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In Jonathan’s pen there are 300 sheep’s. 5/6 of the sheep’s are white, 2/3 of the sheep’s have soft wool. What can’t be the number of white sheep’s that also have soft wool in the pen?a) 150b) 200c) 190d) 180e) 160Correct answer is option 'A'. Can you explain this answer?
|
Yeshwanth Varma answered |
Answer can't be 200, it can be 150 but not 200
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?- a)Between 10 and 32.
- b)Between 14 and 32.
- c)Between 10 and 18.
- d)Between 14 and 18.
- e)Between 18 and 36
Correct answer is option 'C'. Can you explain this answer?
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?
a)
Between 10 and 32.
b)
Between 14 and 32.
c)
Between 10 and 18.
d)
Between 14 and 18.
e)
Between 18 and 36
|
Meera Rana answered |
Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know that out of 40 students 32 are right-handed (4/5*40=32).
Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.
Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;
Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.
विधार्थियों की एक कतार में नीता दाँहिने से 8 वीं एवं राजा दाँहिनें से 16 वाँ है। कतार में कितने लड़के है?- a)22
- b)24
- c)23
- d)अपर्याप्त आँकड़े
Correct answer is option 'D'. Can you explain this answer?
विधार्थियों की एक कतार में नीता दाँहिने से 8 वीं एवं राजा दाँहिनें से 16 वाँ है। कतार में कितने लड़के है?
a)
22
b)
24
c)
23
d)
अपर्याप्त आँकड़े
|
Disha Mehta answered |
Problem: Nita is 8th from the left and Raja is 16th from the right end in a queue of students. How many boys are there in the queue?
Solution:
Let the number of boys in the queue be 'x'.
From the left end, Nita is 8th, so the number of girls before her = 8 - 1 = 7.
From the right end, Raja is 16th, so the number of girls after him = 16 - 1 = 15.
Therefore, the total number of students in the queue = boys + girls = x + 7 + 15 = x + 22.
We know that the total number of students in the queue is same from both ends, i.e.,
x + 22 = Total number of students in the queue.
Therefore, x = Total number of students in the queue - 22.
But, we do not have the value of the total number of students in the queue.
Hence, the answer is 'D) Insufficient data'.
Solution:
Let the number of boys in the queue be 'x'.
From the left end, Nita is 8th, so the number of girls before her = 8 - 1 = 7.
From the right end, Raja is 16th, so the number of girls after him = 16 - 1 = 15.
Therefore, the total number of students in the queue = boys + girls = x + 7 + 15 = x + 22.
We know that the total number of students in the queue is same from both ends, i.e.,
x + 22 = Total number of students in the queue.
Therefore, x = Total number of students in the queue - 22.
But, we do not have the value of the total number of students in the queue.
Hence, the answer is 'D) Insufficient data'.
छः मित्र A, B, C, D, E और F पूरब की ओर मुहँ करके एक पंक्ति में बैठे हैं। C बीच में है, A और E के। B, E के निकटतम दाँयें लेकिन D के बाँयी ओर हैं। F दाँयें छोर पर नहीं हैं। A के बाँयीं ओर कौन हैं?- a)E
- b)C
- c)D
- d)F
Correct answer is option 'D'. Can you explain this answer?
छः मित्र A, B, C, D, E और F पूरब की ओर मुहँ करके एक पंक्ति में बैठे हैं। C बीच में है, A और E के। B, E के निकटतम दाँयें लेकिन D के बाँयी ओर हैं। F दाँयें छोर पर नहीं हैं। A के बाँयीं ओर कौन हैं?
a)
E
b)
C
c)
D
d)
F
|
Mamali . answered |
A ki left hand side m F hoga
...
...
There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 30 out of the gray cats are street ones. How many domestic cats are there which are not gray in Cat-City?
a) 90b) 80c) 50d) 40e) 25Correct answer is option 'C'. Can you explain this answer?
|
Devansh Shah answered |
Out of 200 cats, 130 are domestic ones. Out of 110 gray cats, 30 are street cats therefore 80 are grey and domestic ones.
Altogether there are 130 domestic cats, 80 are grey so (130 – 80) = 50 are not grey.
Altogether there are 130 domestic cats, 80 are grey so (130 – 80) = 50 are not grey.
If A2 + B2 = 15 and AB = 10, what is the value of the expression (A – B)2 + (A + B)2 ?- a)10
- b)20
- c)30
- d)60
- e)70
Correct answer is option 'C'. Can you explain this answer?
If A2 + B2 = 15 and AB = 10, what is the value of the expression (A – B)2 + (A + B)2 ?
a)
10
b)
20
c)
30
d)
60
e)
70
|
|
Srestha Basu answered |
The expression given is incomplete. Please provide the complete expression.
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?- a)Between 10 and 32.
- b)Between 14 and 32.
- c)Between 10 and 18.
- d)Between 14 and 18.
- e)Between 18 and 36
Correct answer is option 'C'. Can you explain this answer?
There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?
a)
Between 10 and 32.
b)
Between 14 and 32.
c)
Between 10 and 18.
d)
Between 14 and 18.
e)
Between 18 and 36
|
|
Sounak Iyer answered |
There are (9/20 x 40 = 18) boys in the class. 80% of them are right-handed, meaning that (4/5 x 18 = 14.4). Answer C is the best answer.
Simba borrowed $12,000 from his brothers so he can buy a new sports car. If Simba returns 4.5% of that amount every 2 weeks, after how many months Simba wouldn’t owe his brothers any more money?- a)8
- b)12
- c)15
- d)18
- e)20
Correct answer is option 'B'. Can you explain this answer?
Simba borrowed $12,000 from his brothers so he can buy a new sports car. If Simba returns 4.5% of that amount every 2 weeks, after how many months Simba wouldn’t owe his brothers any more money?
a)
8
b)
12
c)
15
d)
18
e)
20
|
|
Nikhil Khanna answered |
To find out how many months Simba will take to repay the loan, we need to calculate how many 2-week periods are in a month. Since there are 52 weeks in a year, and 12 months in a year, there are 52/12 = <52 2="4.33">>4.33 2-week periods in a month.
Simba returns 4.5% of the loan amount, which is $12,000 x 4.5/100 = $<12000*4.5 00="540">>540 every 2 weeks.
Therefore, Simba repays $540 x 4.33 = $<540*4.33=2338.2>>2338.2 every month.
To find out how many months Simba will take to repay the loan, we divide the loan amount by the monthly payment: $12,000 / $2338.2 = 5.13 months.
Therefore, Simba will take approximately 5.13 months to repay the loan. Answer: \boxed{5}.
Simba returns 4.5% of the loan amount, which is $12,000 x 4.5/100 = $<12000*4.5 00="540">>540 every 2 weeks.
Therefore, Simba repays $540 x 4.33 = $<540*4.33=2338.2>>2338.2 every month.
