Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

3,241.

If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal

A.

[1,2,4,6,7,8]

B.

[1,2,4,7,8]

C.

[1,4.7,8]

D.

[2.6.7]

E.

[2.4]

Correct answer is A

R = {2, 4, 6, 7}; S = {1, 2, 4, 8}

R \(\cup\) S = {1, 2, 4, 6, 7, 8}

3,242.

lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.

A.

9/16

B.

3/4

C.

1

D.

4/3

E.

16/6

Correct answer is C

16/9, x, 1, y => a, ar, ar2, ar3
ar2 = 1 => 16r2/9 = 1 => 16r2
9 => r2 = 9/16 => r = 3/4
ar2 = y = ar2 x r = 1 x 3/4 = 3/4
x xy = 4/3 x 3/4 = 1

3,243.

Find the nth term Un of the A.P., 11, 4, -3,....... .

A.

Un=19+7n

B.

Un=19-7n

C.

Un=18+7n

D.

Un= 18-7n

E.

Un= 17-7n

Correct answer is D

A.P 11, 4, -3
1st term = 11
A.P = a, a + d, a + 2d ...... a + (n - 1)d
If a = 11
a + d = 4
d = 4 - 11 = -7
nth term = a + (n-1)d
         = 11 + (n-1)(-7)
         = 11 - 7n + 7
         = 18 - 7n

3,244.

By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?

A.

N1,200.00

B.

N900.00

C.

N450.00

D.

N400.00

E.

N200.00

Correct answer is D

S.P = N600.00

(100 + 50)% = N600

150% = N600

1% = \(\frac{600}{150}\)

100% = \(\frac{600}{150} \times 100%\)

= N400

3,245.

Given that log2a = log84, find a

A.

21/3

B.

42/3

C.

42/3

D.

22/3

E.

23

Correct answer is D

Log2a = Log84
Log2a = Log882/3 → 2/3Log88 → 2/3 x 1
Log2a = 2/3
Recall; If Logax = y ∴ ay = x
Log2a = 2/3
22/3 = a