NAT Quantitative Reasoning MCQs

Corresponding angles between parallel lines are equal.
Therefore, the other angle is also 110°.

When multiplying powers with the same base, add the exponents.
Thus, a³ × a⁵ = a⁸.

When dividing powers with the same base, subtract the exponents.
Thus, x⁷ ÷ x³ = x⁴.

Square the coefficient and multiply the exponent by 2.
This gives 2²a⁶ = 4a⁶.

An exponent of 1/2 represents a square root.
Thus, 16^(1/2) = √16 = 4.

Since 32 = 2⁵, the exponents must be equal.
Therefore, x = 5.

The logarithm asks what power of 10 gives 1,000.
Since 10³ = 1,000, the answer is 3.

The logarithmic equation means x = 2⁶.
Thus, x = 64.

The common difference is 4.
Adding 4 to 19 gives 23.

The nth term is a + (n - 1)d.
Thus, 3 + 9 × 4 = 39.

Each term is multiplied by 2.
Thus, 24 × 2 = 48.

The common ratio is 3, so a₆ = 2 × 3⁵.
This equals 2 × 243 = 486.