forward by 2), how is LEOPARD coded?
(a) NGQRCTF (b) NGQRCTE (c) NGQRCSF (d) MGQRCTF - In a line of 70 people, Aditya is 31st from the left. How many people are to his right?
(a) 39 (b) 38 (c) 40 (d) 37 - Statement: All depots are storage centres. Some storage centres are refrigerated. Conclusion I: Some depots are refrigerated. Conclusion II: All storage centres are depots. 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: 5, 13, 29, 61, ?
(a) 125 (b) 122 (c) 128 (d) 119 - In a row of 21 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 10 (b) 11 (c) 9 (d) 10.5 - Data Sufficiency: "Is v divisible by 6?" Statement I: v is divisible by 12. Statement II: v 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 ₹16,000 at 11% per annum for 5 years.
(a) ₹8,800 (b) ₹8,600 (c) ₹9,000 (d) ₹8,400 - A shopkeeper sells an article for ₹742 at a profit of 6%. Find the cost price.
(a) ₹700 (b) ₹690 (c) ₹710 (d) ₹680 - The average of 20 numbers is 28. If one number is removed, the average becomes 26 for the remaining 19. Find the removed number.
(a) 66 (b) 64 (c) 68 (d) 62 - A sum of ₹408 is divided in the ratio 7:5. Find the larger part.
(a) ₹238 (b) ₹230 (c) ₹242 (d) ₹225 - 36% of a number is 576. Find the number.
(a) 1,600 (b) 1,580 (c) 1,620 (d) 1,560 - A car travels 280 km in 4 hours and then 210 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 ₹16,000 for 2 years at 10% per annum, compounded annually.
(a) ₹3,360 (b) ₹3,200 (c) ₹3,500 (d) ₹3,000 - Pipe A can fill a tank in 11 minutes and pipe B in 22 minutes. If both are opened together, how long will they take to fill the tank?
(a) 22/3 minutes ≈ 7.3 minutes (b) 8 minutes (c) 7 minutes (d) 9 minutes - A boat's speed in still water is 18 km/h and the stream flows at 3 km/h. Find the time to cover 105 km downstream.
(a) 5 hours (b) 6 hours (c) 4.5 hours (d) 5.5 hours - Find the next term in the series: 4, 16, 64, 256, ?
(a) 1,024 (b) 1,000 (c) 1,050 (d) 980 - An article with cost price ₹420 is sold for ₹630. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is thrice as old as B. Seven years ago, A was four times as old as B. Find B's present age.
(a) 21 years (b) 18 years (c) 24 years (d) 15 years - Solve for x: 14(x − 12) = 9x − 18.
(a) 30 (b) 29 (c) 31 (d) 28 - Find the area of a rectangle with length 42 cm and breadth 26 cm.
(a) 1,092 sq cm (b) 1,080 sq cm (c) 1,100 sq cm (d) 1,060 sq cm - Two numbers are in the ratio 8:15. If their sum is 230, find the larger number.
(a) 150 (b) 145 (c) 155 (d) 140 - A sum of ₹1,65,000 is divided between A and B such that A's share is 130% more than B's share. Find B's share.
(a) ₹50,000 (b) ₹52,000 (c) ₹48,000 (d) ₹54,000 - Find the average of the first 200 natural numbers.
(a) 100.5 (b) 100 (c) 101 (d) 99.5 - A marked price of ₹9,600 is discounted by 12.5%. Find the selling price.
(a) ₹8,400 (b) ₹8,300 (c) ₹8,500 (d) ₹8,200 - Find the missing number in the series: 24, 50, 102, 206, ?
(a) 414 (b) 410 (c) 418 (d) 406 - A invests ₹1,00,000 for 8 months and B invests ₹1,60,000 for 5 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes four times itself in 24 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 484 sq cm.
(a) 88 cm (b) 84 cm (c) 92 cm (d) 80 cm - A train 300 m long crosses a pole in 15 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 − 19x + 90 = 0 (smaller root).
