問題一覧
1
Find the 30th term of an A.P. 4,7,10...
A. 91
2
A stack of bricks has 61 bricks in the bottom layer, 58 bricks in the second layer, 55 bricks in the third layer and so until there are 10 bricks in the last layer. How many bricks are there together?
D. 639
3
Determine the sum of the progression if there are 7 arithmetic mean between 3 and 35
A. 171
4
Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16,...
B. 2046
5
Once a month a man put some money into the cookie jar. Each month he put 50 centavos more into the jar than the month before. After 12 years he counted his money; he had P 5436. How much money did he put in the jar in the last month?
A. P 73.50
6
Find the geometric mean of 64 and 4.
A. 16
7
The seventh term is 56 and the 12^{ch} term is -1792 of the geometric progression. Find the ratio and the first term. Assume the ratios are equal.
D.-2, 7/8
8
Find the sum of the infinite geometric progression 6, -2, 2/3
A. 9/2
9
Find the sum of 1, -1/5 , 1/5
A. 5/6
10
Find the ratio of an infinite geometric series if the sum is 2 and the first term is
C. 3/4
11
Factor the expression x²+6x+8 as completely as possible ?
C. (x+4)(x+2)
12
Find the value of x in the equation 24x²+5x-1=0.
D. (1/8,-1/3)
13
Find the value of k of the equation x²+kx+4=0 , so that the roots are equal.
A. ±4
14
If the roots of the equation are 1 and 2. What is the quadratic equation?
A x²-3x+2=0
15
In the expansion of (x+4y)¹² the numerical coefficient of the 5th term is:
B. 126,720
16
The polynomial x²+4x²-3x+8 is divided by x-5 then the remainder is
C. 218
17
Find the remainder if we divide 4y³+18y²+8y-4 by (2y+3)
B. 11
18
Find the rational number equivalent to repeating decimal 2.35242424...
C. 23289/9900
19
Find the 1987th digit in the decimal equivalent to 1785/9999 starting from decimal
point.
A. 8
20
What is the lowest common factor of 10 and 32.
B. 2
21
The sum of Kim's and Kevin's ages is 18. In three years, Kim will be twice as old as Kevin. What are their ages now?
B. 5, 13
22
What time after 3 o'clock will the hands of the clock be together for the firs time?
A. 3:16.36
23
The difference of the squares of the digits of a two digit positive number is 27. If the digits are reversed in order and the resulting number subtracted from the original number, the difference is also 27. What is the original number?
A 63
24
Ten less than four times a certain number is 14. Determine the number.
A 6
25
Jojo bought a second hand Betamax VCR and then sold it to Rudy at a profit of 40%. Rudy then sold the VCR to Noel at a profit of 20%. If Noel paid P 2,856 more than it cost to Jojo, how much did Jojo paid for the unit ?
C. 4,200
26
Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10% salt solution. What is the percent concentration in the mixture?
A 19.55%
27
The boat travels downstream in 2/3 of the time as it does going upstream the velocity of the river current is 8 kph, determine the velocity of the boa still water.
A. 40 kph
28
A batch of concrete consisted of 200 lbs fine aggregates, 350 lbs coarse aggregate, 94 lbs cement, and 5 gallons of water. The specific gravity of sam and gravel maybe taken as 2.65 and that of the cement as 3.10. How much weight of cement is required to produced one cubic yard?
D. 567 lbs
29
Dalisay Corporation's gross margin is 45% of sales. Operating expenses such as sales and administration are 15% of sales. Dalisay is in 40% tax bracket. What percent of sales is their profit after taxes?
A. 18 %
30
A club of 40 executives, 33 likes to smoke Marlboro, and 20 likes to smoke Phillip Moris. How many like both ?
A. 13
31
A and B working together can finish painting a home in 6 days. A working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone?
A. 10, 15
32
Given that "w" varies directly as the product square of x and y and inversely as the square of z, and that w=4 when x=2 and y=6 and z=3, Find the value of "w" when x=1 , y=4 and z=2 .
B. 3
33
A merchant has three items on sale, namely a radio for P 50, a clock for P 3
and a flashlight for P 1.00. At the end of the day, he has sold a total of 10
of the three items and has taken exactly P 1000 on the total sales. How many radios did he sale ?
A. 16
34
The third term of a harmonic progression is 15 and the 9th term is 6. Find the 11⁰ term?
B. 5
35
What is the sum of the coefficients of the expansion of (2x-1)²⁰
A. O
36
Find the ratio of the infinite geometric series if the sun is 2 and the first terms 1/2.
C. 3/4
37
Determine the sum of the infinite series: S= 1/3 + 1/9 + 1/27 +…+ (1/3)^n
D. 1/2
38
Determine the sum of the positive valued solution to the simultaneous equations: xy=15 yz=35 zx = 21.
A. 15
39
The areas of two squares differ by 7 sq. ft and their perimeters differ by 4 ft. Determine the sum of their areas.
