Algebra Model Test - Prottoy Math

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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=?

784

764

684

847

2 / 15

If a, b ϵ R and n ϵ N, then (a/b)ⁿ=?

aⁿ/bⁿ

aⁿ- bⁿ

aⁿ+ bⁿ

aⁿ × bⁿ

3 / 15

If m, n and p are positive numbers and n ≠ 1, p ≠ 1, then; Log_nm =?

log_p m/log_pn

r log_am

log_am - log_an

1/log_mn

4 / 15

Solve the system of equation. Use the elimination method.
5x - 4y = 6
x + 2y = 4

(1, 2)

(2, 2)

(2, 1)

(2, 3)

5 / 15

Write the interval notation for: x < 0

(-1, 0)

(0, ∞)

(0, -0

(-∞, 0)

6 / 15

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

A ⊂ B

C ⊂ B

B ⊂ C

B ⊆ C

7 / 15

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

2^{n – 1}

2^{n + 1}

2ⁿ

2^-n

8 / 15

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

$\frac{y - 3}{6}$

$3x -6$

$\frac{3y - 6}{2}$

$\frac{y - 6}{3}$

9 / 15

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

-3i

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.

1, -1

2, -1

-1, 2

-1, 0

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 -

a + (n + 1)d

a + (n - 1)d

a - (n - 1)d

a + nd

12 / 15

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

Harmonic Series

Geometric Series

Fibonacci Series

Arithmetic Series

13 / 15

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

x = 15, y = 15

x = 15, y = 45

x = 25, y = 45

x = 15, y = 25

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?

11/21

19/55

36/55

10/21

15 / 15

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

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