2021 - JAMB Mathematics Past Questions and Answers - page 3

21

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?

A

perpendicular bisector of the two lines

B

angle bisector of the two lines

C

bisector of the two lines

D

line parallel to the two lines

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22

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

A

48o

B

84o

C

92o

D

276o

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23

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

A

3

B

16

C

38

D

30

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24

Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?

A

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

B

\(\frac{1}{2}\)

C

\(\frac{1}{3}\)

D

\(\frac{1}{4}\)

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25

Find the probability that a number selected at random from 41 to 56 is a multiple of 9

A

\(\frac{1}{8}\)

B

\(\frac{2}{15}\)

C

\(\frac{3}{16}\)

D

\(\frac{7}{8}\)

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26

Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?

A

N10.80

B

N10.67

C

N2.80

D

N2.67

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27

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

A

1 - 4 log3

B

-1 + 2 log 3

C

-1 + 5 log2

D

1 - 2log 2

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28

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

A

\(\frac{(p + q)}{pw + qu}\)

B

\(\frac{uw(p + q)}{pw + qu}\)

C

\(\frac{uw(p + q)}{pw}\)

D

\(\frac{uw}{pw + qu}\)

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29

If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when

u = 2 and v = 6, find a relationship between u, v, w.

A

uvw = 16(u + v)

B

16uv = 3w(u + v)

C

uvw = 12(u + v)

D

12uvw = u + v

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30

If g(x) = x\(^2\) + 3x  find g(x + 1) - g(x)

A

(x + 2)

B

2(x + 2)

C

(2x + 1)

D

(x2 + 4)

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