NECO Past Questions and Answers - Page 139

691.

If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

A.

9

B.

7

C.

4

D.

\(\frac{7}{16}\)

E.

\(\frac{9}{25}\)

Correct answer is B

No explanation has been provided for this answer.

692.

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

A.

3

B.

4

C.

6

D.

9

E.

12

Correct answer is C

No explanation has been provided for this answer.

693.

Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

A.

\(\frac{1}{6}\)

B.

\(\frac{1}{-14}\)

C.

- \(\frac{3}{2}\)

D.

\(\frac{7}{6}\)

E.

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

Correct answer is B

\(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 = 0 

collect like terms

\(\frac{4}{3}\) + 1 =  \(\frac{5}{6t}\) - \(\frac{1}{t}\)

\(\frac{4 + 3}{3}\) = \(\frac{-1}{6t}\)

cross multiply

42t = - 3

t =  \(\frac{-3}{42t}\)

t =  \(\frac{-1}{14}\)

694.

If log102 = 0.3010 and log103 = 0.4771, simplify: (Log108-log92) ÷ (Log109 - log102)

A.

4

B.

3

C.

0.0784

D.

-4

E.

-0.0784

Correct answer is E

No explanation has been provided for this answer.

695.

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

A.

P -3q

B.

\(\frac{1}{3}\) (p - 3q)

C.

3q

D.

4p - q

E.

12p - 3q

Correct answer is D

No explanation has been provided for this answer.