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.
If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q
{6}
{7}
{6,7}
{5,6}
Correct answer is C
Q = (P \(\cup\) Q) - P
{6,7}
Evaluate Log28 + Log216 - Log24
3
4
5
6
Correct answer is C
\( = log_2 \frac{8 \times 16}{4}\)
\( = log_2 32\)
\( = log_2 2^5\)
\( = 5log_2 2\)
\( = 5 \times 1\)
\( = 5 \)
Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)
3\(\sqrt{6} - 7\)
3\(\sqrt{6} + 7\)
3\(\sqrt{6} - 1\)
3\(\sqrt{6} + 1\)
Correct answer is A
\(= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)
\(= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}\)
\(= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}\)
\(= \frac{4 - 3\sqrt{6} + 3}{-1}\)
\(= \frac{7 - 3\sqrt{6}}{-1}\)
\(= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}\)
\(= -7 + 3\sqrt{6}\)
\(= 3\sqrt{6}-7\)
4
5
8
10
Correct answer is D
8x-2 = 2/25
x-2 = 2/25 x 1/8
x-2 = 2/200
x-2 = 1/100
1/x2 = 1/100
x2 = 100
x = 10
If log7.5 = 0.8751, evaluate 2 log75 + log750
6.6252
6.6253
66.252
66.253
Correct answer is B
If log 7.5 = 0.8751
Then 2log75 + log750
= 2(1.8751) + 2.8751
= 3.7502 + 2.8751
= 6.6253