Tuesday, November 25, 2008

25th November GRE Quants Question

Quant:


1. If the median of first 40 students score is 74 and last 65 students score is 78, then what is the median of all 115 scores?


2. If f(x) = 2x-3 & f(g(x)) = x, then
g(x) = ?
A. (x+3)/2
& 4 other options were given.


3. If the sum of 5Y2 and 257 is 8N9 & 8N9 is divisible by 3, then what is the least possible values of N and Y?
Col A: Y+N
Col B: 9


4. Which of the following is less than 3% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…


5. Given two points A(3, 1) & B(-1, 5) and a perpendicular is drawn from point ‘p’ to this line AB
Col A: Slope of the perpendicular line
Col B: 1


6.




Which of the following is true?
A. L^2 + W^2 = 50
B. L^2 + W^2 = 25
C. L^2 + W^2 = 100
D. L^2 + W^2 = 75
E. L^2 + W^2 = 125


7. If a rectangle's length is increased by 15% and width is decreased by 15%, then
Col A: Area of the initial rectangle
Col B: Area of the later(changed) rectangle


8. If g(x) = 3^(x-1), then what is the value of [g(x+1)-g(x)]/2?


9. Col A: 2^x * 4^ x
Col B: 2^3x


10. There are two names given JOHNSON and JONES. If one letter is picked from both simultaneously at random, then find the probability that the letter is same?


11. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)


12. There are two similar cylinders. One cylinder ‘A’ has water filled to half of its height and is standing on its base. Other cylinder ‘B’ is lying down with water filled to two third of its height (i.e. its diameter).
Col A: Volume of the Cylinder A
Col B: Volume of the Cylinder B


13. If the average of 6, x and y is 0, then what is the average of x and y?


14. If n is a positive integer, then
Col A: Remainder when n^2 - n is divided by 2
Col B: 0


15. Col A: (n^2 + 2n)/(n^3+2n^2)
Col B: 1/n


16. Col A: x^2 + y^2
Col B: (x-1)^2 + (y+1)^2


17. If x/y = (sqrt(2)-1)/2 & z = x + y, then the value of z/y?


18. A hexagon is embedded in a circle with radius xxx(some value). Find the perimeter of the hexagon in terms of diameter?
(Question is similar to this)


19. If class A has the average score of 40 for 65 students & class B has the average score of XXX for 55 students, then
Col A: Total average score
Col B: Total number of students


20. An equilateral triangle is given with its side around some 20(approx). If its height is 20x, then find the value of x?


21. A question with Venn diagram is given like this...
A class has above 100 students. If a teacher took 100 answer sheets & out of them she corrected 22 and all of these 22 got 'A' grade & if 25% of the remaining get 'A' grade, then find the total number of students with 'A' grade?


22. There are two plants 'A' & 'B'.
If the plant 'A', in
1st week grows 1/4th
2nd week grows 1/5th
3rd week grows 1/6th
4th week grows 1/7th
5th week grows 1/8th
6th week grows 1/9th
& if plant B grows 3/4th in these 6weeks period, then
Col A: Growth of plant 'A' in 6weeks
Col B: Growth of plant 'B' in 6weeks.


23. For any series, which of these options are equal normally?
I. Mean
II. Median
III. Mode
A. I
B. I and II
C. I and III
D. I, II and III


24. If a wheel 'A' has half the diameter of wheel B, then
Col A: Number of revolutions made by wheel A to cover 5000 miles
Col B: Number of revolutions made by wheel B to cover 2500 miles


25. Col A: The distance from origin to the point (3, 4)
Col B: The distance from origin to the (5, 2)


26. Given a rectangle field whose length ‘l’ and breath ‘b’ is made area=25000, such that its length is increased by 10% and its breadth is been decreased by 5 %.
Col A: Change in area of the rectangle
Col B: 1200


27. Given numbers from 1 to 10. Two numbers are to be selected from these 10 numbers and they can be same also. What is the probability that at least one of them is even?
A. 1/2
B. 3/4
C. 1/4
& so on....


28.

