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.

3,481.

If 3\(^{2x}\) = 27, what is x?

A.

1

B.

1.5

C.

4.5

D.

18

E.

40.5

Correct answer is B

p>3\(^{2x}\) = 27

3\(^{2x}\) = 3\(^3\)

2x = 3

x = 1.5

3,482.

Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

A.

350

B.

35

C.

1/35

D.

1/350

Correct answer is C

125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

= 5\(^{-1}\) x 7\(^{-1}\) x 1

= \(\frac{1}{35}\)

3,483.

In an A.P the first term is 2, and the sum of the 1st and the 6th term is 161/2. What is the 4th term

A.

12

B.

91/2

C.

8

D.

7

E.

51/2

Correct answer is B

1st term a = 2; 6th term = a + (16-1)d = 2 + 5d
2 + (2 + 5d) = 161/2; 4 + 5d = 161/2
5d = 12.5 ∴ = 2.5
the 4th term is 2 + (4-1)2.5= 91/2

3,484.

In the diagram, O is the center of the circle, If ∠POQ = 80o and ∠PRQ = 5x, find the value of x.

A.

4o

B.

8o

C.

16o

D.

20o

E.

32o

Correct answer is B

80o = 2 x 5x(angle at the center)

=80o = 10x; x = 80o/10

= 8o

3,485.

What is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank

A.

1/6

B.

1/3

C.

1/2

D.

2/3

E.

5/6

Correct answer is A

Probability that 3 customers are attended to in the sequence they arrive 

= prob of attending to the 1st arrival x prob of attending to the second last x prob of attending to the last

= \(\frac{1}{3} \times \frac{1}{2} \times \frac{1}{1}\)

= \(\frac{1}{6}\)