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Showing posts with label GRE DATABASE(QUANT). Show all posts
Showing posts with label GRE DATABASE(QUANT). Show all posts

GRE quant 13th oct

1. If x < 0, then
Col A: 1/x
COl B: -1/x

2. For a cylinder of radius 'r' and height 'h'
Col A: Total surface area
Col B: Curved surface area

3. Given two series of P & F, in which each upcoming term in P series is twice the preceding term and each upcoming term in F series is three times the preceding term. If P1 = 5, F1 = 2, then for which value Pk > Fk.
(Here 1, k are suffixes)

4. Given that A & B can complete a work in 8 hours each and C can do it in 12hours. In how much time will all of them finish the work if they work together?

5. There were 37 employees in a company. If the month july has more number of birthdays than any other month then what is the number of birthdays in july?(provided every month should have atleast 3 birthdays)
Col A: Number of birthdays in july
Col B:3

6. Given three points (2,4),(5,3) & (k,1). If these three points are collinear, then find value of k?
(Question is similar to this)

7. If 'X' machines work for 'Y' hours to produce 'Z' products, then how many hours will 'A' machines take to produce 'B' products provided if the rate of two machines are same?(Values of X, Y, Z, A & B were given)?

8. Let S1, S2, S3,... ,Sn be a series such that, Sn+1 = (1/2)Sn, then
Col A: S6 (2^14)
Col B: S20
(Here 1, 2, 3, 6, 20, n & n+1are suffixes)

9. If -2 < x < -1, then
Col A: x
Col B: 0

10. If |k+2| = |k-2| then,
Col A: k
Col B: 0

11. If -2 < x < -1, then
Col A: x^-3
Col B: x^-1

12. Given 'N' is a positive integer, such that when its multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
a) N*(6/7)
b) N/(5/2)
& so on...

13. Given a straight line equation in X,Y terms
Col A: The slope of the line if the intercepts of X,Y are equal
Col B: 0

14. If x =! -1, then
ColA: 1/(2x + 2)
ColB: 1/(x + 1)

15. Given there are 800 doctors who says 'yes' to the drugs P, Q, R that they work effectively.
P drug....some 38%
Q drug....some 52%
R drug.....some 71%
now, how many doctors say "yes" to Q drug and "don't say yes" to the drug R?
A. 312
B. 910
& so on....

16. Given two straight lines x+y = 1 & 2x+2y = 8, then
Col A: The shortest distance between the two lines
Col B: 3

Read more...

GRE quant oct 14th

1. An Electricity poll has been extended from 3000 to 3799. If a marked place is between 3020 to 3039 then what is the probability that selected point is marked place?
A. 0.025
B. 0.01
C. 0.05
D. 0.02
& so on…
2.

Find the value of 4xy?

3. What is the value of (8) (72)^-5?
A. (72)^-5/8
& other four options were given in the similar form

4.

If the smallest distance from ‘p’ to any point on the circle is 5 and the largest distance from ‘p’ to any point on the circle is 11, then find the distance between centre and the point ‘p’?

5. Which of the following options when multiplied by a number ‘n’ gives a result, which is same as to the result when number ‘n’ is multiplied by 3/5 and the resultant is divided by 7/10?
(Question is similar to this)
A. 21/15
& similar four different fractions were given in the options

6.
<
How many of the above lines have negative slope?

7.

Col A: -xy
Col B: x + y

8. If -3 < x < 0, then
Col A: 1/x
Col B: -3

9. Given two line equations and asked to find y-intercept?

10. If 2^2n+1- 2^2n = 2^1000, then the value of n is?

11. If the ratio of a triangle sides is given as 3:5:7, then what is the largest angle?

12. Find the distance between two lines with equations of the lines given x + y = 5 and x + y = 4?

13. Given a series S1, S2, S3, S4..... such that every term from S3, is the addition of the previous two terms. If S5 = 18 & S8 = 76, then what is the value of S9?

14. If 0 < x < y < z, then
Col A: x/y
Col B: y/z

15. Col A: Radius of the circle having area 36pie
Col B: Radius of the circle having area 12pie

Read more...

GRE quant oct 15th

1. If 5 < x-3 < 9, then
Col A: x
Col B: 8

2. If (2^2n+1) + (2^2n) = 1000, then
Col A: n
Col B: 500

3.

(@ all: this is the appropriate question given with seven lines)
A. 2
B. 3
C. 4
D. 5
& so on…

4. Given that a pump, pumps water from a well at the rate of 60gallons/min for duration of 1hour. If the pump rate is increased by 50% for next 2hours, then what is the total water pumped in this 3 hours duration?

