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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

Question 1 of 20 4,407 total questions

Question 1791

waec 1991

From the top of a cliff, the angle of depression of
a boat on the sea is 60^o, if the top of the cliff is
25m above the sea level, calculate the horizontal
distance from the bottom of the cliff to the boat.

A50√3m

B25√3m

25√3m/3

25m/3

√3m/25

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Question 1792

waec 1991

Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).

A65^o

B115^o

C145^o

D245^o

E265^o

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Question 1793

waec 1991

the graph above is a sketch of

Ay = sin 2x

By=sinx

Cy=cos2x

Dy=2sinx

Ey = 2cos x

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Question 1794

waec 1991

Two towns, P and Q, are on (4^oN 40^oW) and (4^oN
20^oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).

A2πR cos4^o

BπR sin40^o

πR/2

cos4^o

πR/3

cos4^o

πR/6

cos4^o

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Question 1795

waec 1991

The common ratio of a G.P. is 2. If the 5th term is
greater than the 1st term by 45, find the 5th term,

C45

D48

E90

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Question 1796

waec 1991

The first term a of an A.P is equal to twice the
common difference d. Find, in terms of d, the 5th
term of the A.P.

A4d

B5d

C6d

Da + 5d

E2a + 4d

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Question 1797

waec 1991

Find the coordinates of point B

A(0,1¹/₂)

B(O,2)

C(2,0)

D(1¹/₂, 2)

E(1¹/₂, 0)

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Question 1798

waec 1991

The shaded portion shows the outer boundary
of the half plane defined by the inequality

A4x + 3y \(\geq\) 6

B4x + 3y = 6

C4x + 3y < 6

D3y >6

E4x < 6

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Question 1799

waec 1991

In the diagram above, PXR and PYO are two semicircles with diameters 14cm and 7cm respectively. Find the perimeter of the region (take \(\pi\) = \(\frac{22}{7}\) )

A22cm

B33cm

C40cm

D47cm

E66cm

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Question 1800

waec 1991

In the diagram above, PXR and PYO are two semi-circles with diameters 14cm and 7cm respectively. Find the area of the enclosed region, PXROY correct to the nearest whole number

A96cm²

B116cm²

C154cm²

D192cm²

E385cm²

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Question 1801

waec 1991

Mrs. Kofi sold an article for C7.50 instead of C12.75. Calculate her percentage of error, correct to one decimal place.

A41.2%

B18.3%

C5.3%

D1.7%

E1.4%

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Question 1802

waec 1991

A car is travelling at an average speed of 80km/hr. Its speed in meters per second (m/s) is

A13.3m/s

B22.2m/s

C133.3m/s

D222.2m/s

E1333.3m/s

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Question 1803

waec 1991

A headmaster contributes 7% of his income into a fund and his wife contributes 4% of her income. If the husband earns N5,500 per annum (p.a) and the wife earns N4,000 (P.a), find the sum of their annual contribution to the fund

AN1045

BN605

CN545

DN490

EN440

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Question 1804

waec 1991

A cylinder of base radius 4cm is open at one end . If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder

A1cm

B2cm

C4cm

D8cm

E16cm

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Question 1805

waec 1991

If 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?

D10

E17

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Question 1806

waec 1991

Solve: 6(x - 4) + 3(x + 7) = 3

A3/2

B2/3

C1/2

D1/3

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Question 1807

waec 1991

Find the equation whose roots are -2/3 and -1/4

A12x² + 11x + 2 = 0

B12x² - 11x + 2 = 0

Cx² - 11/12x + 2 = 0

D12x² - 11x - 2 = 0

Ex² - 11/12x - 2 = 0

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Question 1808

waec 1991

Simplify: \(\frac{1}{4}(2^n - 2^{n + 2}\))

A\(2^{n - 2} - 2^n\)

B\(2^{n-2}(1-2^n\))

C\(2^n + 2^{2 + n}\)

D\(2^{2n}\)

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Question 1809

waec 1991

Simplify \((\frac{3}{x} - \frac{15}{2y}) \div \frac{6}{xy}\)

A\(\frac{2y - 5x}{4}\)

B\(\frac{9(2x - 5x)}{x^2y^2}\)

C\(\frac{5x - 2y}{2}\)

D\(\frac{c^2y^2}{18y - 45x}\)

E\(\frac{4}{2y - 5x}\)

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Question 1810

waec 1991

Solve the equation: 3a + 10 = a\(^2\)

Aa = 5 or a = 2

Ba = -5 or a = 2

Ca = 10 or a = 0

Da = 5 or a = 0

Ea = 5 or a = -2

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