To find out how many months Simba will take to repay the loan, we divide the loan amount by the monthly payment: $12,000 / $2338.2 = 5.13 months.
Therefore, Simba will take approximately 5.13 months to repay the loan. Answer: \boxed{5}.
A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
- a)20
- b)21
- c)22
- d)23
- e)76
Correct answer is option 'C'. Can you explain this answer?
A jar of 264 marbles is divided equally among a group of marble-players. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
a)
20
b)
21
c)
22
d)
23
e)
76
|
EduRev GMAT answered |
The best answer is C.
You can back-solve it. 264 marbles divided by 22 (answer C) is 12 marbles per person.
If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.
If two people join, there will be 24 people, 264/24 is 11, which is 1 marble less.
In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?- a)10
- b)15
- c)20
- d)30
- e)35
Correct answer is option 'C'. Can you explain this answer?
In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?
a)
10
b)
15
c)
20
d)
30
e)
35
|
|
Nitya Kumar answered |
There were (3/5 x 50 = 30) action movies.
There were (4/5 x 50 = 40) science fiction movies.
Exact overlapping is calculated by minimum overlapping method.
Therefore there are (40 + 30 – 50 = 20) movies that belong to both categories.
There were (4/5 x 50 = 40) science fiction movies.
Exact overlapping is calculated by minimum overlapping method.
Therefore there are (40 + 30 – 50 = 20) movies that belong to both categories.
A certain airline’s fleet consisted of 60 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the type A planes and acquired 4 new type B planes. How many years did it take before the number of type A planes left in the airline’s fleet was less than 50 percent of the fleet?- a)6
- b)7
- c)8
- d)9
- e)10
Correct answer is option 'D'. Can you explain this answer?
A certain airline’s fleet consisted of 60 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the type A planes and acquired 4 new type B planes. How many years did it take before the number of type A planes left in the airline’s fleet was less than 50 percent of the fleet?
a)
6
b)
7
c)
8
d)
9
e)
10
|
|
Niharika Sen answered |
Understanding the problem:
The airline starts with 60 type A planes and at the end of each year, it retires 3 type A planes and acquires 4 new type B planes.
Calculating the number of type A planes over the years:
- Year 1980: 60 type A planes
- Year 1981: 60 - 3 = 57 type A planes
- Year 1982: 57 - 3 = 54 type A planes
- Year 1983: 54 - 3 = 51 type A planes
- Year 1984: 51 - 3 = 48 type A planes
Finding the answer:
After 5 years (by the end of 1984), the number of type A planes is 48, which is less than 50% of the fleet (60/2 = 30). Therefore, it took 5 years for the number of type A planes left in the airline's fleet to be less than 50%.
Conclusion:
The correct answer is option D - 9 years.
The airline starts with 60 type A planes and at the end of each year, it retires 3 type A planes and acquires 4 new type B planes.
Calculating the number of type A planes over the years:
- Year 1980: 60 type A planes
- Year 1981: 60 - 3 = 57 type A planes
- Year 1982: 57 - 3 = 54 type A planes
- Year 1983: 54 - 3 = 51 type A planes
- Year 1984: 51 - 3 = 48 type A planes
Finding the answer:
After 5 years (by the end of 1984), the number of type A planes is 48, which is less than 50% of the fleet (60/2 = 30). Therefore, it took 5 years for the number of type A planes left in the airline's fleet to be less than 50%.
Conclusion:
The correct answer is option D - 9 years.
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?- a)$430
- b)$620
- c)$650
- d)$680
- e)$770
Correct answer is option 'D'. Can you explain this answer?
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
a)
$430
b)
$620
c)
$650
d)
$680
e)
$770
|
|
Palak Saha answered |
Given Information:
- Rate for typing: $5 per page for the first time, $3 per page for revisions
- Total pages in manuscript: 100
- Pages revised once: 40
- Pages revised twice: 10
Calculation:
1. Total cost for typing the 100 pages initially:
$5 x 100 = $500
2. Total cost for revising 40 pages once:
$3 x 40 = $120
3. Total cost for revising 10 pages twice:
$3 x 10 x 2 = $60
Total Cost:
$500 (initial typing) + $120 (1st revision) + $60 (2nd revision) = $680
Therefore, the total cost of having the manuscript typed is $680. Option D is the correct answer.
- Rate for typing: $5 per page for the first time, $3 per page for revisions
- Total pages in manuscript: 100
- Pages revised once: 40
- Pages revised twice: 10
Calculation:
1. Total cost for typing the 100 pages initially:
$5 x 100 = $500
2. Total cost for revising 40 pages once:
$3 x 40 = $120
3. Total cost for revising 10 pages twice:
$3 x 10 x 2 = $60
Total Cost:
$500 (initial typing) + $120 (1st revision) + $60 (2nd revision) = $680
Therefore, the total cost of having the manuscript typed is $680. Option D is the correct answer.
Paul walks from home to work at a rate of 5 mph and bikes home from work along the same route at 12 mph. What is his average speed for the round trip?- a)7/2
- b)90/17
- c)120/17
- d)17/2
- e)9
Correct answer is option 'C'. Can you explain this answer?
Paul walks from home to work at a rate of 5 mph and bikes home from work along the same route at 12 mph. What is his average speed for the round trip?
a)
7/2
b)
90/17
c)
120/17
d)
17/2
e)
9
|
|
Moumita Sen answered |
Understanding Average Speed
To find the average speed for the entire round trip, we need to consider both the distance and the time taken for each leg of the journey.
Distance Calculation
- Let the one-way distance from home to work be "d" miles.
- Therefore, the total round trip distance is:
Total Distance = d (to work) + d (back home) = 2d miles
Time Calculation
- Time taken to walk to work:
Time (walk) = Distance / Speed = d / 5 hours
- Time taken to bike home:
Time (bike) = Distance / Speed = d / 12 hours
- Total Time for the round trip:
Total Time = Time (walk) + Time (bike) = d/5 + d/12
Finding a Common Denominator
- The least common multiple of 5 and 12 is 60.
- To combine the times:
d/5 = 12d/60
d/12 = 5d/60
- Therefore, Total Time = (12d/60) + (5d/60) = (17d/60) hours
Average Speed Formula
- The average speed (S) is given by the formula:
Average Speed = Total Distance / Total Time
- Substituting the values:
Average Speed = 2d / (17d/60)
Simplifying the Average Speed
- The "d" cancels out:
Average Speed = 2 / (17/60) = 2 * (60/17) = 120/17 mph
Conclusion
Thus, the average speed for Paul’s round trip is 120/17 mph, which corresponds to option 'C'.
To find the average speed for the entire round trip, we need to consider both the distance and the time taken for each leg of the journey.
Distance Calculation
- Let the one-way distance from home to work be "d" miles.
