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.

3,756.

Find the variance of 2x, 2x-1 and 2x+1

A.

2/3

B.

2

C.

√(2/3)

D.

1

Correct answer is A

No explanation has been provided for this answer.

3,757.

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/5, find the value of x

A.

8

B.

10

C.

4

D.

6

Correct answer is D

Black = 5
White = 4
Red = x
Total = 9+x
P(red) = 2/3
x / (9+x) = 2/5
5x = 2(9+x)
5x = 18+2x
5x-2 = 18
3x = 18
x = 6

3,758.

If the mean of five consecutive integers is 30, find the largest of the numbers

A.

28

B.

30

C.

32

D.

34

Correct answer is C

Let the consecutive numbers be a, a+1, a+2, a+3, a+4
Mean = \(\frac{(a+a+1+a+2+a+3+a+4)}{5}\\
30 = \frac{5a+10}{5}\\
30 \times 5 = 5a + 10\\
5a = 150 - 10\\
5a = 140\\
a = 28 \\
∴ a + 4 = 28 + 4\\
= 32\)

3,759.

A final examination requires that a student answer any 4 out of 6 questions. In how many ways can this be done?

A.

15

B.

20

C.

30

D.

45

Correct answer is A

The question will be answered in
\(^5C_4 = \frac{6!}{(6-4)!4!}\\=\frac{6!}{2!4!}\\=\frac{6\times5\times4!}{2\times1\times4!}\\=15\hspace{1mm}ways\)

3,760.

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

A.

1/20

B.

1/3

C.

3/20

D.

7/10

Correct answer is C

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {x/x is divisible by 2}
A = {2,4,6,8,10,12,14,16,18,20}
B = {x/x is divisible by 3}
A ∩ B = {6, 12, 18}
P(Number divisible by both 2 and 3)
= 3/20