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JAMB Mathematics Past Questions & Answers - Page 143

711.

In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.

A.

4cm

B.

6cm

C.

3cm

D.

2cm

E.

1cm

Correct answer is B

Angles ADE and EFC are similar,
Therefore,

= x3=42

= x3=2

x = 3 x 2 = 6

712.

The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

A.

387

B.

493

C.

502

D.

441

E.

634

Correct answer is C

Possible multiples of 8 and 9 = 72, 144, 216, 288, 360, 432, 576, 648.

3878 has remainder = 3; 3879 has remainder 0.

4938 has remainder 5; 4939 has remainder 7.

5028 has remainder 6; 5029 has remainder 7.

4418 has remainder 1; 4419 has remainder 0.

6348 has remainder 2; 6349 has remainder 4.

Hence 502 is the answer.

714.

The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b

A.

2

B.

4

C.

10

D.

35

E.

2.2

Correct answer is C

a = 2i - 3j - 3i + 6j

= -i + 3j

= 5×2

= 10