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.

3,601.

In how many ways can 9 people be seated if 3 chairs are available?

A.

720

B.

504

C.

336

D.

210

Correct answer is B

9P3 = _9! ways
(9-3)!

 

= 9!
6!

 

 

= 9x8x7x6!
___6!


= 504 ways

 

3,602.
3,603.

What is the mean deviation of x, 2x, x+1 and 3x. If their mean is 2?

A.

0.5

B.

1.0

C.

1.5

D.

2.0

Correct answer is A

x x x-X /x-X/
x 1 -1 1
2x 2 0 0
x+1 2 0 0
3x 3 1 1
      ∑/x-X/=2

 

Mean = x+2x+x+1+3x
____4

 

 

2 = 7x+1
_4


8 = 7x+1
7x = 8-1
7x = 7
x = 1

 

 

Mean deviation = ∑/x-X/
__n

 

 

= 2
4

 

 

= 1
2


= 0.5

 

3,604.

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

A.

4

B.

3

C.

2

D.

1

Correct answer is C

x f fx
5 3 15
8 2 16
6 4 24
k i k
  f=10 fx=55+k  

 

Mean = fx
fx

 

 

5.7 = 55+k
10


57 = 55 + k
k = 57 - 55
k = 2

 

3,605.

The probability of a student passing any examination is 2/3. If the student takes three examinations, what is the probability that he will not pass any of them?

A.

2/3

B.

4/9

C.

8/27

D.

1/27

Correct answer is D

P(pass) = 2/3
P(not pass) = 1 - 2/3 = 1/3
P(not passing any of the 3 Exams) = 1/3 x 1/3 x 1/3
= 1/27