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.
640
840
520
920
Correct answer is B
Number of itineraries = 7P4
=\(\frac{7!}{(7-4)!}\\
=\frac{7!}{3!}\\
=\frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}\\
=840\)
6/30
5/30
17/30
11/30
Correct answer is C
Total fruits 6 + 11 + 13 = 30,
prob. (Grape) = \(\frac{6}{30}\)
prob. (Banana) = \(\frac{11}{30}\)
= \(\frac{11}{30}\) + \(\frac{6}{30}\) = \(\frac{17}{30}\)
36
48
30
40
Correct answer is A
No explanation has been provided for this answer.
How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1-28?
12
10
9
8
Correct answer is C
3, -6, +12, -24
a = 3, r = -2
\(8n = \frac{a(1-r^n)}{1-r}\\
∴1-2^8 = \frac{3(1-(-2^{n-1}))}{1-(-2)}\\
1-2^8 = \frac{3(1-(-2^{n-1}))}{3}\)
1-28 = 1-(-2)n-1
-28 = -2n-1
8 = n-1
n = 9
If y = x\(^2\) - x - 12, find the range of values of x for which y \( \geq \) 0
x < -3 0r x > 4
x \( \leq \) -3 or x \( \geq \) 4
-3 < x \( \geq \) 4
-3 \( \leq \) x \( \leq \) 4
Correct answer is B
y = x\(^2\) - x - 12
= (x - 4)(x + 3)
∴ x = 4 or x = -3
Checking the cases for y \( \geq \) 0
We check values on the range x - 4 \(\geq\) 0; x + 3 \(\leq\) 0; x - 4 \(\leq\) 0 and x + 3 \(\geq\) 0 for the range which satisfies the inequality x\(^2\) - x - 12 \(\geq\) 0.
We find that the inequality is satisfied on the range x \(\leq\) -3 and x \(\geq\) 4.