MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B, are mutually exclusive and
each have a
nonzero probability. If event A is known to
occur, the
probability of the occurrence of event B is a. one b. any
positive value c. zero d.
4. A numerical description of the outcome of an
experiment is called
a a. descriptive statistic b. probability function c. variance
d.
random variable
5. In the textile industry, a manufacturer is
interested in the
number of blemishes or flaws occurring in each 100 feet of
material. The probability distribution that has
the greatest
chance of applying to this situation is the a. normal
distribution
b. binomial distribution c. Poisson distribution d. uniform
distribution
6. Which of the following is not a. a property of a
binomial
experiment? the experiment consists of a sequence of n
identical
trials b. each outcome can be referred to as a success or a
failure c. the probabilities of the two outcomes can change
from
one trial to the next d. the trials are independent
7. The level of significance is the a. maximum
allowable
probability of Type II error b. maximum allowable probability
of
Type I error c. same as the confidence coefficient d. same as
the p-value
8. An important application of the chi-square
distribution is a.
making inferences about a single population variance b. c. b.
testing for goodness of fit testing for the independence of
two
variables d. All of these alternatives are correct.
9. For a continuous random variable x, the probability
density
function f(x) represents a. the probability at a given value of
x
the area under the curve at x c. the area under the curve to
the right of x d. the height of the function at x
10. Convenience sampling is an example of a.
probabilistic sampling
b. stratified sampling c. nonprobabilistic sampling d.
cluster
sampling
11. In hypothesis testing, the hypothesis tentatively
assumed to be
true is a. the alternative hypothesis b. the null hypothesis
c.
either the null or the alternative d. None of these alternatives
is
correct.
12. In point estimation a. data from the population is
used to
estimate the population parameter b. data from the sample is
used
to estimate the population parameter c. data from the sample
is
used to estimate the sample statistic d. the mean of the
population equals the mean of the sample a constant variable c.
a
dummy variable d. None of these alternatives is correct.
13. A variable that takes on the values of 0 or 1 and
is used to
incorporate the effect of qualitative variables in a
regression
model is called a. an interaction b.
14. A property of a point estimator that occurs
whenever larger
sample sizes tend to provide point estimates closer to the
population parameter is known as a. efficiency b. unbiased
sampling
c. consistency d. relative estimation
15. If a hypothesis is rejected at the 5% level of
significance,
it a. will always be rejected at the 1% level b. will always
be
accepted at the 1% level c. will never be tested at the 1%
level
d. may be rejected or not rejected at the 1% level
16. Which of the following does not need to be known
in order to
compute the p-value? a. knowledge of whether the test is
one-tailed or two-tailed b. the value of the test statistic c.
the
level of significance d. None of these alternatives is
correct.
17. The ANOVA procedure is a statistical approach for
determining
whether or not a. the means of two samples are equal b. the
means of two or more samples are equal c. the means of more
than two samples are equal d. the means of two or more
populations are equal
18. The range of the Durbin-Watson statistic is
between a.1 to 1
b. 0 to 1 c.infinity to + infinity d. 0 to 4
19. A random sample of 121 bottles of cologne showed
an average
content of 4 ounces. It is known that the
standard deviation of the
contents (i.e., of the population) is 0.22 ounces. In
this
problem the 0.22 is a. a parameter b. a statistic c. the
standard error of the mean d. the average content of colognes
in
the long run
20. Maria is 6 times as old as Tina. In 20 years,
Maria will
be only twice as old as Tina. How old is Maria now? A) 25 B)
28 C) 29 D) 30
21. If a secretary types 60 words per minute, how many
minute
will he take to type 330 words? A) 11/2 B) 15/2 C) 16/3 D)
17/2 E) 19/4
22. If Scott can mow 2/5 of a lawn each hour, how many
lawns
can he mow in h hours? A) 2h/5 B) 5h/2 C) h-2/5 D) 2/5h E) 5/2h
23. If it is now June, what month will it be 100
months from
now? A) January B) April C) June D) October E) December
24. In a group of 100 students, more students are on a
team
than are members of a club. If 70 are in clubs and 20 are
neither on a team nor in a club, what is the minimum number
of student who could be both on a team and in a club? A) 61
B) 62 C) 65 D) 70 E) 75
25. A student bought 3 notebooks and 1 pen for N35.
After
misplacing these items, she again bought 2 note books and 2
pens, all of the same type for N30. What is the cost of a
pen?
