Mock Test 14 — 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. R2 sits seventh to the right of S2. T2 sits opposite S2. U2 sits immediately to the left of T2. Where does U2 sit relative to R2?
(a) Second to the left (b) Second to the right (c) Opposite R2 (d) Immediately right - Pointing to a man, a woman said, "He is the father of the only daughter of my only brother." How is the man related to the woman?
(a) Brother (b) Brother-in-law (c) Father (d) Uncle - Find the next term: 9, 25, 57, 121, ?
(a) 249 (b) 246 (c) 252 (d) 243 - If in a code, KEYBOARD is coded as LFZCPBSE, how is COMPUTER coded using the same rule?
(a) DPNQVUFS (b) DPNQVUFR (c) DPNQVTFS (d) CPNQVUFS - Seven people sit in a row facing south. G4 is fourth from the left. H4 sits immediately to the right of G4. I4 sits at the right end. There are exactly two people between H4 and I4.
(a) H4 is fifth from the left (b) H4 is sixth from the left (c) H4 is fourth from the left (d) H4 is seventh from the left - Choose the odd one out.
(a) Iron (b) Copper (c) Aluminium (d) Rubber - Premises: "All surgeons are physicians. All physicians are licensed." Which conclusion follows?
(a) All surgeons are licensed (b) All licensed people are surgeons (c) No surgeons are licensed (d) Some physicians are not surgeons - A walks 22 km north, turns left and walks 26 km, then turns left again and walks 22 km. How far is he from the start?
(a) 26 km (b) 22 km (c) 44 km (d) 48 km - Arrange in a logical sequence: 1. Cheque clearing 2. Cheque deposit 3. Balance update 4. Fund transfer
(a) 2-1-4-3 (b) 1-2-3-4 (c) 2-1-3-4 (d) 4-2-1-3 - If in a code, MOUSE is coded as NPVTF, how is MONITOR coded using the same rule?
(a) NPOJUPS (b) NPOJUPR (c) NPOJTPS (d) MPOJUPS - 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 b?" Statement I: 19b − 38 = 190. Statement II: b is less than 20. 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 120 people, Priya is 52nd from the left. What is her position from the right?
(a) 69th (b) 68th (c) 70th (d) 67th - Find the missing number: 16, 33, 68, 139, ?
(a) 282 (b) 280 (c) 284 (d) 278 - A is the son of B. C is the daughter of B. D is the son of C. How is A's father related to D?
(a) Grandfather (b) Father (c) Uncle (d) Brother - Complete the series: LQ, PU, TY, XC, ?
(a) BG (b) BF (c) AG (d) BH - Statement: All bastions are defensive structures. No defensive structure is undermanned. Conclusion: No bastion is undermanned.
(a) Yes, it follows validly (b) No (c) Cannot be determined (d) Only partially - In a stack of 18 boxes (box 1 at the bottom), box Y is directly above box Z, and Z is fourteen positions above box A3. How many positions separate Y and A3?
(a) 15 (b) 14 (c) 16 (d) 13 - If each letter is shifted forward by thirteen positions, CAT becomes PNG. Using the same rule, DOG becomes:
(a) QBT (b) QBS (c) PBT (d) QCT - A runner finishes 39th from the last in a race of 90 runners. Find the rank from the first.
(a) 52nd (b) 51st (c) 53rd (d) 50th - Six people sit around a circular table facing the centre. Q1 sits opposite R1. S1 sits immediately to the right of Q1. Where does S1 sit relative to R1?
(a) Second to the left of R1 (b) Second to the right of R1 (c) Opposite R1 (d) Immediately left of R1 - Premises: "Some vendors are suppliers. All suppliers are verified." Which conclusion follows?
(a) Some vendors are verified (b) All vendors are verified (c) No vendors are verified (d) All verified entities are vendors - 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: (26,78), (27,81), (28,85), (29,87)
(a) (28,85) (b) (26,78) (c) (27,81) (d) (29,87) - In a code language, "quarterly compliance audit summary" is coded as "no pi ka su", "compliance for auditors" is coded as "pi ni ta", and "audit for growth" is coded as "ka ni ra". What is the code for "audit"?
(a) ka (b) no (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 31 floors (ground=1, top=31), a person exactly midway between floor 21 and floor 31 lives on floor:
(a) 26 (b) 25 (c) 27 (d) 26.5 - Choose the odd one out.
(a) Copper (b) Wood (c) Plastic (d) Rubber - If in a code, KEYBOARD is coded as MGADQCTF (shift forward by 2), how is COMPUTER coded?
