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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

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Question 761

jamb 1995

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40°, find < XPY.

A100^o

B80 ^o

C50 ^o

D40 ^o

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Question 762

jamb 1995

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

Ax + 2y - 1= -0

B2x + y - 3 = 0

Cx - 2y - 3 = 0

D2x + y - 1 = 0

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Question 763

jamb 1995

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

A\(\frac{11000}{3}\)km

B\(\frac{2200}{3}\)km

C\(\frac{22000}{3}\)km

D\(\frac{1100}{3}\)km

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Question 764

jamb 1995

In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle between the internal bisectors of < XYZ and < XZY.

A12^o

B56^o

C68^o

D78^o

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Question 765

jamb 1995

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

A\(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)

B\(\begin{pmatrix} 2 & 7 \\ 4 & 17 \end{pmatrix}\)

C\(\begin{pmatrix} 10 & 4 \\ 4 & 6 \end{pmatrix}\)

D\(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)

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Question 766

jamb 1995

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

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Question 767

jamb 1995

Find the sum to infinity of the following sequence \(1, \frac{9}{10}, (\frac{9}{10})^{2}, (\frac{9}{10})^{3}\)

A\(\frac{1}{10}\)

B\(\frac{9}{10}\)

C\(\frac{10}{9}\)

D10

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Question 768

jamb 1995

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

A12

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Question 769

jamb 1995

Which of the following binary operations is cumulative on the set of integers?

Aa \(\ast\) b = a + 2b

Ba \(\ast\) b = a + b - ab

Ca \(\ast\) b = a² + b

Da \(\ast\) b = \(\frac{a(b + 1)}{2}\)

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Question 770

jamb 1995

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

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

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

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

D\(\frac{5}{x - 3} - \frac{4}{x - 2}\)

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Question 771

jamb 1995

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

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

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

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

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

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Question 772

jamb 1995

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.

A175

B85

C64

D45

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Question 773

jamb 1995

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

A3 \(\leq\) x \(\leq\) 4

B3 < x < 4

C3 \(\leq\) x < 4

D3 < x \(\leq\) 4

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Question 774

jamb 1995

Factorize completely the expression \(abx^2 + 6y - 3ax - 2byx\)

A(ax - 2y)(bx - 3)

B(bx + 3)(2y - ax)

C(bx + 3)(ax - 2y)

D(ax - 2y)(ax - b)

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Question 775

jamb 1995

The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points

A(-6, 0), (-1, 0)

B(-3, 0), (-2,0)

C(-6, 0),(1, 0)

D(2, 0), (3, 0)

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Question 776

jamb 1995

Find T in terms of K, Q, and S if S = 2r\(\sqrt{\pi(QT + K)}\)

A\(\frac{S^2}{2 \pi r^2Q} - \frac{k}{Q}\)

B\(\frac{S^2}{2 \pi r^2Q}\) - k

C\(\frac{S^2}{4 \pi r^2Q} - \frac{k}{Q}\)

D\(\frac{s^2}{4 \pi r^2Q}\)

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Question 777

jamb 1995

Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q

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Question 778

jamb 1995

If x - 1 and x + 1 are both factors of the equation x\(^3\) + px\(^2\) + qx + 6 = 0, evaluate p and q

A-6, -1

B6, 1

C1, -1

D6, -6

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Question 779

jamb 1995

If S = (x : x\(^2\) = 9, x > 4), then S is equal to

B{0}

C\(\emptyset\)

D{\(\emptyset\)}

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Question 780

jamb 1995

Four members of a school first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?

A25

B21

C16

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