TCS Digital Sample Aptitude Questions and Answers

Q1 In one nation 60% of male citizens and 70% of female citizens are entitled to vote. 70 percent of male electors voted and 60 percent of female people qualified to vote. Which fraction of people voted during the election?

Q2 Rohan’s brother was 34 years of age when he was born. His younger brother, Shashank, now that he is 13, is very proud of the fact that he is as tall as him, even though he is three years younger than him. Rohan’s sister, who is shorter than Rohan, was only 29 when Shashank was born. What is the sum of the ages of Rohan’s siblings now?

Q3 In this question x^Y stands for x raised to the power y. For example ,2^3 =8 and 4^1.5=8. If a,b are real numbers such that a+b=3, a^2 +b^2 =7, the value of a^4 +b^4 is?

Q4 A bolt connecting a mountain bike ‘s main and rear frame requires a 15Nm torque to tighten. If in any given direction you are able to apply 40N of force on a wrench, what is the minimum length of the wrench that will result in the required torque?

Q5 In function P(x,y) = 15y - (45x + 145780). What value indicates the increase in P that corresponds to an increase in y, when x is kept constant?

Q6 A Speaks Truth 40% of the time and B speaks Truth 60% of the time. The number of cases A and B are likely to contradict one another when the same statement is mentioned.

Q7 A bucket with mass m2 and a block with mass m1 are hung on a pulley system. Find the magnitude of the acceleration with which the bucket and the block are moving and the magnitude of the tension force T by which the rope is stressed. Ignore the masses of the pulley system and the rope. The bucket moves up and the block moves down.

Q8 Rajni has 50 red and 50 blue candies. She has two bowls with her. She has to distribute the candies in these two bowls in such a way that none of the bowls are left empty. If one were to choose one of the two bowls at random and them randomly draw a ball from it, the probability of the ball being red is maximized. After this distribution, What will be the maximized probability?

Q9 A train from Delhi to Indore has 5 stops in between. At each stop, half of the people will get down. After reaching Indore there are only 2 people left out. How many people were there on the train at the start?

Q10 There is a horse and a saddle. The sum of their cost is Rs. 1100. The cost of the horse is Rs. 1000 greater than the saddle. What is the cost of the saddle?

Q11 A 70 foot pole stands vertically in a horizontal plane supported by three 490 foot wires, all attached to the top of the pole, pulled up and anchored to three equally spaced points in the plane. How many feet apart are any two of those anchor points (measure along the circumference) ?

Q12 4 pipes can fill a tank in 8 days working 5 hours regularly. What will be the working hours when 2 pipes will fill a tank double in size of the previous one in 20 days?

Q13 From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

Q14 If f(x)=x^2b^2+y^2a^2=a^2b^2, what is the shape of f(x)?

Q15 The TCS NQT research was written by the Twin brothers Lava and Kusha. Though Lava scored 45 percent and got under the cut-off by 4 points. Kusha scored 60 percent, got eight marks above the cut-off and was chosen for the interview. What were the Test End Marks?

Q16 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 previous second. Algae, the good it cherishes, is at 3.mm distance from this snail. In how much time it will reach its food?

Q17 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?

Q18 A police car starts chasing a fugitive in a BMW 3 hours after the BMW escapes from the scene of crime at 10AM.The BMW drives for 10Km through the 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 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…..kmph

Q19 12 liters of water is poured into an aquarium of dimensions 50 cm length, 30 cm breadth, and 40 cm height. By what height (in cm) will the water rise?

Q20 A very crowded street in T.Nagar contains 100 buildings. The buildings are numbered from 1 to 100. How many 9’s are used by the Chennai Corporation in numbering these buildings?

Q21 We do not __________ the trouble she’s seen.

Q22 Identify the tense in the following sentences

Rohini has written a sequel appealing to the children of age between 8 to 16.

Q23 The family is sitting together and / are seeing / a cricket match / with great interest.

Q24 My friend Vishal requested me to lend him Rs. 2000 the next day.

Q25 Choose the correct synonym for Steadfast

Q26 Choose the correct synonym for irresolute

Q27 I remember a lady with a black heart who used to take other people’s life and play with it just like the rubber balls. So, my gratitude to her is the sort of (1) ______ [hat tip] one would feel for a tsunami if one is walking home late for dinner and it caught you up and deposited you on your doorstep.
Choose the option for the first blank.

Q28 I remember a lady with a black heart who used to take other people’s life and play with it just like the rubber balls. So, my gratitude to her is the sort of (1) ______ [hat tip] one would feel for a tsunami if one is walking home late for dinner and it caught you up and deposited you on your doorstep. Moreover, the lady Luthra is a human (2) _____[storm]. Basically not only this but, she’s more like an earthquake.
Choose the option for the second blank.