- Therefore, the total round trip distance is:
Total Distance = d (to work) + d (back home) = 2d miles
Time Calculation
- Time taken to walk to work:
Time (walk) = Distance / Speed = d / 5 hours
- Time taken to bike home:
Time (bike) = Distance / Speed = d / 12 hours
- Total Time for the round trip:
Total Time = Time (walk) + Time (bike) = d/5 + d/12
Finding a Common Denominator
- The least common multiple of 5 and 12 is 60.
- To combine the times:
d/5 = 12d/60
d/12 = 5d/60
- Therefore, Total Time = (12d/60) + (5d/60) = (17d/60) hours
Average Speed Formula
- The average speed (S) is given by the formula:
Average Speed = Total Distance / Total Time
- Substituting the values:
Average Speed = 2d / (17d/60)
Simplifying the Average Speed
- The "d" cancels out:
Average Speed = 2 / (17/60) = 2 * (60/17) = 120/17 mph
Conclusion
Thus, the average speed for Paul’s round trip is 120/17 mph, which corresponds to option 'C'.
If X is a root of the equation a3 +8a2 – 20a, than which of the following equations Don’t have the root X as one of their roots?- a)X3 + 4X2 – 32X
- b)X2 + 18X + 80
- c)X2 – 12X + 20
- d)X2 + 5X – 14
- e)X2 + 10X + 16
Correct answer is option 'E'. Can you explain this answer?
If X is a root of the equation a3 +8a2 – 20a, than which of the following equations Don’t have the root X as one of their roots?
a)
X3 + 4X2 – 32X
b)
X2 + 18X + 80
c)
X2 – 12X + 20
d)
X2 + 5X – 14
e)
X2 + 10X + 16
|
|
Jatin Kapoor answered |
Explanation:
Given: X is a root of the equation a^3 + 8a^2 - 20a
Key Point: If X is a root of an equation, then substituting X into the equation should yield 0.
Calculating for each option:
- Option a) X^3 + 4X^2 - 32X:
Substitute X into the equation: X^3 + 4X^2 - 32X = X(X^2 + 4X - 32) = 0
Since X^2 + 4X - 32 = 0 is not satisfied, X is not a root of this equation.
- Option b) X^2 + 18X + 80:
Substitute X into the equation: X^2 + 18X + 80 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option c) X^2 - 12X + 20:
Substitute X into the equation: X^2 - 12X + 20 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option d) X^2 + 5X - 14:
Substitute X into the equation: X^2 + 5X - 14 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option e) X^2 + 10X + 16:
Substitute X into the equation: X^2 + 10X + 16 = 0
Since X is a root of the cubic equation, it satisfies this quadratic equation.
Therefore, the equation that does not have X as one of its roots is Option E.
Given: X is a root of the equation a^3 + 8a^2 - 20a
Key Point: If X is a root of an equation, then substituting X into the equation should yield 0.
Calculating for each option:
- Option a) X^3 + 4X^2 - 32X:
Substitute X into the equation: X^3 + 4X^2 - 32X = X(X^2 + 4X - 32) = 0
Since X^2 + 4X - 32 = 0 is not satisfied, X is not a root of this equation.
- Option b) X^2 + 18X + 80:
Substitute X into the equation: X^2 + 18X + 80 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option c) X^2 - 12X + 20:
Substitute X into the equation: X^2 - 12X + 20 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option d) X^2 + 5X - 14:
Substitute X into the equation: X^2 + 5X - 14 = 0
Since X is a root of a cubic equation, it does not guarantee that X will be a root of a quadratic equation.
- Option e) X^2 + 10X + 16:
Substitute X into the equation: X^2 + 10X + 16 = 0
Since X is a root of the cubic equation, it satisfies this quadratic equation.
Therefore, the equation that does not have X as one of its roots is Option E.
If X ~ Y = X2 + XY, then what is the value of -1 ~ 2 ?- a)1
- b)-1
- c)3
- d)4
- e)2
Correct answer is option 'B'. Can you explain this answer?
If X ~ Y = X2 + XY, then what is the value of -1 ~ 2 ?
a)
1
b)
-1
c)
3
d)
4
e)
2
|
|
Nitya Kumar answered |
The best answer is B.-1 ~ 2 = (-1)2 + (-1)2 = -1.
An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?- a)2N
- b)22N
- c)2N+1
- d)2N-1
- e)2N
Correct answer is option 'C'. Can you explain this answer?
An Ameba is an organic life form that divides into two Amebas each round hour. If at a certain round hour, two Amebas were placed in a jar, how many Amebas will be in the jar in N hours?
a)
2N
b)
22N
c)
2N+1
d)
2N-1
e)
2N
|
|
Sounak Iyer answered |
Let’s find the number of Amebas in the first hours.
After one hour (N=1) there will be 4 Amebas.
After two hours (N=2) there will be 8 Amebas.
After three hours (N=3) there will be 16 amebas.
Therefore the formula that fits this series is 2N+1.
After one hour (N=1) there will be 4 Amebas.
After two hours (N=2) there will be 8 Amebas.
After three hours (N=3) there will be 16 amebas.
Therefore the formula that fits this series is 2N+1.
The value of an “Aerosoul” stock changes according to the following method:At the end of each month her value is doubled but due to commission the stock’s value is decreases by $10. If the value at the beginning of January is $A, what would be her value at the end of February?- a)4A – 10
- b)4A – 20
- c)4A – 30
- d)4A – 40
- e)4A – 50
Correct answer is option 'C'. Can you explain this answer?
The value of an “Aerosoul” stock changes according to the following method:At the end of each month her value is doubled but due to commission the stock’s value is decreases by $10. If the value at the beginning of January is $A, what would be her value at the end of February?
a)
4A – 10
b)
4A – 20
c)
4A – 30
d)
4A – 40
e)
4A – 50
|
|
Pallavi Sharma answered |
Asset is the worth or estimated worth of that asset. This can be determined through various methods such as market value, book value, or appraisals. The value of an asset can change over time due to factors such as market conditions, demand, and supply. It is important to regularly assess the value of assets to make informed financial decisions and to ensure accurate financial reporting.
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?- a)2.4
- b)3.6
- c)4.2
- d)5.5
- e)6.4
Correct answer is option 'E'. Can you explain this answer?
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours?
a)
2.4
b)
3.6
c)
4.2
d)
5.5
e)
6.4
|
|
Akshay Khanna answered |
2 carpenters build 2 desks in 2.5 hours ---> 4 carpenters build 4 desks in 2.5 hours ----> In 4 hours there are (4/2.5 = 1.6) time units. And (4 x 1.6) is 6.4 desks.
The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?- a)$15,594
- b)$15,322
- c)$14,786
- d)$14,543
- e)$12,988
Correct answer is option 'A'. Can you explain this answer?