5. If y = 2x + 9 & x^2 = 4, then
Col A: x
Col B: y

6. Given Set A = 1, 2, 3, 4, 5 ...m & Set B = 1, 2, 3 ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

7. Given slope of a line as 2.5 and a point on the line as (20, 50).
Col A: y-intercept
Col B: -25

8. Given 2 < a < 5 < b < 8 and if the average of 3, 6, 9, a, b is 6.2, then find the value of a + b?

9.

Given a figure like above, here PQRS is a square of length 10 and the line VT is the perpendicular to the diameter of the semicircle PQ and it is also given that PU = 2, then find the length of VT?

10.

Find the distance of QP?

11. Given that there was about 8500 distribution numbers. If the score of 26.7 was 35th percentile and 37.1 was 50th percentile, then how many distribution parameter numbers accounted for about 50 percentile of the distribution?

12. Given 'N' is a positive integer, such that when it is multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
A. N*(6/7)
B. N/(5/2)
& so on...

13. If P = Sum of even integers from 1 to 100 & Q = Sum of odd integers from 1 to 100, then what is the value of P – Q?
A. 0
B. 99
C. 100
D. 101
E. 200

14. If x & y are integers, then
Col A: sqrt(x) + sqrt(y)
Col B: sqrt(x+y)

15. Col A: (n + 30)^2 + (n – 30)^2
Col B: 120n

16. Given a quadrilateral with the four coordinates and asked to find the area of the quadrilateral?

Read more...

GRE quant database till oct 16th

1. If |2 - k| = |2 + k|, then
Col A: k
Col B: 0

2. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 < =x < =37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....

3. If n < 0, then
Col A: Mean Deviation of 1, 2, 1
Col B: Mean Deviation of 1, 2, n.

4. If f(n, k) = n!/(k!*(n-k)!), then
Col A: f(16,3)
Col B: f(16,14)

5. How many even integers have squares between 37 and 227?

6. In a class, there are 90 students. Average score of the students who passed is 84, and average score of the students who failed is 60. If the total average score of the 90 students is 80, then find the number of students who passed?
A. 15
B. 24
C. 42
D. 76
& so on…

7.

Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2

8. Given, the length & breadth of a rectangle as ‘l’ and ‘b’, if the length of the rectangle is increased by 80% and breadth of the rectangle is increased by 20%, then
Col A: The percentage increase in area
Col B: 70%

9. If x and y are positive integers, then
Col A: (x^2 + y^2)/2
Col B: xy

10. Given two line equations, x-intercept of equation1 is given and y-intercept of equation2 is given and asked to find the distance between two lines?

11. If y = 2x + 4 & x^2 = 4, then
Col A: y
Col B: 6

12. Given A and B together can do a work in 8days, if ‘C’ can do a work in 12days then altogether A, B & C can do the same work in how many days?

13. Given following table

Data Percentile
16.8 43th percentile
17.1 49th percentile
17.3 52th percentile
17.8 55th percentile
18.2 60th percentile

Find the median of the above observation?

14. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July?(provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B:3

Read more...

GRE quant database till oct 17th

1. If 0 < x < y < z, then
Col A: y/z
Col B: x/y

2. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then what will be the increment form 1995-2000?

3. If y(0.375) = 1, then (y^2 -1) = ?

4. The line joining the origin and which of the following points have greater slope?
A. (-1, 2)
B. (-3,-3)
C. (1, 4)

5. Given b = -8 & (a+b)^2 = 36
Col A: a
Col B: b

6. A certain amount is increased by 30% from 1976-1984 and increased by 82% from 1976-1986.
Col A: Find the percentage increase from 1984-1986
Col B: 50%

7. If an integer n>2 takes the form k! and this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

8. The value of (5*4) + 2(5-8+3) =?

9. There are 10,000 numbers, ranging from 20 to 80. If 62 is 60th percentile, then
Col A: What percentile is 74
Col B: 70th percentile

10.

The radius of the smaller circle is 2 and radius of bigger circle is 5. If the tangent to the smaller circle intersects the bigger circle at ‘P’ and ‘Q’, then find the length of PQ?

11. For a series S1, S2, S3.......Sn. If S2 = 2 & Sn = Sn-1 + 2S2, then find S18?

12. Given a line passing through a point, & given slope, find the x-intercept?

13. There was a circle, keeping diameter as base… an isosceles triangle was drawn, such that its other vertex was on the circumference of the semicircle, the area enclosed between triangle and semicircle was shaded.
Col A: The area of the triangle
Col B: The area of the shaded region.

14. A company XXX sells z products, and price per product is some y. If the cost of product drops by 20% then by how much should the sales increase to keep the revenue as before?

15. Given a table
   X      f
   0      n
   1      100-n
Col A: Value of x for mean to be greater than 5
Col B: 50

16.