A) N5.00 B) N7.50 C) N10.00 D) N15.00
26. If the simple interest on N2, 000 after 9 months
is N6,
at what rate per annum is the interest charged? A) 21.4% B) 4%
C)
5% D) 6%
27. A man bought a television set on hire purchase for
N25,
000 out of which he paid N10,000. If he is allowed to pay the
balance in eight equal installments, find the value of each
Installment. A) N1250 B) N1578 C) N1875 D) N3125
28. A car moves at an average speed of 30kmh-1, how
long does
it take to cover 200 metres? A) 2.4Sec B) 24Sec C) 144Sec D)
240Sec
29. A man bought 2220 mangoes at N5x. He sold each for
3x
kobo and made gain of N8. Find the value of x. A) 2 B) 5 C) 6
D) 10
30. The side of a square is increased from 20cm to
21cm.
Calculate the percentage increase in its area. A) 2.5% B) 9.3%
C)
10.0% D) 10.25%
31. A house bought for N100,000 was later auctioned
for
N80,000, Find the loss percent. A) 20% B) 30% C) 40% D) 50%
32. An article bought for D5,000.00 depreciate by 15%
of its
value during the first year. Find its value after a year. A)
D425.00 B) D750.00 C) D4,250.00 D) D4,985.00
33. A trader sold a pair of shoes for C 2,800.00
making a
loss of 20% on his cost price. Find his loss as a percentage
of his selling price. A) 162/3% B) 2% C) 25% D) 75%
34. The price of a litre of petrol is increased from
C30.00 to
C 39.00 . What is the percentage increase in the cost of a
litre
of petrol ? A) 90% B) 30% C) 34% D) 39%
35. A rectangle is twice as long as it is wide. If the
width is
a, what is the length of a diagonal? A) a√2 B) a√3 C) a√5 D)
3a E) 5a
36. Last year Jose sold a painting for $2000. If he
made 25%
profit on the sale, how much had he paid for the painting? A)
$1200 B) $1500 C) $1600 D) $2400 E) $2500
37. A lacrosse team raised some money. The members
used 74% of
the money to buy uniform, 18% for equipment, and the
remaining $216 for a team party. How much money did they
raise? A) $2400 B) $2450 C) $2500 D) $2600 E) $2500
38. If the length of a rectangle is 4 times its width,
and if
its area is 144, what is its perimeter? A) 6 B) 24 C) 30 D)
60
E) 96
39. If the measures of the angles of a triangle are in
the ratio
of 1:2:3, and if the perimeter of the triangle is 30 + 10
(3)½,
what is the length of the smallest side? A) 20 B) 18 C) 15 D)
12
E) 10
40. Last year Jose sold a painting for
$2000. If he made a
25% profit on the sale, how much had he paid for the
painting?
A. $1200 C. $1500 C. $1600 D. $2400 E. $2500.
41. A lacrosse team raised some money. The members
used 74% of
the money to buy a uniform, 18% for equipment, and the
remaining $216 for a team party. How much money did they
raise? A. 2400 B. 2450 C. 2500 D. 2600
42. If the measures of the angles of a
triangle are in the
ratio of 1:2:3, and if the perimeter of the triangle is 30 +
10 (3)½, what is the length of the smallest side? A. 20 B. 18
C.
15 D. 12 E. 10
43. If the difference between the measures of the two
smaller
angles of a right triangle is 200, what is the measure, in
degrees,
of the smallest angle? A. 30 B. 35 C. 40 D. 45 E. 50
44. In an office, there was a small cash box. One day
Ann
took half of the money plus $1 more. Then Dan took half of
the
money plus $1 more. Stan then took the remaining $11. How
many
dollars were originally in the box? A. $50 B. $45 C. $42 D.
$40 E. $38
45. Each of the 10 players on the basketball team shot
100
free throws, and the average number of baskets made was 75.
When
the highest and lowest scores were eliminated the average
number
of baskets for the remaining 8 players was 79. What is the
smallest
number of baskets anyone could have made? A. 22 B. 20 C. 18
D.
16 E. 14
46. Since 1950, when Martin graduated from high
school, he has
gained 2 pounds every year. In 1980 he was 40% heavier than
in 1950. What percent of his 1995 weight was his 1980 weight?
A.
80 B. 85 C. 87.5 D. 90
47. Karen played a game several times. She received $5
every
time she won and had to pay $2 every time she lost. If the
ratio of the number of times she won to the number of times
she
lost was 3:2, and if she won a total of $66, how many times
did she play the game? A. 30 B. 35 C. 40 D. 45 E. 48
48. Henry drove 100 miles to visit a friend. If he had
driven
8 miles per hour faster than he did, he would have arrived in
of the time he actually tokes. How many minutes did the trip
take? A. 100 B. 120 C. 125 D. 144 E. 150
49. Two printing presses working together can complete
a job
in 2.5 hours. Working alone, press A can do the job in 10
hours. How many hours will press B take to do the job by
itself? A. 10/3 B. 4 C. 5 C. 25/4 E. 15/12
50. If flyers for Aardvark Cellular cost $150 per
thousand.
Approximately, how many thousand have been produced? A. 23 B.
20
C. 17 D. 14 E. 18
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