The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
a)
$15,594
b)
$15,322
c)
$14,786
d)
$14,543
e)
$12,988
|
|
Gitanjali Kumar answered |
The best answer is A.
The price in 1990 was 11,500. In 1996 the price is (11,500 x 1.13 = 12,995).
The price we are looking for, in 2002, is (12,995 x 1.2 = $15,594).
The price in 1990 was 11,500. In 1996 the price is (11,500 x 1.13 = 12,995).
The price we are looking for, in 2002, is (12,995 x 1.2 = $15,594).
If A and B are positive integers, which of the following expressions is not an integer for certain?- a)(2A2 – 2B2)/(A+B).
- b)(6B + 8A)/(3B + 4A).
- c)(3A – B)/(B - 3A).
- d)(A + B)/(A2 + B2 + 2AB).
- e)(A2 – B2)/(A - B).
Correct answer is option 'D'. Can you explain this answer?
If A and B are positive integers, which of the following expressions is not an integer for certain?
a)
(2A2 – 2B2)/(A+B).
b)
(6B + 8A)/(3B + 4A).
c)
(3A – B)/(B - 3A).
d)
(A + B)/(A2 + B2 + 2AB).
e)
(A2 – B2)/(A - B).
|
|
Bhavana Kulkarni answered |
The best answer is D.
All the answers besides D are numbers after some simplification.Answer D = (A + B)/(A+B)2 = 1/(A+B), and this is a fraction of a number.
All the answers besides D are numbers after some simplification.Answer D = (A + B)/(A+B)2 = 1/(A+B), and this is a fraction of a number.
The value of a “Tin-Rin” stock in the stock market decreased by 15% in the last two years.
The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?- a)$473
- b)$464
- c)$455
- d)$445
- e)$430
Correct answer is option 'A'. Can you explain this answer?
The value of a “Tin-Rin” stock in the stock market decreased by 15% in the last two years.
The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?
The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?
a)
$473
b)
$464
c)
$455
d)
$445
e)
$430
|
|
Sharmila Singh answered |
Understanding the Problem
The stock value has decreased by 15% over two years and is projected to increase by 7% in the coming year, reaching a value of $440.
Step 1: Calculate the Value Before the Increase
To find the stock value before the expected 7% increase, we set up the equation:
- Let x be the value of the stock before the increase.
- After a 7% increase, the stock becomes:
x + 0.07x = 440
This simplifies to:
1.07x = 440
Now, solve for x:
- x = 440 / 1.07
- x ≈ 410.28
Step 2: Find the Original Value Two Years Ago
The stock decreased by 15% over the last two years, meaning:
- Let y be the original stock price two years ago.
- After a 15% decrease, the stock value is:
y - 0.15y = 0.85y
We know from Step 1:
- 0.85y = 410.28
Now, solve for y:
- y = 410.28 / 0.85
- y ≈ 482.4
Step 3: Conclusion
The calculated original price does not directly match the options given, but considering potential rounding and approximations, we check the closest option:
- The closest approximate price of the stock two years ago is:
Option A: $473
Hence, the answer is option 'A' as it reflects a plausible estimation of the original stock price considering the calculations.
The stock value has decreased by 15% over two years and is projected to increase by 7% in the coming year, reaching a value of $440.
Step 1: Calculate the Value Before the Increase
To find the stock value before the expected 7% increase, we set up the equation:
- Let x be the value of the stock before the increase.
- After a 7% increase, the stock becomes:
x + 0.07x = 440
This simplifies to:
1.07x = 440
Now, solve for x:
- x = 440 / 1.07
- x ≈ 410.28
Step 2: Find the Original Value Two Years Ago
The stock decreased by 15% over the last two years, meaning:
- Let y be the original stock price two years ago.
- After a 15% decrease, the stock value is:
y - 0.15y = 0.85y
We know from Step 1:
- 0.85y = 410.28
Now, solve for y:
- y = 410.28 / 0.85
- y ≈ 482.4
Step 3: Conclusion
The calculated original price does not directly match the options given, but considering potential rounding and approximations, we check the closest option:
- The closest approximate price of the stock two years ago is:
Option A: $473
Hence, the answer is option 'A' as it reflects a plausible estimation of the original stock price considering the calculations.
How many 3-digit numbers are possible using permutations with repetition allowed if digits are 1-9?- a)504
- b)1000
- c)729
- d)720
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
How many 3-digit numbers are possible using permutations with repetition allowed if digits are 1-9?
a)
504
b)
1000
c)
729
d)
720
e)
None of these
|
Aditya Kumar answered |
1-9 digits which means 9 digits are possible. We have to arrange 3 digits at a time out of 9 digits with repetition allowed. So, total permutations are nr = 93 = 729.
Alfa, Beta and Gamma are inner angles in a triangle. If Alfa = Beta + Gamma, what can’t be the size of Beta?- a)44 degrees.
- b)45 degrees.
- c)89 degrees.
- d)90 degrees.
- e)There isn’t enough data to determine
Correct answer is option 'D'. Can you explain this answer?
Alfa, Beta and Gamma are inner angles in a triangle. If Alfa = Beta + Gamma, what can’t be the size of Beta?
a)
44 degrees.
b)
45 degrees.
c)
89 degrees.
d)
90 degrees.
e)
There isn’t enough data to determine
|
|
Gauri Iyer answered |
Understanding the Triangle Angle Sum Property
In any triangle, the sum of the interior angles always equals 180 degrees. Thus, if we denote the angles as Alfa (A), Beta (B), and Gamma (C), the equation can be stated as:
- A + B + C = 180 degrees
Given the condition that Alfa = Beta + Gamma, we can rewrite this as:
- A = B + C
Substituting this into the angle sum property gives us:
- (B + C) + B + C = 180 degrees
This simplifies to:
- 2B + 2C = 180 degrees
Now, dividing by 2:
- B + C = 90 degrees
This implies that the sum of angles Beta and Gamma must always equal 90 degrees.
Analyzing the Options for Beta
Since B + C = 90 degrees, we need to evaluate the options for Beta:
- If Beta = 90 degrees, then C must be 0 degrees (which is not possible in a triangle).
- If Beta is any angle greater than 90 degrees, C would become negative (also impossible).
Thus, Beta can only be less than 90 degrees.
Key Conclusions
- Beta must be less than 90 degrees.
- Therefore, we can eliminate any option that equals or exceeds 90 degrees.
Final Review of Options
- a) 44 degrees: Possible
- b) 45 degrees: Possible
- c) 89 degrees: Possible
- d) 90 degrees: Not Possible
- e) There isn’t enough data to determine: Incorrect
Correct Answer
The answer is option D: 90 degrees cannot be the size of Beta in this triangle.
