Continue Practice Exam Test Questions Part d. 1/120
6 of the Series
255. Find the 1987th digit in the decimal
Choose the letter of the best answer in equivalent to 1785/9999 starting from the
each questions. decimal point
251. Find the ratio of an infinite geometric a. 8
progression if the sum is 2 and the first term
is 1/2 b. 1
a. 1/3 c. 7
b. 1/2 d. 5
c. 3/4 256. In a class of 40 students, 27 like
Calculus and 25 like Chemistry. How many
d. 1/4 like both Calculus and Chemistry?
252. If equal spheres are piled in the form of a. 10
a complete pyramid with an equilateral
triangles as base, find the total number of b. 11
spheres in the pile if each side of the base
contains 4 spheres. c. 12
a. 15 d. 13
b. 20 257. A club of 40 executives, 33 like to
smoke Marlboro and 20 like to smoke Philip
c. 18 Morris. How many like both?
d. 21 a. 10
253. Find the 6th term of the sequence 55, b. 11
40, 28, 19, 13….
c. 12
a. 10
d. 13
b. 9
258. A survey of 100 persons revealed that
c. 8 72 of them had each at restaurant P and
that 52 of them had eaten at restaurant Q.
d. 11 which of the following could not be the
number of persons in the surveyed group
254. In the series 1, 1, 1/2, 1/6, 1/24… who had eaten at both P and Q?
determine the 6th term
a. 20
a. 1/80
b. 22
b. 1/74
c. 24
c. 1/100
, d. 26 c. No
259. The probability for the ECE board d. Either yes or no
examinees from a certain school to pass the
subject Mathematics is 3/7 and for the 262. How many four-letter words beginning
subject Communications is 5/7. If none of and ending with a vowel without any letter
the examinees fails both subject and there repeated can be formed from the word
are 4 examinees who pass both subjects, “personnel”?
find the number of examinees from the
school who took the examinations. a. 40
a. 20 b. 480
b. 25 c. 20
c. 30 d. 312
d. 28 263. Five different mathematics books, 4
different electronics books and 2 different
260. In a commercial survey involving 1000 communications books are to be placed in a
persons on brand preference, 120 were shelf with the books of the same subject
found to prefer brand x only, 200 prefer together. Find the number of ways in which
brand y only, 150 prefer brand z only, 370 the books can be placed.
prefer either brand x or y but not z, 450
prefer brand y or z but not x and 370 prefer a. 292
either z or x but not y. How many persons
have no brand preference, satisfied with any b. 5760
of the three brands?
c. 34560
a. 280
d. 12870
b. 230
264. The number of ways can 3 nurses and
c. 180 4 engineers be seated on a bench with the
nurses seated together is
d. 130
a. 144
261. A toothpaste firm claims that in a
survey of 54 people, they were using either b. 258
Colgate, Hapee of Close-up brand. The
following statistics were found: 6 people c. 720
used all three brands, 5 used only Hapee
and Close-up, 18 used Hapee or Close-up, 2 d. 450
used Hapee, 2 used only Hapee and Colgate,
1 used Close-up and Colgate, and 20 used 265. If 15 people won prizes in the state
only Colgate. Is the survey worth paying lottery (assuming that there are no ties),
for? how many ways can these 15 people win
first, second, third, fourth and fifth prizes?
a. Neither yes or no
a. 4,845
b. Yes
6 of the Series
255. Find the 1987th digit in the decimal
Choose the letter of the best answer in equivalent to 1785/9999 starting from the
each questions. decimal point
251. Find the ratio of an infinite geometric a. 8
progression if the sum is 2 and the first term
is 1/2 b. 1
a. 1/3 c. 7
b. 1/2 d. 5
c. 3/4 256. In a class of 40 students, 27 like
Calculus and 25 like Chemistry. How many
d. 1/4 like both Calculus and Chemistry?
252. If equal spheres are piled in the form of a. 10
a complete pyramid with an equilateral
triangles as base, find the total number of b. 11
spheres in the pile if each side of the base
contains 4 spheres. c. 12
a. 15 d. 13
b. 20 257. A club of 40 executives, 33 like to
smoke Marlboro and 20 like to smoke Philip
c. 18 Morris. How many like both?
d. 21 a. 10
253. Find the 6th term of the sequence 55, b. 11
40, 28, 19, 13….
c. 12
a. 10
d. 13
b. 9
258. A survey of 100 persons revealed that
c. 8 72 of them had each at restaurant P and
that 52 of them had eaten at restaurant Q.
d. 11 which of the following could not be the
number of persons in the surveyed group
254. In the series 1, 1, 1/2, 1/6, 1/24… who had eaten at both P and Q?
determine the 6th term
a. 20
a. 1/80
b. 22
b. 1/74
c. 24
c. 1/100
, d. 26 c. No
259. The probability for the ECE board d. Either yes or no
examinees from a certain school to pass the
subject Mathematics is 3/7 and for the 262. How many four-letter words beginning
subject Communications is 5/7. If none of and ending with a vowel without any letter
the examinees fails both subject and there repeated can be formed from the word
are 4 examinees who pass both subjects, “personnel”?
find the number of examinees from the
school who took the examinations. a. 40
a. 20 b. 480
b. 25 c. 20
c. 30 d. 312
d. 28 263. Five different mathematics books, 4
different electronics books and 2 different
260. In a commercial survey involving 1000 communications books are to be placed in a
persons on brand preference, 120 were shelf with the books of the same subject
found to prefer brand x only, 200 prefer together. Find the number of ways in which
brand y only, 150 prefer brand z only, 370 the books can be placed.
prefer either brand x or y but not z, 450
prefer brand y or z but not x and 370 prefer a. 292
either z or x but not y. How many persons
have no brand preference, satisfied with any b. 5760
of the three brands?
c. 34560
a. 280
d. 12870
b. 230
264. The number of ways can 3 nurses and
c. 180 4 engineers be seated on a bench with the
nurses seated together is
d. 130
a. 144
261. A toothpaste firm claims that in a
survey of 54 people, they were using either b. 258
Colgate, Hapee of Close-up brand. The
following statistics were found: 6 people c. 720
used all three brands, 5 used only Hapee
and Close-up, 18 used Hapee or Close-up, 2 d. 450
used Hapee, 2 used only Hapee and Colgate,
1 used Close-up and Colgate, and 20 used 265. If 15 people won prizes in the state
only Colgate. Is the survey worth paying lottery (assuming that there are no ties),
for? how many ways can these 15 people win
first, second, third, fourth and fifth prizes?
a. Neither yes or no
a. 4,845
b. Yes
