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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 2061

jamb 1983

PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50o with the tangent as shown in the figure. What is the size of QRS?

A50^o

B40^o

C110^o

D80^o

E100^o

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Question 2062

jamb 1983

If O is the centre of the circle in the figure, find the value of x

A50

B260

C100

D65

E130

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Question 2063

jamb 1983

PQRS is a desk of dimensions 2m x 0.8 which is inclined at 30^o to the horizontal. Find the inclination of the diagonal PR to the horizontal

A30^o 35'

B30^o 32'

C15^o 36'

D10^o

E10^o 42'

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Question 2064

jamb 1983

The figure FGHK is a rhombus. What is the value of angle X?

A30^o

B90^o

C150^o

D120^o

E60^o

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Question 2065

jamb 1983

Which of the following equations represents the graph?

Ay = 1 + 2x + 3x²

By = 1 - 2x + 3x²

Cy = 1 + 2x - 3x²

Dy = 1 - 2x - 3x²

Ey = 3x² + 2x - 1

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Question 2066

jamb 1983

In the figure, find PRQ

A66\(\frac{1}{2}\)^o

B62\(\frac{1}{2}\)^o

C125^o

D105^o

E65^o

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Question 2067

jamb 1983

In a class of 60 pupils, the statistical distribution of the numbers of pupils offering Biology, History, French, Geography and Additional mathematics is as shown in the pie chart. How many pupils offer Additional Mathematics?

A15

B10

C18

D12

E20

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Question 2068

jamb 1983

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours?

A120km/hr

B60km/hr

C670km/hr

D40km/hr

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Question 2069

jamb 1983

Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77

A25.12

B25.30

C25.26

D25.50

E25.75

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Question 2070

jamb 1983

In a triangle PQT, QR = \(\sqrt{3}cm\), PR = 3cm, PQ = \(2\sqrt{3}\)cm and PQR = 30o. Find angles P and R

AP = 60^o and R = 90^o

BP = 30^o and R = 120^o

CP = 90^o and R = 60^o

DP = 60^o and R 60^o

EP = 45^o and R = 105^o

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Question 2071

jamb 1983

PQR is the diameter of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60º. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A25cm

B18cm

C36cm

D29cm

E25.5cm

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Question 2072

jamb 1983

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

A\(\frac{9a^2}{2a^3}\)

B\(\frac{3}{2a^3}\)

C\(\frac{2}{3a^2}\)

D\(\frac{3a^2}{2}\)

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Question 2073

jamb 1983

On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.

A6.00cm²

B6.10cm²

C6cmv

D6.09cm²

E4.00cm²

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Question 2074

jamb 1983

In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)

What is the median?

D4.5

ENone

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Question 2075

jamb 1983

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

A20^o 34'

B243^o 26'

C116^o 34'

D63^o 26'

E240^o 56'

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Question 2076

jamb 1983

One interior angle of a convex hexagon is 170^o and each of the remaining interior angles is equal to x^o. Find x

A120^o

B110^o

C105^o

D102^o

E100^o

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Question 2077

jamb 1983

Factorize completely 81a\(^4\) - 16b\(^4\)

A(3a + 2b)(2a - 3b)(9a² + 4b²)

B(3a - 2b)(2a - 3b)(4a² - 9b²)

C(3a - 2b)(3a + 2b)(9a² + 4b²)

D(6a - 2b)(8a - 3b)(4a³ - 9b²)

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Question 2078

jamb 1983

Without using tables find the numerical value of log\(_7\)49 + log\(_7\)(\(\frac{1}{7}\))

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Question 2079

jamb 1983

If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.

Am = 4, n = 2

Bm = -4, n = -2

Cm = -4, n =2

Dm = 4, n = -2

Em = -2, n = 4

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Question 2080

jamb 1983

If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?

A55

B10

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