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JAMB Mathematics Past Questions & Answers - Page 72

356.

Solve for t in the equation $\frac{3}{4}$ t + $\frac{1}{3}$ (21 - t) = 11

$\frac{9}{13}$

$\frac{7}{13}$

9 $\frac{3}{5}$

View answer & explanation

Correct answer is D

$\frac{3}{4}$ t + $\frac{1}{3}$ (21 - t) = 11

Multiply through by the LCM of 4 and 3 which is 12

12 x( $\frac{3}{4}$ t) + 12 x ( $\frac{1}{3}$ (21 - t)) = (11 x 12)

9t + 4(21 - t) = 132

9t + 84 - 4t = 132

5t + 84 = 132

5t = 132 - 84 = 48

t = $\frac{48}{5}$

t = 9 $\frac{3}{5}$

Answer is D

357.

If y = 23 $_{five}$ + 101 $_{three}$ , find y, leaving your answer in base two

1110

10111

11101

111100

View answer & explanation

Correct answer is B

y = 23 $_{five}$ + 101 $_{three}$

23 $_{five}$ = $2 \times 5^1 + 3 \times 5^0$

= 13 $_{ten}$

101 $_{three}$ = $1 \times 3^2 + 0 \times 3^1 + 1 \times 3^0$

= 10 $_{ten}$

y $_{ten}$ = 13 $_{ten}$ + 10 $_{ten}$

= 23 $_{ten}$

= 10111 $_{two}$

358.

A trader realises 10x - x $^2$ Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

View answer & explanation

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

359.

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

1000

2000

3000

4000

View answer & explanation

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.

360.

Find the values of x for which

$\frac {x+2}{4}$ - $\frac{2x - 3}{3}$ < 4

x < 8

x > -6

x < 4

x > -3

View answer & explanation

Correct answer is B

$\frac {x+2}{4}$ - $\frac{2x - 3}{3} < 4$

$\frac{3(x + 2) - 4(2x - 3)}{12} < 4$

$3x + 6 - 8x + 12 < 48$

$18 - 5x < 48 \implies -5x < 30$

$\therefore x > -6$

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