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4,407 questions

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Question 1451

jamb 1999

A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man's head and the bird is 25m, what is the height of the tree?

A26.7m

B14.2m

C\(1.7+(25\frac{\sqrt{3}}{2}m\)

D\(1.7+(25\frac{\sqrt{2}}{2}m\)

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Question 1452

jamb 1999

Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.

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Question 1453

jamb 1999

Divide 4x\(^3\) - 3x + 1 by 2x - 1

A2x²-x+1

B2x²-x-1

C2x²+x+1

D2x²+x-1

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Question 1454

jamb 1999

The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

A8/5

B8/3

C72/25

D56/9

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Question 1455

jamb 1999

Express \(\frac{1}{x^{3}-1}\) in partial fractions

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

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

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

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

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Question 1456

jamb 1999

Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.

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Question 1457

jamb 1999

Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).

A(x+y+6)(x+y-3)

B(x-y-6)(x-y+3)

C(x-y+6)(x-y-3)

D(x+y-6)(x+y+3)

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Question 1458

jamb 1999

A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

A2/3

B1/2

C-1/2

D-2/3

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Question 1459

jamb 1999

The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers

Ap/2

B3p/2

C5p/2

D3p

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Question 1460

jamb 1999

If \(m*n = (\frac{m}{n} - \frac{n}{m}\)) for m, n belong to R, evaluate -3*4

A\(\frac{-25}{12}\)

B\(\frac{-7}{12}\)

C\(\frac{7}{12}\)

D\(\frac{25}{12}\)

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Question 1461

jamb 1999

Simplify \(\sqrt{\frac{(0.0023 \times 750)}{(0.00345 \times 1.25)}}\)

A15

B20

C40

D75

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Question 1462

jamb 1999

If 2\(_9\) x (Y3)\(_9\) = 3\(_5\) x (Y3)\(_5\), find the value of Y.

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Question 1463

jamb 1999

What is the answer when 2434\(_6\) is divided by 42\(_6\)?

A23₆

B35₆

C52₆

D55₆

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Question 1464

jamb 1999

A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss.

A30% gain

B25% gain

C30% loss

D25% loss

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Question 1465

jamb 1999

If \(\frac{({a^2b^{-3}c})^{3/4}}{a^{-1}b^4c^5}\) = \(a^p b^q c^r\); what is the value of p+2q?

A(5/2)

B-(5/4)

C-(25/4)

D-10

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Question 1466

jamb 1999

Find the matrix T if ST = I where S = \(\begin{pmatrix} -1 & 1 \\ 1 & -2 \end{pmatrix}\)

A\(\begin{pmatrix} -2 & -1 \\ -1 & -1 \end{pmatrix}\)

B\(\begin{pmatrix} -2 & -1 \\ -1 & 1 \end{pmatrix}\)

C\(\begin{pmatrix} -1 & -1 \\ 0 & -1 \end{pmatrix}\)

D\(\begin{pmatrix} -1 & 1 \\ 0 & 1 \end{pmatrix}\)

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Question 1467

jamb 1999

Find the value of X if \(\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}\)

A3√2+4

B3√2-4

C3-2√2

D4+2√2

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Question 1468

jamb 1999

If log\(_810\) = X, evaluate log\(_85\) in terms of X.

A\(\frac{1}{2}\)X

BX-\(\frac{1}{4}\)

CX-\(\frac{1}{3}\)

DX-\(\frac{1}{2}\)

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Question 1469

jamb 1999

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A25

B19

C18

D17

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Question 1470

waec 1998

Arrange in ascending order of magnitude \(26_8, 36_7, and 25_9\)

A\(25_9 26_8 36_7\)

B\(26_8 25_9 36_7\)

C\(36_7 26_8 25_9\)

D\(36_7 25_9 26_8\)

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