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All questions of Day 34 for GMAT Exam
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
...
...
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
|
Kalyan Nair answered |
Understanding the problem:
Given that 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. We need to find out the number of people in the group today.
Solution:
Let's assume:
Let x be the number of people in the group today.
Therefore, each person receives 264/x marbles.
With 2 more people:
When 2 more people join the group, the number of people becomes x+2.
Therefore, each person now receives 264/(x+2) marbles.
Given conditions:
According to the problem, each person receives 1 marble less when 2 more people join the group. Therefore, we can set up the following equation:
264/x = 264/(x+2) + 1
Solving the equation:
Multiplying through by x(x+2) to get rid of the denominators, we get:
264(x+2) = 264x + x(x+2)
264x + 528 = 264x + x^2 + 2x
528 = x^2 + 2x
Rearranging the terms, we get:
x^2 + 2x - 528 = 0
(x + 24)(x - 22) = 0
x = -24 or x = 22
Conclusion:
Since the number of people cannot be negative, the number of people in the group today is 22. Therefore, the correct answer is option C) 22.
Given that 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. We need to find out the number of people in the group today.
Solution:
Let's assume:
Let x be the number of people in the group today.
Therefore, each person receives 264/x marbles.
With 2 more people:
When 2 more people join the group, the number of people becomes x+2.
Therefore, each person now receives 264/(x+2) marbles.
Given conditions:
According to the problem, each person receives 1 marble less when 2 more people join the group. Therefore, we can set up the following equation:
264/x = 264/(x+2) + 1
Solving the equation:
Multiplying through by x(x+2) to get rid of the denominators, we get:
264(x+2) = 264x + x(x+2)
264x + 528 = 264x + x^2 + 2x
528 = x^2 + 2x
Rearranging the terms, we get:
x^2 + 2x - 528 = 0
(x + 24)(x - 22) = 0
x = -24 or x = 22
Conclusion:
Since the number of people cannot be negative, the number of people in the group today is 22. Therefore, the correct answer is option C) 22.
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).
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.
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).
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
|
|
Pranav Kulkarni answered |
Let's solve the problem step by step:
Let the number of apples each person initially receives be x:
Given that a basket of 1430 apples is divided equally among a group of apple lovers, we have:
Number of people * Number of apples each person initially receives = Total number of apples
x * Number of people = 1430
x = 1430 / Number of people
When 45 people join the group:
Now, each person receives 9 apples less, so the new number of apples each person receives is x - 9.
The total number of apples remains the same:
Number of people * Number of apples each person receives = Total number of apples
(x - 9) * (Number of people + 45) = 1430
Substitute the value of x from the first equation:
(1430 / Number of people - 9) * (Number of people + 45) = 1430
1430 + 45*1430/Number of people - 9(Number of people + 45) = 1430
45*1430/Number of people - 9(Number of people + 45) = 0
45*1430 - 9(Number of people^2 + 45*Number of people) = 0
45*1430 = 9(Number of people^2 + 45*Number of people)
5*143 = Number of people^2 + 45*Number of people
715 = Number of people^2 + 45*Number of people
715 = Number of people(Number of people + 45)
715 = Number of people(Number of people + 45)
Now, find the factors of 715:
715 = 5*11*13
Therefore, Number of people = 13
Substitute this back into x = 1430 / Number of people:
x = 1430 / 13
x = 110
Therefore, each person initially received 110 apples before 45 people joined the feast.
Thus, the correct answer is option C) 22.
Let the number of apples each person initially receives be x:
Given that a basket of 1430 apples is divided equally among a group of apple lovers, we have:
Number of people * Number of apples each person initially receives = Total number of apples
x * Number of people = 1430
x = 1430 / Number of people
When 45 people join the group:
Now, each person receives 9 apples less, so the new number of apples each person receives is x - 9.
