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Mathematics Questions and Answers

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.

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2,306.

p = $\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}$

Q = $\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}$
PQ is equivalent to

PP^T

pp^-1

View answer & explanation

Correct answer is A

p = $\begin{vmatrix} 0 & 3 & 0 \\ 2 & 1 & 3\\ 4 & 2 & 2 \end{vmatrix}$

Q = $\begin{vmatrix} 0 & 2 & 4 \\ 3 & 1 & 2\\ 0 & 3 & 2 \end{vmatrix}$ = p^T

pq = pp^T

2,307.

p = $\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}$

Q = $\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}$ Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

-24

-48

View answer & explanation

Correct answer is B

p = $\begin{vmatrix} 0 & 3 & 0 \\ 2 & 1 & 3\\ 4 & 2 & 2 \end{vmatrix}$

P^T = $\begin{vmatrix}0 & 2 & 4 \\ 2 & 1 & 3\\ 0 & 3 & 2 \end{vmatrix}$

/p^T/ = $\begin{vmatrix}0 & 2 & 4 \\ 3 & 1 & 3\\ 0 & 3 & 2 \end{vmatrix}$

= 0[2 - 6] - 2[6 - 0] + 4[9 - 0]

= 0 - 12 + 36 = 24

2,308.

If the binary operation $\ast$ is defined by m $\ast$ n = mn + m + n for any real number m and n, find the identity of the elements under this operation

e = 1

e = -1

e = -2

e = 0

View answer & explanation

Correct answer is B

Identity(e) : a $\ast$ e = a

m $\ast$ e = m...(i)

m $\ast$ e = me + m + e

Because m $\ast$ e = m

: m = me + m + e

m - m = e(m + 1)

e = $\frac{0}{m + 1}$

e = 0

2,309.

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

157

187

197

200

View answer & explanation

Correct answer is B

a = 2, d = 3 and n = 11

To find S_{n/sub> = $\frac{n}{2}$ [2a + (n - 1) $\delta$ ]

= $\frac{11}{2}$ [2(2) + (11 - 1) 3]

= $\frac{11}{2}$ n [4 + 10(3)]

= $\frac{11}{2}$ (34)

= 11 x 17

= 187}