7
6
5
4
Correct answer is C
Profit (P) = 10\(_x\) − \(_x\)2
Maximum profit can be achieved when the differential of profit with respect to number of bags(x) is 0
i.e. \(\frac{dp}{dx}\) = 0
\(\frac{dp}{dx}\) = 10 - 2x = 0
10 = 2x
Then x = \(\frac{10}{2}\) = 5
Answer is C
1000
2000
3000
4000
Correct answer is B
Let the angle for school fees = x°
Then Housing = 2x°
120° + 90° + x° + 2x° = 360°
3x° = 150° \(\implies\) x° = 50°.
Amount spent on housing = \(\frac{100}{360} \times 7200\)
= N2000.
Find the values of x for which \(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4
x < 8
x > -6
x < 4
x > -3
Correct answer is B
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3} < 4\)
\(\frac{3(x + 2) - 4(2x - 3)}{12} < 4\)
\(3x + 6 - 8x + 12 < 48 \)
\(18 - 5x < 48 \implies -5x < 30\)
\(\therefore x > -6\)
4
8
16
20
Correct answer is D
Let the number of people that offer both Mathematics and Physics = y
Then, \((32 - y) + y + (24 - y) + 4 = 40\)
\(60 - y = 40 \implies y = 20\)
\(\therefore\) 20 students offer both Mathematics and Physics.
What is the product of 2x2 − x + 1 and 3 − 2x
4x3 − 8x2 + 5x + 3
−4x3 + 8x2 − 5x + 3
−4x3 − 8x2 + 5x + 3
4x3 + 8x2 − 5x + 3
Correct answer is B
(2x2 - x + 1) × (3 - 2x);
3(2x2 - x + 1) - 2x (2x2 - x + 1)
6x2 - 3x + 3 - 4x3 + 2x2 - 2x
-4x3 + 8x2 -5x + 3
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