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.
-1/2, 1., 1/2
1/2, 1, 1/2
1/2, 1, -1/2
1/2, -1, 1/2
Correct answer is A
This is a polynomial of the 3rd order, thus x should have three answers. Use the factors given to get values of x as 1, -1 and -2.
Form three equations, and carry out elimination and subsequent substitution to get a = -1/2, b = 1, and c = 1/2
Evaluate (1/2 - 1/4 + 1/8 - 1/16 + ...) - 1
2/3
zero
-2/3
-1
Correct answer is C
S = a/(1-r), where a = 1/2, r = -1/2.
S = 1/2 3/2 = 1/2 x 3/2 = 1/3.
1/3 - 1 = -2/3
p
p -1
p/(p-1)
p/(p+1)
Correct answer is C
If P-1 is the inverse of P and O is the identity, Then P-1 * P = P * P-1 = 0
i.e. P-1 + P - P-1.P = 0
P-1 - P-1.P = -P
P-1(1 - P) = -P
P-1 = -P/(P-1)
= P/(P-1)
The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.
19x - 17y
8x - 4y
x - y
2x
Correct answer is C
n = 3, U\(_3\) = 4x - 2y,
U\(_n\) = a + (n-1)d,
4x - 2y = a + 2d... (1)
U\(_9\) = 10x - 8y,
10x - 8y = a + 8d... (2)
Solving (1) and (2),
subtract eqn i from ii
a-a + 8d - 2d = 10x -4x - 8y- (-2y)
6d = 6x - 8y+ 2y.
6d= 6x - 6y
6d = 6( x-y)
d = x - y
A binary operation * is defined by a * b = a\(^b\). If a * 2 = 2 - a, find the possible values of a.
1, -1
1, 2
2, -2
1, -2
Correct answer is D
a * b = a\(^b\)
a * 2 = a\(^2\) = 2 - a
a\(^2\) + a - 2 = 0
a\(^2\) + 2a - a - 2 = 0
a(a+2) - 1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2