(a) EQORWVGT (b) EQORWVGS (c) EQOQWVGT (d) DQORWVGT - In a line of 95 people, Vivaan is 44th from the left. How many people are to his right?
(a) 51 (b) 50 (c) 52 (d) 49 - Statement: All bastions are defensive structures. Some defensive structures are ancient. Conclusion I: Some bastions are ancient. Conclusion II: All defensive structures are bastions. 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: 6, 24, 96, 384, ?
(a) 1,536 (b) 1,500 (c) 1,550 (d) 1,480 - In a row of 31 people facing north, if a person sits exactly in the middle, how many people are on each side?
(a) 15 (b) 16 (c) 14 (d) 15.5 - Data Sufficiency: "Is f divisible by 21?" Statement I: f is divisible by 63. Statement II: f 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 ₹45,000 at 10% per annum for 4 years.
(a) ₹18,000 (b) ₹17,500 (c) ₹18,500 (d) ₹17,000 - A shopkeeper sells an article for ₹1,284 at a profit of 7%. Find the cost price.
(a) ₹1,200 (b) ₹1,190 (c) ₹1,210 (d) ₹1,180 - The average of 33 numbers is 46. If one number is removed, the average becomes 44 for the remaining 32. Find the removed number.
(a) 110 (b) 106 (c) 114 (d) 102 - A sum of ₹680 is divided in the ratio 9:8. Find the larger part.
(a) ₹360 (b) ₹350 (c) ₹365 (d) ₹345 - 34% of a number is 850. Find the number.
(a) 2,500 (b) 2,450 (c) 2,550 (d) 2,400 - A car travels 350 km in 5 hours and then 280 km in 4 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 ₹45,000 for 2 years at 10% per annum, compounded annually.
(a) ₹9,450 (b) ₹9,200 (c) ₹9,700 (d) ₹9,000 - Pipe A can fill a tank in 20 minutes and pipe B in 25 minutes. If both are opened together, how long will they take to fill the tank?
(a) 100/9 minutes ≈ 11.1 minutes (b) 12 minutes (c) 10 minutes (d) 13 minutes - A boat's speed in still water is 28 km/h and the stream flows at 8 km/h. Find the time to cover 144 km downstream.
(a) 4 hours (b) 5 hours (c) 3.5 hours (d) 4.5 hours - Find the next term in the series: 6, 24, 96, 384, ?
(a) 1,536 (b) 1,500 (c) 1,550 (d) 1,480 - An article with cost price ₹800 is sold for ₹1,200. Find the profit percentage.
(a) 50% (b) 45% (c) 55% (d) 48% - A is four times as old as B. Eight years ago, A was ten 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: 16(x − 17) = 8x + 48.
(a) 40 (b) 39 (c) 41 (d) 38 - Find the area of a rectangle with length 70 cm and breadth 45 cm.
(a) 3,150 sq cm (b) 3,100 sq cm (c) 3,200 sq cm (d) 3,050 sq cm - Two numbers are in the ratio 16:25. If their sum is 410, find the larger number.
(a) 250 (b) 245 (c) 255 (d) 240 - A sum of ₹1,14,000 is divided between A and B such that A's share is 180% 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 600 natural numbers.
(a) 300.5 (b) 300 (c) 301 (d) 299.5 - A marked price of ₹19,200 is discounted by 15%. Find the selling price.
(a) ₹16,320 (b) ₹16,000 (c) ₹16,450 (d) ₹15,900 - Find the missing number in the series: 34, 70, 142, 286, ?
(a) 574 (b) 570 (c) 578 (d) 566 - A invests ₹2,00,000 for 9 months and B invests ₹3,00,000 for 6 months. Find the ratio of their profit shares.
(a) 1:1 (b) 2:3 (c) 3:2 (d) 4:5 - A sum becomes sixteen times itself in 120 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 1,024 sq cm.
(a) 128 cm (b) 124 cm (c) 132 cm (d) 120 cm - A train 480 m long crosses a pole in 24 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 − 29x + 210 = 0 (smaller root).
(a) 14 (b) 15 (c) 13 (d) 16 - A shopkeeper marks an article 70% above cost price and gives a discount of 40%. Find the overall profit percentage.
(a) 2% (b) 5% (c) 8% (d) 0% - Find the average of the first 135 odd natural numbers.
(a) 135 (b) 134 (c) 136 (d) 133 - A sum of ₹1,45,000 is divided between A and B such that A's share is 380% 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 14 and 21 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) 21/2 = 10.5 minutes (b) 11 minutes (c) 12 minutes (d) 9 minutes - Find the next term: 18, 38, 78, 158, ?
