Evaluate \(\int_0^1 4x – 6\sqrt[3] {x^2}dx\)
- A. - \(\frac{5}{8}\)
- B. - \(\frac{8}{5}\)
- C. \(\frac{8}{5}\)
- D. \(\frac{5}{8}\)
Let ‘*’ and ‘^’ be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).
- A. -49
- B. 64
- C. 113
- D. 15
Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
- A. 2
- B. 0
- C. 2\(^0\)
- D. \(\frac{1}{2}\)
How many different 8 letter words are possible using the letters of the word SYLLABUS?
- A. (8 - 1)!
- B. \(\frac{8!}{2!}\)
- C. \(\frac{8!}{2! 2!}\)
- D. 8!
If a dress is sold for #3800.00 at 20% discount. what is its original price?
- A. #3,000.00
- B. #4,000.00
- C. #5,000.00
- D. #4,750.00
The number line represented by the inequality
- A. x≤2
- B. x<2
- C. x≥2
- D. x>2
Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x.
- A. x <-2
- B. x>2
- C. x>-2
- D. x<2
If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)
- A. 10
- B. 30
- C. 15
- D. 40
Factorize 4a\(^2\) – 9b\(^2\)
- A. (2a-3b) (2a+3b)
- B. (2a-b) (2a+3b)
- C. (2a-3b) (a+3b)
- D. (a-3b) (a+3b)
Find x if the mean of 2x, 4x, 2x – 13 and 6x is 4.
- A. 1.5
- B. 2.0
- C. 1.0
- D. 0.5
If 8, p, q and 26 is an A.P. Find the values of p and q
- A. p = 14 and q = 14
- B. p = 20 and q = 14
- C. p = 20 and q = 20
- D. p = 14 and q = 20
If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12
- A. 4
- B. 1
- C. 2
- D. 3
Let (*) be a binary operation on a natural number defined by a * b = a – b + (ab)\(^2\), then find 3 * 5
- A. 223
- B. 232
- C. 32
- D. -232
In the diagram above, XY = 8cm and OX = 5cm. Find Oz
- A. 9cm
- B. 3.4cm
- C. 9.1cm
- D. 3cm
Given that S = \(3t^{2}\) + 5t – 10 is displacement of a particle in metres, calculate it initial velocity.
- A. 10m/s
- B. 2m/s
- C. 5m/s
- D. 6m/s
The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?
- A. ( \(\frac{1}{2}\), \(\frac{15}{2}\) )
- B. ( \(\frac{1}{2}\), \(\frac{-15}{2}\) )
- C. ( \(\frac{-1}{2}\), \(\frac{-15}{2}\) )
- D. ( \(\frac{-1}{2}\), \(\frac{15}{2}\) )
The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?
- A. 3000
- B. 1000
- C. 2000
- D. 4000
The equivalent of (10110.011)\(_2\) in base 10 is?
- A. 26.325
- B. 24.372
- C. 42.443
- D. 22.375
Calculate the median of 14, 17, 10, 13, 18 and 10.
- A. 12.5
- B. 13.5
- C. 13.2
- D. 14.5
Find the equation of a straight line parallel to the line 2x – y = 5 and having intercept of 5
- A. 2x + y = 5
- B. 2x + y = -5
- C. 2x - y = -5
- D. 2x - y = 5