Mathematics 2009 | Study Mode

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Question 41
A
2/3
B
4/9
C
8/27
D
1/27
Explanation
P(pass) = 2/3
P(not pass) = 1 - 2/3 = 1/3
P(not passing any of the 3 Exams) = 1/3 x 1/3 x 1/3
= 1/27

Correct option: D
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Question 42
A
100m
B
753 m
C
1003m
D
2003m
Explanation
Tan 60 = 300
x

x = 300
Tan 60

x = 300
3

x = (300/3) x (3/3)
x = 3003
.....3


x = 1003

Correct option: C
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Question 43
A
15
B
28
C
30
D
45
Explanation

Correct option: D
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Question 44
A
720
B
504
C
336
D
210
Explanation
9P3 = _9!ways
(9-3)!

= 9!
6!

= 9x8x7x6!
___6!

= 504 ways

Correct option: B
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Question 45
A
11219
B
21129
C
21139
D
22119
Explanation
You borrow 1 which transforms to 9, because of it's base

1863099
-164189
________
22119
________

Correct option: D
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Question 46
A
5
B
6
C
7
D
10
Explanation
5 x X1 + 5 x XO + 5 x X1 + 2 x XO = 77

5X + 5 + 5X + 2 = 77

10X + 7 = 77

10X = 77 - 7

10X = 70

X = \(\frac{70}{10}\)

= 7

Correct option: C
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Question 47
A
4
B
4\(\frac{1}{6}\)
C
4\(\frac{5}{6}\)
D
5\(\frac{1}{6}\)
Explanation
7\(\frac{1}{12}\) - 4\(\frac{3}{2}\) + 2\(\frac{1}{2}\)

Take care of the whole numbers

7 - 4 + 2 = 5

therefore, 5\(\frac{1}{12}\) - \(\frac{3}{4}\) + \(\frac{1}{2}\)

LCM = 12

5\(\frac{1 - 9 + 6}{12}\)

4\(\frac{13 - 9 + 6}{12}\)

= 4\(\frac{10}{12}\)

or = 4\(\frac{5}{6}\)

Correct option: C
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Question 48
A
6.21
B
3.22
C
2.78
D
2.13
Explanation
\(\frac{81.81 + 99.44}{20.09 + 36.16}\)

= \(\frac{181.25}{56.25}\)

= 3.22

Correct option: B
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Question 49
A
\(\frac{7}{16}\)
B
\(\frac{8}{15}\)
C
\(\frac{2}{3}\)
D
\(\frac{4}{5}\)
Explanation
Spent \(\frac{1}{5}\) on books remaining \(\frac{4}{5}\)

spent \(\frac{1}{3}\) of \(\frac{4}{5}\) on food

\(\frac{4}{5}\) x \(\frac{1}{3}\) = \(\frac{4}{15}\)

therefore, \(\frac{4}{5}\) - \(\frac{4}{15}\)

= \(\frac{12 - 4}{15}\)

= \(\frac{8}{15}\)

Correct option: B
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Question 50
A
2.3 cm
B
4.0 cm
C
5.2 cm
D
6.0 cm
Explanation
S = t3 - t2 - t + 5
ds/dt = 3t2 - 2t - 1
As ds = 0
3t2 - 2t - 1 = 0
(3t+1)(t-1) = 0
t = 1 or -1/3
At min pt t = -1/3
S = t3 - t2 - t + 5 put t = -1/3
= (-1/3)3 - (-1/3)2 - (-1/3) + 5
= -1/27 - 1/9 + 1/3 + 5
= 140 / 27
= 5.2

Correct option: C

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