Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 19 2,359 total questions
Question 1171
jamb 1978

What is the number whose logarithm to base 10 is 2.3482?

A223
B2228
C2.235
D22.37
E0.2229
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Question 1172
jamb 1978

If x\(^2\) + 4 = 0, then x ?

A4
B-4
C2
D-2
ENone of the above
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Question 1173
jamb 1978

Multiply (x + 3y + 5) by (2x2 + 5y + 2)

A2x2 + 3yx2 + 10xy + 15y2 + 13y + 10x2 + 2x + 10
B2x3 + 6yx2 + 5xy + 15y2 + 31y + 10x2 + 2x + 10
C2x3 + 6xy2 + 5xy + 15y2 + 12y + 10x2 + 2x + 10
D2x2 + 6xy2 + 5xy + 15y2 + 13y + 10x2 + 2x + 10
E2x3 + 2yx2 + 10xy + 10y2 + 31y + 5x2 + 10
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Question 1174
jamb 1978

The sum of \(3\frac{7}{8}\) and \(1\frac{1}{3}\) is less than the difference between \(\frac{1}{8}\) and \(1\frac{2}{3}\) by:

A3\(\frac{2}{3}\)
B5\(\frac{1}{4}\)
C6\(\frac{1}{2}\)
D8
E8\(\frac{1}{8}\)
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Question 1175
jamb 1978

A rectangular picture 6cm by 8cm is enclosed by a frame \(\frac{1}{2}\)cm wide. Calculate the area of the frame

A15sq.cm
B20sq.cm
C13sq.cm
D16sq.cm
E17sq.cm
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Question 1176
jamb 1978

If x\(^4\) - kx\(^3\) + 10x\(^2\) + lx - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and l

Ak = -7, 1 = -15
Bk = -15, 1 = -7
Ck = \(\frac{15}{3}\) , 1 = -7
Dk = \(\frac{7}{3}\) , 1 = -17
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Question 1177
jamb 1978
A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius \(\frac{1}{2}\)cm is immersed in the water, then the rise of water is
A1cm
B\(\sqrt{\frac{3\pi}{24}}\)
C\(\frac{\pi}{24\sqrt{3}}\)
D24\(\sqrt{3}\)
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Question 1178
jamb 1978

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

A36\(\pi\)cm2
B54\(\sqrt{3}\)cm2
C\(\sqrt{3}\)cm2
D\(\frac{1}{x - 1}\)
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Question 1179
jamb 1978

A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to

A12cm
B6cm
C6\(\sqrt{2}\)cm
D12\(\sqrt{2}\)cm
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Question 1180
jamb 1978

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

A351
B531
C135
D153
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Question 1181
jamb 1978

In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is

A\(\frac{860}{3}\)
B\(\frac{680}{3}\)
C\(\frac{608}{3}\)
D\(\frac{680}{27}\)
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Question 1182
jamb 1978

The minimum point on the curve y = x2 - 6x + 5 is at

A(1, 5)
B(2, 3)
C(-3, -4)
D(3, -4)
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Question 1183
jamb 1978

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

A\(\sqrt{3}\) units
B3 units
C\(\sqrt{41 + 20 \sqrt{2}}\) units
D\(\sqrt{41 - 20 \sqrt{2}}\) units
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Question 1184
jamb 1978

Simplify \(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\)

A\(\frac{4ab}{a - b}\)
B\(\frac{-4ab}{a^2 - b^2}\)
C\(\frac{-4ab}{a^{-2} - b}\)
D\(\frac{4ab}{a^{-2} - b^{-2}}\)
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Question 1185
jamb 1978
If y = 2x2 + 9x - 35. Find the range of values for which y < 0.
A7 < x < \(\frac{5}{2}\)
B-5 < 7 < x
C-7 < x < 5
D-7 < x < \(\frac{5}{2}\)
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Question 1186
jamb 1978

Find the square root of 170 - 20\(\sqrt{30}\)

A2 \(\sqrt{10}\) - 5\(\sqrt{3}\)
B2 \(\sqrt{5}\) - 5\(\sqrt{6}\)
C5 \(\sqrt{10}\) - 2\(\sqrt{3}\)
D3 \(\sqrt{5}\) - 8\(\sqrt{6}\)
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Question 1187
jamb 1978

The number of telephone calls N between two cities A and B varies directly as the population P\(_{A}\), P\(_B\) respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation?

AN = \(\frac{kp_A}{D^2} + {cp_B}{D^2}\)
BN = \(\frac{k P_{A} P_{B} }{D^2}\)
CN = \(\frac{kD_AP_D}{B^2}\)
DN = \(\frac{kD^2_AP_D}{B}\)
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Question 1188
jamb 1978

The sum of the progression is 1 + x + x2 + x3 + ......

A\(\frac{1}{1 - x}\)
B\(\frac{1}{1 + x}\)
C\(\frac{1}{x - 1}\)
D\(\frac{1}{x}\)
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Question 1189
jamb 1978

Arrange \(\frac{3}{5}\),\(\frac{9}{16}\), \(\frac{34}{59}\) and \(\frac{71}{97}\) in ascending order of magnitude.

A\(\frac{3}{5}\), \(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{71}{97}\)
B\(\frac{9}{16}\), \(\frac{34}{59}\), \(\frac{3}{5}\) , \(\frac{71}{97}\)
C\(\frac{3}{5}\), \(\frac{9}{16}\), \(\frac{71}{97}\), \(\frac{34}{59}\)
D\(\frac{9}{16}\), \(\frac{3}{5}\), \(\frac{71}{97}\), \(\frac{34}{59}\)
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