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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 121

waec 2023

An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate, correct to the nearest centimeter, the height of the water in the tank. (\(Take \pi = \frac{22}{7})\)

A91cm

B7cm

C13cm

D57cm

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Question 122

waec 2023

make x the subject of the relation \(y = \frac{ax^3 - b}{3z}\)

Ax = \(\sqrt[3] \frac{ax^3 - b}{3z}\)

Bx = \(\sqrt[3] \frac{3yz - b}{a}\)

Cx = \(\sqrt[3] \frac{3yz + b}{a}\)

Dx = \(\sqrt[3] \frac{3yzb}{a}\)

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Question 123

waec 2023

m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.

A35 : 18

B16 : 35

C18 : 35

D35 : 16

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Question 124

waec 2023

The radius of a sphere is 3 cm. Find, in terms of π, its volume.

A\(30\pi cm^3\)

B\(108\pi cm^3\)

C\(27\pi cm^3\)

D\(36\pi cm^3\)

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Question 125

waec 2023

Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°

A15

B17

C14

D21

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Question 126

waec 2023

The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)

A\(1,106.29cm^2\)

B\(1,016.29cm^2\)

C\(1,106.89cm^2\)

D\(1,206.27cm^2\)

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Question 127

waec 2023

A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.

A6.29m

B7.67m

C7.18m

D6.65m

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Question 128

waec 2023

Find the roots of the equations: 3m\(^2\) - 2m - 65 = 0

A\(( -5, \frac{-13}{3})\)

B\(( 5, \frac{-13}{3})\)

C\(( 5, \frac{13}{3})\)

D\(( -5, \frac{13}{3})\)

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Question 129

waec 2023

Solve \(2^{5x} \div 2^x = \sqrt[5]{2^{10}}\)

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

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

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

D\(\frac{5}{3}\)

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Question 130

waec 2023

The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.

A12

B15

C10

D14

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Question 131

waec 2023

Evaluate, correct to three decimal place \(\frac{4.314 × 0.000056}{0.0067}\)

A0.037

B0.004

C0.361

D0.036

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Question 132

waec 2023

Express \(413_7\) to base 5

A\(2311_5\)

B\(1131_5\)

C\(1311_5\)

D\(2132_5\)

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Question 133

waec 2023

For what value of x is \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\) is undefined?.

A\(\frac{1}{5}, \frac{3}{2}\)

B\(\frac{-1}{5}, \frac{3}{2}\)

C\(\frac{1}{5}, \frac{-3}{2}\)

D\(\frac{-1}{5}, \frac{-3}{2}\)

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Question 134

waec 2023

Simplify \(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

A10\(\sqrt{3}\)

B18\(\sqrt{3}\)

C14\(\sqrt{3}\)

D7\(\sqrt{3}\)

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Question 135

waec 2023

In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.

A\(58^0\)

B\(64^0\)

C\(48^0\)

D\(76^0\)

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Question 136

waec 2023

One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.

A22 and 14

B20 and 16

C21 and 15

D23 and 13

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Question 137

waec 2023

The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.

A147.78m

B104.05m

C161.87m

D192.91m

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Question 138

waec 2023

Mr Manu is 4 times as old as his son, Adu. 7 years ago the sum of their ages was 76. How old is Adu?

A22years

B12years

C18years

D15 years

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Question 139

waec 2023

There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the 2 subjects. How many student study woodwork but not metal work?

A13

B11

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Question 140

waec 2023

The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.

\((Take \pi = \frac{22}{7})\)

A\(11.6cm^2\)

B\(12.7cm^2\)

C\(10.2cm^2\)

D\(9.4cm^2\)

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