Col A: Area of the shaded region in the square
Col B: Area of the unshaded region in the square

17. If y = 2x+5 & x^2 = 4, then
Col A: y
Col B: 6

18. Two lines L1 and L2 are cut by a transversal at B and A respectively. E is a point on L2 such that angle BAE = 58. C is a point on L1 on the other side of transversal as E such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

19. Given x-intercept of a line = 2 & y-intercept = -1.
Col A: Slope of the line
Col B: -1/2

20. Given y = ax + b, such that slope of line = 2 and x-intercept = 5.
Col A: y-intercept
Col B: -10

21. Given average of 90 students in a class is 80. If the average of students who passed is 84 and average of students who failed is 60, then
Col A: Number of passed students
Col B: 75

22. Average of five numbers 22, 19, 25, 28, 26 is increased by adding 4.5 to each number, then what is the median of increased set of numbers?
A. 26.5
B. 24.5
C. 27.5
D. 28.5
E. 29.5

23. If N = 86^233 & P = 81^216, then
Col A: unit digits in N+P
Col B: unit digits in NP

24. Given equation of parabola as y = x^2+3. If the point A = (2, k) is on the parabola and B is the point at which it cuts y-axis, then AB =
A. 2
B. 3
C. sqrt(5)
D. sqrt(5) + sqrt(3)
E. sqrt(5) - sqrt(3)

25. Given equation of line as 2x+3y=1.
Col A: x-intercept
Col B: 1/2

26. If P1, P2 pipes together can fill a tank in 8 hrs and P3 pipe can fill in 12 hrs, then time in which P1, P2 & P3 together can fill tank?

27. Given A1 = 1/2 and A(n) = n/(n+1)*A(n-1). If A(k) = 1/15, then
Col A: k
Col B: 14

28. If a = 2^3*3^4*5^6 & b = 11^3*13^4*17^6, then
Col A: number of positive factors of A
Col B: number of positive factors of B

29. The Number of integer values of ‘x’ satisfying |3x-2| < 8 is ……

30. Given that 2x-1 > 0 & 3x-2 > 0, then
Col A: x
Col B: 7/12

31. The probability of a girl (some name) getting a line busy every time she calls is 2/3. She makes one call on each of 4 consecutive days.
Col A: Probability of she getting the line busy on each of the 4 days
Col B: ¼

32. If ABCD is parallelogram with adjacent sides 10 and 16, then
Col A: Area of ABCD
Col B: 155

33. If s+t+st is an even integer and s and t are positive integers
Col A: Remainder when s is divided by 2
Col B: Remainder when t is divided by 2

34. If the area of triangle with vertices (k, k), (k+4s, k), (k, k+s) is 32, then the value of s is?

35. Number of bacteria in pot A doubles every 2 hr whereas in pot B it increases by 50% in 1 hr. The number of bacteria in pot A and pot B at 8 in the morning is 5000.
Col A: Number of bacteria in pot A at 2 in afternoon
Col B: Number of bacteria in pot B at 2 in afternoon.

36. Which of the following is closest to 2400?
Options were such that by inspection you can easily guess the answer.
Ans: 51.4*41

37. If the angles of a triangle are 2x, x and x+20, then the greatest angle is
A. 60
B. 80
C. 70
D. 90
E. 100.

38. If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?

39. The rent for a room is calculated as follows. For the first 4 hrs ‘r’ dollars is charged. From there on 0.2r dollars is charged per hour.
Col A: The rent charge for the first 9 hours
Col B: (9/5)*r.

Read more...

GRE quant databse oct 20th

1. The value of (51!-50!)/(50!-49!)is........

2.

Four identical squares are attached to a square of same dimensions at the four edges as above and centers of all the attached squares are joined forming a square, what percentage... more is the area of the square...such formed (joining the centers) compared to the given identical squares area?

3. How many even integers have squares between 37 and 621?

4. There is a list of 12 numbers, all are positive & even and their some is given as 50.
Col A: Range of these twelve numbers
Col B: 20

5. Given that, if x and y are decimals, then x+y when rounded to 100th decimal it is equal to x.
Col A: y
Col B: 0.007

6. If x & y are both greater than 0, then
Col A: sqrt (10x) * sqrt (10y)
Col B: 10 * sqrt (xy)

7. Given that, if ‘x’ belongs to a set of prime numbers less than 10 and y belongs to a set of prime numbers greater than 10, then
Col A: (-1)^x+y
Col B: (-1)^xy

8. If 180 is the number of ways in which letters of a word is arranged, then which of the following words can be arranged in the same number of ways?
A. CABBIE
B. DEBBIE

9. In a distribution of 8500 parameters, if 26.7 is 56 percentile & 37.1 is 78 percentile, then what is the percentile of x (26.7 < =x < =37), that is closest in this range?
A. 1888
B. 4750
C. 6650
& so on....

