NIMCET Practice Set 1

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is the symmetric difference A Δ B?

1. A.{1, 2, 5, 6}✓
2. B.{3, 4}
3. C.{1, 2, 3, 4, 5, 6}
4. D.{1, 2}

Correct answer: A

If set A has 3 elements and set B has 4 elements, how many elements does A × B have?

1. A.7
2. B.12✓
3. C.81
4. D.64

Correct answer: B

Which of the following is logically equivalent to the implication p → q?

1. A.¬p ∨ q✓
2. B.p ∧ ¬q
3. C.¬p ∧ q
4. D.p ∨ q

Correct answer: A

Box 1 has 3 red and 2 black balls; Box 2 has 2 red and 3 black balls. A box is chosen at random and a ball drawn from it turns out to be red. What is the probability that it came from Box 1?

1. A.3/5✓
2. B.2/5
3. C.1/2
4. D.3/4

Correct answer: A

Two independent events A and B have P(A) = 0.4 and P(B) = 0.5. What is P(A ∪ B)?

1. A.0.9
2. B.0.2
3. C.0.7✓
4. D.0.5

Correct answer: C

For the data set 2, 4, 4, 4, 5, 5, 7, 9, what is the mode?

1. A.4✓
2. B.5
3. C.9
4. D.4.5

Correct answer: A

If the roots of x² − 5x + k = 0 are in the ratio 2:3, find the value of k.

1. A.6✓
2. B.5
3. C.4
4. D.9

Correct answer: A

What is the value of log₂(32)?

1. A.4
2. B.5✓
3. C.6
4. D.16

Correct answer: B

The 10th term of an AP whose first term is 3 and common difference is 4 is:

1. A.39✓
2. B.37
3. C.43
4. D.35

Correct answer: A

A committee of 4 people is to be selected from 6 men and 5 women such that at least 2 women are included. In how many ways can this be done?

1. A.215✓
2. B.330
3. C.300
4. D.165

Correct answer: A

If A is a 3×3 matrix with |A| = 5, what is |2A|?

1. A.10
2. B.40✓
3. C.15
4. D.20

Correct answer: B

Evaluate: lim(x→0) (sin 3x)/x

1. A.1
2. B.3✓
3. C.0
4. D.1/3

Correct answer: B

Pointing to a photograph, a man said, "She is the daughter of my grandfather's only son." How is the woman in the photograph related to the man?

1. A.Sister✓
2. B.Mother
3. C.Aunt
4. D.Daughter

Correct answer: A

In a certain code, 'CAT' is written as 'DBU'. How is 'DOG' written in that code?

1. A.EPH✓
2. B.EPI
3. C.FQH
4. D.EQH

Correct answer: A

Statements: All pens are pencils. All pencils are erasers. Conclusions: I. All pens are erasers. II. Some erasers are pens.

1. A.Only I follows
2. B.Only II follows
3. C.Both I and II follow✓
4. D.Neither I nor II follows

Correct answer: C

Find the next term in the series: 2, 5, 10, 17, 26, ?

1. A.35
2. B.36
3. C.37✓
4. D.38

Correct answer: C

Five friends A, B, C, D, E sit in a row facing north. A is immediately to the left of B. B sits second from the left end. C is at the right end. D is between C and E. Who sits at the left end?

1. A.A✓
2. B.B
3. C.C
4. D.D

Correct answer: A

In a survey of 250 students, 60% like Maths, 40% like Science, and 20% like both. How many students like only Maths?

1. A.100✓
2. B.150
3. C.50
4. D.120

Correct answer: A

Which register holds the address of the next instruction to be executed?

1. A.Accumulator
2. B.Program Counter✓
3. C.Instruction Register
4. D.Stack Pointer

Correct answer: B

Which of the following is a non-volatile memory?

1. A.RAM
2. B.Cache
3. C.ROM✓
4. D.Register

Correct answer: C

The decimal number 45 is represented in binary as:

1. A.101101✓
2. B.101100
3. C.110101
4. D.101110

Correct answer: A

The hexadecimal equivalent of the binary number 11010110 is:

1. A.D6✓
2. B.C6
3. C.D5
4. D.E6

Correct answer: A

In the IEEE 754 single-precision floating-point format, how many bits are allocated to the exponent?

1. A.23
2. B.8✓
3. C.11
4. D.7

Correct answer: B

The Boolean expression A + A'B is equivalent to:

1. A.A + B✓
2. B.AB
3. C.A'B
4. D.A

Correct answer: A

What does the C expression sizeof(char) always evaluate to on a standard compiler?

1. A.1✓
2. B.2
3. C.4
4. D.It depends on the platform

Correct answer: A

In a time-sharing operating system, the fixed time given to each process before it is preempted is called:

1. A.Quantum✓
2. B.Burst time
3. C.Turnaround time
4. D.Context

Correct answer: A

Read the passage: "The rapid adoption of cloud computing has transformed how organizations manage data, shifting costs from capital expenditure to operational expenditure." According to the passage, cloud computing primarily shifts organizational costs from:

1. A.Operational to capital expenditure
2. B.Capital to operational expenditure✓
3. C.Fixed to variable revenue
4. D.Revenue to profit

Correct answer: B

Choose the synonym of "Meticulous":

1. A.Careless
2. B.Precise✓
3. C.Hasty
4. D.Vague

Correct answer: B

Choose the correct preposition: "She is good ___ mathematics."

1. A.in
2. B.at✓
3. C.on
4. D.with

Correct answer: B

Which phrase best defines "a priori" as used in technical and academic writing?

1. A.Based on prior theoretical deduction rather than observation✓
2. B.Based on experimental data collected afterward
3. C.A synonym for "in conclusion"
4. D.A statistical error term

Correct answer: A