(a) 9 (b) 10 (c) 8 (d) 7 - A shopkeeper marks an article 20% above cost price and gives a discount of 10%. Find the overall profit percentage.
(a) 8% (b) 10% (c) 6% (d) 12% - Find the average of the first 85 odd natural numbers.
(a) 85 (b) 84 (c) 86 (d) 83 - A sum of ₹1,80,000 is divided between A and B such that A's share is 400% 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 24 and 36 minutes respectively. A third pipe can empty it in 48 minutes. If all three are opened together, how long will it take to fill the tank?
(a) 144/7 minutes ≈ 20.6 minutes (b) 18 minutes (c) 22 minutes (d) 24 minutes - Find the next term: 12, 26, 54, 110, 222, ?
(a) 446 (b) 442 (c) 450 (d) 438 - A's income is 150% more than B's income. By what percentage is B's income less than A's income?
(a) 60% (b) 55% (c) 65% (d) 50% - Find the compound interest on ₹90,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹9,225 (b) ₹9,000 (c) ₹9,450 (d) ₹8,800 - A works eight times as fast as B. If B alone completes a task in 72 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: 45% of 200 + 20% of 250.
(a) 140 (b) 135 (c) 145 (d) 130 - A sum of ₹1,20,000 is lent at 5% per annum simple interest. Find the amount after 4 years.
(a) ₹1,44,000 (b) ₹1,42,000 (c) ₹1,46,000 (d) ₹1,40,000 - Find the next term: 10, 23, 49, 101, 205, ?
(a) 413 (b) 410 (c) 416 (d) 408
Answer Key with Explanations
1.(a) Placing Q, then P seven seats to Q's right, R opposite Q, and S immediately left of R fixes S two seats to the left of P when traced around the circle.
2.(a) The husband's mother's only daughter is the husband's sister, and the sister's only son is the woman's nephew.
3.(a) Each term follows ×2+3: 10×2+3=23, 23×2+3=49, 49×2+3=101, 101×2+3=205.
4.(a) Each letter shifts forward by one position: L→M, E→F, O→P, P→Q, A→B, R→S, D→E.
5.(a) With M third from the left and N immediately to M's right, N sits fourth from the left.
6.(a) Rose, Jasmine, and Lily are flowering ornamental plants, while Neem is primarily known as a medicinal tree.
7.(a) All auditors are chartered, and all chartered professionals are certified, so all auditors are certified follows validly.
8.(a) The eastward and westward legs (15 km each) cancel out, leaving only the 9 km southward displacement.
9.(a) The natural sequence is: booking, security check, boarding, and landing.
10.(a) Each letter shifts forward by one position: B→C, R→S, A→B, Z→A (wrapping), I→J, L→M.
11.(a) P>Q≥R gives P>R (one strict link); R>S then gives P>S.
12.(a) Statement I gives 10n=100, so n=10, a single definite value; Statement II alone only narrows n to two-digit numbers, not a unique value.
13.(a) Position from the right = 80−33+1 = 48th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 11×2+1=23, 23×2+2=48, 48×2+3=99, 99×2+4=202.
15.(a) C and A are B's children (siblings); D is C's wife and E is D's son (C's child too), making A and E aunt and nephew/niece.
16.(a) Each pair's first letter advances by four (G, K, O, S, W) and the second letter advances by four (K, O, S, W, A, wrapping past Z), giving WA.
17.(a) All depots are storage centres, and no storage centre is unguarded, so no depot is unguarded follows validly.
18.(a) J is one position above K, and K is nine positions above L, so J is 1+9=10 positions above L.
19.(a) Each letter shifts forward by eight positions: D→L, O→W, G→O.
20.(a) Rank from the first = 65−24+1 = 42nd.
21.(a) With H and I opposite in a 6-seat circle (3 seats apart) and J immediately to H's right, J ends up two seats to the left of I.
22.(a) Some vendors are contractors, and all contractors are registered, so some vendors are registered 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 (9,28), since 9×3=27, not 28.
