NECO Past Questions and Answers - Page 151

751.

A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

A.

N90.00

B.

N80.000

C.

N60,000

D.

N40,000

E.

N20,000

Correct answer is C

let one bottle of mirinda cost = #x, a bottle of malt will cost #3x

4 bottles of mirinda will cost = #4x, then 5 bottles of malt cost = #15x

total cost = 4x + 15x = 380

x = 380/19 = 20, therefore a bottle of mirinda cost = #20 then a bottle of mirinda will cost 3 x 20 = #60.00

752.

A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?

A.

169.00 cm

B.

144.00 cm

C.

25.00 cm

D.

17.69 cm

E.

10.00 cm

Correct answer is E

No explanation has been provided for this answer.

753.

If the volume of a cube is (8 x 103)cm\(^3\), what is the surface area the cube?

A.

2,400 cm\(^3\)

B.

1,600 cm\(^3\)

C.

120 cm\(^3\)

D.

24 cm\(^3\)

E.

16 cm\(^3\)

Correct answer is A

No explanation has been provided for this answer.

754.

The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.

A.

128.3m

B.

108.8m

C.

80.2m

D.

57.7m

E.

42.5m

Correct answer is E

to calculate for the high of the pole, we use sohcahtoa

Let the height of the pole be x.

Tan32º = \(\frac{opp}{adj}\)

Tan32º =  \(\frac{x}{68}\)

x = Tan32º x 68 = 42.5m ( to 1 d.p)

755.

Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square

A.

5

B.

3

C.

\(\frac{5}{2}\)

D.

\(\frac{5}{4}\)

E.

\(\frac{1}{5}\)

Correct answer is A

No explanation has been provided for this answer.