If \(\frac{x}{a+1}+\frac{y}{b}\) 1. Make y the subject of the relation
\(\frac{b(a-x+1)}{a+1}\)
\(\frac{a+1}{b(a-x+1)}\)
\(\frac{a(b-x+1)}{b+1}\)
\(\frac{b}{a(b-x+1)}\)
Correct answer is A
If \(\frac{bx+y(a+1)}{b(a+1)}=1\\
bx + ya + y = ba + b; y(a+1) = ba+b-bx\\
y(a+1)=b(a+1-x); y = \frac{b(1+a-x}{a+1}\)
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
1920cm2
592cm2
296cm2
148cm2
Correct answer is C
otal surfaced area of a cupboard = lb + lh + bh
l = length h = height b = base
l = 12cm h = 10cm b = 8cm
T.S.A \(= (12 \times 8 \times 12 \times 10 + 8 \times 10)cm^\\
= (96 + 120 + 80)cm^2 = 296cm^2\)
If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.
-2
\(-\frac{1}{2}\).
\(\frac{1}{2}\)
2
Correct answer is D
\(2^{-2(2-y)}-x=2^{0}; -4 + 2y = 0\\
2y = 4; y = 2\)
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
35o
70o
100o
125o
Correct answer is A
∠PSQ = 90° (angle in a semi-circle)
(when SR is joined to SP)
∠SPQ = 180 – (90+35) = 180 – 125 = 55°
∠QRS + ∠SPQ = 180° (opposite angles in a cyclic quad is supplementary)
∠QRS = 180° - 55°
= 125°
Which of the following is not a micronutrient?
Manganese
Copper
Potassium
Zinc
Correct answer is C
No explanation has been provided for this answer.