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.

176.

If a dress is sold for #3800.00 at 20% discount. what is its original price?

A.

#3,000.00

B.

#4,000.00

C.

#5,000.00

D.

#4,750.00

Correct answer is D

It is given that the cost of the item reduces to #3800.00 after the discount on the item.

Let original price = x

x – (20% of x) = 100

⇒ x – 0.2x = 100

⇒ 0.8x = #3800

⇒ x = \(\frac{3800}{0.8}\)

⇒ x = 4,750

177.

The number line represented by the inequality

A.

x≤2

B.

x<2

C.

x≥2

D.

x>2

Correct answer is C

x ≥ 2 is represented by an arrow with an filled-in dot above the 2.

The arrow points in the direction of all the numbers that are greater than 2.

178.

Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x. 

A.

x <-2

B.

x>2

C.

x>-2

D.

x<2

Correct answer is A

Three times a certain number (x) = 3x

minus 2 = -2

is less than = <

the number minus 6 = x -6

Mathematically; 3x - 2 < x - 6

collect like terms

3x - x < -6 + 2

2x < -4

x < -2 is  the possible values of x

179.

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

A.

10

B.

30

C.

15

D.

40

Correct answer is A

n(PuQ) = n(p) + n(q) -  n(PnQ)

40 = 20 + 30 -  n(PnQ)

n(PnQ) = 50 - 40 = 10

180.

Factorize 4a\(^2\) - 9b\(^2\)

A.

(2a-3b) (2a+3b)

B.

(2a-b) (2a+3b)

C.

(2a-3b) (a+3b)

D.

(a-3b) (a+3b)

Correct answer is A

Check:
(2a-3b) (2a+3b)

4a\(^2\) + 6ab - 6ab - 9b\(^2\)

 4a\(^2\) - 9b\(^2\)