Given a figure like above with a circle inscribed in an equilateral triangle whose length of one side is given as 6
Col A: Area of circular region
Col B: 9 pi

Tuesday, November 18, 2008

18th November Gre Quants Question

Quant:


1. How many integers are there between 176 and 256, which are not the multiples of 7?


2. Which is the greatest prime factor of 3^100 - 3^97?


3. Find the area of the square which has its diagonal length 10?


4. The x and y coordinates of two points were given and was asked to find its slope.


5. Given coordinates of two points P, Q on a graph
Col A:Distance of point 'P' from origin
Col B:Distance of Point 'Q' from origin
(Question is similar to this.. with P & Q values given)


6. If 'n' is an integer and 26n is a multiple of 12, then
Col A: Value of n
Col B: 11


7. If x^2 = 9, then
Col A: x-2
Col B: 0


8. Two frequency distribution tables are given.
Table I:
Value Frequency
-1 2
-2 3
-3 5
0 7
1 1
2 3
3 3

Table II:
Value Frequency
-1 3
-2 1
-3 4
0 6
1 1
2 3
3 4
Out of mean, median & mode which quantity is common for both tables?
A. Mean only
B. Median only
C. Mode only
D. Median & Mode
E. Mean & mode


9. There are two plants 'A' & 'B'. The plant 'A'
In, 1st week grows 1/4th
2nd week grows 1/5th
3rd week grows 1/6th
4th week grows 1/7th
5th week grows 1/8th
6th week grows 1/9th
& if plant B grows 3/4th in these 6weeks period, then
Col A: Growth of plant 'A' in 6weeks
Col B: Growth of plant 'B' in 6weeks.


10. A company gives a employee code to each of its employees. It consists of 4 alphabets followed by two numbers. All alphabets from A to Z (except A, E, I, O, U, Z) can be used & all numbers from 0 to 9 can be used. How many different possible employee codescan be made using these conditions?


11. A solid has dimensions of 12inchesx20inchesx15 inches. If the solid has a mass of 7kg, then what is the density of the box & its volume in cubic foot?
(Question is similar to this)


12. Two figures R & S given. R is a square with side 9 each & S is a square whose top right quater part has been cut(it is similar to R just a square part on top right is removed) & have side of 9 each. However the dimension of the area removed from top right quater is not given.
Col A: Area of R
Col B: 4/3 of are of S

Monday, November 17, 2008

17th Nov Gre Quants Question

1. If from 1982 to 1990, a company made 210000$ profit & from 1988 to 1992 the same company made 180000$ profit, then what is the profit the company made between 1988 and 1990?





2.


Given a figure as above, with a square ABCD of side 'x'
Col A: Area of shaded region
Col B: x^2/4


3. If Bn = (-1)^n (T)^n-1, then find B5?
Col A: -1-t^2-t^3-t^4
Col B: -1+t^2-t^3+t^4


4. Find the closest value of a100, if an = [n^4+(n+100)^2]/xxx(some bigger value).
(Question is similar to this)


5. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6


6. The value of 208 + 1/2 (208) + 1/4 (208) is ………….


7.



Given a figure similar to the above, as EFGH inscribed in ABCD, 'E' on AB, 'H' on AD; 'F' is on BC and is the midpoint of BC & a line segment connecting H and C. The point where 'F' intersects HC is G. Here E and H are not mid-pts of respective sides as “F”. If angle DHC=45 and side AE=5, then find the area of rectangle EFGH?


8. Given two points A(3, 1) & B(-1, 5) and a perpendicular is drawn from point ‘p’ to this line AB
Col A: Slope of the perpendicular line
Col B: 1


9.


If the area of ABCD is 180, then find the value of ‘X’?


10. What is the highest prime factor of 3^100 - 3^97?


11. Col A: Sqrt(120) + Sqrt(50)
Col B: Sqrt( 80) + Sqrt(90)


12. If 0 < M < N < P < Q < R, then
Col A: Median of M, N, P, Q & R
Col B: Arithmetic Mean of M, N, P, Q & R.


13. If perimeter of a rectangle A is 20 & perimeter of rectangle B is 24, then
Col A: Area of the rectangle
Col B: Area of the rectangle


14.

Given a figure as above with circle inside a square, if the area of the square is 16, then
Col A: Area of circle
Col B: 4PIE


15.If 61% supports ‘X’ and 55% supports ‘Y’ and out of those who support ‘Y’ 80% also supports ‘X’ , then what percentage of people supports neither ‘X’ nor ‘Y’?


16. If the probability of getting females in a group of people is 3/5, then
Col A: Ratio of male to female in that group
Col B: 3/2


17. Given x, y as integers. If A = 896*355*(x-1)(y+2), then
Col A: Unit digit of A
Col B: 0


18.Given an equation of the form [x+3] < =5 ( [ ] implies mod) and there were number lines given
A. Number line saying x lies between -2 to 8
B. Number line saying x lies between -2 to 2
C. Number line saying x lies between -8 to 2
D. Number line saying x lies between -8 to 8
& so on....


