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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 1441

jamb 1999

the shaded portion in the graph is represented by

Ay + x - x \(\leq\) 0, y - x \(\leq\) 0

By - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0

Cy + x - 3 \(\geq\) 0, y + x \(\leq\) 0

Dy - x + x3 \(\geq\) 0, y + x \(\leq\) 0

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Question 1442

jamb 1999

The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?

A35%

B45%

C50%

D60%

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Question 1443

jamb 1999

If y = 3x\(^2\)(x\(^3\) + 1)\(^{\frac{1}{2}}\). Find \(\frac{\text{dy}}{\text{dx}}\)

A\(\frac{9x^4 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)

B\(\frac{3x^2 + 6x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)

C\(\frac{9x^2 + 12x (x^3 + 1)}{2\sqrt{x^3 + 1}}\)

D\(\frac{15x^4 + 6x}{6x^2\sqrt{x^3 + 1}}\)

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Question 1444

jamb 1999

Find the value of l in the frustrum above

A5cm

B6cm

C7cm

D8cm

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Question 1445

jamb 1999

If the standard deviation of the set of numbers 3, 6, x, 7, 5 is 2, find the least possible value of x.

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Question 1446

jamb 1999

Given that Q = \(\begin{pmatrix} 6 & 0 \\ 4 & 5 \end{pmatrix}\) and Q + P = \(\begin{pmatrix} 7 & -2 \\ 6 & 8 \end{pmatrix}\). Evaluate | Q + 2P|.

A90

B96

C102

D120

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Question 1447

jamb 1999

Three boys play a game of luck in which their respective chances of winning are \(\frac{1}{2}\), \(\frac{1}{3}\), and \(\frac{1}{4}\). What is the probability that one and only one of the boys wins the game?

A\(\frac{1}{24}\)

B\(\frac{1}{12}\)

C\(\frac{11}{24}\)

D\(\frac{23}{24}\)

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Question 1448

jamb 1999

How many two-digit numbers can be formed from the digits 0, 1, 2, 3 if a digit can be repeated and no number begins with 0?

B12

C20

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Question 1449

jamb 1999

Tope bought x oranges at N5.00 each and some mangoes at N4.00 each. If she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of the value of x.

A4\(\leq\) x \(\leq\) 5

B5\(\leq\) x \(\leq\) 8

C5\(\leq\) x \(\leq\) 10

D8\(\leq\) x \(\leq\) 10

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Question 1450

jamb 1999

If the minimum value of y = 1 + hx - 3x\(^2\) is 13, find h.

A13

B12

C11

D10

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Question 1451

jamb 1999

Find the value of x for which the function y = x\(^3\) - x has a minimum value.

A\(-\sqrt{3}\)

B\(-\frac{\sqrt{3}}{3}\)

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

D\(\sqrt{3}\)

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Question 1452

jamb 1999

Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\)

A\(\frac{-10}{3}\)

D11

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Question 1453

jamb 1999

What is the derivative of t² sin (3t - 5) with respect to t?

A6t cos (3t - 5)

B2t sin (3t - 5) - 3t² cos (3t - 5)

C2t sin (3t - 5) + 3t² cos (3t - 5)

D2t sin (3t - 5) + t² cos 3t

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Question 1454

jamb 1999

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A81 π cubic units

B36 π cubic units

C18 π cubic units

D9 π cubic units

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Question 1455

jamb 1999

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}

Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

A\(\sqrt{2 +1}\)

B\(\sqrt{2 }-1\)

C\(-\sqrt{2 }-1\)

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

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Question 1456

jamb 1999

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

A4 sq units

B2 sq units

C\(\frac{4}{3}sq\hspace{1 mm}units\)

D\(\frac{1}{3}sq\hspace{1 mm}units\)

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Question 1457

jamb 1999

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

A2x + 2y = 9

B2x + 3y = 8

C2x + y = 9

Dx + 2y = 8

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Question 1458

jamb 1999

From a point P, the bearings of two points Q and R are N67ºW and N23ºE, respectively. If the bearing of R from Q is N68ºE and PQ = 150m, calculate PR

A120m

B140m

C150m

D160m

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Question 1459

jamb 1999

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

A-7/4

B7/8

C7/4

D7/2

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Question 1460

jamb 1999

In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of angle M meets NO at P, calculate NP.

A4.8 units

B7.2 units

C8.0 units

D18.0 units

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