TANCET MCA Practice Set 1

Solve the inequality: x² − 4 > 0

1. A.x > 2 or x < −2✓
2. B.−2 < x < 2
3. C.x > 2 only
4. D.x < −2 only

Correct answer: A

25% of 200 is:

1. A.40
2. B.50✓
3. C.45
4. D.60

Correct answer: B

An article is bought for ₹800 and sold for ₹960. What is the profit percentage?

1. A.15%
2. B.20%✓
3. C.25%
4. D.18%

Correct answer: B

A train travels 300 km in 5 hours. What is its speed in km/h?

1. A.50
2. B.60✓
3. C.55
4. D.65

Correct answer: B

How many ways can a committee of 3 be chosen from 7 people?

1. A.21
2. B.35✓
3. C.42
4. D.28

Correct answer: B

Find dy/dx if y = x² sin(x).

1. A.2x sin x + x² cos x✓
2. B.2x cos x
3. C.x² cos x
4. D.2x sin x − x² cos x

Correct answer: A

Solve the differential equation dy/dx = y, given y(0) = 1.

1. A.y = e^x✓
2. B.y = x + 1
3. C.y = e^{-x}
4. D.y = x²

Correct answer: A

The slope of the line 3x + 4y = 12 is:

1. A.3/4
2. B.−3/4✓
3. C.4/3
4. D.−4/3

Correct answer: B

If P(A) = 0.6, P(B) = 0.5, and P(A ∩ B) = 0.3, what is P(A|B)?

1. A.0.5
2. B.0.6✓
3. C.0.3
4. D.0.8

Correct answer: B

Six friends sit around a circular table facing the centre. A is immediately to the right of B, and immediately to the left of C. If B and C are not adjacent to each other, how many people sit between B and C going through A?

1. A.1✓
2. B.2
3. C.3
4. D.0

Correct answer: A

If 'A' is the brother of 'B', and 'B' is the daughter of 'C', how is 'A' related to 'C'?

1. A.Son✓
2. B.Daughter
3. C.Father
4. D.Nephew

Correct answer: A

A bar graph shows quarterly sales (in units): Q1 = 200, Q2 = 250, Q3 = 180, Q4 = 270. What is the average quarterly sales?

1. A.220
2. B.225✓
3. C.230
4. D.200

Correct answer: B

Statements: No cats are dogs. All dogs are animals. Conclusion: Some animals are not cats.

1. A.Conclusion follows✓
2. B.Conclusion does not follow
3. C.Cannot be determined
4. D.Conclusion is always false

Correct answer: A

Book is to Read as Knife is to:

1. A.Sharp
2. B.Cut✓
3. C.Kitchen
4. D.Metal

Correct answer: B

Statement: "The company should invest more in employee training to improve productivity." Which of the following is an implicit assumption?

1. A.Employee training has no effect on productivity
2. B.Increased training leads to improved productivity✓
3. C.The company currently has no training programs
4. D.Productivity is solely determined by employee count

Correct answer: B

The basic cycle of instruction execution in a CPU is:

1. A.Fetch-Decode-Execute✓
2. B.Store-Fetch-Execute
3. C.Decode-Fetch-Store
4. D.Execute-Fetch-Decode

Correct answer: A

Which number system uses base 16?

1. A.Binary
2. B.Octal
3. C.Decimal
4. D.Hexadecimal✓

Correct answer: D

In the memory hierarchy, arranged from fastest/smallest to slowest/largest, which is the correct order?

1. A.Registers → Cache → Main Memory → Secondary Storage✓
2. B.Cache → Registers → Main Memory → Secondary Storage
3. C.Main Memory → Cache → Registers → Secondary Storage
4. D.Registers → Main Memory → Cache → Secondary Storage

Correct answer: A

Which of the following correctly declares a pointer to an integer in C?

1. A.int ptr;
2. B.int *ptr;✓
3. C.pointer int ptr;
4. D.int &ptr;

Correct answer: B

Which data structure is used to implement recursion internally?

1. A.Queue
2. B.Stack✓
3. C.Array
4. D.Linked List

Correct answer: B

In a binary tree, a node with no children is called a:

1. A.Root
2. B.Leaf✓
3. C.Internal node
4. D.Sibling

Correct answer: B

What is the time complexity of binary search on a sorted array of n elements?

1. A.O(n)
2. B.O(n log n)
3. C.O(log n)✓
4. D.O(1)

Correct answer: C

Which of the following best describes "thrashing" in an operating system?

1. A.A state where the CPU spends most of its time swapping pages rather than executing processes✓
2. B.A technique to speed up process scheduling
3. C.A method to reduce memory fragmentation
4. D.A deadlock detection algorithm

Correct answer: A

Which SQL clause is used to filter groups after aggregation?

1. A.WHERE
2. B.HAVING✓
3. C.GROUP BY
4. D.ORDER BY

Correct answer: B

Read the passage: "Artificial intelligence is increasingly used in healthcare to assist in diagnosis, though experts caution that human oversight remains essential." What caution do experts raise about AI in healthcare?

1. A.AI should replace doctors entirely
2. B.Human oversight remains essential✓
3. C.AI is too expensive to implement
4. D.AI cannot be used in diagnosis

Correct answer: B

Choose the correct form: "By this time next year, she ___ her degree."

1. A.will complete
2. B.will have completed✓
3. C.completes
4. D.is completing

Correct answer: B

Choose the correct meaning of "Candid":

1. A.Deceptive
2. B.Frank and honest✓
3. C.Colorful
4. D.Cautious

Correct answer: B

Arrange the sentences in logical order: P: Then he began to write his thesis. Q: He completed his research first. R: Finally, he submitted it for review. S: After months of writing, he revised it thoroughly.

1. A.Q-P-S-R✓
2. B.P-Q-R-S
3. C.Q-R-P-S
4. D.P-Q-S-R

Correct answer: A

Read the passage: "Microfinance institutions provide small loans to entrepreneurs who lack access to traditional banking, fostering grassroots economic development." Who primarily benefits from microfinance institutions, as described?

1. A.Large corporations
2. B.Entrepreneurs without access to traditional banking✓
3. C.Government agencies
4. D.Foreign investors

Correct answer: B

Identify the correct sentence:

1. A.Neither the farmers nor the inspector were present.
2. B.The data shows that crop yields has increased.
3. C.Each of the students was given their assignment.✓
4. D.The committee have reached their decision yesterday.

Correct answer: C