Kaar Tech – Aptitude Questions & Answers for Placement Tests

Reviewing Previous Year Questions is a good start. Prepare Aptitude thoroughly to Clear Placement Tests with 100% Confidence.

Q.1 Two trains start at the same time from Delhi and Agra, which are 400 km apart. The first train travels from Delhi to Agra at 60 kmph, and the second train travels from Agra to Delhi at 40 kmph. At what distance from Delhi will the two trains meet?

Check Solution

Ans: B

Relative speed = 60 + 40 = 100 kmph. Time to meet = 400/100 = 4 hours. Distance traveled by the first train in 4 hours = 60 * 4 = 240 km.

Q.2 Alice can paint a wall in 6 hours and Bob can paint the same wall in 12 hours. If they work together, how long will it take them to paint the wall?

Check Solution

Ans: B

Alice’s work rate is 1/6 walls per hour, and Bob’s work rate is 1/12 walls per hour. Together, their work rate is 1/6 + 1/12 = 3/12 = 1/4 walls per hour. Therefore, it will take them 4 hours to complete the wall.

**Q.3 If P = 2^2 * 3^3 * 5 and Q = 2 * 3^2 * 7, then the LCM of P and Q is**

Check Solution

Ans: C

To find the LCM, take the highest power of each prime factor present in the numbers.

Q.4 Find the missing number: 7 (77) 10, 9 (99) 12, 5 (?) 8

Check Solution

Ans: C

(First Number * Second Number) – (Second Number – First Number)

Q.5 If 24 6 = 4, 35 7 = 10, 48 8 = 6, then 56 7 =?

Check Solution

Ans: A

The pattern is (first number / second number) – 2 or (first number / second number) – (second number / second number). For instance, 24/6 = 4, 35/7 = 5, (5-2 = 3 or 10/2 = 5 * 2 or 48/8= 6) Then, 56/7 = 8

Q.6 200 people were surveyed about their coffee and tea preferences. 120 like coffee, 80 like tea, and 40 like both. What is the probability that a randomly selected person likes neither coffee nor tea?

Check Solution

Ans: A

People who like only coffee = 120 – 40 = 80. People who like only tea = 80 – 40 = 40. People who like either coffee or tea or both = 80 + 40 + 40 = 160. People who like neither = 200 – 160 = 40. Probability = 40/200 = 1/5.

Q.7 D is three years younger than E who is thrice as old as F. If the total age of D, E and F is 38, then the age of E is?

Check Solution

Ans: B

Let F’s age be x. Then E’s age is 3x, and D’s age is 3x – 3. So, x + 3x + (3x – 3) = 38. This simplifies to 7x – 3 = 38, then 7x = 41, and x = 41/7. Not feasible because the ages are not integers. Let F’s age be x. Then E’s age is 3x, and D’s age is 3x – 3. So, x + 3x + (3x – 3) = 38. This simplifies to 7x = 41. This leads to a non-integer result, the question should be corrected. Rephrasing: D is three years younger than E who is thrice as old as F. If the total age of D, E and F is 39, then the age of E is? Let F’s age be x. Then E’s age is 3x, and D’s age is 3x – 3. So, x + 3x + (3x – 3) = 39. This simplifies to 7x – 3 = 39, then 7x = 42, and x = 6. E’s age is 3 * 6 = 18

Q.8 Three runners start running simultaneously from the same point on a circular track. The track is 400 meters long. Their speeds are 4 m/s, 5 m/s, and 8 m/s respectively. After how many seconds will they meet again at the starting point?

Check Solution

Ans: B

Find the time taken by each runner to complete one round: Runner 1: 400/4 = 100 seconds, Runner 2: 400/5 = 80 seconds, Runner 3: 400/8 = 50 seconds. Find the LCM of 100, 80, and 50. LCM(100,80,50) = 400.

Q.9 A baker has 45 cupcakes. He decides to distribute them among his 3 friends in the ratio of 2/5 : 1/3 : 4/15. How many cupcakes does each friend receive respectively?

Check Solution

Ans: D

Convert the ratio to have a common denominator: 2/5:1/3:4/15 becomes 6/15 : 5/15 : 4/15. Total parts = 6+5+4 = 15 parts. Each part is 45/15 = 3 cupcakes. First friend gets 6 parts * 3 = 18, second gets 5 parts * 3 = 15, and third gets 4 parts * 3 = 12.

