Mrs. Jones is expecting a baby. The probability that it will be a boy is 1/2 and probability that the baby will have blue eyes is 1/4. What is the probability that she will have a blue-eyed boy?
- A. 1/8
- B. 1/4
- C. 3/8
- D. 1/2
- E. 3/4
A box contains 2 white and 3 blue identical marbles. If two marbles are picked at random, one after the other without replacement, what is the probability of picking two marbles of different colors?
- A. 2/3
- B. 3/5
- C. 2/5
- D. 7/20
- E. 3/10
If events X and Y are mutually exclusive, P(X) = 1/3 and P(Y) = 2/5, P(XβͺY) is
- A. o
- B. 2/15
- C. 4/14
- D. 11/15
- E. 1
If two events are mutually exclusive, their intersection is empty. This means that there are no outcomes that are common to both events. In probability terms, if X and Y are mutually exclusive events, then:
Pr(X β© Y) = 0
- A. 0
- B. 2/15
- C. 11/15
- D. 4/15
- E. 1
The mean of 30 observations recorded in an experiment is 5. lf the observed largest value of 34 is deleted, find the mean of the remaining observations
- A. 5
- B. 4
- C. 3.9
- D. 3.4
- E. 3.0
Which of the following is not a measure of dispersion?
- A. Mode
- B. Mean deviation
- C. Range
- D. interquartile range
- E. Standard deviation
In a class of 80 students, every student had to study Economics or Geography or both Economics and Geography. lf 65 students studied Economics and 50 studied Geography, how many studied both subjects?
- A. 15
- B. 30
- C. 35
- D. 45
- E. 50
P = {2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find Pβ©Qβ©R
- A. (21/2)
- B. β
- C. (1, 3, 7)
- D. (4)
- E. (5,7,9)
P={2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find PβͺQβͺR
- A. (21/2)
- B. (1, 9)
- C. (1, 2, 3, 4, 5, 6, 7)
- D. (5, 4, 21/2)
- E. (1/2, 1, 2, 21/2, 3, 4, 5, 7, 9)
In the diagram above, ATR is a tangent at the point T to the circle center O, if β TOB = 145Β°, find β TAO
- A. 20o
- B. 35o
- C. 45o
- D. 55o
- E. 65o
The angle of elevation of the top of a tree 39m
away from a point on the ground is 30o. Find the height of the tree
- A. 39β3m
- B. 13β3m
- C. 13/\(\sqrt{3}\)m
- D. 13/3\(\sqrt{3}\)m
- E. \(\sqrt{3}\)/13m
From the top of a cliff, the angle of depression of
a boat on the sea is 60o, if the top of the cliff is
25m above the sea level, calculate the horizontal
distance from the bottom of the cliff to the boat.
- A. 50β3m
- B. 25β3m
- C. 25β3m/3
- D. 25m/3
- E. β3m/25
Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270Β°, find \(\theta\).
- A. 65o
- B. 115o
- C. 145o
- D. 245o
- E. 265o
the graph above is a sketch of
- A. y = sin 2x
- B. y=sinx
- C. y=cos2x
- D. y=2sinx
- E. y = 2cos x
Two towns, P and Q, are on (4oN 40oW) and (4oN
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of Ο and R, the radius of the earth).
- A. 2ΟR cos4o
- B. ΟR sin40o
- C. ΟR/2 cos4o
- D. ΟR/3 cos4o
- E. ΟR/6 cos4o
The common ratio of a G.P. is 2. If the 5th term is
greater than the 1st term by 45, find the 5th term,
- A. 3
- B. 6
- C. 45
- D. 48
- E. 90
The first term a of an A.P is equal to twice the
common difference d. Find, in terms of d, the 5th
term of the A.P.
- A. 4d
- B. 5d
- C. 6d
- D. a + 5d
- E. 2a + 4d
Find the coordinates of point B
- A. (0,11/2)
- B. (O,2)
- C. (2,0)
- D. (11/2, 2)
- E. (11/2, 0)