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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

Question 1 of 20 2,359 total questions

Question 721

jamb 1998

The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.

A\(\frac{1}{4}\)

B\(\frac{1}{\sqrt[3]{2}}\)

C\(\frac{1}{\sqrt[3]{3}}\)

D\(\frac{1}{\sqrt{2}}\)

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Question 722

jamb 1998

If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p

A-4, 2

B-3, \(\frac{4}{11}\)

C-\(\frac{4}{11}\), 2

D5, -3

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Question 723

jamb 1998

If x is a positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)

Ax > -\(\frac{1}{6}\)

Bx > 0

C0 < x < 4

D0 < x < \(\frac{1}{6}\)

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Question 724

jamb 1998

Express in partial fractions \(\frac{11x + 2}{6x^2 - x - 1}\)

A\(\frac{1}{3x - 1}\) + \(\frac{3}{2x + 1}\)

B\(\frac{3}{3x + 1}\) - \(\frac{1}{2x - 1}\)

C\(\frac{3}{3x + 1}\) - \(\frac{1}{2x - 1}\)

D\(\frac{1}{3x + 1}\) + \(\frac{3}{2x - 1}\)

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Question 725

jamb 1998

Divide 2x\(^{3}\) + 11x\(^2\) + 17x + 6 by 2x + 1.

Ax² + 5x + 6

B2x² + 5x - 6

C2x² + 5x + 6

Dx² - 5x + 6

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Question 726

jamb 1998

Make \(\frac{a}{x}\) the subject of formula \(\frac{x + a}{x - a}\) = m

A\(\frac{m - 1}{m + 1}\)

B\(\frac{m + 1}{1 - m}\)

C\(\frac{1 - m}{1 + m}\)

D\(\frac{m + 1}{m - 1}\)

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Question 727

jamb 1998

Solve for the equation \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0

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

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

C\(\frac{4}{9}\)

D\(\frac{9}{4}\)

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Question 728

jamb 1998

Factorize r2 - r(2p + q) + 2pq

A(r - 2q)(2r - p)

B(r - p)(r + p0

C(r - q)(r - 2p)

D(2r - q)(r + p)

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Question 729

jamb 1998

When the expression pm\(^2\) + qm + 1 is divided by (m - 1), it has a remainder is 2, and when divided by (m + 1), the remainder is 4. Find p and q respectively

A2, -1

B-1, 2

C3, -2

D-2, 3

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Question 730

jamb 1998

A man is paid r naira per hour for normal work and double rate for overtime. if he does a 35-hour week which includes q hours of overtime, what is his weekly earning in naira?

Ar(35 + q)

Bq(35r - q)

Cq(35 + r)

Dr(35 + 2q)

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Question 731

jamb 1998

A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at N15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for N50.00, how much did she make by selling all the oil?

AN62.50

BN35.00

CN31.00

DN25.00

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Question 732

jamb 1998

Find the value of k if \(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)

C\(\sqrt{3}\)

D\(\sqrt 2\)

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Question 733

jamb 1998

Given that log₄(Y - 1) + log₄(\(\frac{1}{2}\)x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

A2, 3

B3, 2

C-2, -3

D-3, -2

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Question 734

jamb 1998

If \(b^3\) = \(a^{-2}\) and \(c^{\frac{1}{3}}\) = \(a^\frac{1}{2}\)b, express c in terms of a

Aa^{-\(\frac{1}{2}\)}

Ba^{\(\frac{1}{3}\)}

Ca^{\(\frac{3}{2}\)}

Da^{\(\frac{2}{3}\)}

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Question 735

jamb 1998

Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]^-1 correct to 2 decimal places

A3.76

B1.25

C0.94

D0.75

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Question 736

jamb 1998

If \(1011_2\) + \(X_7\) = \(25_{10}\), solve for X.

A20₇

B\(14_7\)

C\(25_7\)

D\(24_7\)

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Question 737

jamb 1997

In an examination, the result of a certain school is as shown in the histogram above. How many candidates did the school present?

A12

B16

C18

D19

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Question 738

jamb 1997

The pie chart shows the income of a civil servant in a month. If his monthly income is N6000, find his monthly basic salary

AN2050

BN2600

CN3100

DN3450

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Question 739

jamb 1997

In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150o. If the angle XYZ = \(\theta\), calculate the value of sin\(\theta\)

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

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

C\(\frac{2}{5}\)

D\(\frac{1}{5}\)

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Question 740

jamb 1997

Find the volume of the prism

A990cm³

B880cm³

C550cm³

D495cm³

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