10. Given 2 < a < 4 < b < 10, if the average of 3, 6, 9, a, b is 6, then
Col A: a-b
Col B: 4

11. Given 'N' is a positive integer, such that when it is multiplied with 3/5 and the resultant is divided with 7/10 then its equal to which of the following
A. N*(6/7)
B. N/(5/2)
& so on...

12. Given two circles that are concentric having radii 2, 5. If the tangent to the smaller circle intersects the bigger circle at ‘S’ and ’T’, then find the length of ‘ST’?

13. If slope of first line is -2 and other line is ½, then find the angle between the lines?

14. If 0 < a < b < c, then
Col A: b/a
Col B: c/b

15. A triangle with three sides were given as a = 4, b = 3, c = 6
Col A: Angle between sides a and b
Col B: 90

16. If n > 10000, then
Col A: thousand's digit of n/8
Col B: 7

17. If a parallelogram has side 16 and 10, then
Col A: the area of parallelogram
Col B: 155

18. If a probability of receiving a busy tone in a call is 1/3, then
Col A: Call made for time probability of not receiving a busy tone
Col B: 1/4

19. Col A: The units digit in 86^34
Col B: 6

20. If a*-2 + (a*-1)6 + 9 = 0, then what is the value of ‘a’?

21. In a total of 36 members, if 10 play chess, 16 play cricket and 20 play none of them, then what is the number of members who play any one of these games?

22. If -3 < x < 0, then
Col A: 1/x
Col B: -3

23. Given A+L =130. If ‘A’ is the area of rectangle and ‘L’ is the length of the rectangle. Find the value of A? (Provided ….the breadth ‘B’ is given as 6)

Read more...

GRE quant database oct 21st

1. The value of (5*4) + 2(5-8+3) = ?

2. Col A: (-36)^49
Col B: 36^(-49)

3. If x > 0, then
Col A: 2^2 * sqrt(x)
Col B: 4^2 * sqrt(x^2)

4. If t^2 = -3(2t + 3), then the value of t is?

5.

If the area of the above circle is 4pie and area of the triangle is 3, then find the hypotenuse “PQ”?

6. A bar graph with number of students and marks obtained.

Marks No. of students
40 3
60 4
70 14
80 2
90 11

If the total number of students is 40, then
Col A: Median of the data
Col B: Average of the data

7. Given a table of Category and Number of students
Category No. of students
Elementary school 5
Junior school 4
High school 17
College 9

If total students = 35
Col A: probability that a student chosen randomly will not cross junior school
Col B: probability that a student chosen randomly is from college

8. Given x-intercept and y-intercept and asked to find the slope?

9. Given slope as 2.5 and a point on the line as (30, 50).
Col A: y-intercept
Col B: xxx (some value)

10. Given two points and asked to find the distance between the points.

11. If x =! 1, then
Col A: 1/( 2x+2)
Col B: 2x+2

12. Data Interpretation: Minimum wage per person is given for 5 countries. First question was "percentage by which one countries wage per person was more than the other".
&
Second question: What is the per person wage of country X & O combined?
Country X - 564 & Country O - 705 --- (given in the data)
a. 500
b. 600
c. 635
d. 692
e. 705

13. If an integer n > 2 takes the form k! and this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

Read more...

GRE quant database oct 22nd

1. If an integer n>2 takes the form k! And this satisfies if and only if the product of the 'n' numbers in that factorial should be less than or equal to k.
Col A: n!/(n-1)!
Col B: n!-(n-1)!/(n-2)!

2. Given a table

X f
0 n
1 100-n

Col A: Value of n for mean to be greater than 0.5
Col B: 50

3. If S1 = 2 and if Sn =S(n-1)*1/2 then
Col A: S6
Col B: 2^14(S20)

4. A bar graph with number of students and marks obtained.
Marks No. of students
40 3
60 4
70 14
80 8
90 11

If the total number of students is 40, then
Col A: Median of the data
Col B: Average of the data
(@ all: this is the appropriate question)

5. If 14% people have ovens and 27% have washing machines, then what is the range of the people having neither oven nor washing machines?
A. 0-14%
B. 27-41%
C. 59-73%
D. 73-86%
(Options were something like that)

6. For a line 'l', if x-intercept = y-intercept = 4, then
Col A: Slope of line 'l'
Col B: -1

7. If 2 < a < 6 < b < 10 & the arithmetic mean of 3, 6, 9, a, b is 6.2, then
Col A: 6 - a
Col B: b - 6

8. If there is a list of some numbers, whose mean is 10.8 and standard deviation is '0', then
Col A: Range of that list
Col B: 0

9. If 'x' is 130% of 'y', then 'y' is what percentage of x?

10. If the total amount is calculated, by multiplying the number of goods and the price of each good, then if the number of goods is decreased by 20%, by what percentage must the price should increase to compensate the decrease?

