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JAMB Mathematics Past Questions & Answers - Page 172

856.

Solve 1x+1 - 1x+3 = 14

A.

x = -1 or 3

B.

x = 1 or 3

C.

x = 1 or -5

D.

x = -1 or 5

E.

x = -1 or -3

Correct answer is C

1x+1 - 1x+3 = 14

x+3x1(x+1)(x+3) = 14

2x2+4x+3 = 14

= x2 + 4x + 3 = 8

x2 + 4x - 5 = 0

= (x - 1)(x + 5) = 0

x = 1 or -5

857.

Simplify 232 - 323+2

A.

223

B.

3(6 - 1)

C.

6 - 3

D.

-12

E.

322

Correct answer is B

232 - 323+2

232 = 23 - x2

3+23+2 = 6 + 2

323+2 = 323+2 x 3232

= 5 - 26

6 + 2 - (5 - 2 6) = 6 + 2 - 5 + 26

= 36 - 3

= 3(6 - 1)

858.

In one and a half hours, the minute hand of a clock rotates through an angle of

A.

90o

B.

180o

C.

640o

D.

450o

E.

540o

Correct answer is E

1 hr = 60 mins, 60 mins = 360°

30 mins = 360o1 × 3060

= 180°

90 mins = 360° + 180°

= 540°

859.

A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as

A.

0.00012m

B.

0.0000012m

C.

0.000012m

D.

0.00000012m

E.

0.000000012m

Correct answer is C

1 UM = 10-6mm = 10-9m
1.2 x 104 x 10-9m = 1.2 x 10-5m (0.000012)

860.

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

A.

7cm

B.

12cm

C.

8cm

D.

36cm

E.

69cm

Correct answer is A

In ΔDAC,DAC=θ

sinθ=513

\theta = 22.6°

< DOC = 22.6° \times 2 = 45.2°

\sin 45.2 = \frac{5}{r} \implies r = \frac{5}{\sin 45.2}

r = 7.046cm

= 7\frac{1}{24} cm