(a) 318 (b) 314 (c) 322 (d) 310 - A's income is 450% more than B's income. By what percentage is B's income less than A's income?
(a) 81.8% (b) 80% (c) 85% (d) 78% - Find the compound interest on ₹2,50,000 for 1 year at 10% per annum, compounded half-yearly.
(a) ₹25,625 (b) ₹25,000 (c) ₹26,250 (d) ₹24,400 - A works thirteen times as fast as B. If B alone completes a task in 112 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: 70% of 130 + 45% of 160.
(a) 163 (b) 158 (c) 168 (d) 153 - A sum of ₹3,50,000 is lent at 6% per annum simple interest. Find the amount after 3 years.
(a) ₹4,13,000 (b) ₹4,10,000 (c) ₹4,15,000 (d) ₹4,05,000 - Find the next term: 9, 25, 57, 121, 249, ?
(a) 505 (b) 500 (c) 510 (d) 495
Answer Key with Explanations
1.(a) Placing S2, then R2 seven seats to S2's right, T2 opposite S2, and U2 immediately left of T2 fixes U2 two seats to the left of R2 when traced around the circle.
2.(a) The father of the woman's only brother's only daughter is the brother himself, so the man is the woman's brother.
3.(a) Each term follows ×2+7: 9×2+7=25, 25×2+7=57, 57×2+7=121, 121×2+7=249.
4.(a) Each letter shifts forward by one position: C→D, O→P, M→N, P→Q, U→V, T→U, E→F, R→S.
5.(a) With G4 fourth from the left and H4 immediately to G4's right, H4 sits fifth from the left.
6.(a) Iron, Copper, and Aluminium are metals, while Rubber is a non-metal.
7.(a) All surgeons are physicians, and all physicians are licensed, so all surgeons are licensed follows validly.
8.(a) The northward and southward legs (22 km each) cancel out, leaving only the 26 km westward displacement.
9.(a) The natural sequence is: cheque deposit, cheque clearing, balance update, and fund transfer.
10.(a) Each letter shifts forward by one position: M→N, O→P, U→V, S→T, E→F applied to MOUSE→NPVTF; the same rule gives MONITOR→NPOJUPS.
11.(a) A≥B>C gives A>C (one strict link); C>D then gives A>D.
12.(a) Statement I gives 19b=228, so b=12, a single definite value; Statement II alone only narrows b to values less than 20, not a unique value.
13.(a) Position from the right = 120−52+1 = 69th.
14.(a) The pattern is ×2 plus an increasing increment (1, 2, 3, 4): 16×2+1=33, 33×2+2=68, 68×2+3=139, 139×2+4=282.
15.(a) B is the parent of both A and C; C's son D is therefore B's grandchild, making B the grandparent of D.
16.(a) Each pair's first letter advances by four (L, P, T, X, B, wrapping past Z) and the second letter advances by four (Q, U, Y, C, G, wrapping past Z), giving BG.
17.(a) All bastions are defensive structures, and no defensive structure is undermanned, so no bastion is undermanned follows validly.
18.(a) Y is one position above Z, and Z is fourteen positions above A3, so Y is 1+14=15 positions above A3.
19.(a) Each letter shifts forward by thirteen positions: D→Q, O→B, G→T.
20.(a) Rank from the first = 90−39+1 = 52nd.
21.(a) With Q1 and R1 opposite in a 6-seat circle (3 seats apart) and S1 immediately to Q1's right, S1 ends up two seats to the left of R1.
22.(a) Some vendors are suppliers, and all suppliers are verified, so some vendors are verified 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 (28,85), since 28×3=84, not 85.
25.(a) "audit" is common to "quarterly compliance audit summary" and "audit for growth"; comparing with "compliance for auditors" isolates "ka" as the code for "audit".
26.(a) X>Y≥Z gives X>Z (one strict link); Z>W then gives X>W.
27.(a) Midway between floor 21 and floor 31 is (21+31)/2 = 26.
28.(a) Wood, Plastic, and Rubber are electrical insulators, while Copper is a conductor.
29.(a) Each letter shifts forward by two positions: C→E, O→Q, M→O, P→R, U→W, T→V, E→G, R→T.
30.(a) People to Vivaan's right = 95−44 = 51.
31.(a) The premises do not guarantee any bastion is ancient, and clearly not all defensive structures are bastions, 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: 6×4=24, 24×4=96, 96×4=384, 384×4=1,536.
34.(a) In a row of 31 with one person exactly in the middle (16th position), 15 people sit on each side.
