Thursday, December 17, 2009

17th Dec Gre Quants Question

2. Find the total number of 4-digit odd integers greater than 1000 which have 6 in their hundredth place?


3. Given x((75+y) + (75-y)) = 900.
Col A: xy
Col B: 100


4. Which of the following cannot be expressed as the sum of three consecutive integers?
A. 0
B. 1
C. 2
D. 3
E. 5


5. Given a < 0 < b < c
Col A: ac/b
Col B: ac


6. If 2^(2x+1) − 2^2x = 2^1000, then what is the value of x?


7. Col A: (x^x)^x
Col B: x^(x^x)


8. How many numbers among nine consecutive positive numbers are divisible by 9?


9. Given a set of numbers: {1/2, 1/8, 2, 8}
Col A: Median of the set
Col B: Mean of the set


10. There are 10 set of numbers. Each set contains numbers whose unit’s digit represent the set number. For example, if the set number is 1, the numbers in it are 21, 31, 51, and so on.. If the set number is 5 the numbers are 55, 75 and so on. So, if we take the cube of the numbers in set 7, then it represents which of the following set?
A. 3
B. 4
C. 5
D. 6
E. 7


11. Given that two points (0, 2) and (2, 0) lie on the circle.
Col A: Radius of the circle
Col B: 2


12. If x^2 + y^2 = 2xy, then
Col A: x
Col B: y


13. Given a set of three numbers {x, x^2, x^3}; -1 < x < 0. What is the ascending order of the set?


14. Given 7 < xy < 13, where x and y are positive integers. Find the total number of different possible values for XY?

Wednesday, December 16, 2009

16th Dec Gre Quants Question

Quant:

1. If (a)^(-3) + (b)^(-3) = 0 and ab is not equal to zero, then what is the value of (a/b)^2?


2. Col A: The number of ways of forming different groups of 2 kittens each from 8 kittens
Col B: The number of ways of forming different groups of 6 kittens each from 8 kittens


3. Col A: sqrt (120) + sqrt (50)
Col B: sqrt (90) + sqrt (80)


4. Given x is not equal to 0, y is not equal to 0 and xy is not equal to 0.
Col A: 1/(x^3+y^3)
Col B: 1/(x+y)^3


5. Given a line equation y = ax+b. If x-intercept is 5 and slope is 2, then
Col A: y-intercept
Col B: -10


6. Given a set of numbers: {10, 11, 12, 15, 15, 15, 17, 19, 20, 20}. If a number 15 is included in the series, then which of the following will change?
A. Mean
B. Median
C. Mode
D. Standard deviation
E. None


7. Given total(t) = n * p. If 'p' is reduced by 20%, then by what percentage, 'n' should be increased to balance the total?



9. In a set of five consecutive numbers, if the greatest value is x + 5, then what is the least value?


10. Given two concentric circles. The inner circle is a garden of radius 6m and the outer circle which has a cement path around the garden has a radius 8m. If the width of cement is 0.06, what is the volume of the cement?
(Similar to this)


11. Given statistics of bike sales in a company. In 1992, there is a loss of $600 and in 1993 there is a profit of $100. If in 1992, 3 million bikes were sold and in 1993, 4 million bikes were sold, then what is the net profit?

Tuesday, December 15, 2009

15th Dec Gre Quants Question

Quant:

1. Let ‘S’ indicates sum of all even no's from 1 to 100 and ’N’ indicates sum of all odd no's from 1 to 100, then S-N equals to
A. 0
B. 99
C. 100
D. 199
E. 200
(Similar to this)


2. If x > 1, then
Col A: (x power x) power x
Col B: x power (x to power x)


3. Col A: 2 power x (4 power x)
Col B: 2 power 3x


4. Given sets f0, f1, f2, f3, .................. f9 which has numbers according to their unit digits for example f5 has numbers 5, 15, 25, ....... etc. Then, the cubes of the numbers of set f7 are present in which set?
A. f2
B. f3
C. f5
D. f7
E. f9
(Similar to this)