The total number of apples remains the same:
Number of people * Number of apples each person receives = Total number of apples
(x - 9) * (Number of people + 45) = 1430
Substitute the value of x from the first equation:
(1430 / Number of people - 9) * (Number of people + 45) = 1430
1430 + 45*1430/Number of people - 9(Number of people + 45) = 1430
45*1430/Number of people - 9(Number of people + 45) = 0
45*1430 - 9(Number of people^2 + 45*Number of people) = 0
45*1430 = 9(Number of people^2 + 45*Number of people)
5*143 = Number of people^2 + 45*Number of people
715 = Number of people^2 + 45*Number of people
715 = Number of people(Number of people + 45)
715 = Number of people(Number of people + 45)
Now, find the factors of 715:
715 = 5*11*13
Therefore, Number of people = 13
Substitute this back into x = 1430 / Number of people:
x = 1430 / 13
x = 110
Therefore, each person initially received 110 apples before 45 people joined the feast.
Thus, the correct answer is option C) 22.
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.
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
|
|
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
|
|
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.
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
|
|
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.
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.
|
|
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 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.
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.
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?- a)424
- b)428
- c)430
- d)432
- e)436
Correct answer is option 'D'. Can you explain this answer?
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
a)
424
b)
428
c)
430
d)
432
e)
436
|
|
Srestha Basu answered |
The best answer is D.
Use the group formula.
Total = groupA + groupB – Both + Neither.
Total = 312 + 232 – 112 + 0 = 432 students
Total = groupA + groupB – Both + Neither.
Total = 312 + 232 – 112 + 0 = 432 students
The apartment on King-Williams street is an asset that it’s value is tramping about.
From the year 1973 to 1983 it’s value decreased by 16% and from 1983 to 1993 it’s value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?- a)$38,796
- b)$40,000
- c)$38,976
- d)$39,679
- e)$36,796.
Correct answer is option 'C'. Can you explain this answer?
The apartment on King-Williams street is an asset that it’s value is tramping about.
From the year 1973 to 1983 it’s value decreased by 16% and from 1983 to 1993 it’s value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
From the year 1973 to 1983 it’s value decreased by 16% and from 1983 to 1993 it’s value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
a)
$38,796
b)
$40,000
c)
$38,976
d)
$39,679
e)
$36,796.
|
|
Pallavi Sharma answered |
The best answer is C.
Be careful, the value of the asset didn’t stay the same after the two changes in the value.
In the first 10 years, the value decreased by 16% (40,000 x 0.84 = 33,600).
Then, in the next ten years the value increased by 16% (33,600 x 1.16 = 38,976).
Therefore the answer is C.
Then, in the next ten years the value increased by 16% (33,600 x 1.16 = 38,976).
Therefore the answer is C.
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?- a)392
- b)412
- c)432
- d)502
- e)522
Correct answer is option 'A'. Can you explain this answer?
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
a)
392
b)
412
c)
432
d)
502
e)
522
|
|
EduRev GMAT answered |
The best answer is A.
You can use the answers to back-solve the question or you could write the equations.
Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products.
If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.
Take 392 pastry goods and divide them by 28 customers, each one will receive 14 products.
If there were 49 customers, each one would receive (392/49 = 8), which is 6 less.
In the equation 4Y- 3kX = 18, k is a constant and Y equals 42 when X equals 12. What is the approximate value of X when Y equals 36?
- a)5
- b)10
- c)15
- d)20
- e)25
Correct answer is option 'B'. Can you explain this answer?
In the equation 4Y- 3kX = 18, k is a constant and Y equals 42 when X equals 12. What is the approximate value of X when Y equals 36?
a)
5
b)
10
c)
15
d)
20
e)
25
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EduRev GMAT answered |
The best answer is B.
First, find the constant k. Plug in the numbers for X and Y, to receive 4 x 42 – 3k x 12 = 18 → k = (18 – 168)/36 = -25/6.
Now, plug in the value of Y to receive: 4 x 36 – 3kX = 18 → after a little math, X is equal to 10.08, therefore the approximate answer is 10.
In the equation (X + Y = k), k is a constant and X equals 13 when Y equals 23.5. What can be the value of X2 when Y2 is equal to 36?- a)456.5
- b)673.25
- c)830.75
- d)890.35
- e)930.25
Correct answer is option 'E'. Can you explain this answer?
In the equation (X + Y = k), k is a constant and X equals 13 when Y equals 23.5. What can be the value of X2 when Y2 is equal to 36?
a)
456.5
b)
673.25
c)
830.75
d)
890.35
e)
930.25
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EduRev GMAT answered |
The best answer is E.
