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.
Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.
4
5
6
7
Correct answer is D
l\(^2\) = 3 (k + m)
Since they are consecutive positive numbers, we have
l = k+1, m = k+2.
\(\to\) (k+1)\(^2\) = 3(k + k + 2)
k\(^2\) + 2k + 1 = 3(2k + 2)
k\(^2\) + 2k + 1 = 6k + 6
k\(^2\) + 2k - 6k + 1 - 6 = 0
k\(^2\) - 4k - 5 = 0
k\(^2\) - 5k + k - 5 = 0
k(k - 5) + 1(k - 5) = 0
k = -1 or 5
Since k, l and m are positive, then k = 5.
m = k + 2 = 5 + 2
= 7.
4≤X≤5
5≤X≤8
5≤X≤10
8≤X≤10
Correct answer is C
Number of oranges = X; Costing N5X.
Number of mangoes = 2X; Costing N8X.
\(\therefore 65 \leq 5X + 8X \leq 130\)
\(5 \leq X \leq 10\)
Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).
(x+y+6)(x+y-3)
(x-y-6)(x-y+3)
(x-y+6)(x-y-3)
(x+y-6)(x+y+3)
Correct answer is A
Expand the options and collect like terms to check which gives the presented expression.
Expansion of Options A:
(x+y+6)(x+y-3) → \(x^2+xy-3x + xy+y^2-3y +6x+6y-18\)
Collect like terms: \(x^2 + xy + xy + y^2 +6x - 3x +6y - 3y - 18\)
= \(x^2 + 2xy + y^2 + 3x + 3y - 18\)
2/3
1/2
-1/2
-2/3
Correct answer is D
\(a*a^{-1} = aa^{-1} + a + a^{-1} = e\)
if e = 0
\(2.2^{-1} + 2 + 2^{-1} = 0\)
collecting like terms, we have:
\(3.2^{-1} + 2 = 0\)
= \(2^{-1}\) = -\(\frac{2}{3}\)
p/2
3p/2
5p/2
3p
Correct answer is B
Let the numbers be x and y
x+y = 2p.....(i)
x-y = p......(ii)
2x = 3p
x = 3p/2