JAMB Mathematics Past Questions & Answers - Page 114

566.

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

A.

20o

B.

40o

C.

10o

D.

30o

Correct answer is B

PS = SR

\(\bigtriangleup\)PSR is an isosceles

< P = < SPQ = 40°

< R = < SRQ

< PSQ = < SRQ (alternate segment)

< PSQ = 40°

567.

Triangle OPQ is the solution of the inequalities

A.

x - 1 < 0, y + \(\geq\) 0, y - x \(\geq\) 0

B.

x + 1 \(\leq\) 0, y + x \(\geq\) 0, y - x \(\leq\) 0

C.

x - 1 \(\geq\) 0, y - x \(\geq\) 0, y + x \(\geq\) 0

D.

y + x \(\geq\) 0, y - x \(\leq\) 0

Correct answer is B

No explanation has been provided for this answer.

568.

Use the graph find the values of p and q if px + qy \(\geq\) 4

A.

p = 2, q = -1

B.

p = -1, q = 2

C.

p = 2, q = 2

D.

p = 1, q = 2

Correct answer is B

m = \(\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}\)

\(\frac{y_2 - y_1}{x_2 - x_1} \geq m\)

\(\frac{y - 0}{x + 4} \geq \frac{1}{2}\)

2y \(\geq\) x + 4, -x + 2y \(\geq\) 4 = px + qy \(\geq\) 4

p = -1, q = 2

569.

The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?

A.

17

B.

16

C.

15

D.

14

Correct answer is A

\(\begin{array}{c|c} \text{no. of passengers} & \text{Number of taxis}\\ \hline 0.5 - 2.5 & 3\\ 2.5 - 4.5 & 4 \\ 4.5 - 6.5 & 7\\ 6.5 - 8.5 & 5\\ 8.5 - 10.5 & 4 \\ 10.5 - 12.5 & 1\\ \hline \text{Total} & 24 \end{array}\)

Thus, the taxi with more than 4 passengers

= 7 + 5 + 4 + 1 = 17

570.

The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

A.

\(\frac{1}{2}(Q_3 - Q_1)\)

B.

Q3 - Q2

C.

Q3 - Q2

D.

Q3 - Q1

Correct answer is D

No explanation has been provided for this answer.