19. Given three variables a, b & c which can take any of the three values 0, 1 or 2. If a^2(9) + b(3) + c = 25, then what is the value of a + b + c?
A.3
B.5
C.8
D.9


20. If x > 0, then
Col A: [(2x)^0 + (2x)^1] / [(2x) + (2x)^2 ]
Col B: (2X)^-1

Wednesday, November 5, 2008

5th november Gre Quants Question

1. What is the range of numbers between 400 and 700 that are divisible by 2 and 3?

2. Col A: x^2 + y^2
Col B: (x + 1)^2 * (y + 1)^2

3. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)

4. If 1pen & 1stapler costs 12.50$ and 3pens & 2staplers costs 25$, then
Col A: Cost of 1pen
Col B: 4.20$

5. Given a circle in the coordinate system with centre at (3, 4), find the radius of the circle?

6. Given average of a & b as 10. When 'c' is added to a & b, then the average is 10(again).
Col A: Value of 'c'
Col B: 10

7. If -1 < x < 0, then which of the following will have greater value?
A.0.8x
B. 1/sqrt(x)
C. (5x)/6
D. sqrt(x)
& so on......

8.


Col A: a^2 + b^2 + c^2
Col B: f^2

Answers and Explanations

1. 51. Since the question asks for both divisible by 2 and 3. We need to find the numbers divisible by 6. Now 402 is the first number in the range that is divisible by 6. Starting from 402 there are 17 numbers in the range 400 to 500 divisible by 6. 17 again in 500 to 600 as well as 600 to 700. So the answer is 17*3= 51

2. Relationship cannot be determined. take x and y 0 and take x and y -1 and test.

3. Col B is greater. because the first term is Pn is multiplied by 24 so it will give remainder 0 when divided by 6 but the +8 in the end will give remainder 2.

However P66 = 24^66 + 8*24^65 + 8*24^64 + .... + 8*24 + 8

4. I think the answer is Col B is greater. its given that 1pen & 1stapler costs $12.50 which means 2pen & 2stapler costs $25. But its also given that 3pens & 2staplers costs $25. his is only possible when pens are given for free i.e. zero cost.

5. Radius of the circle cannon be found just from the center

6. Col A and Col B are equal

7. based on the given options the answer is A. As 5/6 is .83 and B and D are not feasible as complex number is not in GRE syllabus.

8. Both Cols are equal.

Tuesday, November 25, 2008

25th November GRE Quants Question

Quant:


1. If the median of first 40 students score is 74 and last 65 students score is 78, then what is the median of all 115 scores?


2. If f(x) = 2x-3 & f(g(x)) = x, then
g(x) = ?
A. (x+3)/2
& 4 other options were given.


3. If the sum of 5Y2 and 257 is 8N9 & 8N9 is divisible by 3, then what is the least possible values of N and Y?
Col A: Y+N
Col B: 9


4. Which of the following is less than 3% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…


5. Given two points A(3, 1) & B(-1, 5) and a perpendicular is drawn from point ‘p’ to this line AB
Col A: Slope of the perpendicular line
Col B: 1


6.




Which of the following is true?
A. L^2 + W^2 = 50
B. L^2 + W^2 = 25
C. L^2 + W^2 = 100
D. L^2 + W^2 = 75
E. L^2 + W^2 = 125


7. If a rectangle's length is increased by 15% and width is decreased by 15%, then
Col A: Area of the initial rectangle
Col B: Area of the later(changed) rectangle


8. If g(x) = 3^(x-1), then what is the value of [g(x+1)-g(x)]/2?


9. Col A: 2^x * 4^ x
Col B: 2^3x


10. There are two names given JOHNSON and JONES. If one letter is picked from both simultaneously at random, then find the probability that the letter is same?


11. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)


12. There are two similar cylinders. One cylinder ‘A’ has water filled to half of its height and is standing on its base. Other cylinder ‘B’ is lying down with water filled to two third of its height (i.e. its diameter).
Col A: Volume of the Cylinder A
Col B: Volume of the Cylinder B


13. If the average of 6, x and y is 0, then what is the average of x and y?


14. If n is a positive integer, then
Col A: Remainder when n^2 - n is divided by 2
Col B: 0


15. Col A: (n^2 + 2n)/(n^3+2n^2)
Col B: 1/n


16. Col A: x^2 + y^2
Col B: (x-1)^2 + (y+1)^2


17. If x/y = (sqrt(2)-1)/2 & z = x + y, then the value of z/y?


18. A hexagon is embedded in a circle with radius xxx(some value). Find the perimeter of the hexagon in terms of diameter?
(Question is similar to this)


19. If class A has the average score of 40 for 65 students & class B has the average score of XXX for 55 students, then
Col A: Total average score
Col B: Total number of students


20. An equilateral triangle is given with its side around some 20(approx). If its height is 20x, then find the value of x?