A. 25ft²
40
A bookstore purchased a best selling book at P 200.00 per copy. At what pre should this book be sold so that, giving a 20% discount, the profit is 30%
C. P 325
41
In a certain community of 1,200 people, 60% are literate. Of the males, 50% are literate, and of the females 70% are literate. What is the female population?
D. 600
42
In a commercial survey involving 1,000 persons on brand preference, 120 were found to prefer brand x only, 200 prefer brand y only, 150 prefer brand z only, 370 prefer either brand x or y but not z, 450 prefer brand y or z but not x, and 420 prefer either brand z or x but not y. How many persons have no brand preference, satisfied with any of the 3 brands.
A.230
43
The electric power which a transmission line can transmit is proportional to the product of its design voltage and current capacity, and inversely to the transmission distance. A 115 kilovolt line rated at 1000 amperes can, transmit 150 Megawatts over 150 km. How much power, in Megawatts, can a 230 kilovolt line rated at 1,500 amperes transmit over 100 km?
C. 675
44
The number x, 2x+7 10x-7 form a Geometric Progression. Find the value of x
C. 7 & -7/6
45
Solve for x:10x²+10x+1=0
A. -0.113,-0.887
46
Solve for x: √20-x =x
D. no solution
47
Find the sum of the sequence 25, 30, 35,...
B. 5/2(n²+9n)
48
If the sun is 220 and the first term is 10, find the common difference if the term is 30.
A. 2
49
Given 2x2 matrix
[9 7
4 8] Find its determinant.
B. 44
50
If 15 people won prizes in the state lottery, in how many ways can these 15 people win first, second, third, fourth, and fifth prizes?
C. 360, 360
51
How many 4 digits number can be formed without repeating any digit from the following digits: 1, 2, 3, 4, and 6?
A. 120
52
In how many ways can a set of 6 distinct books be arranged in a bookshelf?
A. 720
53
How many permutations are there if the letters PNRCSE are taken 6 a a time?
C. 720
54
What is the number of permutations of the letters in the word BANANA?
B. 60
55
In how many ways can 3 MARINES and 4 ARMIES be seated on a bench if the ARMIES must be seated together?
C. 576
56
Four different colored flags can be hung in a row to make coded signal. How many signals can be made if a signal consists of the display of one or more flags.
A. 64
57
How many four digit numbers can be formed by the use of the digits 1, 2, 3, 4, 6, and 7 if one digit is used only once in one number?
D. 360
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42問 • 1年前問題一覧
1
Find the 30th term of an A.P. 4,7,10...
A. 91
2
A stack of bricks has 61 bricks in the bottom layer, 58 bricks in the second layer, 55 bricks in the third layer and so until there are 10 bricks in the last layer. How many bricks are there together?
D. 639
3
Determine the sum of the progression if there are 7 arithmetic mean between 3 and 35
A. 171
4
Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16,...
B. 2046
5
Once a month a man put some money into the cookie jar. Each month he put 50 centavos more into the jar than the month before. After 12 years he counted his money; he had P 5436. How much money did he put in the jar in the last month?
A. P 73.50
6
Find the geometric mean of 64 and 4.
A. 16
7
The seventh term is 56 and the 12^{ch} term is -1792 of the geometric progression. Find the ratio and the first term. Assume the ratios are equal.
D.-2, 7/8
8
Find the sum of the infinite geometric progression 6, -2, 2/3
A. 9/2
9
Find the sum of 1, -1/5 , 1/5
A. 5/6
10
Find the ratio of an infinite geometric series if the sum is 2 and the first term is
C. 3/4
11
Factor the expression x²+6x+8 as completely as possible ?
C. (x+4)(x+2)
12
Find the value of x in the equation 24x²+5x-1=0.
D. (1/8,-1/3)
13
Find the value of k of the equation x²+kx+4=0 , so that the roots are equal.
A. ±4
14
If the roots of the equation are 1 and 2. What is the quadratic equation?
A x²-3x+2=0
15
In the expansion of (x+4y)¹² the numerical coefficient of the 5th term is:
B. 126,720
16
The polynomial x²+4x²-3x+8 is divided by x-5 then the remainder is
C. 218
17
Find the remainder if we divide 4y³+18y²+8y-4 by (2y+3)
B. 11
18
Find the rational number equivalent to repeating decimal 2.35242424...
C. 23289/9900
19
Find the 1987th digit in the decimal equivalent to 1785/9999 starting from decimal
point.
A. 8
20
What is the lowest common factor of 10 and 32.
B. 2
21
The sum of Kim's and Kevin's ages is 18. In three years, Kim will be twice as old as Kevin. What are their ages now?
B. 5, 13
22
What time after 3 o'clock will the hands of the clock be together for the firs time?
A. 3:16.36
23
The difference of the squares of the digits of a two digit positive number is 27. If the digits are reversed in order and the resulting number subtracted from the original number, the difference is also 27. What is the original number?
