Hexaware – Aptitude Questions & Answers for Placement Tests

Ans: B

Cases: 3 men and 2 women, 4 men and 1 woman, 5 men and 0 women. (7C3 * 6C2) + (7C4 * 6C1) + (7C5 * 6C0) = (35 * 15) + (35 * 6) + (21 * 1) = 525 + 210 + 21 = 756

Ans: A

Investment amounts are 3/12 * 12000 = 3000, 4/12 * 12000 = 4000, and 5/12 * 12000 = 5000. Interest earned in each scheme is calculated using simple interest formula (P*R*T)/100. For the first scheme: (3000*10*2)/100 = 600. For the second scheme: (4000*12*2)/100 = 960. For the third scheme: (5000*15*2)/100 = 1500. Total interest = 600 + 960 + 1500 = 3060.

Ans: A

Let the original price be 100. After a 20% increase, the price becomes 120. After a 10% decrease, the new price is 120 – (10% of 120) = 120 – 12 = 108. The net change is 108 – 100 = 8. The percentage change is (8/100) * 100 = 8%.

Ans: B

Let W be the work done by one typist in one hour. Then 6 typists working 8 hours a day for 12 days do a work of 6 * 8 * 12 * W. Now 4 typists working x hours a day for 18 days do a work of 4 * x * 18 * W. We are given that 4 * x * 18 * W = 3 * (6 * 8 * 12 * W). Therefore, x = (3 * 6 * 8 * 12) / (4 * 18) = 24.

Ans: B

Let the total distance be D. Time taken for the first one-third distance (D/3) = (D/3) / 20 = D/60. Remaining distance = 2D/3. Time taken for the remaining distance = (2D/3) / 24 = D/36. Total time = 4 hours. Thus, D/60 + D/36 = 4. (3D + 5D)/180 = 4. 8D = 720. D = 90.

Ans: B

Let the volumes be 2V, 3V, and 5V. Assume each volume unit is 1 kg. Cost of X = 2 kg * $60/kg = $120. Cost of Y = 3 kg * $80/kg = $240. Cost of Z = 5 kg * $100/kg = $500. Total cost = $120 + $240 + $500 = $860. Total volume = 2 + 3 + 5 = 10 kg. Cost price per kg = $860 / 10 kg = $86/kg. Selling price = $86 * 1.20 = $103.2. The provided answer options seem to contain a mistake. The closest answer will be chosen.

Ans: A

The relative speed of the train with respect to the man is 30 – 2 = 28 mps. The distance the train needs to cover to pass the man is equal to its own length, which is 150 meters. Time = Distance / Speed = 150 / 28 = 5.36 seconds which is approximately 5 seconds.

Ans: D

Let the roots be α and β. Given, α^2 + β^2 = 10 and αβ = 3. We know that α^2 + β^2 = (α + β)^2 – 2αβ. Also, from the equation, α + β = -p. Substituting the values, 10 = (-p)^2 – 2(3) => 10 = p^2 – 6 => p^2 = 16 => p = ±4. Therefore, p could be either 4 or -4.

Ans: A

B/C = 3/4, so B = (3/4) * C = (3/4) * 24 = 18. A/B = 4/5, so A = (4/5) * B = (4/5) * 18 = 14.4, There seems to be a minor mathematical error in my answer, which is an inconsistency. The calculation leads to 14.4 not a whole number. The provided options do not match the calculations. Revising and reevaluating the solution path. Rewriting the solution path, and reexamining each step. B = (3/4)*24 = 18, which is correct. Since A/B is 4/5, then A = (4/5)*B = (4/5)*18, which leads to 72/5, or 14.4 again. There is still a problem. The question itself appears to be fine but the calculations don’t lead to any of the given options. If B is 15, that makes A 12. Let’s reconsider the ratio and if the question had an error. If A and B is 4:5 and B and C is 5:4 and C is 24, B = (5/4)*24 = 30. A = (4/5)*30 = 24. But this makes it a simple ratio. If B is 15, A should be 12.

Ans: D

Let X = 3k and Y = 4k. The common ratio is (4k/3k) = 4/3. The sum of a geometric progression is a(r^n – 1)/(r – 1). Therefore, 3k((4/3)^5 – 1)/(4/3 – 1) = 211. 3k(1024/243 – 1)/(1/3) = 211. 9k(781/243) = 211. k = (211 * 243)/(9 * 781) = (211 * 27)/(781) = 7. Y = 4k = 4 * 7 = 28. It seems there’s a calculation error or incorrect answer, as 28 isn’t an option. Let’s review: 3k * (4/3)^5 – 1 / (4/3 – 1) = 211; 3k * (1024/243 – 243/243) / (1/3) = 211; 3k * (781/243) * 3 = 211; 9k * (781/243) = 211; k = 211 * 27/781; k = 7. If there’s no error, this should be 28, and since it isn’t an option, I will pick the closest valid possible value that seems logical.

Ans: B

Let the distance between A and B be ‘d’ km. Time taken for the journey from A to B = d/60 hours. Time taken for the journey from B to A = d/40 hours. Total distance traveled = 2d. Total time taken = d/60 + d/40 = (2d + 3d)/120 = 5d/120 = d/24 hours. Average speed = Total distance / Total time = 2d / (d/24) = 2d * 24/d = 48 kmph.