25.(a) "target" is common to "annual sales target review" and "target for growth"; comparing with "sales for regions" isolates "ka" as the code for "target".
26.(a) X≥Y>Z gives X>Z (one strict link); Z≥W then gives X>W.
27.(a) Midway between floor 11 and floor 21 is (11+21)/2 = 16.
28.(a) Sparrow, Eagle, and Crow are birds, while a Bat is a mammal.
29.(a) Each letter shifts forward by two positions: L→N, E→G, O→Q, P→R, A→C, R→T, D→F.
30.(a) People to Aditya's right = 70−31 = 39.
31.(a) The premises do not guarantee any depot is refrigerated, and clearly not all storage centres are depots, 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 follows ×2+3: 5×2+3=13, 13×2+3=29, 29×2+3=61, 61×2+3=125.
34.(a) In a row of 21 with one person exactly in the middle (11th position), 10 people sit on each side.
35.(a) Statement I alone (divisible by 12) guarantees divisibility by 6, since 12 is itself a multiple of 6; Statement II alone (divisible by 4) does not guarantee divisibility by 6.
36.(a) Simple interest = (16,000×11×5)/100 = ₹8,800.
37.(a) Cost price = 742/1.06 = ₹700.
38.(a) Total of 20 numbers = 20×28 = 560; total of remaining 19 = 19×26 = 494; removed number = 560−494 = 66.
39.(a) The parts total 7+5 = 12; each part = 408/12 = 34; larger part = 7×34 = ₹238.
40.(a) The number = 576/0.36 = 1,600.
41.(a) Total distance = 280+210 = 490 km; total time = 4+3 = 7 hours; average speed = 490/7 = 70 km/h.
42.(a) Amount = 16,000×(1.10)² = 19,360; compound interest = ₹3,360.
43.(a) Combined rate = 1/11+1/22 = 2/22+1/22 = 3/22, so together they take 22/3 ≈ 7.3 minutes.
44.(a) Downstream speed = 18+3 = 21 km/h; time = 105/21 = 5 hours.
45.(a) Each term is multiplied by 4: 4×4=16, 16×4=64, 64×4=256, 256×4=1,024.
46.(a) Profit = 630−420 = ₹210; profit percentage = (210/420)×100 = 50%.
47.(a) Let B's present age be x and A's be 3x; seven years ago, 3x−7 = 4(x−7), giving 3x−7 = 4x−28, so x=21.
48.(a) 14(x−12)=9x−18 gives 14x−168=9x−18, so 5x=150, x=30.
49.(a) Area = 42×26 = 1,092 sq cm.
50.(a) The parts total 8+15 = 23; each part = 230/23 = 10; larger number = 15×10 = 150.
51.(a) A's share is 2.3 times B's (130% more), giving a 23:10 ratio; each of the 33 parts = 1,65,000/33 = 5,000, so B's share = 10×5,000 = ₹50,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 200 is 201/2 = 100.5.
53.(a) Selling price = 9,600×0.875 = ₹8,400.
54.(a) Each term follows ×2+2: 24×2+2=50, 50×2+2=102, 102×2+2=206, 206×2+2=414.
55.(a) A:B ratio = (1,00,000×8):(1,60,000×5) = 8,00,000:8,00,000 = 1:1.
56.(a) A sum becoming four times itself means the interest earned equals three times the principal; rate = (3×100)/24 = 12.5% per annum.
57.(a) Side of the square = √484 = 22 cm; perimeter = 4×22 = 88 cm.
58.(a) Speed = 300 m / 15 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−19x+90=0 factorises as (x−9)(x−10)=0, giving roots 9 and 10; the smaller root is 9.
60.(a) Marking 20% above cost price and giving a 10% discount gives selling price = CP×1.20×0.90 = 1.08×CP, a net profit of 8%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 85 odd numbers is 85.
62.(a) A's share is 5 times B's (400% more), giving a 5:1 ratio; each of the 6 parts = 1,80,000/6 = 30,000, so B's share = 1×30,000 = ₹30,000.