5. Given f(x) = 4(x power 2) + 20x + 25; x as an integer.
Col A: Minimum value of f(x)
Col B: 0


6. If a ball is dropped from a height of 6 miles, the ball will bounce back with 90% of its previous height. What is the height of the ball after 5th bounce?
A. (6+0.9) power 5
B. (6+0.9) power 6
C. 6(0.9) power 4
D. 6(0.9) power5
E. 6(0.9) power 4


7. Given mod(2x-3) < 8; x is an integer. Find the number of possible values of ‘x’?
A. 1
B. 2
C. 3
D. 4
E. 5
(Similar to this)


8. A circle is inscribed in a square of length ‘x’. Find the area of the circle inscribed in the square?
A. (πx^2) / 2
B. (πx^2) / 4
C. (πx^2)
& so on……


9. Given that there are two parallel lines. P & Q are points on one parallel line and R & S are points on another parallel line. The distance between PQ is same as the distance between RS. If a point ‘T’ is the mid point of PQ, then
Col A: Distance from T to R
Col B: Distance from T to S





11. Two graphs were given with frequencies on y axis and numbers from 1 to 6 on x axis.
The question was to check, which of the following were same for both graphs
I. Mean
II. Range
III. Standard Deviation
(Similar to this)


12. If the number of ways arranging a word is 180, then what is the word?
In options, five words were given.
(Something like this)


13. Col A: Number of positive factors of (2 power 3)(5 power 4)(7 power 5)
Col B: Number of positive factors of (11 power 3)(13 power 4)(17 power 5)


14. If DC6 + 2D = D8C. What can be the value of D?
A. 0
B. 1
C. 5
D. 8
E. 9
(Similar to this)


15.

Given two concentric circles with radius 2 and 5, a tangent is drawn to smaller circle which intersects the larger one at points ‘P’ and ‘T’. Find the length of PT?
(Similar to this)


16. Given (2)^(-6) < x < (2)^(-5)
Col A: 4x
Col B: 1/12




18. There are 20 colored pencils in a pencil stand. The probability of choosing a yellow pencil is 0.8. If there are 6 yellow pencils without an eraser, then what is the probability that a yellow pencil chosen is the one with eraser?
A.1/4
B.1/2
C.1/8
& so on….

Thursday, December 17, 2009

17th Dec Gre Quants Question

2. Find the total number of 4-digit odd integers greater than 1000 which have 6 in their hundredth place?


3. Given x((75+y) + (75-y)) = 900.
Col A: xy
Col B: 100


4. Which of the following cannot be expressed as the sum of three consecutive integers?
A. 0
B. 1
C. 2
D. 3
E. 5


5. Given a < 0 < b < c
Col A: ac/b
Col B: ac


6. If 2^(2x+1) − 2^2x = 2^1000, then what is the value of x?


7. Col A: (x^x)^x
Col B: x^(x^x)


8. How many numbers among nine consecutive positive numbers are divisible by 9?


9. Given a set of numbers: {1/2, 1/8, 2, 8}
Col A: Median of the set
Col B: Mean of the set


10. There are 10 set of numbers. Each set contains numbers whose unit’s digit represent the set number. For example, if the set number is 1, the numbers in it are 21, 31, 51, and so on.. If the set number is 5 the numbers are 55, 75 and so on. So, if we take the cube of the numbers in set 7, then it represents which of the following set?
A. 3
B. 4
C. 5
D. 6
E. 7


11. Given that two points (0, 2) and (2, 0) lie on the circle.
Col A: Radius of the circle
Col B: 2


12. If x^2 + y^2 = 2xy, then
Col A: x
Col B: y


13. Given a set of three numbers {x, x^2, x^3}; -1 < x < 0. What is the ascending order of the set?


14. Given 7 < xy < 13, where x and y are positive integers. Find the total number of different possible values for XY?

Wednesday, December 16, 2009

16th Dec Gre Quants Question

Quant:

1. If (a)^(-3) + (b)^(-3) = 0 and ab is not equal to zero, then what is the value of (a/b)^2?


2. Col A: The number of ways of forming different groups of 2 kittens each from 8 kittens
Col B: The number of ways of forming different groups of 6 kittens each from 8 kittens


