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.
W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7
6/35
10/21
21/10
35/6
Correct answer is A
\(W ∝ U\\
W = KU\\
K = \frac{W}{U}\\
K = \frac{5}{3}\\
W = \frac{5}{3}U\\
\frac{2}{7} = \frac{5}{3}U\\
U = \frac{2}{7} \times \frac{3}{5}\\
U = \frac{6}{35}\)
A polynomial in x whose roots are 4/3 and -3/5 is?
15x2 - 11x – 12
15x2 + 11x – 12
12x2 - x – 12
12x2 + 11x – 15
Correct answer is A
If 4/3 and -3/5 are roots of a polynomial
Imply x = 4/3 and - 3/5
3x = 4 and 5x = -3
∴3x-4 = 0 and 5x+3 = 0 are factors
(3x-4)(5x+3) = 0 product of the factors
15x2 + 9x – 20x – 12 = 0 By expansion
15x2 - 11x – 12 = 0
If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?
\(\frac{p^2 t}{s^3}\)
\(\frac{p^3 t}{s^3}\)
\(\frac{p^3 t}{s^2}\)
\(\frac{p^ t}{s^3}\)
Correct answer is A
\(p =\sqrt{\frac{rs^3}{t}}\\=
p^2 =\frac{rs^3}{t}\\
tp^2 = rs^3\\
r = \frac{p^2 t}{s^3}\)
I.S∩T∩W=S
II. S ∪ T ∪ W = W
III. T ∩ W = S
If S⊂T⊂W, which of the above statements are true?
I and II
I and III
II and III
I, II and III
Correct answer is A
If S \(\subset\) T \(\subset\) W,
S \(\cap\) T \(\cap\) W = S is true since S \(\cap\) T = S and S \(\cap\) W = S.
S \(\cup\) T \(\cup\) W = W is also true. S \(\cup\) T = T and T \(\cup\) W = W.
However, to say that T \(\cap\) W = S is not very true mathematically. Instead, it is safe to say S \(\subset\) (T \(\cap\) W).
{5,10}
{5, 10, 15}
{2, 5, 10}
{5, 10, 15, 20}
Correct answer is A
X = {n(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Put X = 1, 2, 3, 4, and 5
Y = {5, 10, 15, 20, 25}
X \(\cap\) Y = {2, 5, 10, 17, 26} \(\cap\) {5, 10, 15, 20, 25}
= {5, 10}