JAMB Mathematics Past Questions & Answers - Page 74

366.

A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A.

N16,200

B.

N14,200

C.

N12,000

D.

N8,000

Correct answer is A

Since it depreciates by 10% At the end of first year, its value = 90% of 20000

  = \(\frac{90}{100}\) x 20000 =18000

  At the end of second year, its value = 90% of 18000

  = \(\frac{90}{100}\) x 18000 = ₦16,200

  Answer is A

367.

If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\)  years is N123, find the principal.

A.

N676.50

B.

N820

C.

N1,640

D.

N4,920

Correct answer is C

No explanation has been provided for this answer.

368.

What is the place value of 9 in the number 3.0492?

A.

\(\frac{9}{10000}\)

B.

\(\frac{9}{1000}\)

C.

\(\frac{9}{100}\)

D.

\(\frac{9}{10}\)

Correct answer is B

No explanation has been provided for this answer.

369.

Make T the subject of the relation.

A.

T = \(\frac{R + P3}{15Q}\)

B.

T = \(\frac{R - 15P^3}{Q}\)

C.

T =R - \(\frac{15P^3}{Q}\)

D.

T = \(\frac{15R + Q}{P^3}\)

Correct answer is C

P = (\(\frac{Q( R - T )}{ 15})^\frac{1}{3}\)

take cube of both sides

\(P^3 =\frac{Q( R - T)}{ 15}\)

cross multiply

\(15P^3 = Q( R - T)\)

\(\frac{15P^3}{Q}\) = R - T 

T = R - \(\frac{15P^3}{Q}\) 

370.

Simplify

\(\frac {25^{\frac{2}{3}} \div  25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)

A.

25

B.

1

C.

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

D.

\(\frac{1}{25}\)

Correct answer is A

\(\frac {25^{\frac{2}{3}} \div  25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)

= \(\frac{25^{\frac{2}{3} - \frac{1}{6}}}{(\frac{1}{5})^{\frac{7}{6} - \frac{1}{6}}}\)

= \(\frac{25^{\frac{1}{2}}}{(\frac{1}{5})}\)

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

= 25