# Mathematics (2018) | Study Mode

Question 11
A
$$\frac{b(a + 1 - x)}{a + 1}$$
B
$$\frac{a + 1}{b(a - x + 1)}$$
C
$$\frac{a(b - x + 1)}{b + 1}$$
D
$$\frac{b}{a(b - x + 1)}$$

Question 12
A
0.040
B
0.049
C
0.050
D
0.49

Question 13
A
026
B
045
C
210
D
240
##### Explanation

Question 14
A
$$\frac {1}{10}$$
B
$$\frac {2}{10}$$
C
$$\frac {9}{20}$$
D
$$\frac {11}{20}$$
##### Explanation

Pr(both John and James passed)

= $$\frac {3}{4}$$ x $$\frac {3}{5}$$

= $$\frac {9}{20}$$

Pr(john and james failed)= 1- Pr(john and james passed)

= 1 $$\frac {9}{20}$$

= $$\frac {11}{20}$$

Question 15
A
14.67cm
B
42.67cm
C
101.33cm
D
513.33cm
##### Explanation

Question 16
A
25
B
$$\frac{1}{5}$$
C
1
D
$$\frac{1}{25}$$
##### Explanation

Question 17
A
$$\frac{9}{10000}$$
B
$$\frac{9}{1000}$$
C
$$\frac{9}{100}$$
D
$$\frac{9}{10}$$

Question 18
A
N676.50
B
N820
C
N1,640
D
N4,920

Question 19
A
N16,200
B
N14,200
C
N12,000
D
N8,000
##### Explanation

Since it depreciates by 10% At the end of first year, its value = 90% of 20000

= $$\frac{90}{100}$$ x 20000 =18000

At the end of second year, its value = 90% of 18000

= $$\frac{90}{100}$$ x 18000 = ?16,200

Question 20
A
1
B
2
C
3
D
4
##### Explanation

Total frequency = 1 + 2 + 7 + 5 + 4 + 3 = 22

Median is the middle number

= $$\frac{Nth}{2}$$

term = $$\frac{22th}{2}$$ = 11th term

Going in ascending order, 11th term is 3, going in descending order 11th term is 3

Median = 3 + $$\frac{3}{2}$$ = $$\frac{6}{2}$$ = 3

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