11. If xy =! 0 and y^-1 = 3x^-1, then which of the following is equivalent to it?
Options in terms of x & y were given
(To the given options, examiners answer: y = x/3)

12. If 0 < x < y < z, then
Col A: x/y
Col B: y/z

13. If b = -8 & (a+b)^2 = 36, then
Col A: a
Col B: 14

14. In 1990, the wages of the employees in a company is 'x'. If from 1990-1995, the increment of wages is 15% and from 1990-2000 the increment is 30% then
Col A: Percentage increment form 1995-2000
Col B: 15%

15. How many number of even squares are their between 60 and 625.
A. one
B. Two
& so on..

16.

If x < y, then
Col A: Area of the triangle ABC
Col B: Area of the triangle PQR

Read more...

GRE quant database Till Oct 23rd

1. Given A+L =130. If ‘A’ is the area of rectangle and ‘L’ is the length of the rectangle. Find the value of A? (Provided ….the breadth ‘B’ is given as 6).

2. Two lines 'L1' and 'L2' are cut by a transversal at 'B' and 'A' respectively. 'E' is a point on 'L2' such that angle BAE = 58. 'C' is a point on 'L1' on the other side of transversal as 'E' such that BC = CA.
Col A: Angle BCA
Col B: 60
Note: All angles are in degrees and figure was given.

3. Given y = ax + b, such that slope of line = 2 and x-intercept = 5.
Col A: y-intercept
Col B: -10

4. Given equation of parabola as y = x^2+3. If the point A = (2, k) is on the parabola and B is the point at which it cuts y-axis, then AB =
A. 2
B. 3
C. sqrt(5)
D. sqrt(5) + sqrt(3)
E. sqrt(5) - sqrt(3)

5. Given A1 = 1/2 and A(n) = n/(n+1)*A(n-1). If A(k) = 1/15, then
Col A: k
Col B: 14

6. There were 37 employees in a company. If the month July has more number of birthdays than any other month then what is the number of birthdays in July? (provided every month should have at least 3 birthdays)
Col A: Number of birthdays in July
Col B: 3

7. In a group of men and women, 1/3 are men. If 2 women leave the group, then men will be 2/5 of the group. How many members are there in the group?

8. Given a series S1, S2 ……....Sn. If S2 = 2 & Sn = S(n-1) + 2S2, then find S18?

9.

What is the maximum angle?

10. Col A: (n + 30)^2 + (n – 30)^2
Col B: 120n

11. If x & y are positive integers, then
Col A: x^2 + y^2
Col B: xy

12. Given two lines & asked to find the distance between them.

Read more...

GRE quant database till oct 2nd

1. Given Set A = 1, 2, 3, 4, 5,...m & Set B = 1, 2, 3, ...n where 'n' is even and 'm' is odd.
Col A: Percentage of odd numbers in A
Col B: Percentage of even numbers in B

2. If l(3x-2)l < 8 then find the value of x?

3. If a1, a2, a3.........an are such that each term is 2 times the preceeding term & p1, p2, p3.......pn are such tht each term is 3 times the preceeding term. If a1= xxxx(some value) and p1 = xxxx(some value) then find the least number of n such that Pn > An?

4. In a school, there are 720 people. If 300 opted for course x, 350 for y, 200 for z, 100 opted for no course and 150 opted for exactly two courses then what is the number of people who opted for all the three courses?

5. A group can charter a particular aircraft at a fixed total cost.If 36 people charter aircraft rather than 40,loss per person is 12$. What is cost per person if 40 people charter it?

6. On a street, there are four houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?
A. 4
B. 24
C. 64
D. 81

7. (1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?

8. If -2 < x < -1, then
Col A: 1/x3
Col B: 1/x

Read more...

GRE quant database till oct 1st

1. If a < 0 < b < c, then
Col A: ac/b
Col B: ac

2. If x & y are not equal to zero, then
Col A: sqrt(x) + sqrt(y)
Col B: sqrt(x+y)

3. If (x-2)(x-3)(2x-15)(4x+1) = 0, then find the product of maximum and minimum value of x?

4. Given that, if a person has 5 pair of socks of different colors and if 2 are chosen at random then what is the probability that both of them are of same color?

