Factorize \( a^2 − b^2 − 4a + 4 \)
(a + b)(a − b)
(a − 2 + b)(a - 2- b)
(a + 1)(a − 2 + b)
(a + b) 2
Correct answer is B
The trinomial = \( a^2 − 4a + 4 \\
a^2 − b^2− 4a + 4 = (a^2 − 4a + 4) − b^2 \\
(a^2 − 2a − 2a + 4) − b^2 \\
a(a − 2)− 2(a − 2)] − b^2 \\
(a − 2)2 − b^2 \\
(a − 2 + b)(a − 2 − b )\)
3(2 + √5)
2(3 + √5)
5(2 + √3)
3 √2 + 1
Correct answer is C
5÷ (2 − √3)
Using conjugate surds
[5 ÷ (2 − √3)]×(2 + √3) ÷ (2 + √3)]
[5(2+√3)÷((2− √3))2]
[5(2 +√3) ÷ (2)2− (√3)2]
[5(2 +√3) ÷(4− 3)]
= 5(2 + √3)
3%
2%
4%
1%
Correct answer is C
Let assume the cost price is 100%
Marked up price + cost price = 20 + 100 = 120%
Discount at 20% = 20/100 × 120 % of cost price
Selling price = cost price − gain
= (120 − 24)% of cost price
= 96% of cost price
Loss = (100− 96)% of cost price
= 4% of cost price
∴ He will wake 4% loss
Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)
7.51
7.71
5.5
7.55
Correct answer is D
2.04 x 3.7
=
204
x 37
-----
7548 = 7.548
= 7.55(2dp)
If duty is levied at 25%, find the duty to be added to a bill of N80.
N100
N20
N80
N150
Correct answer is B
25% of N80 = 25/100 × 80
= N20.00