21. A question with Venn diagram is given like this...
A class has above 100 students. If a teacher took 100 answer sheets & out of them she corrected 22 and all of these 22 got 'A' grade & if 25% of the remaining get 'A' grade, then find the total number of students with 'A' grade?


22. There are two plants 'A' & 'B'.
If the plant 'A', in
1st week grows 1/4th
2nd week grows 1/5th
3rd week grows 1/6th
4th week grows 1/7th
5th week grows 1/8th
6th week grows 1/9th
& if plant B grows 3/4th in these 6weeks period, then
Col A: Growth of plant 'A' in 6weeks
Col B: Growth of plant 'B' in 6weeks.


23. For any series, which of these options are equal normally?
I. Mean
II. Median
III. Mode
A. I
B. I and II
C. I and III
D. I, II and III


24. If a wheel 'A' has half the diameter of wheel B, then
Col A: Number of revolutions made by wheel A to cover 5000 miles
Col B: Number of revolutions made by wheel B to cover 2500 miles


25. Col A: The distance from origin to the point (3, 4)
Col B: The distance from origin to the (5, 2)


26. Given a rectangle field whose length ‘l’ and breath ‘b’ is made area=25000, such that its length is increased by 10% and its breadth is been decreased by 5 %.
Col A: Change in area of the rectangle
Col B: 1200


27. Given numbers from 1 to 10. Two numbers are to be selected from these 10 numbers and they can be same also. What is the probability that at least one of them is even?
A. 1/2
B. 3/4
C. 1/4
& so on....


28.

Given a figure like above with a circle inscribed in an equilateral triangle whose length of one side is given as 6
Col A: Area of circular region
Col B: 9 pi

Tuesday, November 18, 2008

18th November Gre Quants Question

Quant:


1. How many integers are there between 176 and 256, which are not the multiples of 7?


2. Which is the greatest prime factor of 3^100 - 3^97?


3. Find the area of the square which has its diagonal length 10?


4. The x and y coordinates of two points were given and was asked to find its slope.


5. Given coordinates of two points P, Q on a graph
Col A:Distance of point 'P' from origin
Col B:Distance of Point 'Q' from origin
(Question is similar to this.. with P & Q values given)


6. If 'n' is an integer and 26n is a multiple of 12, then
Col A: Value of n
Col B: 11


7. If x^2 = 9, then
Col A: x-2
Col B: 0


8. Two frequency distribution tables are given.
Table I:
Value Frequency
-1 2
-2 3
-3 5
0 7
1 1
2 3
3 3

Table II:
Value Frequency
-1 3
-2 1
-3 4
0 6
1 1
2 3
3 4
Out of mean, median & mode which quantity is common for both tables?
A. Mean only
B. Median only
C. Mode only
D. Median & Mode
E. Mean & mode


9. There are two plants 'A' & 'B'. The plant 'A'
In, 1st week grows 1/4th
2nd week grows 1/5th
3rd week grows 1/6th
4th week grows 1/7th
5th week grows 1/8th
6th week grows 1/9th
& if plant B grows 3/4th in these 6weeks period, then
Col A: Growth of plant 'A' in 6weeks
Col B: Growth of plant 'B' in 6weeks.


10. A company gives a employee code to each of its employees. It consists of 4 alphabets followed by two numbers. All alphabets from A to Z (except A, E, I, O, U, Z) can be used & all numbers from 0 to 9 can be used. How many different possible employee codescan be made using these conditions?


11. A solid has dimensions of 12inchesx20inchesx15 inches. If the solid has a mass of 7kg, then what is the density of the box & its volume in cubic foot?
(Question is similar to this)


12. Two figures R & S given. R is a square with side 9 each & S is a square whose top right quater part has been cut(it is similar to R just a square part on top right is removed) & have side of 9 each. However the dimension of the area removed from top right quater is not given.
Col A: Area of R
Col B: 4/3 of are of S

Monday, November 17, 2008

17th Nov Gre Quants Question

1. If from 1982 to 1990, a company made 210000$ profit & from 1988 to 1992 the same company made 180000$ profit, then what is the profit the company made between 1988 and 1990?





2.