5. If a clock shows exactly 4 '0' clock right now, then what will it show exactly 1195 hours later?

6. If x=! 0, then
Col A: lxl – 2
Col B: lx-2l

7. If a point (1, 2) lies on the line Mx + Ky = 2, then
Col A: k
Col B: 0

8. If it takes ‘t’ mins to travel ‘X’ miles, then
Col A: The time taken in hours to travel 900miles is
Col B: 15t/x

9. The range of list-1 is 16 and range of list-2 is 10(approx values). If both the lists are combined then what will be the minimum value of their range?

10. If x, y, z are negative integers, then
Col A: x + y + z
Col B: 1/x + y + z

11. Col A: 0.01/1- 0.01
Col B: 0.1/1- 0.1

12. In every month, a hospital is opened only in last week. If 10 people travel through bus to hospital, what is the probability that atleast two people travel on the same day?

13. If x < 0, then
Col A: -x
Col B: lxl

14. There is a swimming pool in the shape of an upright right circular cylinder whose base diameter is 20ft and depth(of cylinder) is 4ft. What is the volume of water, if the water is present at a uniform depth of 3ft 6inches?

15. If t^4 = 16, then
Col A: t
Col B: 2

16. If [z] represents greatest value less than or equal to z and x & y are positive, then
Col A: [x]+[y]
Col B: [x+y]

17. Given that, there is a field with 'r' sections in which there are 's' sub- fields in each section. It is also given that there are 5 employees for working and each one does the work equally. If there is an employee Annie who does the work of her and also 1/3 work of the other colleague, then
Col A: Work done by Annie
Col B: rs/4

18. Which of the following operations below, would not affect the standard deviation of the above numbers
A. When 6 is added to each number
B. When 3 is added to each number.
C. When each number is mutiplied by some number x
D. When each number is divided by some number.
(Question is similar to this)

19. There is a square floor with a smaller square carpet. The side of floor is 10% greater than that of carpet and the difference in the areas were given. What is the side of the carpet?
(Question is similar to this)

20. If the probability of A doing a work is 2/3 and B doing it is 4/7, then what is the probabilty of neither of them do it?

21. If t^4 = 16, then
Col A: t
Col B: 2

22. If x, y, z are real positive numbers.
Col A: Median of x, y, z
Col B: Median of x^2, y^2, z^2.

23. If x, y are two real numbers and x>0 & y<1, then
Col A: mod(x-y)
Col B: 1

24. If 100 < x < 225, then
Col A: sqrt(x)+20
Col B: sqrt(900+x)

25. If (n-2)*(n-3) = 0, then
Col A: -2n+1
Col B: 2n-8

26. The probability of A hitting a target is 2/3. And the probability of B hitting the same target is 4/7. So, what is the probability that neither of them will hit the target?

27. If ak = 1/k-1/(k+1), then find out the summation of a2 to a100?
(Here k, 2 & 100 are suffixes)

Read more...

QUANT DATABASE (Till Sep 4th)

1. A 6 bicylists has to be chosen from 4 adult and 4 children
Col A: How many 3 adult and 4 children teams can be formed
Col B: How many 2 adult and 2 children teams can be formed

2. An octagen was inscribed inside a circle and two lines were drawn connecting to the center from the edges of one side of the octagen. Find the angle between these two lines?

3. An enterprise has a value of 10 - 20millions. If they give shares worth 100$-1000$ to all their employees for the entire value of the company, find the number of employees?
A. 50,000
B. 55,000
C. 60,000
& so on.....

4. An isoceles triangle was given with two equal sides given as 'x' and the unequal side as 'y'.
Col A: y
Col B: 2x

5. Given the average of 7 numbers as 64. When two numbers are removed from them, the average becomes 60, find the average of the two removed numbers?

6. If x^2 - 4x = 4(x^4 + 4x - 4) then what are the maximum number of possible values of x?

7. If z is a positive integer & if [z] represents the greatest value <=z then
Col A: [x+y]
Col B: [x]+[y]

8. If 'x' & 'y' are two integers, then
Col A: 40^x*41^y
Col B: 40^x+1*41^y-1

9. A square carpet is laid on a square floor and the area of square floor is 30.64 more than the area of carpet. With the area of floor being 10% more than area of the carpet, what is the area of the carpet?
(Given question is similar to this.... but numerical values(given above) may not be exact)
A. 8
B. 9
C. 10
D. 11
E. 12

10. Col A: Standard Deviation of 10, 20, 50, 70, 90
Col B: Standard Deviation of 10, 30, 50, 80, 90.

Read more...

QUANT DATABASE (Till Sep 5th)

1. Given the measurements of a rectangle as 80ft, 50ft. If the shorter side is increased by x% then the area after increase becomes 5400. What is the value of x?
A.20
B.25
C.30
D. None

2. In a polar axis co-ordinates system, if one point lie at a distance of 3 units from origin subtending an angle ‘Ѳ’ with the origin and another point is at exactly 55 degrees more than the first, find out the distance between the two points and also the angle subtended by the second ,in radians ?