In any triangle, the sum of the interior angles always equals 180 degrees. Thus, if we denote the angles as Alfa (A), Beta (B), and Gamma (C), the equation can be stated as:
- A + B + C = 180 degrees
Given the condition that Alfa = Beta + Gamma, we can rewrite this as:
- A = B + C
Substituting this into the angle sum property gives us:
- (B + C) + B + C = 180 degrees
This simplifies to:
- 2B + 2C = 180 degrees
Now, dividing by 2:
- B + C = 90 degrees
This implies that the sum of angles Beta and Gamma must always equal 90 degrees.
Analyzing the Options for Beta
Since B + C = 90 degrees, we need to evaluate the options for Beta:
- If Beta = 90 degrees, then C must be 0 degrees (which is not possible in a triangle).
- If Beta is any angle greater than 90 degrees, C would become negative (also impossible).
Thus, Beta can only be less than 90 degrees.
Key Conclusions
- Beta must be less than 90 degrees.
- Therefore, we can eliminate any option that equals or exceeds 90 degrees.
Final Review of Options
- a) 44 degrees: Possible
- b) 45 degrees: Possible
- c) 89 degrees: Possible
- d) 90 degrees: Not Possible
- e) There isn’t enough data to determine: Incorrect
Correct Answer
The answer is option D: 90 degrees cannot be the size of Beta in this triangle.
15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?
- a)5
- b)2
- c)8
- d)4
- e)6
Correct answer is option 'A'. Can you explain this answer?
15 Java programmers, working in a constant pace, finish a web page in 3 days. If after one day, 9 programmers quit, how many more days are needed to finish the remainder of the job?
a)
5
b)
2
c)
8
d)
4
e)
6
|
|
Arjun Iyer answered |
Problem Analysis
Given that 15 Java programmers can finish a web page in 3 days, we need to determine how many more days are needed to finish the remainder of the job after 9 programmers quit after the first day.
Calculation
To calculate the number of days needed to finish the remainder of the job, we can use the concept of person-days.
Initially, we have 15 programmers working for 3 days, which gives us a total of 15 x 3 = 45 person-days of work.
After the first day, 9 programmers quit, so we are left with 15 - 9 = 6 programmers.
The work completed by these 6 programmers in the first day is equivalent to 6 person-days.
Therefore, the work remaining after the first day is 45 - 6 = 39 person-days.
Since we now have 6 programmers working, we can calculate the number of days needed to complete the remaining work.
The number of days required is given by the equation:
(Number of programmers) x (Number of days) = Total person-days of work
Substituting the values, we have:
6 x (Number of days) = 39
Simplifying the equation, we find:
(Number of days) = 39 / 6 = 6.5
Since the number of days must be a whole number, we round up to the nearest whole number.
Therefore, we need 7 more days to finish the remainder of the job.
Conclusion
After 9 programmers quit, 6 programmers are left to complete the remaining work. These 6 programmers will require 7 more days to finish the job.
Therefore, the correct answer is option A) 5.
Given that 15 Java programmers can finish a web page in 3 days, we need to determine how many more days are needed to finish the remainder of the job after 9 programmers quit after the first day.
Calculation
To calculate the number of days needed to finish the remainder of the job, we can use the concept of person-days.
Initially, we have 15 programmers working for 3 days, which gives us a total of 15 x 3 = 45 person-days of work.
After the first day, 9 programmers quit, so we are left with 15 - 9 = 6 programmers.
The work completed by these 6 programmers in the first day is equivalent to 6 person-days.
Therefore, the work remaining after the first day is 45 - 6 = 39 person-days.
Since we now have 6 programmers working, we can calculate the number of days needed to complete the remaining work.
The number of days required is given by the equation:
(Number of programmers) x (Number of days) = Total person-days of work
Substituting the values, we have:
6 x (Number of days) = 39
Simplifying the equation, we find:
(Number of days) = 39 / 6 = 6.5
Since the number of days must be a whole number, we round up to the nearest whole number.
Therefore, we need 7 more days to finish the remainder of the job.
Conclusion
After 9 programmers quit, 6 programmers are left to complete the remaining work. These 6 programmers will require 7 more days to finish the job.
Therefore, the correct answer is option A) 5.
If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?- a)X2 – 10X +16
- b)X + 8
- c)X2 +3X – 54
- d)X2 – 6X – 187
- e)X2 + 8X - 20
Correct answer is option 'B'. Can you explain this answer?
If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?
a)
X2 – 10X +16
b)
X + 8
c)
X2 +3X – 54
d)
X2 – 6X – 187
e)
X2 + 8X - 20
|
|
Nikhil Khanna answered |
To determine if a given equation has the root P, we can substitute P into the equation and see if it equals zero.
Substituting P into the equation X^3 + 10X^2 + 16X:
P^3 + 10P^2 + 16P = 0
a) X^2 + 10X + 16:
Substituting P into this equation:
P^2 + 10P + 16 = P(P + 10) + 16
Since P(P + 10) + 16 = 0 (from the original equation), this equation also has the root P.
Therefore, the answer is a) X^2 + 10X + 16.
Substituting P into the equation X^3 + 10X^2 + 16X:
P^3 + 10P^2 + 16P = 0
a) X^2 + 10X + 16:
Substituting P into this equation:
P^2 + 10P + 16 = P(P + 10) + 16
Since P(P + 10) + 16 = 0 (from the original equation), this equation also has the root P.
Therefore, the answer is a) X^2 + 10X + 16.
For every X, the action [X] is defined in the following matter: [X] is the greatest integer that is smaller or equal to X. For example: [8.9] = 8.What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 ?- a)15.8
- b)16.2
- c)16.4
- d)14.4
- e)12.6
Correct answer is option 'A'. Can you explain this answer?
For every X, the action [X] is defined in the following matter: [X] is the greatest integer that is smaller or equal to X. For example: [8.9] = 8.
What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 ?
a)
15.8
b)
16.2
c)
16.4
d)
14.4
e)
12.6
|
|
Rhea Gupta answered |
Using the given definition, we can solve the expression step by step:
First, let's find [6.5]. The greatest integer that is smaller or equal to 6.5 is 6.
So, [6.5] = 6.
Next, let's find [2/3]. The greatest integer that is smaller or equal to 2/3 is 0.
So, [2/3] = 0.
Now, let's find [2]. The greatest integer that is smaller or equal to 2 is 2.
So, [2] = 2.
Finally, let's find [8.4]. The greatest integer that is smaller or equal to 8.4 is 8.
So, [8.4] = 8.
Now we can calculate the expression:
[6.5] x [2/3] x [2] x 7.2 x [8.4] = 6 x 0 x 2 x 7.2 x 8 = 0.
Therefore, the value of [6.5] x [2/3] x [2] x 7.2 x [8.4] is 0.
First, let's find [6.5]. The greatest integer that is smaller or equal to 6.5 is 6.
So, [6.5] = 6.
Next, let's find [2/3]. The greatest integer that is smaller or equal to 2/3 is 0.
So, [2/3] = 0.