First, find the constant k. Plug in the numbers to get k = 13 + 23.5 = 36.5.
Now, Y2 = 36 → Y = 6 or (-6). Plug both numbers to get X = 30.5 or X = 42.5.
The best answer is E, (30.5)2 = 930.25.
Now, Y2 = 36 → Y = 6 or (-6). Plug both numbers to get X = 30.5 or X = 42.5.
The best answer is E, (30.5)2 = 930.25.
Which of the following expressions is equivalent to |X| <4 ?- a)X < 4
- b)X > 4
- c)X > -4
- d)4 < X < -4
- e)–4 < X < 4
Correct answer is option 'E'. Can you explain this answer?
Which of the following expressions is equivalent to |X| <4 ?
a)
X < 4
b)
X > 4
c)
X > -4
d)
4 < X < -4
e)
–4 < X < 4
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Sankar Desai answered |
The best answer is E.
An absolute value means that the sign of the variable is insignificant, therefore X can be between –4 and 4 and still he will fulfill the original equation.
An absolute value means that the sign of the variable is insignificant, therefore X can be between –4 and 4 and still he will fulfill the original equation.
Which of the following statements is equivalent to (8 + 2X < 18 – 6X < 23 + 2X) - a)4/5 < X < 2.5.
- b)4/5 < X < 8/5.
- c)-5/8 < X < 5/4.
- d)2.5 < X < 3.5.
- e)5 < 8X < 12
Correct answer is option 'C'. Can you explain this answer?
Which of the following statements is equivalent to (8 + 2X < 18 – 6X < 23 + 2X)
a)
4/5 < X < 2.5.
b)
4/5 < X < 8/5.
c)
-5/8 < X < 5/4.
d)
2.5 < X < 3.5.
e)
5 < 8X < 12
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Sinjini Mukherjee answered |
The best answer is C.
Take the expression and simplify it: Take (8 + 2x) from each side to get: (0<10 – 8X<15).
Substitute 10, -10<-8X<5.
Divide all by (-8), 5/4 > X > -5/8. Therefore the answer is C.
Substitute 10, -10<-8X<5.
Divide all by (-8), 5/4 > X > -5/8. Therefore the answer is C.
Ron has three kinds of shirts in his closet, white shirts, black shirts and fancy shirts. What is the ratio between the shirts in the closet?
(1) The total number of shirts is 100.
(2) 30% of the shirts are black, which is twice as much as the fancy shirts.- a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
- b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
- c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
- d)Either statement BY ITSELF is sufficient to answer the question.
- e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
Correct answer is option 'C'. Can you explain this answer?
Ron has three kinds of shirts in his closet, white shirts, black shirts and fancy shirts. What is the ratio between the shirts in the closet?
(1) The total number of shirts is 100.
(2) 30% of the shirts are black, which is twice as much as the fancy shirts.
(1) The total number of shirts is 100.
(2) 30% of the shirts are black, which is twice as much as the fancy shirts.
a)
Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
b)
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
c)
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
d)
Either statement BY ITSELF is sufficient to answer the question.
e)
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
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Mehul Nair answered |
The best answer is C.
From statement (1) we know the total amount of shirts in the closet.
Statement (2) gives us the ratio between the shirts.
30% of the shirts are black (which is 30 shirts), this number is twice as much as the fancy shirts (15).
The remaining shirts must be white. We know the ratio; therefore both statements are required in order to answer the question correctly.
30% of the shirts are black (which is 30 shirts), this number is twice as much as the fancy shirts (15).
The remaining shirts must be white. We know the ratio; therefore both statements are required in order to answer the question correctly.
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn’t do both, What is X equal to?- a)69
- b)71
- c)73
- d)75
- e)76
Correct answer is option 'C'. Can you explain this answer?
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn’t do both, What is X equal to?
a)
69
b)
71
c)
73
d)
75
e)
76
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Arka Basu answered |
The best answer is C.
Use the group formula.
Total = groupA + groupB – Both + Neither.
Total = 32 + 45 – 13 + 9 = 73 graduates.
Total = groupA + groupB – Both + Neither.
Total = 32 + 45 – 13 + 9 = 73 graduates.
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