3. Given two points (on exactly opposite ends of a circle) as (-3, 0) and (0, 5). Find radius of the circle?

4. If ‘A’ hits a target with a probability of 2/7 and if ‘B’ hits a same target with a probability of 7/16 then if both of them shoot, what is the probability that neither of them will hit the target?
A. 1/7
B. 1/21
& so on…

5. If a point in a particular co-ordinate system is (2, 9) and in another co-ordinate system is (-8, 81) then by how many degrees should the first co-ordinate system axis be rotated to get the send co-ordinate axis?

6. Given a container has a capacity V and a liquid is filled up to 1/3 of its capacity. Another container has capacity W and a liquid is filled up to 1/7 of its capacity. If both these are mixed and poured into another container whose capacity is X. Find out the fraction of occupation in the last container.

7.

If one feet = 3yards and painting each yard costs some xxx dollars with canvassing cost 20% extra then cost of painting & canvassing the area is?
8. If n is an integer, the number of primes in between n and n+6 is?
A. 0
B. 2
C. 6
D. 3
E. 4

9. If x > 0 then
Col A: x+(1/x^-2)
Col B: x^2+(1/x)

10. Given an equation of a straight line as x + y = 4. This line makes a right angled triangle intersecting positive x-axis and y-axis. Find out the area of the triangle?

11. Col A: (1/3)^-1
Col B: 3

12. If 1 liter paint is required for painting 16sq.mt then find the paint required for painting 64cub.mt?

13. A 16(n=4) squared box was given. All squares which are on perimeter was given, the corner 4 squares were not painted and the question is... If n>=5, then find the number of shaded squares?

14. Given two lines of the form y = ax+b and y = cx+d which intersect each other. Find y-coordinate?
(Question is similar to this)

15. The value of the expression 1/3*| y - x | (where y = x-1) is ----?

16. If 'x' & 'y' are two integers, then
Col A: 40^x*41^y
Col B: 40^x+1*41^y-1

17. If a line 'm' has points (2,1) and 'l' is the line parallel to 'm'
Col A: Slope of the line m
Col B: Slope of the line l

18. If ky + mx = 4 and the point is (2,3)
Col A: k
Col B: 1

19. If the equal side of an isosceles triangle is 30 then the unequal side can be between
A. 0 to 45
B. 0 to 60
C. 45 to 60
& so on

20. If x < 0 then (-x)(-x)/(-x)= ?
A. x
B. |x|
C. -x
D. -x^2
E. x^2

21. A Geometrical figure of hexagon with 12 equilateral triangles is given and asked to find the perimeter of the hexagon?
(Question is similar to this)

22. A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sub sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
A. 14*8/5
B. 15*14/18
C. 18*4/15
D. 4*15/18
E. 7*4/15

23. Given a line which is passing through {1/2, 1/2} & origin. Which of the following equations has same slope?
A. Y = X
& so on...

24. Another question had a series of numbers not arranged in any ascending or descending order and the question asked is to how much more is the median of the series above when compared to the mean of the above series?
(Question is similar to this)

25. Given two lines ‘L’ as y = ax + b and another line ‘M’ as y = dx + c where a=! d and b=! c and ad=! bc. Express the equation of lines in terms of a, b, c, d when the lines are intersected?

26. If t^4 = 16
Col A: t
Col B: 2

Read more...

GRE QUANT DATABASE (Till Sep 3rd)

1. A person has 10 pairs of sox and each are differently colored. If a person picks one pair of sox simultaneously, what is the probability that it is a same colored pair?
A. 1/4
B. 1/5
C. 1/9
D. 1/10
E. 1/(xx)

2. If the LCM of x, y is 24 and the LCM of k, z is 30 then what is the LCM of x, y, k, z?

3. Given that a fruit vendor has 'T' fruits and he sells 150 fruits of them for $0.36. The next day the vendor wants to get the same amount of money he got the previous day, so he changes the price, What is the changed price in terms of 'T'?
(Question is similar to this)

4. If t^4 = 16 then
Col A: t
Col B: 2

5. If the angles of a triangle are in the ratio of 1:2:3 then what is the largest angle?

6. Given set A:{15,16,17,18,19} and set B: {6,7,8,9}. If set C is the sum of set A and set B elements then what are the different possible values of set C?

7. Given an equilateral traingle ABC, & 'D' is the midpoint of BC. If AD = X then what is the perimeter of the triangle in terms of x?