Q.10 The average weight of 15 students is 60 kg. If the average weight of the first 7 students is 58 kg and the average weight of the last 7 students is 62 kg, then what is the weight of the 8th student?

Check Solution

Ans: C

Total weight of 15 students = 15 * 60 = 900 kg. Total weight of first 7 students = 7 * 58 = 406 kg. Total weight of last 7 students = 7 * 62 = 434 kg. Weight of the 8th student = 406 + 434 – 900 = 940 – 900 = 40 kg

Q.11 The ratio of the speed of a boat in still water to the speed of the current is 5:1. If the boat travels 60 km downstream and 40 km upstream in a total of 10 hours, what is the speed of the boat in still water?

Check Solution

Ans: A

Let the speed of the boat in still water be 5x and the speed of the current be x. Downstream speed = 5x + x = 6x Upstream speed = 5x – x = 4x Time taken downstream = 60 / 6x = 10/x Time taken upstream = 40 / 4x = 10/x Total time = 10/x + 10/x = 10 20/x = 10 x = 2 Speed of the boat in still water = 5x = 5 * 2 = 10 kmph

Q.12 A shopkeeper sells a shirt at a 20% profit. If he had bought the shirt for 10% less and sold it for Rs. 36 less, he would have gained 30%. What is the original cost price of the shirt?

Check Solution

Ans: B

Let CP be the original cost price and SP be the selling price. SP = 1.20 * CP New CP = 0.90 * CP New SP = 0.90 * CP * 1.30 = 1.17 * CP SP – New SP = 36 1. 20 * CP – 1.17 * CP = 36 03 * CP = 36 CP = 1200 CP = 1200/0.30 =1200 CP = Rs. 200

Q.13 A shopkeeper marks up the price of a shirt by 60% and then offers a discount of 20%. If the cost price of the shirt is Rs. 800, what is the selling price of the shirt?

Check Solution

Ans: B

Marked Price = 800 + (60/100)*800 = 800 + 480 = 1280. Selling Price = 1280 – (20/100)*1280 = 1280 – 256 = 1024

Q.14 The volume of a cube is 512 cm³. If the side of the cube is equal to the diameter of a circle, then find the circumference of the circle.

Check Solution

Ans: A

Side of cube = ∛512 = 8 cm. Diameter of circle = 8 cm, Radius = 4 cm. Circumference = 2πr = 2 * 3.14 * 4 = 25.12 cm.

Q.15 A and B invested in a business. A invested Rs. 6000 for 8 months and B invested Rs. 8000 for 6 months. If the total profit earned is Rs. 7200, what is B’s share of the profit?

Check Solution

Ans: A

Ratio of profit sharing = (6000 * 8) : (8000 * 6) = 48000 : 48000 = 1:1. Therefore, B’s share is 7200 / 2 = 3600.

Q.16 Ram can build a wall in 20 days and Shyam can build the same wall in 30 days. How long will it take them to build a wall twice as big, working together?

Check Solution

Ans: A

Ram’s work rate = 1/20, Shyam’s work rate = 1/30. Combined work rate = 1/20 + 1/30 = 1/12. Time to build one wall together = 12 days. Time to build a wall twice as big = 12 * 2 = 24 days.

Q.17 Direction: Study the following information to answer the given questions: Seven friends P, Q, R, S, T, U, and V are sitting around a circular table facing the center. Each of them likes a different color: Red, Blue, Green, Yellow, Orange, Purple, and Black, but not necessarily in the same order. * P sits second to the right of the person who likes Blue. * Only one person sits between P and the person who likes Green. * S sits third to the left of V. * The person who likes Yellow sits opposite to S. * R likes Black and sits to the immediate left of the person who likes Purple. * Q sits second to the right of the person who likes Red. * U does not like Yellow. Four of the following five are alike in a certain way and hence form a group. Which one does not belong to that group?

Check Solution

Ans: C

By analyzing the seating arrangement and color preferences, we can deduce that: P likes Orange, Q likes Green, R likes Black, S likes Yellow, T likes Blue, U likes Red and V likes Purple. The group follows the pattern of the person and their liking color. But in option C, S likes Yellow.

Q.18 Choose the correct option. “HOUSE : IQVFG :: TABLE : ?”

Check Solution

Ans: C

The pattern is each letter’s position is incremented by one, then by two, then by three, then by four, and finally by five.

Q.19 Study the following information carefully and answer the questions given below: There are eight members in a family. A and B are a married couple. C is the only son of A and B. D is the daughter of C. E is the sister of C. F is the father of A. G is the spouse of E, and H is the son of G. If D is the granddaughter of F, then how is B related to H?

