NECO Past Questions and Answers - Page 147

731.

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.

732.

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\(^1\)

 

733.

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}

734.

Two fair coins are tossed at the same time. what is the probability of getting a head?

A.

1

B.

\(\frac{3}{4}\)

C.

\(\frac{1}{2}\)

D.

\(\frac{1}{3}\)

E.

\(\frac{1}{4}\)

Correct answer is E

No explanation has been provided for this answer.

735.

If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2

A.

8

B.

24

C.

27

D.

81

E.

648

Correct answer is D

No explanation has been provided for this answer.