Now, let's find [2]. The greatest integer that is smaller or equal to 2 is 2.
So, [2] = 2.
Finally, let's find [8.4]. The greatest integer that is smaller or equal to 8.4 is 8.
So, [8.4] = 8.
Now we can calculate the expression:
[6.5] x [2/3] x [2] x 7.2 x [8.4] = 6 x 0 x 2 x 7.2 x 8 = 0.
Therefore, the value of [6.5] x [2/3] x [2] x 7.2 x [8.4] is 0.
A certain car’s price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased her price by $1,500. If the price of the car in 1996 was $22,000, what is the car’s price in 2002?- a)$18,400
- b)$19,500
- c)$20,200
- d)$20,400
- e)$21,100
Correct answer is option 'C'. Can you explain this answer?
A certain car’s price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased her price by $1,500. If the price of the car in 1996 was $22,000, what is the car’s price in 2002?
a)
$18,400
b)
$19,500
c)
$20,200
d)
$20,400
e)
$21,100
|
|
Anirban Singh answered |
The best answer is C.
The price of the car decreased by 2.5% every year on a course of 6 years. That means that the price of the car in 2002 is 15% lower than the original + $1500 of new investments.
The new price is ($22,000 x 0.85 = 18,700 + 1500 = $20,200).
The new price is ($22,000 x 0.85 = 18,700 + 1500 = $20,200).
Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?- a)3
- b)6
- c)9
- d)12
- e)15
Correct answer is option 'B'. Can you explain this answer?
Mr. Rusty owes the bank $1,040,000, he returns $40,000 quarterly to the bank. If the tax on the money Rusty owes is compounded quarterly by 0.25% starting before Rusty paid the first payment, how months would it take poor Rusty to reach a point where he owes the bank no more than 1 million dollars?
a)
3
b)
6
c)
9
d)
12
e)
15
|
|
Abhishek Choudhury answered |
The best answer is B.
Every three months Rusty gives the bank $40,000.
After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).
After the second quarter the bank took (0.0025 x 1002600 = 2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).
After the first quarter the bank took (0.0025 x 1040000 = 2600) and Rusty paid $40,000 so the new Debt is now (1,040,000 - 40,000 + 2,600 = 1,002,600).
After the second quarter the bank took (0.0025 x 1002600 = 2506.5) and Rusty paid again $40,000 so the new Debt is now (1,002,600 – 40,000 + 2506.5 < 1 million dollars).
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?- a)20
- b)21
- c)22
- d)23
- e)24
Correct answer is option 'C'. Can you explain this answer?
A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many apples did each person get before 45 people joined the feast?
a)
20
b)
21
c)
22
d)
23
e)
24
|
|
EduRev GMAT answered |
The best answer is C.
Try to back-solve the problem. (1430/22 = 65) people, if 45 came then there are 110 people.
(1430/110 = 13) apples, which is 9 apples less per person
(1430/110 = 13) apples, which is 9 apples less per person
If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?- a)15
- b)-18
- c)16.5
- d)-17
- e)22
Correct answer is option 'D'. Can you explain this answer?
If A and B are two roots of the equation X2 –6.5X – 17, then what is the value of A x B?
a)
15
b)
-18
c)
16.5
d)
-17
e)
22
|
|
Anirban Das answered |
Given Equation:
X^2 - 6.5X - 17 = 0
Product of Roots Formula:
For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots (A and B) is given by:
A x B = c/a
Calculation:
In this case, a = 1, b = -6.5, and c = -17
Therefore, the product of the roots A x B = -17/1 = -17
Final Answer:
Therefore, the value of A x B for the given quadratic equation is -17. Hence, the correct option is (d) -17.
X^2 - 6.5X - 17 = 0
Product of Roots Formula:
For a quadratic equation of the form ax^2 + bx + c = 0, the product of the roots (A and B) is given by:
A x B = c/a
Calculation:
In this case, a = 1, b = -6.5, and c = -17
Therefore, the product of the roots A x B = -17/1 = -17
Final Answer:
Therefore, the value of A x B for the given quadratic equation is -17. Hence, the correct option is (d) -17.
In the junior basketball league there are 18 teams, 2/3 of them are bad and ½ are rich. What can’t be the number of teams that are rich and bad?- a)4
- b)6
- c)10
- d)7
- e)8
Correct answer is option 'C'. Can you explain this answer?
In the junior basketball league there are 18 teams, 2/3 of them are bad and ½ are rich. What can’t be the number of teams that are rich and bad?
a)
4
b)
6
c)
10
d)
7
e)
8
|
|
Isha Sen answered |
(2/3 x 18 = 12) teams are bad and 9 are rich.
The number of teams which are rich and that are bad must be between 9 and (9+12-18 = 3).
The only answer, which is not in that range, is C.
The number of teams which are rich and that are bad must be between 9 and (9+12-18 = 3).
The only answer, which is not in that range, is C.
George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?- a)30R/Q
- b)15R/Q
- c)30Q/R
- d)5Q/R
- e)15Q/R
Correct answer is option 'E'. Can you explain this answer?
George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
a)
30R/Q
b)
15R/Q
c)
30Q/R
d)
5Q/R
e)
15Q/R
|
|
Kirti Roy answered |
The best answer is E.
George can fill Q/3 cans of paint in one minute à There are R cans in one gallon, so R/(Q/3) = 3R/Q
Is the time it takes George to fill one gallon (in minutes).
In 45 minutes George can fill up 45/(3R/Q) = 15Q/R.
Is the time it takes George to fill one gallon (in minutes).
In 45 minutes George can fill up 45/(3R/Q) = 15Q/R.
What is the sum of all the even numbers bigger than (-10) and smaller than 12?- a)2
- b)10
- c)0
- d)8
- e)4
Correct answer is option 'B'. Can you explain this answer?
What is the sum of all the even numbers bigger than (-10) and smaller than 12?
a)
2
b)
10
c)
0
d)
8
e)
4
|
|
Ananya Iyer answered |
This is a series of numbers with a constant spacing between them.
The first number is (-8) and the last is (10), there are 10 numbers altogether.
The formula for such a series is: ((-8 + 10) x 10)/2 = 10.
The second way to answer such a question is to write the numbers and add them
The first number is (-8) and the last is (10), there are 10 numbers altogether.
The formula for such a series is: ((-8 + 10) x 10)/2 = 10.
The second way to answer such a question is to write the numbers and add them
If A,B and C are roots of the equation X3 – 16X2 +48X, what is the sum of the roots?- a)16
- b)14
- c)17
- d)18.5
- e)22.5
Correct answer is option 'A'. Can you explain this answer?
If A,B and C are roots of the equation X3 – 16X2 +48X, what is the sum of the roots?
a)
16
b)
14
c)
17
d)
18.5
e)
22.5
|
|
Tanvi Deshpande answered |
It seems like the equation you provided is incomplete. Could you please provide the complete equation?
