Number System Actual Question in CUET 2022 Slot 2

Q1.

EXPLANATION

Q2. Which one of the following is the common factor of (47⁴³ +43⁴³) and (47⁴⁷+43⁴⁷)? 

(1) (47 – 43)

(2) (47¹³ + 43⁴³)

(3) (47 + 43)

(4) None of these

(1) 1

(2) 2

(3) 3

(4) 4

EXPLANATION

When n is odd, (xⁿ + aⁿ) is always divisible by (x + a).
∴ Each one of (47⁴³ + 43⁴³) and (47⁴⁷ + 43⁴⁷) is divisible by (47 + 43)

Q3. If 2 ^{(2n – 1)} = 1 / (8 ^{(n – 3)}) then the value of n is:

(1) 3

(2) -2

(3) 0

(4) 2

(1) 1

(2) 2

(3) 3

(4) 4

EXPLANATION

Option 4

The given equation is : 

Since 

So ,  

Also,    [Properties of exponent.]

So our expression will become

Also,    [Properties of exponent.]

So , our expression will become

       []

So , the value of n is 2 .

Q4.

(1) 0.01027

(2) 0.10127

(3) 101.00027

(4)101.000027

(1) 1

(2) 2

(3) 3

(4) 4

EXPLANATION

Q5. If x and y are integers and x-y is odd, which of the following must be true?

A. xy is even,

B. x ^ 2 + y ^ 2 * isodd

C. (x + y) ^ 2 is even

Choose the correct answer from the options given below:

(1) A, B and C only

(2) A and B only

(3) A only

(1) B only

(1) 1

(2) 2

(3) 3

(4) 4

EXPLANATION

Option 2

Q6. Which of the following is/are an irrational number/numbers?

(1) 0.3333

(2) √121

(3) √2

(4) 0.625

EXPLANATION

An irrational number is a number that cannot be expressed as a fraction of two integers and its decimal representation goes on forever without repeating.

Therefore answer is 3