Mathematics (2017) | Study Mode

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Question 21
A

7

B

-7

C

- 7\(\sqrt{3}\)

D

7\(\sqrt{3}\)

Explanation
4\(\sqrt{27}\) + 5\(\sqrt{12}\) - 3\(\sqrt{75}\)

= 4\(\sqrt{3}\) \(\times\) 9 + 5\(\sqrt{3}\) \(\times\) 4 - 3\(\sqrt{3}\) \(\times\) 25

= 4 \(\times\) 3\(\sqrt{3}\) + 5 \(\times\) 2\(\sqrt{3}\) - 3 \(\times\) 5\(\sqrt{3}\)

= 12\(\sqrt{3}\) + 10\(\sqrt{3}\) - 15\(\sqrt{3}\)

= (12 + 10 - 15)\(\sqrt{3}\)

= 7\(\sqrt{3}\)

Correct option: D
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Question 22
A
three times as much
B
the same
C
twice as much
D
half as much
Explanation
Let the speed of the 1st trip be x miles/hr

and the speed of the 2nd trip be 3x miles/hr

Speed = distance/time

? Time taken to cover a distance of 50 miles on the 1st trip

= \(\frac{50}{xhr}\)

time taken to cover a distance of 300 miles on the next trip

= \(\frac{300}{3xhr}\)

= \(\frac{100}{xhr}\)

?the new time compared with the old time is twice as much

Correct option: C
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Question 23
Mathematics (2017) Q 23 image
A

40o

B

55o

C

50o

D

60o

Explanation
Sum of angle at a point = 360o

2x + 3x + 4x = 360

9x = 360

x = \(\frac{360}{9}\)

x = 40o

Correct option: A
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Question 24
A
2x2 -x + 1
B
2x2 - x -1
C
2x2 + x + 1
D
2x2 + x -1
Explanation

Explanation not provided, please join discuss, your contributions are welcomed


Correct option: B
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Question 25
A
60%
B
32%
C
25%
D
20%
Explanation
Total Cost Price = N(250,000 + 70,000)

= N 32,000

Selling Price = N 400,000(Given)

Gain = Selling Price - Cost Price

= 400,000 - 300,000

= 80,000

% gain = \(\frac{\text{Gain}}{\text{Cost Price}}\) \(\times\) 100

= \(\frac{80,000}{320,000}\) \(\times\) 100

Gain % = 25%

Correct option: C
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Question 26
A

\(\frac{10!}{2!2!2!}\)

B

\(\frac{10!}{4!2!}\)

C

\(\frac{10!}{4!2!2!}\)

D

\(\frac{10!}{2!2!}\)

Explanation

EXCELLENCE

It is a ten letter word = 10!

Since we have repeating letters, we have to divide to remove the duplicates accordingly. There are 4 Es, 2 Cs, 2 Ls

? there are
\(\frac{10!}{4!2!2!}\) ways to arrange


Correct option: C
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Question 27
A

3.3 x 104

B

3.3 x 10-3

C

3.3 x 10-4

D

3.3 x 10-8

Explanation
\(\frac{0.00000231}{0.007}\) to standard form

= \(\frac{231 \times 10^{-8}}{7 \times 10^{-3}}\)

= 33 \(\times\) 10\(^{-8 - (-3)}\)

= 33 \(\times\) 10\(^{- 8 + 3}\)

= 33 \(\times\) 10-5

Correct option: C
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Question 28
A

5%

B

10%

C

8%

D

7%

Explanation
Actual measurement = 10cm

approximated value of measurement = 10.5cm

% error = \(\frac{\text{Actual measurement - Approximated}}{\text{Actual measure}}\) \(\times\) 100

= \(\frac{10 - 10.5}{10}\) \(\times\) 100

= \(\frac{-0.5}{10}\) \(\times\) 100

ignore -sign i.e take absolute value

= \(\frac{0.5}{10}\) \(\times\) 100

= 5 %

Correct option: A
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Question 29
A

N 4,900

B

N 500

C

N 4,700

D

N 400

Explanation
Principal = P, Simple Interest = I, Amount = A

Amount = Principal + Simple Interest

I = \(\frac{PRT}{100}\)

R = rate, T = time

I = \(\frac{P \times 5 \times 2}{100}\)

I = \(\frac{10P}{100}\)

I = \(\frac{P}{10}\)

Amount A = P + I

5500 = P + \(\frac{P}{10}\)

Multiply through by 100

5500 = 10P + P

5500 = 11P

p = \(\frac{5500}{11}\)

p = N 500

Correct option: B
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Question 30
A
\(\frac{11!}{9!2!}\)
B
\(\frac{11!}{9!2!2!}\)
C
\(\frac{11!}{2!2!2!}\)
D
\(\frac{11!}{2!2!}\)
Explanation
MATHEMATICS is an eleven letter word = 11!

There are 2Ms and 2As and 2Es

Divide the number of repeating letters

= \(\frac{11!}{2!2!2!}\)

Correct option: C

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