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JAMB Mathematics Past Questions & Answers - Page 165

821.

Simplify $\frac{log_{10}8}{log_{10}4}$

log10²

log10⁴

$\frac{3}{2}$

None of the above

View answer & explanation

Correct answer is C

$\frac{log_{10}8}{log_{10}4}$ = $\frac{log_{10}2^3}{log_{10}2^2}$

= $\frac{3 log_{10}2}{2log_{10}2}$

= $\frac{3}{2}$

822.

A man and his wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?

N216

N200

N184

N144

N100

View answer & explanation

Correct answer is C

10% of 400 = N40, Remainder = N360 40% of 360 = N144 Altogether they 144 + 40 = N184

823.

P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?

A pair of straight lines parallel to PQ

The perpendicular bisector of PQ

An arc of a circle passing through P and Q

A circle with diameter PQ

The bisector of angle PXQ

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

824.

The ratio of the areas of similar triangles is necessarily equal to

the ratio of the corresponding sides

the ratio of the squares of corresponding sides

the ratio of the corresponding heights of the triangles

half the ratio of the corresponding heights of the triangles

the ratio of the corresponding bases to the heights of the triangles

View answer & explanation

Correct answer is B

The ratio of the areas of two similar triangles is equal to the square of ratio of their corresponding sides.

825.

A solid cylinder of radius 3cm has a total surface area of 36 $\pi$ cm2. Find its height

2cm

3cm

4cm

5cm

6cm

View answer & explanation

Correct answer is B

Area 2 $\pi$ r2 + 2 $\pi$ r(r + h)

= 2 $\pi$ r(r + h)

36 $\pi$ = 6 $\pi$ (r + h)

36 $\pi$ = 6 $\pi$ (3 + h)

36 $\pi$ = 18 $\pi$ + 6 $\pi$ h

36 $\pi$ - 18 $\pi$ = 6 $\pi$ h

Divide both side by 6 $\pi$

h = 3cm

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