# MATHEMATICS | Study Mode

Question 41
A

40

B

50

C

12

D

30

Question 42
A

2t

B

2t + 1

C

t

D

t + 1

##### Explanation

$$\sum x$$ = (t + 2) + (2t + 4) + (3t + 2) + 2t = 8t

N = 4_

∴ Mean, x = $$\frac{\sum x}{N} = \frac{8t}{4} = 2t$$

= 2t

Question 43
A
8
B
14
C
2
D
6

Question 44
A

30

B

35

C

20

D

25

Question 45
A

2

B

3

C

-2

D

3

Question 46
A

6

B

3

C

10

D

7

Question 47
A

5!2!2!

B

5!2!3!

C

5!2!

D

5!3!

Question 48
A

20

B

5

C

120

D

60

##### Explanation

5 people can take 3 places in;

5P3 ways, = $$\frac{5!}{(5 - 3)!}$$ = $$\frac{5!}{2!}$$

= $$\frac{5 \times 4 \times 3 \times 2!}{2!}$$

= 5 x 4 x 3

= 60 ways

Question 49
A

1/5

B

4/25

C

3/4

D

1/25

##### Explanation

$$(1 \leq x \leq 25)$$ = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}

Number N of x divisible by both 2 and 3 is 4.

n($$\varepsilon$$) = 25

= $$\frac{N}{n(\varepsilon)}$$

= $$\frac{4}{25}$$

Question 50
A

1/3

B

7/24

C

2/3

D

3/8

##### Explanation

n(apples) = 9

n(bananas) = 8
n(oranges) = 7

n($$\varepsilon$$) = 24

Hence Prob(not apple, nor orange) = Prob(banana) = $$\frac{8}{24}$$ = $$\frac{1}{3}$$

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