Given a figure as above, with a square ABCD of side 'x'
Col A: Area of shaded region
Col B: x^2/4


3. If Bn = (-1)^n (T)^n-1, then find B5?
Col A: -1-t^2-t^3-t^4
Col B: -1+t^2-t^3+t^4


4. Find the closest value of a100, if an = [n^4+(n+100)^2]/xxx(some bigger value).
(Question is similar to this)


5. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6


6. The value of 208 + 1/2 (208) + 1/4 (208) is ………….


7.



Given a figure similar to the above, as EFGH inscribed in ABCD, 'E' on AB, 'H' on AD; 'F' is on BC and is the midpoint of BC & a line segment connecting H and C. The point where 'F' intersects HC is G. Here E and H are not mid-pts of respective sides as “F”. If angle DHC=45 and side AE=5, then find the area of rectangle EFGH?


8. Given two points A(3, 1) & B(-1, 5) and a perpendicular is drawn from point ‘p’ to this line AB
Col A: Slope of the perpendicular line
Col B: 1


9.


If the area of ABCD is 180, then find the value of ‘X’?


10. What is the highest prime factor of 3^100 - 3^97?


11. Col A: Sqrt(120) + Sqrt(50)
Col B: Sqrt( 80) + Sqrt(90)


12. If 0 < M < N < P < Q < R, then
Col A: Median of M, N, P, Q & R
Col B: Arithmetic Mean of M, N, P, Q & R.


13. If perimeter of a rectangle A is 20 & perimeter of rectangle B is 24, then
Col A: Area of the rectangle
Col B: Area of the rectangle


14.

Given a figure as above with circle inside a square, if the area of the square is 16, then
Col A: Area of circle
Col B: 4PIE


15.If 61% supports ‘X’ and 55% supports ‘Y’ and out of those who support ‘Y’ 80% also supports ‘X’ , then what percentage of people supports neither ‘X’ nor ‘Y’?


16. If the probability of getting females in a group of people is 3/5, then
Col A: Ratio of male to female in that group
Col B: 3/2


17. Given x, y as integers. If A = 896*355*(x-1)(y+2), then
Col A: Unit digit of A
Col B: 0


18.Given an equation of the form [x+3] < =5 ( [ ] implies mod) and there were number lines given
A. Number line saying x lies between -2 to 8
B. Number line saying x lies between -2 to 2
C. Number line saying x lies between -8 to 2
D. Number line saying x lies between -8 to 8
& so on....


19. Given three variables a, b & c which can take any of the three values 0, 1 or 2. If a^2(9) + b(3) + c = 25, then what is the value of a + b + c?
A.3
B.5
C.8
D.9


20. If x > 0, then
Col A: [(2x)^0 + (2x)^1] / [(2x) + (2x)^2 ]
Col B: (2X)^-1

Wednesday, November 5, 2008

5th november Gre Quants Question

1. What is the range of numbers between 400 and 700 that are divisible by 2 and 3?

2. Col A: x^2 + y^2
Col B: (x + 1)^2 * (y + 1)^2

3. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)

4. If 1pen & 1stapler costs 12.50$ and 3pens & 2staplers costs 25$, then
Col A: Cost of 1pen
Col B: 4.20$

5. Given a circle in the coordinate system with centre at (3, 4), find the radius of the circle?

6. Given average of a & b as 10. When 'c' is added to a & b, then the average is 10(again).
Col A: Value of 'c'
Col B: 10

7. If -1 < x < 0, then which of the following will have greater value?
A.0.8x
B. 1/sqrt(x)
C. (5x)/6
D. sqrt(x)
& so on......

8.


Col A: a^2 + b^2 + c^2
Col B: f^2

Answers and Explanations

1. 51. Since the question asks for both divisible by 2 and 3. We need to find the numbers divisible by 6. Now 402 is the first number in the range that is divisible by 6. Starting from 402 there are 17 numbers in the range 400 to 500 divisible by 6. 17 again in 500 to 600 as well as 600 to 700. So the answer is 17*3= 51

2. Relationship cannot be determined. take x and y 0 and take x and y -1 and test.

3. Col B is greater. because the first term is Pn is multiplied by 24 so it will give remainder 0 when divided by 6 but the +8 in the end will give remainder 2.

However P66 = 24^66 + 8*24^65 + 8*24^64 + .... + 8*24 + 8

4. I think the answer is Col B is greater. its given that 1pen & 1stapler costs $12.50 which means 2pen & 2stapler costs $25. But its also given that 3pens & 2staplers costs $25. his is only possible when pens are given for free i.e. zero cost.

5. Radius of the circle cannon be found just from the center

6. Col A and Col B are equal

7. based on the given options the answer is A. As 5/6 is .83 and B and D are not feasible as complex number is not in GRE syllabus.

8. Both Cols are equal.