Check Solution

Ans: A

D is the granddaughter of F, meaning A is a child of F and C is A’s child. Since C is the son of B, B is the grandmother of D. H is the son of E and E is the sister of C. So B is the Grandmother of H.

Q.20 Rahul starts from point P. He walks 8m towards the east and reaches point Q. He then turns left and walks 5m to reach point R. From there, he turns left again and walks 8m to reach point S. Finally, he turns to his right and walks 5m to reach point T. What is the direction of point Q with respect to point T?

Check Solution

Ans: D

Point Q is East of Point T. Since Rahul walked 5m North from R to T, and he walked 5m North from Q to R.

Q.21 Direction (1-3): Study the following information carefully and answer the questions given below: Eight people A, B, C, D, E, F, G, and H are sitting around a circular table, facing the center. B sits second to the right of F. Only one person sits between B and D. C sits third to the left of D. A sits immediately to the right of C. E is not an immediate neighbor of A. G sits second to the left of H. Who sits opposite to G?

Check Solution

Ans: C

1. Start with a fixed reference point: B sits second to the right of F. 2. D is separated by one person from B. 3. C is three places to the left of D. 4. A is immediately to the right of C. 5. E is not next to A. 6. G is two to the left of H. From the above information the seating arrangement is as follows: H, B, E, F, G, D, C, A. Hence G sits opposite to E. But the option doesn’t contain E. Re-checking, it means the initial assumption of the arrangement is incorrect. Let’s reconstruct. F _ B _ D _ C A _ _ G _ _ H Hence the final arrangement will be: A, C, D, G, F, B, E, H. Thus G sits opposite to D.

Q.22 Direction (10-12): Study the following information carefully and answer the questions given below: Eight people A, B, C, D, E, F, G, and H are sitting around a circular table, not necessarily in the same order. Some are facing the center, and some are facing outside the center. (i) B sits third to the right of F, and both face the same direction. (ii) Only one person sits between B and H. (iii) A sits second to the left of H and both face opposite directions. (iv) E sits second to the right of A. (v) G sits third to the left of E and faces the center. (vi) D sits between G and C. (vii) The immediate neighbours of B face the same direction. How many people are facing outside the center?

Check Solution

Ans: B

Let’s denote facing the center as ‘I’ and facing outside as ‘O’. 1. From (i) and (ii): B and F face same direction. 2. From (iii): A and H face opposite direction. 3. From (v): G faces I. 4. From (vii): B’s neighbors face same direction. Using the given clues, we can derive the seating arrangement. If we assume B faces inside (I), then F also faces inside (I). E will face outside (O). Based on that we can determine the arrangement as: A(O), B(I), C(O), D(O), E(O), F(I), G(I), H(I).

Q.23 Six friends – P, Q, R, S, T, and U – are sitting around a circular table facing the center. P sits second to the right of Q. S is an immediate neighbor of both P and T. R is not an immediate neighbor of Q. Who sits second to the left of R?

Check Solution

Ans: B

Let’s analyze the information. P is second to the right of Q, so Q – – P. S is next to P and T, and R isn’t next to Q. Combining these facts, the only possibility is Q-U-R-T-P-S. Therefore, U sits second to the left of R.

Q.24 In a certain code ‘BLANKET’ is written as ‘CMBLOFC’. Then how would ‘HELMET’ be written in that code?

Check Solution

Ans: A

Each letter is shifted by one place forward in the alphabet. B becomes C, L becomes M, A becomes B, N becomes O, K becomes L, E becomes F, T becomes U.

Q.25 Given the words: CAR, SUN, HAT, PEN, BOX, ZIP If the letters in each of the given words are rearranged alphabetically, then how many words start with a vowel?

Check Solution

Ans: B

After rearranging alphabetically: CAR -> ACR SUN -> NSU HAT -> AHT PEN -> ENP BOX -> BOX ZIP -> IPZ Words starting with a vowel: HAT and PEN. Thus, two words.

Q.26 What is the price of a pen? Statements: The cost of 3 pens and 2 pencils is $7. The cost of 1 pen and 1 pencil is $3.

Check Solution

Ans: D

Both statements are needed to solve for the price of a pen. Let ‘p’ be the price of a pen and ‘c’ be the price of a pencil. From Statement I: 3p + 2c = 7 From Statement II: p + c = 3 We need both equations to solve for p.