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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 2191

jamb 1978

A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

A6 km/h

B8 km/h

C9 km\h

D11 km\h

E13 km\h

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Question 2192

jamb 1978

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is

A100000

B1000000

C120000

D30000

E350000

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Question 2193

jamb 1978

If \(3x - (\frac{1}{4})^{-\frac{1}{2}} > \frac{1}{4} - x \), then the interval of values of x is

Ax > \(\frac{1}{3}\)

Bx < \(\frac{1}{3}\)

Cx < \(\frac{1}{4}\)

Dx < \(\frac{9}{16}\)

Ex > \(\frac{9}{16}\)

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Question 2194

jamb 1978

If the four interior angles of a quadrilateral are (p + 10)°, (p - 30)°, (2p - 45)°, and (p + 15)°, then p is

A125^o

B82^o

C135^o

D105^o

E60^o

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Question 2195

jamb 1978

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface area reduced?

A8 : 125

B2 : 5

C8 : 25

D4 : 25

E4 : 10

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Question 2196

jamb 1978

Given that \(a*b = ab + a + b\) and that \(a ♦ b = a + b = 1\). Find an expression (not involving * or ♦) for (a*b) ♦ (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of numbers

Aac + ab + bc + b + c + 1

Bac + ab + a + c + 2

Cab + ac + a + b + 1

Dac + bc + ab + b + c + 2

Eab + ac + 2a + b + c + 1

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Question 2197

jamb 1978

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

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

B\(\frac{6}{35}\)

C\(\frac{19}{300}\)

D\(\frac{7}{200}\)

E\(\frac{5}{100}\)

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Question 2198

jamb 1978

Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is

A75 years

B60 years

C98 years

D80 years

E105 years

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Question 2199

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 2200

jamb 1978

If x\(^2\) + 4 = 0, then x ?

B-4

D-2

ENone of the above

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Question 2201

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 2202

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

E8\(\frac{1}{8}\)

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Question 2203

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 2204

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 2205

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 2206

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 2207

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 2208

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 2209

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 2210

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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