NECO Past Questions and Answers - Page 150

746.

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

A.

T = (a2s2 – 1)

B.

T = (a2s2– 1) ÷ a

C.

T = a ÷ (a2 - s2)

D.

T = a ÷ (a2s2 – 1)

E.

T = (as – 1)2

Correct answer is D

No explanation has been provided for this answer.

747.

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A.

9.0cm

B.

8.5cm

C.

7.2cm

D.

4.3cm

E.

3.0cm

Correct answer is E

No explanation has been provided for this answer.

748.

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A.

7.07cm\(^3\)

B.

50.0cm\(^3\)

C.

125.0cm\(^3\)

D.

353.4cm\(^3\)

E.

625.0cm\(^3\)

Correct answer is C

No explanation has been provided for this answer.

749.

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

A.

1.995 × 103

B.

1.95 × 102

C.

1.95 × 101

D.

1.95 × 10-2

E.

1.95 × 10-3

Correct answer is C

Where 1.25 × 10\(^2\) = 125

0.125 × 10\(^3\) = 125

12.5 × 10\(^{-4}\) = 0.00125

:  125 x 125 x 0.00125

= 19.53125 or 1.95 x 10\(^1\)

 

750.

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A.

{17}

B.

{16, 17, 19, 20}

C.

{1, 4, 15, 17, 18}

D.

{14, 15, 16, 18, 19, 20}

E.

{14, 15, 16, 17, 18, 19, 20}

Correct answer is D

U = {14,15,16,17,18,19,20}

J' = {14,15,17,18}

K' = {16,17,19,20}

(J' \(\cap\) K') = {17}

(J' \(\cap\) K')' = {14,15,16,18.19,20}