22

A car dealer bought a second-hand car for 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

  • A. 60%
  • B. 32%
  • C. 25%
  • D. 20%
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23

Divide 4×3 – 3x + 1 by 2x – 1

  • A. 2x2 -x + 1
  • B. 2x2 - x -1
  • C. 2x2 + x + 1
  • D. 2x2 + x -1
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24

In the figure, find x

  • A. 40o
  • B. 55o
  • C. 50o
  • D. 60o
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25

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

  • A. three times as much
  • B. the same
  • C. twice as much
  • D. half as much
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26

Simplify 4\(\sqrt{27}\) + 5\(\sqrt{12}\) βˆ’ 3\(\sqrt{75}\)

  • A. 7
  • B. βˆ’ 7
  • C. βˆ’ 7\(\sqrt{3}\)
  • D. 7\(\sqrt{3}\)
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27

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

  • A. 23m
  • B. 25m
  • C. 20m
  • D. 22m
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28

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

  • A. 8
  • B. 6
  • C. 4
  • D. 3
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29

The value of x + x ( xx) when x = 2 is

  • A. 16
  • B. 10
  • C. 18
  • D. 24
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30

The base in which the operation was performed was

  • A. 6
  • B. 2
  • C. 4
  • D. 5
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31

Find the sum to infinity of the series
\(\frac{1}{4}\), \(\frac{1}{8}\), \(\frac{1}{16}\),……….

  • A. \(\frac{1}{2}\)
  • B. \(\frac{3}{5}\)
  • C. \(\frac{-1}{5}\)
  • D. \(\frac{73}{12}\)
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32

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

  • A. 16
  • B. 14
  • C. 12
  • D. 10
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33

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60o

  • A. 100o
  • B. 140o
  • C. 120o
  • D. 10o
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34

The locus of a point which is equidistant from the line PQ forms a

  • A. circle centre P
  • B. pair of parallel lines each opposite to PQ
  • C. circle centre Q
  • D. perpendicular line to PQ
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35

Simplify 3 \(^{n βˆ’ 1}\) Γ—  \(\frac{27^{n + 1}}{81^n}\)

  • A. 3\(^{2n}\)
  • B. 9
  • C. 3n
  • D. 3 \(^{n + 1}\)
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36

Given m = N\(\sqrt{\frac{SL}{T}}\) make T the subject of the formula

  • A. \(\frac{\text{NSL}}{M}\)
  • B. \(\frac{N^2SL}{M^2}\)
  • C. \(\frac{N^2SL}{M}\)
  • D. \(\frac{NSL}{M^2}\)
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37

Evaluate 1 – (\(\frac{1}{5}\) x \(\frac{2}{3}\)) + ( 5 + \(\frac{2}{3}\))

  • A. 4
  • B. 3
  • C. 2\(\frac{2}{3}\)
  • D. \(\frac{98}{15}\)
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38

If temperature t is directly proportional to heat h, and when t = 20oC, h = 50 J, find t when h = 60J

  • A. 24oC
  • B. 20oC
  • C. 34oC
  • D. 30oC
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39

If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)

  • A. \(\frac{- \pi}{2}\)
  • B. -1
  • C. 1
  • D. \(\frac{ \pi}{2}\)
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40

Evaluate (\(\sin\)45ΒΊ + \(\sin\)30ΒΊ ) in surd form

  • A. \(\frac{\sqrt{3}}{2\sqrt{2}}\)
  • B. √3 βˆ’ \(\frac{1}{2}\)
  • C. \(\frac{1}{2}\)√2
  • D. \(\frac{1 +\sqrt{2}}{2}\)
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41

If two graphs Y = px2 + q and y = 2x2 βˆ’ 1 intersect at x =2, find the value of p in terms of q

  • A. q βˆ’ \(\frac{8}{7}\)
  • B. 7 βˆ’ \(\frac{q}{4}\)
  • C. 8 βˆ’ \(\frac{q}{2}\)
  • D. 7 + \(\frac{q}{8}\)
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42

The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base
Ο€ = \(\frac{22}{7}\)

  • A. 2.6cm
  • B. 3.5cm
  • C. 3.6cm
  • D. 7.0cm
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