Ans: A

Let Tom’s present age be 4x and Jerry’s present age be 5x. Five years ago, their ages were 4x-5 and 5x-5. (4x-5) / (5x-5) = 3/4 16x – 20 = 15x – 15 x = 5 Tom’s present age = 4x = 4 * 5 = 20

Ans: A

Simple Interest = (Principal * Rate * Time) / 100 = (7500 * 8 * 2.5) / 100 = 1500. Total amount = Principal + Simple Interest = 7500 + 1500 = 9000

Ans: C

h(-3) = (-3)^2 – 4 = 9 – 4 = 5; j(-3) = |-3 – 2| = |-5| = 5

Ans: D

Let Sarah’s age be ‘s’ and John’s age be ‘j’. From I: j = s + 5 From II: s + j = 25 Using both statements, we can solve for ‘s’. Substituting I into II: s + (s + 5) = 25 => 2s + 5 = 25 => 2s = 20 => s = 10.

Ans: C

The coding is based on the sum of the positions of the letters in the alphabet. C(3) + A(1) + T(20) = 24. D(4) + O(15) + G(7) = 26, and the pattern looks like the sum + 7. Hence the dog pattern is followed. So, F(6) + O(15) + X(24) = 45. Therefore, the pattern will be: 45-9=36.

Ans: B

The pattern is +8, +10, +12, +14, +16. The missing term is 42 + 14 = 56.

Ans: C

Statement II is just a multiple of statement I. Therefore, we can’t find the individual price of the pen using these statements.

Ans: B

The seating arrangement is: Ben – Alex – Chloe – Frank – Emily – David.

Ans: C

The pattern is the squares of consecutive integers: 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2. The missing term is 6^2 = 36.

Ans: D

Mango, Apple, and Banana are fruits. Carrot is a vegetable.

Ans: D

The price reduction is implemented to increase sales. Therefore, both attracting new customers and retaining existing customers are implicit goals.

Ans: B

The cyclist moves 4 km west and then 6 km east, resulting in a net displacement of 6 – 4 = 2 km east. The northward and southward movements cancel each other out. Therefore, the cyclist is 2 km east of his starting point.

Ans: A

The pattern is: 7 + 9 = 16 16 + 23 = 39 39 + 39 = 78 78 + 67 = 145 145 + 97 = 242 The differences are: 9, 23, 39, 67, 97. The differences of these are: 14, 16, 28, 30. The differences of these are: 2, 12, 2. Another pattern: 7 + 3^1 -1 + 3 = 16 16 + 3^2 -1 + 13 = 39 39 + 3^3 -1 + 1 = 78 78 + 4^3 -1 + 10 = 145 145 + 5^3 -1 -11 = 242 242 + 6^3 -1 – 2 = 365

Ans: C

Reading is the action performed on a book. Seeing is the action performed on a picture.

Ans: C

Options II and III are more sustainable long-term solutions that address the root cause. Option I only offers a temporary fix.

Ans: B

The rule is to arrange the numbers in ascending order, followed by the words in alphabetical order. The number of steps required can be found by counting the swaps until the numbers are in ascending order and then words are in alphabetical order. Input: PLAY 31 44 HOME 16 89 RUN 67 55 Step I: 16 PLAY 31 44 HOME 89 RUN 67 55 Step II: 16 31 PLAY 44 HOME 89 RUN 67 55 Step III: 16 31 44 HOME 89 RUN 67 55 Step IV: 16 31 44 55 HOME 89 RUN 67 Step V: 16 31 44 55 67 HOME 89 RUN Step VI: 16 31 44 55 67 89 HOME PLAY RUN Step VII: 16 31 44 55 67 89 HOME PLAY RUN

Ans: B

The pattern is each letter is shifted one position backward in the alphabet.

Ans: C

The most effective solution is to address the root cause of the problem: outdated products. Investing in R&D to create new or updated products directly tackles this issue, positioning the company for future success by meeting evolving customer needs.

Ans: A

The increase in petrol prices (Statement I) likely caused people to use public transport more (Statement II).

Ans: A

Higher petrol prices often lead people to seek cheaper alternatives like public transportation.

Ans: A

Higher petrol prices can contribute to increased prices of essential commodities due to transportation costs, making the price of petrol the initial cause.

Ans: A

Each letter is shifted forward by one position, then the last letter is shifted forward by one position as well.

Ans: A

Sentences A, C and E are grammatically correct. Sentence B should be “Despite the challenges…” and Sentence D should be “…was working late…”.

Ans: D

The correct preposition is “by” because it indicates a deadline or a time limit.

Ans: C

Both arguments have merit, arguing for opposing viewpoints.

Ans: A

Immediate actions should focus on saving lives and providing aid. Investigation can follow.

Ans: B

The most logical flow starts with a general statement about the history of computers, then describes the early computers, then the later advancements, and the reason behind them.

Ans: B

The cat is positioned on top of the table.

Ans: A

To emulate means to match or surpass, typically by imitation.

Ans: B

The best word to describe a car running well, regardless of age, is smoothly.

Ans: B

The verb “discussed” does not take the preposition “about”.

Ans: D

The phrase “that bit the mailman” is nonrestrictive, meaning it adds extra information but isn’t essential to identify the dog. Therefore, it should be set off by commas.

Ans: B

The sentence describes an action completed before another action in the past, hence past perfect tense is appropriate.

Ans: B

Loyalty is the closest meaning to allegiance.

Ans: C

“Laid off” means to dismiss an employee because of a lack of work.

Ans: A

The possessive pronoun “its” should be used instead of the contraction “it’s”.

Ans: C

Millennium is the only correctly spelled word.

Ans: C

The sentence is in present continuous tense. When changing the voice, the tense should be maintained.

Ans: C

Industrious means showing care and effort in your work or duties.

Ans: A

The correct option is the one that accurately reflects the teacher’s advice in direct speech. Options A, C, and D are correct. Option B is incorrect as it doesn’t specify who is being addressed.

Ans: A

The subject is “manager” which is singular, so the verb should be “is planning.”