The value of ((2 * 7)^3 - (2 * 2)^3)/((2 * 7)^2 + 2 * 7 x 2 * 2 + (2 * 2)^2) is Option 1: 4.9 Option 2: 0.5 Option 3: 0.05 Option 4: 0.49

Answer: 0.5. Solution: Using the algebraic identity (a^3 - b^3)/(a^2 + ab + b^2) = a - b. Here a = 2.7 and b = 2.2. So the expression equals 2.7 - 2.2 = 0.5.

Quantitative Reasoning

Number System

Medium

The value of $\frac{(2 \cdot 7)^3 - (2 \cdot 2)^3}{(2 \cdot 7)^2 + 2 \cdot 7 \times 2 \cdot 2 + (2 \cdot 2)^2}$ is

4.9

0.5

0.05

0.49

✅ Correct Option: 2

Using the algebraic identity $\frac{a^3 - b^3}{a^2 + ab + b^2} = a - b$ .

Here $a = 2.7$ and $b = 2.2$ .

So the expression equals $2.7 - 2.2 = 0.5$ .

2026: 24 May Shift 1

Which of the following statements is/are correct about irrational numbers?

(A) The sum of two rational numbers is always irrational.

(B) $\pi$ is an irrational number.

(D) The value of $\sqrt{5}$ is an irrational number.

Choose the correct answer from the options given below:

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The difference between the squares of two consecutive even integers will always be divisible by which of the following?

(A) 2

(B) 3

(D) 5

Choose the correct answer from the options given below:

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2025: 23 May Shift 1

If x and y are negative integers, then which of the following statements is/are always true?

(A) x + y is positive integer.

(B) xy is positive integer.

Choose the correct answer from the options given below:

The value of (2⋅7)3−(2⋅2)3(2⋅7)2+2⋅7×2⋅2+(2⋅2)2\frac{(2 \cdot 7)^3 - (2 \cdot 2)^3}{(2 \cdot 7)^2 + 2 \cdot 7 \times 2 \cdot 2 + (2 \cdot 2)^2}(2⋅7)2+2⋅7×2⋅2+(2⋅2)2(2⋅7)3−(2⋅2)3​ is

Solution

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CUET General Test Past Year Questions (Topic-Wise)

The value of $\frac{(2 \cdot 7)^3 - (2 \cdot 2)^3}{(2 \cdot 7)^2 + 2 \cdot 7 \times 2 \cdot 2 + (2 \cdot 2)^2}$ is