Mathematics (2017) | Study Mode

Join Discuss Share to WhatsApp
Question 41
A

9

B

-9

C

6

D

-6

Explanation

x * y is an operation on 3x + 2y - 1

Find 3A - 1

x = 3, y = -1

3 * - 1 on 3x + 2y - 1

3(3) + 2(-1) -1

= 9 - 2 - 1

= 6


Correct option: C
Join Discuss Share to WhatsApp
Question 42
A

3-Feb

B

2-Jan

C

-1

D

3-Feb

Explanation

Gradient of line joining points (3, 2), (1, 4)

Gradient = \(\frac{\text{Change in Y}}{\text{Change in X}}\)

= \(\frac{y_2 - Y_1}{x_2 - x_1}\)

(X1, Y1) = (3, 2)

(X2, Y2) = (1, 4)

Gradient = \(\frac{4 - 2}{1 + 3}\)

= \(\frac{2}{-2}\)

= -1


Correct option: C
Join Discuss Share to WhatsApp
Question 43
A

4a

B

\(\frac{1}{8a}\)

C

8a

D

\(\frac{1}{4a}\)

Explanation

(3-64a3)\(^{-1}\)

\(\frac{1}{(3-64a^3)}\)

= \(\frac{1}{4a}\)


Correct option: D
Join Discuss Share to WhatsApp
Question 44
A

1, - 2

B

- 2, n = 1

C

\(\frac{-2}{5}\), 1

D

\(\frac{2}{3}\)

Explanation

\(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\)= m + n-6

\(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}\) x \(\frac{\sqrt{3} - 2 \sqrt{2}}{\sqrt{3} - \sqrt{2}}\)


\(\frac{2 \sqrt{3} (\sqrt{3} - 2 \sqrt{2}) - \sqrt{2}(\sqrt{3} - 2 \sqrt{2})}{\sqrt{3}(\sqrt{3} - 2 \sqrt{2}) + 2 \sqrt{2}(\sqrt{3} - 2 \sqrt{2})}\)

\(\frac{2 \times 3 - 4\sqrt{6} - 6 + 2 \times 2}{3 - 2 \sqrt{6} + 2 \sqrt{6} - 4 \times 2}\)

= \(\frac{6 - 4 \sqrt{6} - \sqrt{6} + 4}{3 - 8}\)

= \(\frac{0 - 4 \sqrt{6} - 6}{5}\)

= \(\frac{10 - 5 \sqrt{6}}{5}\)

= - 2 + -6

- m + n\(\sqrt{6}\) = - 2 + -6

m = - 2, n = 1


Correct option: B
Join Discuss Share to WhatsApp
Question 45
A

\(\frac{-5}{3}\)

B

\(\frac{-2}{3}\)

C

\(\frac{1}{2}\)

D

\(\frac{5}{2}\)

Explanation

\(\frac{1}{\alpha}\) + \(\frac{1}{\beta}\) = \(\frac{\beta -\alpha}{\alpha \beta}\)

3x2 + 5x + 5x - 2 = 0.

Sum of root = +

Product of root =

x2 + \(\frac{5x}{3}\) - \(\frac{2}{3}\) = 0

= - \(\frac{-2}{3}\)

+ = \(\frac{5}{3}\)

- \(\frac{\alpha + \beta}{\alpha \beta}\) = - \(\frac{\frac{5}{3}}{\frac{2}{3}}\)


= - \(\frac{2}{3}\) \(\times\) \(\frac{3}{3}\)

= \(\frac{5}{2}\)


Correct option: D
Join Discuss Share to WhatsApp
Question 46
A

1.03

B

0.07

C

0.03

D

1

Explanation

0.4, -0.4, 0.3, 0.47, -0.53, 0.2, -0.2

Range is the difference between the highest and lowest value

i.e Highest - Lowest

- 0.53, -0.4, -0.2, 0.2, 0.3, 0.4, 0.47

0.47 is the highest

- 0.53 is the lowest

- = 0.47 - (- 0.53)

-0.47 + 0.53

= 1.0


Correct option: D
Join Discuss Share to WhatsApp
Question 47
A

4

B

3

C

2\(\frac{2}{3}\)

D

3 \(\frac{2}{3}\)

Explanation

1 - (\(\frac{1}{5}\) + 1\(\frac{2}{3}\)) + (5 + 1\(\frac{2}{3}\))

1 - (\(\frac{1}{5}\) \(\times\) \(\frac{5}{3}\)) + (5 + \(\frac{5}{3}\))

1 - \(\frac{1}{3}\) + \(\frac{20}{3}\)

= \(\frac{22}{3}\)


Correct option: D
Join Discuss Share to WhatsApp
Question 48
A

4x3 - 8x2 + 5x + 3

B

-4x3 + 8x2 - 5x + 3

C

-4x3 - 8x2 + 5x + 3

D

4x3 + 8x2 - 5x + 3

Explanation

(2x2 - x + 1) \(\times\) (3 - 2x);

3(2x2 - x + 1) - 2x (2x2 - x + 1)

6x2 - 3x + 3 - 4x3 + 2x2 - 2x

-4x3 + 8x2 -5x + 3


Correct option: B

Try this quiz in in E-test/CBT Mode
switch to Mathematics (2017) in CBT Mode

Previous Page
Question Map
Quiz link
Share Mathematics (2017) with your audience
Share to WhatsApp CBT mode Study mode copy link
​​​Help keep QUIZZERWEB running! 
A donation makes a contribution towards the costs, the time and effort that's going on in building and improving this platform.
 
Donate
​​​sponsored
Are you a writer, proof-reader, interpreter, teacher, student or just someone who works in Yorùbá Language? 
 
Translate those figures and numbers to words in standard Yoruba Language at YorubaNumeral.com.ng at no cost. 
 
It also aids learning the yoruba numbering system by providing detailed explanation for each number translated up to 25 billion. 
 
English to Yorùbá Numeral Translator