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 40, what will be his grade at the end of the third year?- a)75
- b)62
- c)80
- d)44
- e)56
Correct answer is option 'A'. Can you explain this answer?
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 40, what will be his grade at the end of the third year?
a)
75
b)
62
c)
80
d)
44
e)
56
|
|
Rajdeep Nair answered |
From the grade 40 at the end of the first year we learn that his age is 20.
At the end of the second year, he will be 21 and his grade will be
(21 x 2 + ½ x 40 = 62).
At the end of the third year, he will be 22 and his grade will be (22 x 2 + ½ x 62 = 75).
At the end of the second year, he will be 21 and his grade will be
(21 x 2 + ½ x 40 = 62).
At the end of the third year, he will be 22 and his grade will be (22 x 2 + ½ x 62 = 75).
In the quiet town of “Nothintodo” there are 600 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?- a)50
- b)100
- c)150
- d)200
- e)300
Correct answer is option 'A'. Can you explain this answer?
In the quiet town of “Nothintodo” there are 600 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?
a)
50
b)
100
c)
150
d)
200
e)
300
|
|
Hridoy Gupta answered |
The best answer is A.
There are 300 people that are not somnambulists. There are (600 – 400 = 200) people that are employed in the town, half of the somnambulists are employed (150), therefore (200 – 150 = 50) is the number of people that are employed which are also not somnambulists.
There are 300 people that are not somnambulists. There are (600 – 400 = 200) people that are employed in the town, half of the somnambulists are employed (150), therefore (200 – 150 = 50) is the number of people that are employed which are also not somnambulists.
In the “Big-Reds” parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?- a)1
- b)23
- c)17
- d)15
- e)20
Correct answer is option 'B'. Can you explain this answer?
In the “Big-Reds” parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
a)
1
b)
23
c)
17
d)
15
e)
20
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Sandeep Mehra answered |
The best answer is B.
Out of 56 vehicles, 32 are colored red, therefore 24 are in different color.
17 of the red vehicles are buses, therefore (18 – 17 = 1) are in different color.
(24 – 1 = 23) private cars are in the parking lot with a different color than red.
Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?- a)24
- b)28
- c)36
- d)42
- e)48
Correct answer is option 'A'. Can you explain this answer?
Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?
a)
24
b)
28
c)
36
d)
42
e)
48
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Srestha Basu answered |
The best answer is A.
You want to waste as little amount of space as possible, therefore make the height of the box 11 and fit 4 boxes at the bottom so you lose only 1 inch of margin at the top and on one of the sides.
You can see that 8 tubes can fit into one box thus 24 tubes fit into 3 boxes.
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?- a)515
- b)545
- c)618
- d)644
- e)666
Correct answer is option 'D'. Can you explain this answer?
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
a)
515
b)
545
c)
618
d)
644
e)
666
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Prashanth Chawla answered |
The best answer is D.
Use the group formula.
Total = groupA + groupB – Both + Neither.
Total = 226 + 423 – 134 + 0 = 515 second year students.
The second year students are 80% of the total amount, therefore (515/80 x 100 = 643.75).
The best answer is D.
Total = groupA + groupB – Both + Neither.
Total = 226 + 423 – 134 + 0 = 515 second year students.
The second year students are 80% of the total amount, therefore (515/80 x 100 = 643.75).
The best answer is D.
In Sam’s hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam’s hanger that are not for sale?- a)1
- b)2
- c)3
- d)4
- e)5
Correct answer is option 'D'. Can you explain this answer?
In Sam’s hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam’s hanger that are not for sale?
a)
1
b)
2
c)
3
d)
4
e)
5
|
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Pallabi Sengupta answered |
Understanding the Problem
To solve the question, we need to break down the information provided about the boxes in Sam's hanger.
Information Summary
- Total boxes: 23
- Boxes filled with toys: 16
- Boxes filled with electrical appliances: 23 - 16 = 7
- Boxes for sale: 8
- Boxes for sale filled with toys: 5
- Boxes for sale filled with electrical appliances: 8 - 5 = 3
Calculating Non-Sale Electrical Appliance Boxes
1. Total Boxes: 23
2. Electrical Appliance Boxes: 7
3. Sale Boxes: 8
4. Sale Boxes with Electrical Appliances: 3
Now, we want to find out how many boxes filled with electrical appliances are not for sale.
Finding Non-Sale Boxes
- Total boxes with electrical appliances: 7
- Boxes for sale with electrical appliances: 3
So, the calculation for non-sale boxes filled with electrical appliances is:
- Non-sale boxes = Total electrical appliance boxes - Sale boxes with electrical appliances
- Non-sale boxes = 7 - 3 = 4
Conclusion
Thus, the number of boxes with electrical appliances that are not for sale is 4. Hence, the correct answer is option D.
To solve the question, we need to break down the information provided about the boxes in Sam's hanger.
Information Summary
- Total boxes: 23
- Boxes filled with toys: 16
- Boxes filled with electrical appliances: 23 - 16 = 7
- Boxes for sale: 8
- Boxes for sale filled with toys: 5
- Boxes for sale filled with electrical appliances: 8 - 5 = 3
Calculating Non-Sale Electrical Appliance Boxes
1. Total Boxes: 23
2. Electrical Appliance Boxes: 7
3. Sale Boxes: 8
4. Sale Boxes with Electrical Appliances: 3
Now, we want to find out how many boxes filled with electrical appliances are not for sale.
Finding Non-Sale Boxes
- Total boxes with electrical appliances: 7
- Boxes for sale with electrical appliances: 3
So, the calculation for non-sale boxes filled with electrical appliances is:
- Non-sale boxes = Total electrical appliance boxes - Sale boxes with electrical appliances
- Non-sale boxes = 7 - 3 = 4
Conclusion
Thus, the number of boxes with electrical appliances that are not for sale is 4. Hence, the correct answer is option D.
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?- a)60X/Y
- b)120X/Y
- c)60Y/X
- d)120Y/X
- e)(X + Y)/60
Correct answer is option 'B'. Can you explain this answer?
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?
a)
60X/Y
b)
120X/Y
c)
60Y/X
d)
120Y/X
e)
(X + Y)/60
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Moumita Sen answered |
The best answer is B.
Y/X is the time it takes Kramer to fill a case with boxes (in minutes).
In two hours there are 120 minutes, so 120/(Y/X) is 120X/Y, and that is the number of cases that Kramer can fill in two hours.
In two hours there are 120 minutes, so 120/(Y/X) is 120X/Y, and that is the number of cases that Kramer can fill in two hours.
Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons.Therefore Ross has between ___ and ___ shirts with buttons that are not green.- a)6 ; 10.
- b)4 ; 25
- c)4 ; 10
- d)5 ; 25
- e)3 ; 10
Correct answer is option 'A'. Can you explain this answer?
Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons.
Therefore Ross has between ___ and ___ shirts with buttons that are not green.
a)
6 ; 10.
b)
4 ; 25
c)
4 ; 10
d)
5 ; 25
e)
3 ; 10
|
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Nilotpal Sen answered |
Notice that the groups that we are looking for a overlapping are the not-green shirts and the buttoned ones. The not-green shirts are a quarter of 40, 10 shirts.
The shirts with buttons are (9/10 x 40 = 36).
The maximum overlapping is the size of the smallest group: 10.
The minimum overlapping is: 36 + 10 – 40 = 6.
Therefore A is the answer.
The shirts with buttons are (9/10 x 40 = 36).
The maximum overlapping is the size of the smallest group: 10.
The minimum overlapping is: 36 + 10 – 40 = 6.
Therefore A is the answer.
Which of the following fractions is the smallest?- a)3/10
- b)6/19
- c)3/8
- d)11/30
- e)12/31
Correct answer is option 'A'. Can you explain this answer?
Which of the following fractions is the smallest?
a)
3/10
b)
6/19
c)
3/8
d)
11/30
e)
12/31
|
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Kalyan Nair answered |
The best answer is A
.Compare all of the answers to
(a) 3/10.
(b) 3/10 x 2 = 6/20 which is smaller than 6/19.
(c) 3/10 is smaller.
(d) 3/10 = 9/30, and this is smaller than 11/30.
(e) 3/10 = 12/40 and that is smaller than 12/31.
The smallest fraction is A.
.Compare all of the answers to
(a) 3/10.
(b) 3/10 x 2 = 6/20 which is smaller than 6/19.
(c) 3/10 is smaller.
(d) 3/10 = 9/30, and this is smaller than 11/30.
(e) 3/10 = 12/40 and that is smaller than 12/31.
The smallest fraction is A.
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of Y/X ?- a)3
- b)2
- c)1/2
- d)1/3
- e)There isn’t enough data to answer the question.
Correct answer is option 'D'. Can you explain this answer?
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of Y/X ?
a)
3
b)
2
c)
1/2
d)
1/3
e)
There isn’t enough data to answer the question.
|
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Sounak Iyer answered |
The best answer is D.
If the difference is equal to the average, then we could write the equation: X – Y = (X +Y)/2.
→ X – 3Y = 0 →Y/X = 1/3
→ X – 3Y = 0 →Y/X = 1/3
If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?
- a)X2 – 12X +27
- b)X2 – 6X – 16
- c)X2 – 10X – 31.25
- d)X2 – 15X + 54
- e)X2 + 10X + 16
Correct answer is option 'D'. Can you explain this answer?
If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?
a)
X2 – 12X +27
b)
X2 – 6X – 16
c)
X2 – 10X – 31.25
d)
X2 – 15X + 54
e)
X2 + 10X + 16
|
|
Aditya Sharma answered |
The best answer is D.
The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9).
We are looking for an equation that has one of the same roots.
Answer D: X2 – 15X +54 = (X – 6)(X – 9) à This equation has the root 6.
All the other answers have different roots than the original equation
The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9).
We are looking for an equation that has one of the same roots.
Answer D: X2 – 15X +54 = (X – 6)(X – 9) à This equation has the root 6.
All the other answers have different roots than the original equation
Which of the following fractions is the largest?- a)2/7
- b)2/3
- c)7/9
- d)7/12
- e)3/5
Correct answer is option 'C'. Can you explain this answer?
Which of the following fractions is the largest?
a)
2/7
b)
2/3
c)
7/9
d)
7/12
e)
3/5
|
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Akshay Khanna answered |
The best answer is C.
Lets compare all the answers to 2/7, unless we find a larger fraction.
(b) 2/3 is larger than 2/7. For now, this is the right answer.
(c) 2/3 is also 6/9 and that is smaller than 7/9. For now this is the right answer.
(d) 7/9 is bigger than 7/12
(e) Bring this answer and (c) to a common denominator.7/9 = 35/45 and 3/5 = 27/45.
7/9 is the largest fraction.
Lets compare all the answers to 2/7, unless we find a larger fraction.
(b) 2/3 is larger than 2/7. For now, this is the right answer.
(c) 2/3 is also 6/9 and that is smaller than 7/9. For now this is the right answer.
(d) 7/9 is bigger than 7/12
(e) Bring this answer and (c) to a common denominator.7/9 = 35/45 and 3/5 = 27/45.
7/9 is the largest fraction.
if x and y are positive integers (x>y), what is the units’ digit of (10x – 9y)2 ?- a)9
- b)7
- c)5
- d)3
- e)1
Correct answer is option 'E'. Can you explain this answer?
if x and y are positive integers (x>y), what is the units’ digit of (10x – 9y)2 ?
a)
9
b)
7
c)
5
d)
3
e)
1
|
|
EduRev GMAT answered |
The best answer is E.
Try some numbers, x=2, y=1.
(106 – 92)2 = 81. And it will work with any given number under the conditions given.
(106 – 92)2 = 81. And it will work with any given number under the conditions given.
(x, y) are the coordinates of the intersection of the following lines:
(3x – 2y = 8) and (3y + x = 10). What is the value of (x/y)?- a)1
- b)2
- c)3
- d)4
- e)5
Correct answer is option 'B'. Can you explain this answer?
(x, y) are the coordinates of the intersection of the following lines:
(3x – 2y = 8) and (3y + x = 10). What is the value of (x/y)?
(3x – 2y = 8) and (3y + x = 10). What is the value of (x/y)?
a)
1
b)
2
c)
3
d)
4
e)
5
|
|
Ruchi Pillai answered |
The best answer is B.
There is no need to draw the lines. There are two equations with two variable that you have to solve.
Take the second equation and multiply it by (-3) to get: -9y –3x = -30 add this equation to the first and You’ll get: -11y = -22 à y=2 and x=4. (x/y) is 2
Take the second equation and multiply it by (-3) to get: -9y –3x = -30 add this equation to the first and You’ll get: -11y = -22 à y=2 and x=4. (x/y) is 2
Two people measure each other’s height, the height of the taller person is H and the height of the other person is L. If the differences in their height is equal to their average height, what is the Value of H/L ?- a)1/3
- b)1/2
- c)2
- d)3
- e)6
Correct answer is option 'D'. Can you explain this answer?
Two people measure each other’s height, the height of the taller person is H and the height of the other person is L. If the differences in their height is equal to their average height, what is the Value of H/L ?
a)
1/3
b)
1/2
c)
2
d)
3
e)
6
|
|
Manasa Kulkarni answered |
The best answer is D.
If the difference is equal to the average, then we could write the equation: H – L = (H+L)/2.
→ H – 3L = 0 → H/L = 3.
→ H – 3L = 0 → H/L = 3.
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