Continue Practice Exam Test Questions Part d. 4100
10 of the Series
455. A woman started a chain letter by writing
Choose the letter of the best answer in each to four friends and requesting each to copy
questions. the letter and send it to four other friends. If
the chain was unbroken until the 5th set of
451. Determine x so that 2x + 1, x2 + x + 1, letters was mailed, how much was spent for
3x2 – 3x + 3 are consecutive terms of an postage at P8.00 per letter?
arithmetic progression.
a. 3 a. 16,219
b. 2 b. 10,912
c. 5 c. 21,835
d. 4 d. 13,291
452. An equipment costs P50,000.00 and 456. A soccer ball is dropped from height of 6
depreciates 20% of the original costs during meters. On each rebound it rises 2/3 of the
the first year, 16% during the second year, height from which it last fell. What distance
12% during the third year, and so on, for 5 has it traveled at the instant it strikes the
years. What is the value at the end of 5 ground for the 7th time?
years?
a. 27.89 m
a. 15,000
b. 19.86 m
b. 25,000
c. 20.87 m
c. 30,000
d. 24.27 m
d. 20,000
457. The arithmetic mean of two numbers is
453. Find the sum of the first 100 positive 4, and their harmonic mean is 15/4. Find the
integers that is exactly divisible by 7. numbers.
a. 35,350 a. 3 & 5
b. 25,053 b. 1 & 7
c. 53,350 c. 2 & 6
d. 25,536 d. 0 & 8
454. Find the 50th term of a geometric 458. Find the real values of x and y satisfying
progression if the 20th term is 1200 and the the given equation: (2x + 3y) + i(3x – 5y) =
30th term is also 1200. 8 – i7.
a. 1200 a. x = 1, y = -2
b. 2400 b. x = -2, y = -1
c. 1400
, c. x = 2, y = 1 463. What is the probability of drawing 6
white balls from a jar containing 9 white, 4
d. x = 1, y = 2 red, and 3 blue balls?
459. From the equation 12x3 – 8x2 + kx + 18 a. 0.01
= 0, find the value of k if one root is the
negative of the other. b. 0.02
a. -17
c. 0.10
b. -12
d. 0.03
c. -27
464. Ten books consisting of 5 mathematics
d. -36 books, 3 physics books, and 2 chemistry
books are placed in a bookcase at random.
460. In how many ways can a group of 6 What is the probability that the same books
people be seated on a row of 6 seats if a are all together?
certain 2 refuse to sit next to each other?
a. 1/420
a. 240 ways
b. 3/520
b. 480 ways
c. 2/241
c. 180 ways
d. 5/2463
d. 320 ways
465. In a racing contest, there are 240
461. How many different 8-digit numbers can vehicles which will have provisions that will
be formed from the digits 2, 2, 2, 5, 5, 7, 7, last for 15 hours. Assuming constant hourly
7? consumption for each vehicle, how long will
the fuels provisions last if 8 vehicles withdraw
a. 320 from the race every hour after the first?
b. 560 a. 63
c. 520 b. 18
d. 480 c. 20
462. In how many ways can 10 different d. 25
magazines be divide among A, B, and C so
that A gets 5 magazines, B 3 magazines and C 466. A clerk submitted the following reports.
2 magazines? The average rate of production of radios is 1.5
units for every 1.5 hrs. work by 1.5 workers.
a. 2,520 How many radios were produce in one month
by 30 men working 200 hrs. during the
b. 2,250 month?
c. 2,050 a. 4000
d. 2,052 b. 3800
10 of the Series
455. A woman started a chain letter by writing
Choose the letter of the best answer in each to four friends and requesting each to copy
questions. the letter and send it to four other friends. If
the chain was unbroken until the 5th set of
451. Determine x so that 2x + 1, x2 + x + 1, letters was mailed, how much was spent for
3x2 – 3x + 3 are consecutive terms of an postage at P8.00 per letter?
arithmetic progression.
a. 3 a. 16,219
b. 2 b. 10,912
c. 5 c. 21,835
d. 4 d. 13,291
452. An equipment costs P50,000.00 and 456. A soccer ball is dropped from height of 6
depreciates 20% of the original costs during meters. On each rebound it rises 2/3 of the
the first year, 16% during the second year, height from which it last fell. What distance
12% during the third year, and so on, for 5 has it traveled at the instant it strikes the
years. What is the value at the end of 5 ground for the 7th time?
years?
a. 27.89 m
a. 15,000
b. 19.86 m
b. 25,000
c. 20.87 m
c. 30,000
d. 24.27 m
d. 20,000
457. The arithmetic mean of two numbers is
453. Find the sum of the first 100 positive 4, and their harmonic mean is 15/4. Find the
integers that is exactly divisible by 7. numbers.
a. 35,350 a. 3 & 5
b. 25,053 b. 1 & 7
c. 53,350 c. 2 & 6
d. 25,536 d. 0 & 8
454. Find the 50th term of a geometric 458. Find the real values of x and y satisfying
progression if the 20th term is 1200 and the the given equation: (2x + 3y) + i(3x – 5y) =
30th term is also 1200. 8 – i7.
a. 1200 a. x = 1, y = -2
b. 2400 b. x = -2, y = -1
c. 1400
, c. x = 2, y = 1 463. What is the probability of drawing 6
white balls from a jar containing 9 white, 4
d. x = 1, y = 2 red, and 3 blue balls?
459. From the equation 12x3 – 8x2 + kx + 18 a. 0.01
= 0, find the value of k if one root is the
negative of the other. b. 0.02
a. -17
c. 0.10
b. -12
d. 0.03
c. -27
464. Ten books consisting of 5 mathematics
d. -36 books, 3 physics books, and 2 chemistry
books are placed in a bookcase at random.
460. In how many ways can a group of 6 What is the probability that the same books
people be seated on a row of 6 seats if a are all together?
certain 2 refuse to sit next to each other?
a. 1/420
a. 240 ways
b. 3/520
b. 480 ways
c. 2/241
c. 180 ways
d. 5/2463
d. 320 ways
465. In a racing contest, there are 240
461. How many different 8-digit numbers can vehicles which will have provisions that will
be formed from the digits 2, 2, 2, 5, 5, 7, 7, last for 15 hours. Assuming constant hourly
7? consumption for each vehicle, how long will
the fuels provisions last if 8 vehicles withdraw
a. 320 from the race every hour after the first?
b. 560 a. 63
c. 520 b. 18
d. 480 c. 20
462. In how many ways can 10 different d. 25
magazines be divide among A, B, and C so
that A gets 5 magazines, B 3 magazines and C 466. A clerk submitted the following reports.
2 magazines? The average rate of production of radios is 1.5
units for every 1.5 hrs. work by 1.5 workers.
a. 2,520 How many radios were produce in one month
by 30 men working 200 hrs. during the
b. 2,250 month?
c. 2,050 a. 4000
d. 2,052 b. 3800