A 63
24
Ten less than four times a certain number is 14. Determine the number.
A 6
25
Jojo bought a second hand Betamax VCR and then sold it to Rudy at a profit of 40%. Rudy then sold the VCR to Noel at a profit of 20%. If Noel paid P 2,856 more than it cost to Jojo, how much did Jojo paid for the unit ?
C. 4,200
26
Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10% salt solution. What is the percent concentration in the mixture?
A 19.55%
27
The boat travels downstream in 2/3 of the time as it does going upstream the velocity of the river current is 8 kph, determine the velocity of the boa still water.
A. 40 kph
28
A batch of concrete consisted of 200 lbs fine aggregates, 350 lbs coarse aggregate, 94 lbs cement, and 5 gallons of water. The specific gravity of sam and gravel maybe taken as 2.65 and that of the cement as 3.10. How much weight of cement is required to produced one cubic yard?
D. 567 lbs
29
Dalisay Corporation's gross margin is 45% of sales. Operating expenses such as sales and administration are 15% of sales. Dalisay is in 40% tax bracket. What percent of sales is their profit after taxes?
A. 18 %
30
A club of 40 executives, 33 likes to smoke Marlboro, and 20 likes to smoke Phillip Moris. How many like both ?
A. 13
31
A and B working together can finish painting a home in 6 days. A working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone?
A. 10, 15
32
Given that "w" varies directly as the product square of x and y and inversely as the square of z, and that w=4 when x=2 and y=6 and z=3, Find the value of "w" when x=1 , y=4 and z=2 .
B. 3
33
A merchant has three items on sale, namely a radio for P 50, a clock for P 3
and a flashlight for P 1.00. At the end of the day, he has sold a total of 10
of the three items and has taken exactly P 1000 on the total sales. How many radios did he sale ?
A. 16
34
The third term of a harmonic progression is 15 and the 9th term is 6. Find the 11⁰ term?
B. 5
35
What is the sum of the coefficients of the expansion of (2x-1)²⁰
A. O
36
Find the ratio of the infinite geometric series if the sun is 2 and the first terms 1/2.
C. 3/4
37
Determine the sum of the infinite series: S= 1/3 + 1/9 + 1/27 +…+ (1/3)^n
D. 1/2
38
Determine the sum of the positive valued solution to the simultaneous equations: xy=15 yz=35 zx = 21.
A. 15
39
The areas of two squares differ by 7 sq. ft and their perimeters differ by 4 ft. Determine the sum of their areas.
A. 25ft²
40
A bookstore purchased a best selling book at P 200.00 per copy. At what pre should this book be sold so that, giving a 20% discount, the profit is 30%
C. P 325
41
In a certain community of 1,200 people, 60% are literate. Of the males, 50% are literate, and of the females 70% are literate. What is the female population?
D. 600
42
In a commercial survey involving 1,000 persons on brand preference, 120 were found to prefer brand x only, 200 prefer brand y only, 150 prefer brand z only, 370 prefer either brand x or y but not z, 450 prefer brand y or z but not x, and 420 prefer either brand z or x but not y. How many persons have no brand preference, satisfied with any of the 3 brands.
A.230
43
The electric power which a transmission line can transmit is proportional to the product of its design voltage and current capacity, and inversely to the transmission distance. A 115 kilovolt line rated at 1000 amperes can, transmit 150 Megawatts over 150 km. How much power, in Megawatts, can a 230 kilovolt line rated at 1,500 amperes transmit over 100 km?
C. 675
44
The number x, 2x+7 10x-7 form a Geometric Progression. Find the value of x
C. 7 & -7/6
45
Solve for x:10x²+10x+1=0
A. -0.113,-0.887
46
Solve for x: √20-x =x
D. no solution
47
Find the sum of the sequence 25, 30, 35,...
B. 5/2(n²+9n)
48
If the sun is 220 and the first term is 10, find the common difference if the term is 30.
A. 2
49
Given 2x2 matrix
[9 7
4 8] Find its determinant.
B. 44
50
If 15 people won prizes in the state lottery, in how many ways can these 15 people win first, second, third, fourth, and fifth prizes?
C. 360, 360
51
How many 4 digits number can be formed without repeating any digit from the following digits: 1, 2, 3, 4, and 6?
A. 120
52
In how many ways can a set of 6 distinct books be arranged in a bookshelf?
A. 720
53
How many permutations are there if the letters PNRCSE are taken 6 a a time?
C. 720
54
What is the number of permutations of the letters in the word BANANA?
B. 60
55
In how many ways can 3 MARINES and 4 ARMIES be seated on a bench if the ARMIES must be seated together?
C. 576
56
Four different colored flags can be hung in a row to make coded signal. How many signals can be made if a signal consists of the display of one or more flags.
A. 64
57
How many four digit numbers can be formed by the use of the digits 1, 2, 3, 4, 6, and 7 if one digit is used only once in one number?
D. 360