35.(a) Statement I alone (divisible by 63) guarantees divisibility by 21, since 63 is itself a multiple of 21; Statement II alone (divisible by 7) does not guarantee divisibility by 21.
36.(a) Simple interest = (45,000×10×4)/100 = ₹18,000.
37.(a) Cost price = 1,284/1.07 = ₹1,200.
38.(a) Total of 33 numbers = 33×46 = 1,518; total of remaining 32 = 32×44 = 1,408; removed number = 1,518−1,408 = 110.
39.(a) The parts total 9+8 = 17; each part = 680/17 = 40; larger part = 9×40 = ₹360.
40.(a) The number = 850/0.34 = 2,500.
41.(a) Total distance = 350+280 = 630 km; total time = 5+4 = 9 hours; average speed = 630/9 = 70 km/h.
42.(a) Amount = 45,000×(1.10)² = 54,450; compound interest = ₹9,450.
43.(a) Combined rate = 1/20+1/25 = 5/100+4/100 = 9/100, so together they take 100/9 ≈ 11.1 minutes.
44.(a) Downstream speed = 28+8 = 36 km/h; time = 144/36 = 4 hours.
45.(a) Each term is multiplied by 4: 6×4=24, 24×4=96, 96×4=384, 384×4=1,536.
46.(a) Profit = 1,200−800 = ₹400; profit percentage = (400/800)×100 = 50%.
47.(a) Let B's present age be x and A's be 4x; eight years ago, 4x−8 = 10(x−8), giving 4x−8 = 10x−80, so 6x=72, x=12.
48.(a) 16(x−17)=8x+48 gives 16x−272=8x+48, so 8x=320, x=40.
49.(a) Area = 70×45 = 3,150 sq cm.
50.(a) The parts total 16+25 = 41; each part = 410/41 = 10; larger number = 25×10 = 250.
51.(a) A's share is 2.8 times B's (180% more), giving a 14:5 ratio; each of the 19 parts = 1,14,000/19 = 6,000, so B's share = 5×6,000 = ₹30,000.
52.(a) The average of the first n natural numbers is (n+1)/2, so the average of the first 600 is 601/2 = 300.5.
53.(a) Selling price = 19,200×0.85 = ₹16,320.
54.(a) Each term follows ×2+2: 34×2+2=70, 70×2+2=142, 142×2+2=286, 286×2+2=574.
55.(a) A:B ratio = (2,00,000×9):(3,00,000×6) = 18,00,000:18,00,000 = 1:1.
56.(a) A sum becoming sixteen times itself means the interest earned equals fifteen times the principal; rate = (15×100)/120 = 12.5% per annum.
57.(a) Side of the square = √1,024 = 32 cm; perimeter = 4×32 = 128 cm.
58.(a) Speed = 480 m / 24 s = 20 m/s = 20×18/5 = 72 km/h.
59.(a) x²−29x+210=0 factorises as (x−14)(x−15)=0, giving roots 14 and 15; the smaller root is 14.
60.(a) Marking 70% above cost price and giving a 40% discount gives selling price = CP×1.70×0.60 = 1.02×CP, a net profit of 2%.
61.(a) The average of the first n odd natural numbers equals n, so the average of the first 135 odd numbers is 135.
62.(a) A's share is 4.8 times B's (380% more), giving a 24:5 ratio; each of the 29 parts = 1,45,000/29 = 5,000, so B's share = 5×5,000 = ₹25,000.
63.(a) Combined rate = 1/14+1/21−1/42 = 3/42+2/42−1/42 = 4/42 = 2/21, so the tank fills in 21/2 = 10.5 minutes.
64.(a) Each term follows ×2+2: 18×2+2=38, 38×2+2=78, 78×2+2=158, 158×2+2=318.
65.(a) If A = 5.5B, then B = A/5.5 ≈ 0.1818A, meaning B's income is about 81.8% less than A's.
66.(a) Amount = 2,50,000×(1.05)² = 2,75,625; compound interest = ₹25,625.
67.(a) B's rate = 1/112; A's rate (thirteen times as fast) = 13/112; combined rate = 1/112+13/112 = 14/112 = 1/8, so together they take 8 days.
68.(a) 70% of 130 = 91; 45% of 160 = 72; sum = 163.
69.(a) Simple interest = (3,50,000×6×3)/100 = 63,000; amount = 3,50,000+63,000 = ₹4,13,000.
70.(a) Each term follows ×2+7: 9×2+7=25, 25×2+7=57, 57×2+7=121, 121×2+7=249, 249×2+7=505.