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JAMB Mathematics Past Questions & Answers - Page 205

1,021.

Write h in terms of a, b, c, d if a = b(1ch)adh

A.

h = abad

B.

h = 1badbc

C.

h = (ab)2adbc

D.

h = abadbc

E.

h = baabdc

Correct answer is D

a = b(1ch)adh

a = bbch1dh

= a - adh

= b - bch

a - b = bch + adn

a - b = adh

a - b = h(ad - bc)

h = abadbc

1,022.

Find x if log9x = 1.5

A.

72.0

B.

27.0

C.

36.0

D.

3.5

E.

24.5

Correct answer is B

If log9x = 1.5,

91.5 = x

9^32 = x

(√9)3 = 3

∴ x = 27

1,023.

John gives one-third of his money to Janet who has N105.00. He then finds that his money is reduced to one-fourth of what Janet now has. Find how much money john has at first

A.

N45.00

B.

N48.00

C.

N52.00

D.

N60.00

E.

N52.00

Correct answer is A

Let x be John's money, Janet already had N105, 13 of x was given to Janet

Janet now has 132x + 105 = x+3153

John's money left = 23x

= 14(x+315)3

= 23

24x = 3x + 945

∴ x = 45

1,024.

Find correct to two decimals places 100 + 1100 + 31000 + 2710000

A.

100.02

B.

1000.02

C.

100.22

D.

100.01

E.

100.51

Correct answer is A

100 + 1100 + 31000 + 2710000

1000,000+100+30+2710000 = 1,000.15710000

= 100.02

1,025.

List all integers satisfying the inequality -2  2 x -6 < 4

A.

2, 3, 4, 5

B.

2, 3, 4

C.

2, 5

D.

3, 4, 5

E.

4, 5

Correct answer is B

-2 2x - 6 < 4 = 2x - 6 < 4

= 2x < 10

= x < 5

2x -2 + 6

= x  2

∴ 2 x < 5 [2, 3, 4]