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NECO Past Questions and Answers - Page 138

686.

A car travels at an average speed of 75km/h. Find its speed in metres per second.

A.

270m/s

B.

208m/s

C.

27.0m/s

D.

20.8m/s

E.

2.08m/s

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

687.

Solve the equation: $\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0$

A.

3

B.

2

C.

$\frac{3}{2}$

D.

$\frac{2}{3}$

E.

-3

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

688.

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

A.

64

B.

48

C.

43

D.

24

E.

11

View answer & explanation

Correct answer is A

first term[a] = 3 * d → 3 * 8 = 24

sixth term of the A.P = a + 5d → 24 + [5 * 8]

⇒ 24 + 40 = 64

689.

Divide the LCM of 15abc and 20a $^2$ bc by their HCF

A.

10a

B.

12a

C.

5abc

D.

12a²bc

E.

60a²bc

View answer & explanation

Correct answer is B

LCM of 15abc and 20a $^2$ bc = 60a $^2$ bc

Factors of 15abc = 1, 3, 5,15, a, b, c

and of 20a $^2$ bc = 1, 2, 4, 5, 10, 20, a, b, c

HCF of 15abc and 20a $^2$ bc = 5abc

→ LCM ÷ HCF = 60a $^2$ bc ÷ 5abc

= 12a

690.

Simplify $(216{\frac{1}{3}})^{-2}$

A.

$\frac{1}{36}$

B.

$\frac{1}{18}$

C.

$\frac{1}{13}$

D.

$\frac{1}{6}$

E.

$\frac{1}{3}$

View answer & explanation

Correct answer is A

$(216^{\frac{1}{3}})^{-2}$

= $216^{\frac{-2}{3}}$

= (3√216) $^{-2}$

= (6) $^{-2}$

= $\frac{1}{6^2}$

= $\frac{1}{36}$

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