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Algebra Model Test

**Algebra Quiz** enhances your knowledge and skills about algebra. You will have **10** minutes to complete the quiz and if you do not answer any question within the specified time, it will be considered incorrect. You need to get a minimum of **50%** marks to pass the quiz. Press the "**Start Quiz**" button to participate in the quiz.

1 / 15

(7 × 4)^{2 }=?

2 / 15

If a, b ϵ R and n ϵ N, then (a/b)^{ n}=?

^{n}/b

^{n}

^{n}- b

^{n}

^{n}+ b

^{n}

^{n}× b

^{n}

3 / 15

If m, n and p are positive numbers and n ≠ 1, p ≠ 1, then; Log_{n}m =?

_{p}m/log

_{p}n

_{a}m

_{a}m - log

_{a}n

_{m}n

4 / 15

Solve the system of equation. Use the elimination method.

5x - 4y = 6

x + 2y = 4

5 / 15

Write the interval notation for: x < 0

6 / 15

Let, A = {2, 3, 4, 5}; B = {2, 4, 5}; and C = {1, 2, 3, 4, 5, 6, 7}. Then –

7 / 15

If number of elements a set is n, then it has _____________ subsets.

^{n – 1}

^{n + 1}

^{n}

^{-n}

8 / 15

Which of the following is the inverse function of f (x) = 3x - 6?

9 / 15

The real part of a complex number 2 - 3i is -

10 / 15

Find the value of x and the value of y if (x + iy)(2 + i) = 3 - i such that x ∈ R, y ∈ R.

11 / 15

In an arithmetic series, if the first term is a and the common difference is d, then the n** ^{th}** term of the series -

12 / 15

If any term is divided by its antecedent term, the quotient is always equal, and the series is called -

13 / 15

If 5 + x + y + 135 is a geometric series, determine the value of x and y.

14 / 15

A bag contains 4 red, 5 white, and 2 black balls. Two balls are drawn at random. What is the probability that none of the balls drawn is black?

15 / 15

What is the probability that an event will happen for sure?

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The average score is 73%