Q29 Gender equality is, first and foremost, a human right. A woman is entitled to live in dignity and in freedom from want and from fear. Empowering women is also an indispensable tool for advancing development and reducing poverty. Empowered women contribute to the health and productivity of whole families and communities and to improved prospects for the next generation. The importance of gender equality is underscored by its inclusion as one of the eight Millennium Development Goals. Gender equality is acknowledged as being a key to achieving the other seven goals. Yet discrimination against women and girls – including gender based violence, economic discrimination, reproductive health inequities, and harmful traditional practices – remains the most
pervasive and persistent form of inequality. Women and girls bear enormous hardship during and after humanitarian emergencies, especially armed conflicts. There have been several organisations and institutions advocating for women, promoting legal and policy reforms and gender-sensitive data collection, and supporting projects that improve women’s health and expand their choices in life. Despite many international agreements affirming their human rights, women are still much more likely than men to be poor and illiterate. They usually have less access than men to medical care, property ownership, credit, training and employment. They are far less likely than men to be politically active and far more likely to be victims of domestic violence. The ability of women to control their own fertility is absolutely fundamental to women’s empowerment and equality. When a woman can plan her family, she can plan the rest of her life. When she is healthy, she can be more productive. And when her reproductive rights — including the right to decide the number, timing and spacing of her children, and to make decisions regarding reproduction free of discrimination, coercion and violence — are promoted and protected, she has freedom to participate more fully and equally in society. Gender equality implies a society in which women and men enjoy the same opportunities, outcomes, rights and obligations in all spheres of life. Equality between men and women exists when both sexes are able to share equally in the distribution of power and influence; have equal opportunities for financial independence through work or through setting up businesses; enjoy equal access to education and the opportunity to develop personal ambitions. A critical aspect of promoting gender equality is the empowerment of women, with a focus on identifying and addressing power imbalances and giving women more autonomy to manage their own lives. Women’s empowerment is vital to sustainable development and the realization ofhuman rights for all. Where women’s status is low, family size tends to be large, which makes it more difficult for families to thrive.

Population and development and reproductive health programmes are more effective when they address the educational opportunities, status and empowerment of women. When women are empowered, whole families benefit, and these benefits often have ripple effects on future generations.


Question – How are women improving the prospects for the next generation?

Q30 Gender equality is, first and foremost, a human right. A woman is entitled to live in dignity and in freedom from want and from fear. Empowering women is also an indispensable tool for advancing development and reducing poverty. Empowered women contribute to the health and productivity of whole families and communities and to improved prospects for the next generation. The importance of gender equality is underscored by its inclusion as one of the eight Millennium Development Goals. Gender equality is acknowledged as being a key to achieving the other seven goals. Yet discrimination against women and girls – including gender based violence, economic discrimination, reproductive health inequities, and harmful traditional practices – remains the most
pervasive and persistent form of inequality. Women and girls bear enormous hardship during and after humanitarian emergencies, especially armed conflicts. There have been several organisations and institutions advocating for women, promoting legal and policy reforms and gender-sensitive data collection, and supporting projects that improve women’s health and expand their choices in life. Despite many international agreements affirming their human rights, women are still much more likely than men to be poor and illiterate. They usually have less access than men to medical care, property ownership, credit, training and employment. They are far less likely than men to be politically active and far more likely to be victims of domestic violence. The ability of women to control their own fertility is absolutely fundamental to women’s empowerment and equality. When a woman can plan her family, she can plan the rest of her life. When she is healthy, she can be more productive. And when her reproductive rights — including the right to decide the number, timing and spacing of her children, and to make decisions regarding reproduction free of discrimination, coercion and violence — are promoted and protected, she has freedom to participate more fully and equally in society. Gender equality implies a society in which women and men enjoy the same opportunities, outcomes, rights and obligations in all spheres of life. Equality between men and women exists when both sexes are able to share equally in the distribution of power and influence; have equal opportunities for financial independence through work or through setting up businesses; enjoy equal access to education and the opportunity to develop personal ambitions. A critical aspect of promoting gender equality is the empowerment of women, with a focus on identifying and addressing power imbalances and giving women more autonomy to manage their own lives. Women’s empowerment is vital to sustainable development and the realization ofhuman rights for all. Where women’s status is low, family size tends to be large, which makes it more difficult for families to thrive.

Population and development and reproductive health programmes are more effective when they address the educational opportunities, status and empowerment of women. When women are empowered, whole families benefit, and these benefits often have ripple effects on future generations.


Question – At which number does the goal of achieving gender equality come at?