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Question 1
A
25 
B
19 
C
18 
D
17 
Explanation.

Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.


Correct Option:
A

Question 2
A
236 
B
356 
C
526 
D
556 
Explanation.

Hint: Two methods can be used;
1. Direct division (if you know division in number bases)
2. Convert both sides to base 10, divide and convert your answer back to base 6. Your answer should be 356


Correct Option:
B

Question 3
A
2/3 
B
1/2 
C
-1/2 
D
-2/3 
Explanation.

\(a*a^{-1} = aa^{-1} + a + a^{-1} = e\)

if e = 0

\(2.2^{-1} + 2 + 2^{-1} = 0\)

collecting like terms, we have:
\(3.2^{-1} + 2 = 0\)

= \(2^{-1}\) = -\(\frac{2}{3}\)


Correct Option:
D

Question 4
A
2x2-x+1 
B
2x2-x-1 
C
2x2+x+1 
D
2x2+x-1 
Explanation.

No official Explanation yet!


Correct Option:
D

Question 5
A
400 cm2 
B
462 cm2 
C
66 cm2 
D
308 cm2 
Explanation.

Total surface area of hemisphere = half of TSA of sphere + circumference of circle

= \(2\pi r^{2} + \pi r^{2} = 3\pi r^{2}\)

= \( 3 \times \frac{22}{7} \times 7^{2} = 462cm^{2}\)


Correct Option:
B

Question 6
A
120 
B
10 
C
20 
D
60 
Explanation.

To get the answer, we simply do

\(\frac{5!}{(5 - 3)!}\)

= \(\frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1}\)

= 60


Correct Option:
D

Question 7
A
49 
B
121 
C
25 
D
64 
Explanation.
Mode = 11
Square of the mode = 112
=121

Correct Option:
B

Question 8
A
7.0 
B
8.7 
C
9.5 
D
11.0 
Explanation.
Mean ((4*3) + (7*5) + (8*2) + (11*7) + (13*2) + (8*1))/20
(12 + 35 + 16 + 77 + 26 + 8)/20
174/20 = 8.7

Correct Option:
B

Question 9
A
2/3 
B
1/2 
C
1/3 
D
1/4 
Explanation.
P(Games ends in draw)
This implies that Team P and Q wins
P(P wins) = 1/2
P(Q wins) = 1/2
P(game ends in a draw) = 1/2*1/2 = 1/4

Correct Option:
D

Question 10
A
7/15 
B
2/5 
C
1/3 
D
1/15 
Explanation.
Total number of beads
= 1+2+4+5+3
=15
Number of blue beads = 1
P(Blue beads) = 1/15
Numbers of white beads = 4
P(white beads) = 4/15
P(Blue of white beads)
= P(Blue) + P(White)
= 1/15 + 4/15
= 5/15
= 1/3

Correct Option:
C

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