3. Col A: sqrt (120) + sqrt (50)
Col B: sqrt (90) + sqrt (80)


4. Given x is not equal to 0, y is not equal to 0 and xy is not equal to 0.
Col A: 1/(x^3+y^3)
Col B: 1/(x+y)^3


5. Given a line equation y = ax+b. If x-intercept is 5 and slope is 2, then
Col A: y-intercept
Col B: -10


6. Given a set of numbers: {10, 11, 12, 15, 15, 15, 17, 19, 20, 20}. If a number 15 is included in the series, then which of the following will change?
A. Mean
B. Median
C. Mode
D. Standard deviation
E. None


7. Given total(t) = n * p. If 'p' is reduced by 20%, then by what percentage, 'n' should be increased to balance the total?



9. In a set of five consecutive numbers, if the greatest value is x + 5, then what is the least value?


10. Given two concentric circles. The inner circle is a garden of radius 6m and the outer circle which has a cement path around the garden has a radius 8m. If the width of cement is 0.06, what is the volume of the cement?
(Similar to this)


11. Given statistics of bike sales in a company. In 1992, there is a loss of $600 and in 1993 there is a profit of $100. If in 1992, 3 million bikes were sold and in 1993, 4 million bikes were sold, then what is the net profit?

Tuesday, December 15, 2009

15th Dec Gre Quants Question

Quant:

1. Let ‘S’ indicates sum of all even no's from 1 to 100 and ’N’ indicates sum of all odd no's from 1 to 100, then S-N equals to
A. 0
B. 99
C. 100
D. 199
E. 200
(Similar to this)


2. If x > 1, then
Col A: (x power x) power x
Col B: x power (x to power x)


3. Col A: 2 power x (4 power x)
Col B: 2 power 3x


4. Given sets f0, f1, f2, f3, .................. f9 which has numbers according to their unit digits for example f5 has numbers 5, 15, 25, ....... etc. Then, the cubes of the numbers of set f7 are present in which set?
A. f2
B. f3
C. f5
D. f7
E. f9
(Similar to this)


5. Given f(x) = 4(x power 2) + 20x + 25; x as an integer.
Col A: Minimum value of f(x)
Col B: 0


6. If a ball is dropped from a height of 6 miles, the ball will bounce back with 90% of its previous height. What is the height of the ball after 5th bounce?
A. (6+0.9) power 5
B. (6+0.9) power 6
C. 6(0.9) power 4
D. 6(0.9) power5
E. 6(0.9) power 4


7. Given mod(2x-3) < 8; x is an integer. Find the number of possible values of ‘x’?
A. 1
B. 2
C. 3
D. 4
E. 5
(Similar to this)


8. A circle is inscribed in a square of length ‘x’. Find the area of the circle inscribed in the square?
A. (πx^2) / 2
B. (πx^2) / 4
C. (πx^2)
& so on……


9. Given that there are two parallel lines. P & Q are points on one parallel line and R & S are points on another parallel line. The distance between PQ is same as the distance between RS. If a point ‘T’ is the mid point of PQ, then
Col A: Distance from T to R
Col B: Distance from T to S





11. Two graphs were given with frequencies on y axis and numbers from 1 to 6 on x axis.
The question was to check, which of the following were same for both graphs
I. Mean
II. Range
III. Standard Deviation
(Similar to this)


12. If the number of ways arranging a word is 180, then what is the word?
In options, five words were given.
(Something like this)


13. Col A: Number of positive factors of (2 power 3)(5 power 4)(7 power 5)
Col B: Number of positive factors of (11 power 3)(13 power 4)(17 power 5)


14. If DC6 + 2D = D8C. What can be the value of D?
A. 0
B. 1
C. 5
D. 8
E. 9
(Similar to this)


15.

Given two concentric circles with radius 2 and 5, a tangent is drawn to smaller circle which intersects the larger one at points ‘P’ and ‘T’. Find the length of PT?
(Similar to this)


16. Given (2)^(-6) < x < (2)^(-5)
Col A: 4x
Col B: 1/12




18. There are 20 colored pencils in a pencil stand. The probability of choosing a yellow pencil is 0.8. If there are 6 yellow pencils without an eraser, then what is the probability that a yellow pencil chosen is the one with eraser?
A.1/4
B.1/2
C.1/8
& so on….