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Module-0 Dumps PDF - Module-0 Real Exam Questions Answers
NEW QUESTION 33
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
- A.
- B.
- C.
- D. it converges when p is a p positive integer.
Answer: A
NEW QUESTION 34
Calculate the single extreme point of the function:
- A. (0,4)
- B. (1.1)
- C. (0.1)
- D. (0,2)
Answer: D
NEW QUESTION 35
Identify which of the following statements are true.
I.Skewness measures how peaked a set of data is
II.Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode IV. The value of a measure of skewness can be positive, zero or negative.
- A. II, III and IV only
- B. II and IV only
- C. I and III only
- D. I and II only
Answer: B
NEW QUESTION 36
Identify which of the following statements is not always true about a probability experiment.
- A. The sum of the probabilities of all possible outcomes must be 1.
- B. The probability of an event must lie in [0,1].
- C. The sum of the probabilities of all possible events could be more than 1
- D. The probability of an event occurring equals the number of outcomes in the event space divided by the total number of possible outcomes in the sample space.
Answer: C
NEW QUESTION 37
A basketball squad contains 7 players. The team that lines up on the court tor the start of a match contains 5 ofthe players Calculate how many different teams can be fielded from the squad of 7 players
- A. 2,520
- B. 0
- C. 1
- D. 2
Answer: D
NEW QUESTION 38
Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: C
NEW QUESTION 39
Identify which of the following values is represented by:
- A. The total area under the graph of f(x) between A and B.
- B. The average gradient off(x) between A and B.
- C. The total increase in the value of f(x) between A and B.
- D. The change in the gradient off(x) between A and B.
Answer: A
NEW QUESTION 40
Consider the function
Calculate the anti-derivative of f(x).
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: C
NEW QUESTION 41
Express the following using Pi notation:
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: C
NEW QUESTION 42
Consider the following definite integral:
Determine for which combination of a and b the integral converges.
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: A
NEW QUESTION 43
Determine
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: D
NEW QUESTION 44
Simplify the expression:
A)
B)
C)
D)
- A. Option D
- B. Option A
- C. Option C
- D. Option B
Answer: D
NEW QUESTION 45
A snack bar does not give an itemised bill tor drinks In the past three visits, the total bills have been:
1) Three teas, two coffees and one lemonade cost £9.80
2) One tea four coffees and two lemonades cost £13.60
3) Two teas, two coffees andtwo lemonades cost£10
Calculate the price for a single coffee, given the prices have been the same for the three visits.
- A. £2.48
- B. £1.20
- C. £2.05
- D. £2.40
Answer: D
NEW QUESTION 46
Identify which of the following statements is correct.
- A. In (nx)
- B. In(x)+ in(n)
- C. x in(n)
- D. n in (x)
Answer: D
NEW QUESTION 47
A weekly pet insurance premium is given by a solution of the following equation:
4x2-11x-3 = 0
Calculate the premium.
- A. -£0.75
- B. -£0.25
- C. -£1
- D. -£3
Answer: D
NEW QUESTION 48
Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size
- A. II and IV only
- B. I and III only
- C. IV and V only
- D. I and II only
Answer: A
NEW QUESTION 49
Determine the stationary point(s) for the following function
- A. Minimum at x = 1 and minimum at x = 3.
- B. Maximum at x = 1 and maximum at x = 3.
- C. Minimum at x = -3 and maximum at x = -1.
- D. Minimum at x = -1 and maximum at x = -3.
Answer: D
NEW QUESTION 50
Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).
- A. 0
- B. (10,30,6)
- C. 1
- D. 2
Answer: B
NEW QUESTION 51
Two real numbers, x and y, satisfy the following inequalities:
Determine which statement is true.
- A. y can be negative.
- B. y must be positive.
- C. y cannot be zero.
- D. y cannot be negative.
Answer: D
NEW QUESTION 52
Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.
- A. a0
- B. a<0
- C. a = 0
- D. a>0
Answer: D
NEW QUESTION 53
Consider the three vectors:
Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude
- A. w
- B. v
- C. v-u
- D. u+v
Answer: D
NEW QUESTION 54
Identify which of the following statements about the mean of a data set is correct.
- A. It is a measure of the central tendency of the data.
- B. It is a measure of the range of the data.
- C. It is a measure of the spread of the data.
- D. It is a measure of the variability of the data.
Answer: C
NEW QUESTION 55
Let X be a random variable.
identify which of the following statements is correct.
A)
B)
C)
D)
- A. Option D
- B. Option A
- C. Option C
- D. Option B
Answer: D
NEW QUESTION 56
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