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JAMB Mathematics Past Questions & Answers - Page 167

831.

Which of the following is NOT a factor of 124 - 54?

A.

7

B.

13

C.

17

D.

49

E.

169

Correct answer is D

124 - 54 = (122)2 - (52)2

= (122 + 52) x (122 - 52)

(144 + 25)(144 - 25)

= (169)(119)

Factors of above 169, 17, 13, 7

832.

Evaluate (20+412)2

A.

14

B.

54

C.

94

D.

4

E.

9

Correct answer is C

(20+412)2

= (1+(14)12)2

= (1+12)2

= (32)2=94

833.

Write down the number 0.0052048 correct to three significant figures

A.

0.005

B.

0.0052

C.

0.00520

D.

5.2048

E.

5204

Correct answer is C

0.0052048 = 0.00520

834.

Find, correct to three significant figures, the value of 41830.

A.

205

B.

647

C.

2050

D.

6470

E.

64.7

Correct answer is A

41830=204.5238

(to three significant figures)

835.

What is the length of an arc of a circle that substends 2\frac{1}{2} radians at the centre when the raduis of the circle = \frac{k}{k + 1} + \frac{k + 1}{k} then

A.

p< 0

B.

p\geq 0

C.

p \leq 0

D.

p < 1

E.

p > 0

Correct answer is E

\frac{k}{k + 1} + \frac{k + 1}{k}

= \frac{k^2 + (k + 1)^2}{k(k + 10}

= \frac{2k^2 + 2k + 1}{k(k + 1}

let k = \frac{1}{2}

p = \frac{10}{3}

p > 0