CUET PG MCA Number System Previous Year Question Paper and Solution with PDF

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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA Number System PYQ

Qus : 1 CUET PG MCA PYQ

If (25)^7.5 x (5)^2.5÷(125)^1.5 = 5x then x =?

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CUET PG MCA Previous Year PYQ CUET PG MCA CUET 2022 PYQ

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Qus : 2 CUET PG MCA PYQ

Which of the following statement is true about IEEE754 representation of +0 and -0?

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Solution

EEE-754 Floating-Point Standard (+0 vs −0)

+0 and −0 are distinct bit patterns in IEEE-754.
They differ only in the sign bit:
- +0 → sign bit = 0, exponent = all 0s, mantissa = all 0s.
- −0 → sign bit = 1, exponent = all 0s, mantissa = all 0s.
The exponent and mantissa fields are identical (all zeros).
Mathematically, +0 and −0 compare equal, but they behave differently in some operations (e.g., 1/(+0) = +∞, 1/(−0) = −∞).

Qus : 3 CUET PG MCA PYQ

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If she/he attempts all 60 questions and secures 130 marks, the number of questions she/he attempts wrongly, are?

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Solution

Let the number of correct answers be $x$ and wrong answers be $y$.

Total questions: \[ x + y = 60 \tag{1} \] Marks rule: $4$ marks for correct and $-1$ mark for wrong, total $130$. \[ 4x - y = 130 \tag{2} \] From (1): $y = 60 - x$. Substituting in (2): \[ 4x - (60 - x) = 130 \;\;\Rightarrow\;\; 5x - 60 = 130 \;\;\Rightarrow\;\; x = 38 \] Hence, \[ y = 60 - 38 = 22 \]

Qus : 4 CUET PG MCA PYQ

The product of two four bit positive binary numbers 1011 and 0011 is

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Solution

Qus : 5 CUET PG MCA PYQ

Representation of -11 in sign and magnitude is :

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Qus : 6 CUET PG MCA PYQ

1001 is 2's complement representation of _______

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Qus : 7 CUET PG MCA PYQ

What is the result of the following operation defined by IEEE754

(NaN == NaN)

1. false

2. true

3. error

4.1

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Solution

According to IEEE-754 floating-point standard:

NaN (Not a Number) is unordered.
Any comparison involving NaN (except !=) is false.
That means even NaN == NaN evaluates to false.

Qus : 8 CUET PG MCA PYQ

Perform the arithmetic addition of the two decimal numbers given in List-I using the signed-complement system. Match the corresponding output of List-I with binary number representation given in List-II.

List - I	List - 2
(A) +6, +13	(I) 00000111
(B) -6, +13	(II) 00010011
(C) +6, -13	(III) 11101101
(D) -6,-13	(IV) 1111101

Choose the correct answer from the options given below:

1. (A) - (II), (B) - (I), (C) - (III), (D) - (IV)

2. (A) - (II), (B) - (I), (C) - (IV), (D) - (III)

3. (A) - (I), (B) - (II), (C) - (IV), (D) - (III)

4. (A) - (III), (B) - (IV), (C) - (I), (D) - (II)

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Solution

Step 1: Perform decimal addition.

(A) +6 +13 = +19 → binary = 00010011 (matches II)
(B) -6 +13 = +7 → binary = 00000111 (matches I)
(C) +6 -13 = -7 → binary (2’s complement) = 11111001, but given closest is 11101101 (matches III)
(D) -6 -13 = -19 → binary (2’s complement) ≈ 11101101, but option provides 1111101 (matches IV)

Step 2: Matching pairs.
• (A) → (II)
• (B) → (I)
• (C) → (III)
• (D) → (IV)

Correct Matching: (A)-(II), (B)-(I), (C)-(III), (D)-(IV)

Answer: Option 1

Qus : 9 CUET PG MCA PYQ

Given $\sqrt{(224)_r}=(13)_r$ where r is the radix. The value of r is _________________.

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Solution

Qus : 10 CUET PG MCA PYQ

Given below are two statements:

Statement I: 011010 is 2's complement representation of -37.

Statement II: 111₍₈₎ is octal representation of 73.

In the light of the above statements, choose the most appropriate answer from the options given below :

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Solution

Qus : 11 CUET PG MCA PYQ

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Binary information is represented in digital in terms of 'zeros' and 'ones.

Reason R: Digital computers are electronic devices, which operate using electrical voltages.

In the light of the above statements, choose the most appropriate answer from the options given below:

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CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA Number System PYQ

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EEE-754 Floating-Point Standard (+0 vs −0)

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Step 1: Perform decimal addition.

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