Processing math: 57%

JAMB Mathematics Past Questions & Answers - Page 60

296.

Find $\frac{\mathrm d y}{\mathrm d x}$ if $y = \cos x$ .

$\sin x$

$- \sin x$

$\tan x$

$- \tan x$

View answer & explanation

Correct answer is B

If $y = \cos x$

$\frac{\mathrm d y}{\mathrm d x}$ =— $\sin x$

297.

A man stands on a tree 150 cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

52 cm

43 cm

40 cm

15 cm

View answer & explanation

Correct answer is B

$\tan 16 = \frac{x}{150}$

$x = 150 \tan 16$

= $43 cm$

298.

A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

30 $\pi$ cm $^2$

60 $\pi$ cm $^2$

120 $\pi$ cm $^2$

150 $\pi$ cm $^2$

View answer & explanation

Correct answer is B

Area of sector = $\frac{\theta}{360°} \times \pi r^{2}$

= $\frac{150}{360} \times \pi \times 12^{2}$

= 60 $\pi$ cm $^{2}$

299.

If $N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}$ , find $|N|$ .

View answer & explanation

Correct answer is C

$\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}$

= $3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)$

= $21 + 20 - 24$

= 17

300.

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

$\frac{5}{8}$

$\frac{5}{16}$

$\frac{1}{2}$

$\frac{3}{8}$

View answer & explanation

Correct answer is A

x	1	2	3	4
1	1*	2*	3*	4*
2	2*	4*	6*	8
3	3*	6*	9	12
4	4*	8	12	16

The numbers that are not greater than 6 are either less than 6 or equal to 6.

P(picking a number not greater than 6) = $\frac{10}{16}$

= $\frac{5}{8}$

JAMB Subjects

Literature in English

Islamic Religious Knowledge

Christian Religious Knowledge

Aptitude Tests

Situational Judgement Questions and Answers

Logical Reasoning Questions and Answers

Spatial Reasoning Questions and Answers

Verbal Reasoning Questions and Answers

Personality Test

Puzzles Questions and Answers

Data Interpretation Questions and Answers

Nigeria General Knowledge Questions and Answers

Microsoft Office Questions and Answers

Quantitative Reasoning Questions and Answers

Numerical Reasoning Questions and Answers

Typing Speed and Accuracy Test

Abstract Reasoning Questions and Answers

See all →

View latest jobs in Nigeria today