Evaluate \((101_{two})^3\)
- A. \(111101_{two}\)
- B. \(11111101_{two}\)
- C. \(1111101_{two}\)
- D. \(11001_{two}\)
Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1
- A. 2
- B. -4
- C. -2
- D. 4
If (x + 2) and (x – 1) are factors of the expression \(Lx + 2kx^{2} + 24\), find the values of L and k.
- A. l = -12, k = -6
- B. l = -2 , k = 1
- C. l = -2 , k = -1
- D. l = 0, k = 1
A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?
- A. 25
- B. 19
- C. 18
- D. 17
X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X
- A. 240°
- B. 150°
- C. 60°
- D. 270°
List all integers satisfying the inequality in -2 < 2x-6 < 4
- A. 2,3,4 and 5
- B. 2,3
- C. 2,5
- D. 3,4
Factorize completely 81a\(^4\) – 16b\(^4\)
- A. (3a + 2b)(2a - 3b)(9a2 + 4b2)
- B. (3a - 2b)(2a - 3b)(4a2 - 9b2)
- C. (3a - 2b)(3a + 2b)(9a2 + 4b2)
- D. (6a - 2b)(8a - 3b)(4a3 - 9b2)
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
- A. e = 1
- B. e = -1
- C. e = -2
- D. e = 0
What is the n-th term of the sequence 2, 6, 12, 20…?
- A. 4n - 2
- B. 2(3n - 1)
- C. n2 + n
- D. n2 + 3n + 2
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
- A. 5x - 30
- B. 4x + 60
- C. 60 - x
- D. 3x + 61
factorize m\(^3\) – m\(^2\) + 2m – 2
- A. (m2 + 1)(m - 2)
- B. (m - 1)(m + 1)(m + 2)
- C. (m - 2)(m + 1)(m - 1)
- D. (m2 + 2)(m - 1)
If g(x) = x\(^2\) + 3x find g(x + 1) – g(x)
- A. (x + 2)
- B. 2(x + 2)
- C. (2x + 1)
- D. (x2 + 4)
If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when
u = 2 and v = 6, find a relationship between u, v, w.
- A. uvw = 16(u + v)
- B. 16uv = 3w(u + v)
- C. uvw = 12(u + v)
- D. 12uvw = u + v
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
- A. \(\frac{(p + q)}{pw + qu}\)
- B. \(\frac{uw(p + q)}{pw + qu}\)
- C. \(\frac{uw(p + q)}{pw}\)
- D. \(\frac{uw}{pw + qu}\)
Simplify 2log \(\frac{2}{5}\) – log\(\frac{72}{125}\) + log 9
- A. 1 - 4 log3
- B. -1 + 2 log 3
- C. -1 + 5 log2
- D. 1 - 2log 2
Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?
- A. N10.80
- B. N10.67
- C. N2.80
- D. N2.67
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
- A. \(\frac{1}{8}\)
- B. \(\frac{2}{15}\)
- C. \(\frac{3}{16}\)
- D. \(\frac{7}{8}\)
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{1}{4}\)
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
- A. 3
- B. 16
- C. 38
- D. 30
4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16
- A. 48o
- B. 84o
- C. 92o
- D. 276o