Some must solve TCS Aptitude Questions

Some must solve TCS Aptitude Questions

Must-Solve TCS Aptitude Questions | Practice & Solutions

Quantitative aptitude questions play a crucial role in competitive exams and campus placements. Here, we provide a set of frequently asked quantitative questions, along with their answers and explanations.


1. Mixing Solutions

Question:

How many liters of a 90% concentrated acid need to be mixed with a 75% solution of concentrated acid to get a 30-liter solution of 78% concentrated acid?

Options: a) 3 b) 4 c) 6 d) 10

Answer: 6 liters

Solution: Using the alligation method:

xx+y×90+yx+y×75=78\frac{x}{x + y} \times 90 + \frac{y}{x + y} \times 75 = 78

Let x be the quantity of 90% acid and y be the quantity of 75% acid. Given total solution is 30 liters:

x+y=30x + y = 30

Solving, x = 6 liters.


2. Polynomial Function Evaluation

Question:

If f(x)=ax4−bx2+x+5f(x) = ax^4 – bx^2 + x + 5 and f(−3)=2f(-3) = 2, then f(3)f(3) = ?

Options: a) 1 b) -2 c) 3 d) 8

Answer: 8

Solution: Since f(x) is symmetric (even function except for x), f(−3)=f(3)f(-3) = f(3). Hence, f(3)=2f(3) = 2.


3. Average and Sum Relationship

Question:

Of a set of 30 numbers, the average of the first 10 numbers is equal to the average of the last 20 numbers. Then, the sum of the last 20 numbers is?

Options: a) Cannot be determined. b) 2 ×\times sum of last ten numbers c) 2 ×\times sum of first ten numbers d) sum of first ten numbers

Answer: 2 ×\times sum of first ten numbers

Solution: Since averages are the same: S1010=S2020\frac{S_{10}}{10} = \frac{S_{20}}{20} S20=2S10S_{20} = 2S_{10}


4. Chocolates and Students

Question:

A play school has chocolates sufficient for 50 students for 30 days. For the first ten days, only 20 students were present. How many more students can be accommodated so that chocolates last for exactly 30 days?

Options: a) 45 b) 60 c) 55 d) 70

Answer: 45

Solution: Using the formula: (50×30)−(20×10)=(50+x)×20(50 \times 30) – (20 \times 10) = (50 + x) \times 20 Solving for x gives 45 students.


5. Cart Wheel Revolutions

Question:

The circumference of the front wheel of a cart is 133 uneves and that of the back wheel is 190 uneves. What is the distance traveled when the front wheel has done nine more revolutions than the rear wheel?

Options: a) 570 b) 1330 c) 3990 d) 399

Answer: 3990 uneves

Solution: Using relative revolutions and LCM approach, distance covered is 3990 uneves.


6. Circular Arrangements

Question:

There are 20 people sitting in a circle, including 18 men and 2 sisters. How many arrangements are possible where the two sisters are always separated by at least one man?

Options: a) 18! ×\times 2 b) 17! c) 17 ×\times 2! d) 12

Answer: 18! ×\times 2

Solution: Total circular arrangements = 18!×218! \times 2.


7. Number Plate Combinations

Question:

A number plate consists of two alphabets followed by two digits, with no repetition. How many possible combinations exist?

Options: a) 58500 b) 67600 c) 65000 d) 64320

Answer: 58500

Solution: Total choices = 26×25×10×9=5850026 \times 25 \times 10 \times 9 = 58500.


8. Work and Time

Question:

A alone can complete 1/4th of a task in 2 days. B alone can do 2/3rd of the task in 4 days. If all three work together, they finish in 3 days. What fraction of the work does C complete in 2 days?

Options: a) 1/12 b) 1/8 c) 1/16 d) 1/20

Answer: 1/12

Solution: Using work rates and summing contributions, we find C’s share in 2 days = 1/12.


9. Prime Numbers Condition

Question:

How many prime numbers exist between 3 and 100 satisfying the form 4x+15y−14x + 15y – 1?

Options: a) 4 b) 11 c) 12 d) 7 e) None of the above

Answer: None of the above

Solution: Testing prime numbers, none satisfy this form.


10. Wages Distribution

Question:

Babla alone completes a task in 10 days, while Ashu does it in 15 days. The total wage for the task is Rs.5000. How much should Babla be paid if they work together for the entire duration?

Options: a) 2000 b) 4000 c) 5000 d) 3000

Answer: 3000

Solution: Using work-time ratio, Babla’s share = Rs.3000.


Conclusion

Practicing quantitative aptitude questions strengthens problem-solving skills for competitive exams. Mastering these topics ensures better performance in campus placements and aptitude tests.

Must-Solve TCS Aptitude Questions | Practice & Solutions

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