Mathematics | Study Mode

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Question 1
A
1.7 x 103 
B
1.70 x 103 
C
1.701 x 103 
D
17.01 x 103 
Explanation.
Share Answer 2.7 x 10-4 x 6.3 x 106

= 2.7 x 6.3 x 10-4 x 106

= 17.01 x 10-4 + 6

= 17.01 x 102

= 1.701 x 101 x 102

= 1.701 x 101 + 2

= 1.701 x 103

Correct Option:
C
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Question 4
A
B
4\(\frac{1}{2}\) 
C
D
\(\frac{1}{2}\) 
Explanation.
Share Answer \(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}}\)

from numerator \(1 \frac{7}{8} \times 2 \frac{2}{5}\)

= \(\frac{15}{8} \times \frac{12}{5}\)

= \(\frac{3 \times 3}{2 \times 1} = \frac{9}{2}\)

from denominator \(6\frac{3}{4} \div \frac{3}{4}\)

= \(\frac{27}{4} \div \frac{3}{4}\)

= \(\frac{27}{4} \times \frac{4}{3}\)

= \(\frac{9 \times 1}{1 \times 1} = \frac{9}{1}\)

\(\frac{9}{2} \div \frac{9}{1} = \frac{9}{2} \times \frac{1}{9}\)

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

Correct Option:
D
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Question 6
A
-2 
B
-1 
C
D
Explanation.
Share Answer \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\)

\(\sqrt{50} - \frac{2}{\sqrt{2}}\) = K\(\sqrt{8}\)

= \(\sqrt{2} \times 25 - \frac{2}{\sqrt{2}}\)

= K \(\sqrt{4 \times 2}\)

\(\frac{5\sqrt{2}}{1} - \frac{2}{\sqrt{2}}\) = 2K\(\sqrt{2}\)

\(\frac{5\sqrt{4} - 2}{\sqrt{2}} = 2K\sqrt{2}\)

\(\frac{10 - 2}{\sqrt{2}} = 2K \sqrt{2}\)

\(\frac{8}{\sqrt{2}} = \frac{2K\sqrt{2}}{1}\)

= 2k\(\sqrt{2} \times \sqrt{2}\) = 8

2k \(\sqrt{4}\) = 8

2k x 2 = 8

4k = 8

k = \(\frac{8}{4}\)

k = 2

Correct Option:
D
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Question 7
A
4% 
B
5\(\frac{5}{9}\)% 
C
5\(\frac{15}{17}\)% 
D
7% 
Explanation.
Share Answer % error = \(\frac{error}{\text{actual value}} \times 100\)

error = N72 - N68 = 4

actual value = N72

%error = \(\frac{4}{72} \times 100\)

= \(\frac{100}{18} = \frac{50}{9}\) = 5\(\frac{5}{9}\)%

Correct Option:
B
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Question 8
A
N94x + 6y) 
B
N(6x + 4y) 
C
N(24x + 12y) 
D
N(12x + 24y) 
Explanation.
Share Answer 4 oranges sell for Nx, 1 orange will sell for \(\frac{Nx}{4}\)

24 oranges will sell for: \(\frac{Nx}{4} \times 24\) = n6x

3 mangoes sell for Ny, 1 mango will sell for \(\frac{Ny}{3}\)

12 mangoes will sell for \(\frac{Ny}{3} \times 12\) = 4Ny

total money pay N6x + N4y = N(6x + 4y)

Correct Option:
B
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Question 9
A
\(\frac{x - y}{3}\) 
B
x + y 
C
\(\frac{3}{x - y}\) 
D
x - y 
Explanation.
Share Answer \(\frac{x^2 - y^2}{(x + y)^2} + \frac{(x - y)^2}{(3x + 3y)}\)

\(\frac{(x + y)(x - y)}{(x + y)(x + y)} + \frac{(x - y)(x - y)}{3(x + y)}\)

= \(\frac{3}{x - y}\)

Correct Option:
C
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Question 10
A
x > 0 
B
x < \(\frac{1}{4}\) 
C
x > 2\(\frac{1}{2}\) 
D
x < 2\(\frac{1}{4}\) 
Explanation.
Share Answer \(\frac{2x - 5}{2} < \frac{(2 - x)}{1}\)

2x - 5 < 4 - 2x

2x + 2x < 4 + 5

4x < 9

x < \(\frac{9}{4}\)

x < 2\(\frac{1}{4}\)

Correct Option:
D
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