TCS NQT Sample Aptitude Questions and Answers

Q1 If f(x)=x^2, what is the shape of f(x)?

Q2 A racehorse starts chasing a wild pony 2 hours after the pony bolts the stable. The racehorse finally catches up with the pony after 3 hours. If the average speed of the racehorse is 49 km/h, then the average speed of the wild pony is

Q3 Twin brothers Luva and Kusha wrote the TCS NQT test. While Luva scored 45% and got 4 marks below the cut-off. Kusha scored 60% and got 8 marks above cut-off and got selected for the interview. What was the maximum marks in the test?

Q4 We live and work in a time of rapidly advancing technology. A social media startup is doubling the number of users each week. It took just 47 weeks to acquire a million users. How long did it take to acquire half-a-million users?

Q5 The kids Phalaa and Adhiphalaa (don’t confuse with Balaa and Adhibalaa, the abracadabra that sage Vishwamitra taught to Raama and Lakshmana to successfully stay the demoness Taadaka) carry some fruits. Being tender and small, each could carry only a single-digit number of fruits. Adhiphalaa has three times the fruits that Phalaa has. If the digits corresponding to Phalaa’s and Adhiphalaa’s fruits are written in that order, the resulting two-digit number is a multiple of three. How many fruits does Adhiphalaa have?

Q6 Rajesh has Rs. 850 in his purse made up entirely of notes of Rs. 50 denomination. His wife Latha, on the other hand, has only notes of Rs. 20 denomination in her purse and they amount to Rs. 460. Rajesh and Latha redistribute the notes between the two purses so that if one were to choose one of the two purses at random and then randomly draw a note from it, the probability of the note being of Rs. 50 denomination is maximized. After this redistribution, there will be a total of Rs. in the purse with the larger amount of money.

Q7 Sura, a strongly distilled alcoholic drink was used in ancient India as an anesthetic by surgeons. A 15 liters cask initially contains pure Sura up to the brim. The Sura is diluted by removing 5 liters and replacing that quantity with water. If Sura is diluted twice, what is the ration of Sura to water in the cask?

Q8 The speed of a common snail is about 1 mm per second. It secretes a bit of mucus that coats the ground beneath and helps it to move along. This snail we are interested in now has a problem with this secretion and so it moves one mm in the first second and in the subsequent seconds it moves only half the distance covered in the prey second. Algae, the good it cherishes, is at 3 metres distance from this snail. In how much time it will reach its food?

Q9 The muzzle velocity of a bullet in 5.56 INSAS rifle (Indian version of AK47) is 882 meters/sec. A sergeant holds this rifle facing the sky and shoots a bullet. What's the bullet’s maximum reachable altitude? Assume g = 9.8 m/sec/sec, Write your answer as numeral without any other character.

Q10 Ahilyanagari Express running at a speed of 60 kmph and Cholan Express at 120 kmph take 10 seconds to cross each other, when they are running in opposite directions (these two trains operate in the same route only as a mathematical fantasy and not in reality). If Cholan express is 120 meters longer than Ahilyanagari Express, what’s the length in meters of the latter?

Q11 A police car starts chasing a fugitive in a BMW 3 hours after the BMW escapes from the scene of crime at 10 AM. The BMW drives for 10 km through crowded roads of Shanghai and then drives into a highway, where the traffic allows vehicles to move twice as fast. After a while, the police car finally catches up with the BMW after a chase that lasted 4 hours. By this time the moon was up in the sky for 4 hours. If the average speed of the police car is 83 kmph, then the average speed of the BMW is

Q12 A semicircle is drawn on one of the sides of the square with the side of the square as the diameter of the circle. If the length of the side of the square is 2 cm. What is the radius of the smallest cIrcle that can contain this figure?

Q13 Bhaskar and Shakuntala challenge each other in math and are at loggerheads always. At the end of a milestone in their project, the team had dinner and were seated in a circular table. If there were 16 people for dinner, what are the odds against the event that Bhaskar and Shakuntala will sit together

Q14 The expression 3(x^2)-mx+10 leaves a remainder of -2 when divided by X-3. What’s the value of m?

Q15 12 liters of water is poured into an aquarium of dimensions 50 cm length, 30 cm breadth and 40 cm height. By what height will the water rise?

Q16 A milkman has an 80-liter mixture of milk and water which has 20% of water. The milkman sold some mixture and added 8 liters of water to the remaining mixture. Now the ratio of the milk and water is 12:5. Find the sold mixture.

Q17 A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the river current in km/hr.

Q18 A container contained 160L of Apple Juice. From this container 16L of Juice was taken out and replaced by water. This 3 process was further repeated two times. How much Juice is now contained in the container?

Q19 The speed of a train is 54 km/hr without stoppage and 45 km/hr with stoppage. Find how much time in an hour the train stops.

Q20 A and B together can do a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. The number of days, all of them working together take to complete the work, is

Q21 40% of Aman’s annual salary is equal to 15% of Bablu’s annual salary. Aman’s salary of 3 months is equal to Chintu’s salary of 2 months. What is the ratio of Aman, Bablu, and Chintu’s salary?

Q22 Salman went from Delhi to Jaipur with a speed of 60km/hr. and returned back with the speed of 90km/hr. Find the average speed.

Q23 If the boat goes 7 kms upstream in 42 min and the speed of the stream is 3 kmph, then the speed of the boat in still water?

Q24 Two taps can fill a tank in 4 hours and 5 hours respectively. Both the taps are opened alternately for 1 hour, starting with the first. How much time will it take to get to the tank?

Q25 A gardener had several shrubs to plant in rows. At first, he tried to plant 8, then 12, and then 16 in a row but he always had 3 shrubs left with him. On trying 7 shrubs he was left with none. Find the total number of shrubs.

Q26 There are seven consecutive positive even numbers. The average of the square of the first and the last number is 712. Find the 2nd largest number.

Q27 Select the combination of numbers so that the letters arranged accordingly will form a meaningful word.

Q28 Find the number which can replace the Question Mark:
6,30,68, 3130,?

Q29 Pointing to a photograph, a man said, "I have no brother or sister but that man’s father is my father’s son." Whose photograph was it?

Q30 If EXTENSION is coded as ONDUXISEX in some language, then assuming the same pattern to follow MATRIMONIAL will be coded as?