Mathematics 2009 | Study Mode

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Question 41
A
180
B
120
C
110
D
40
Explanation
20 + 2x + 60 + 40 + x + 50 = 250
170 + 3x = 260
3x = 260 - 170
3x = 90
x = 90/3 = 30
At least 4 days
4 days = 40
5 days = 30
6 days = 50
Total = 120

Correct option: B
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Question 42
A
45
B
50
C
60
D
75
Explanation
Sectorial angle of apple
100 + 100 + 115 + x = 30o
315 + x = 360
x = 360 - 315
x = 45o
360o represents 400
1o represents 400 / 360
45o represents (400/360) x (45/1)
= 50 apples

Correct option: B
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Question 43
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 44
A
4
B
3
C
2
D
1
Explanation
xffx
5315
8216
6424
kik
f=10fx=55+k

Mean = fx
fx

5.7 = 55+k
10

57 = 55 + k
k = 57 - 55
k = 2

Correct option: C
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Question 45
A
0.5
B
1
C
1.5
D
2
Explanation
xxx-X/x-X/
x1-11
2x200
x+1200
3x311
/x-X/=2

Mean = x+2x+x+1+3x
____4

2 = 7x+1
_4

8 = 7x+1
7x = 8-1
7x = 7
x = 1
Mean deviation = /x-X/
__n

= 2
4

= 1
2

= 0.5

Correct option: A
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Question 46
A
15
B
28
C
30
D
45
Explanation

Correct option: D
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Question 47
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 48