8. Given a line which is passing through {1/2,1/2} & origin. Which of the following equations has same slope?
A. Y = X
& so on...

9. If the volume of the cylinder 'A'(whose radius is 'R' and height is 'H') is 'K' then what is the volume of an another cylinder B whose radius & height is double the radius & height of cylinder A?
Col A: K
Col B: 4K

Read more...

QUANT DATABASE (Till Sep 2nd)

1. Col A: 3^50
Col B: 2^25

2. Given a set S = {1, 2, 3, 4, 5 } & a set T = {6, 7, 8, 9, 10}. When the values in S are added with T then how many different values will be formed?

3. A 6 bicylists has to be chosen from 4 adult and 4 children
Col A: How many 3 adult and 4 children teams can be formed
Col B: How many 2 adult and 2 children teams can be formed

4. If it take 1 litre of enamel to paint 16 sq.mtrs then how much litres of enamel is required to paint 64 cubic metrs?

5. If a line M has points (2,1) and L is the line parallel to m
Col A: slope of the line m
Col B: slope of the line l

6. If a line ky+mx=4 passes through point (2,3) then
Col A: k
Col B: 1

7. If x > 0 and y > 0 then
Col A: x^2+y^2
Col B: (x+y)^2

8. What is the value of 0.000004/40000=?

9. If n+n+n+n = n+12 then what is the value of n?

Read more...

GRE QUANT DATABASE (Till Aug 29th)

1. If a/b @ c = (a/b) / c then (7/3) @ 4 =?

2. Col A: 100! / 99!
Col B: (100! – 99!) / 98!

3. Given three points a, b, c. If a, b lie on the same line and if all these three points are at same distance between each other, then
A. None of the points lie on the same plane.
B. Only one point lies on the plane.
C. Two points lie on the plane.
D. More than two points lie on the plane.
E. None of the above.

4. Given a series -9, 10, -11, 12, -13. . . . . . . . . . .80
Col A: sum of first 27 numbers
Col B: -22

5. If 100 < Y
Col A: 2y
Col B: 400

6.

As in above figure a, b and c are three angles & it is given that RQ is parallel to NO and PQ is parallel to MN.
Col A: a
Col B: b+c

Read more...

GRE QUANT DATABASE (Till Aug 28th)

1. If N is an odd and negative integer and it is a product of ten different integers.
Col A: no. of odd integers used in the product to get N
Col B: no. of negative integers used in the product to get N

2. Given a figure of combination of two triangles, in which first triangle contains 90, x, y degree angles and second triangle contains 90, z, w degrees. Which of the following conditions must be true?
I. x - w = z - y
II. x + y = w
III. z = 90 - w
A. I only
B. II only
C. I and III only
& so on....

3. Given a sequence -9, 10, -11, 12, -13, 14, -15..... Find the sum of first 40 integers in sequence?

4. If n > 1 then
Col A: (-1)^(4n-3)
Col B: (-1)^(4n-2)

5.

If all the seven circles are shaded like above then what is the area of unshaded region?

6. The standard deviation of the series 3, 7, 9, 13, 17 is?

7. Col A: 77!/78!
Col B: 87!/88!

8. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75

9. If x, y are the prime numbers greater than 10, then which of following must be even?
A. (x^2)*(y^2)
B. x^2 + x*y
C. 2*x*y + x
& so on....

10. Given a line in xy-plane with slope k = -3 & the points are (2, k), (-3, m)
Col A: k-m
Col B: -15

11. The approximate value of ((61.16)(.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

12. Col A: 0.9999/0.9998
Col B: 1.0002/1.0001

13. There is a junior and senior team who has taken tests. The average of junior team members who have taken tests are 88 and the average of senior team members is 92
Col A: the average of senior and junior team
Col B: 90

14. When a number is divided by 12, the remainder is 5. What is the remainder when the square of that number is divided by 8?

15. If the selling price of a product is 25% lesser than its list price and 40% greater than its cost price, then what is the list price of the product if the cost price = 30 ?

16. Last year, 1/4 of factory workers are architects. One year ago 60 workers newly joined in which 50 are architects and no one left the factory since last year and if now 1/3 of factory workers are architects then find the total number of workers?

17. When 'w' is divided by 14, the remainder is zero. If 'w' is three lesser than it value and when divided by 15, its remainder is 14. What is the value of 'w'?

18. If RST is isosceles triangle with RS = ST and P be a point on the side RT, then which of the following conditions must be true:
i) SP < ST
ii) SP < RT
iii)SP < PT

Read more...

GRE QUANT DATABASE TILL AUGUST 27TH

1.

If ‘D’ is the mid point of EC and if the area of circle is 4pi, then what is the area of the triangle ABC?

2. If l2x + 49l < 13 then
Col A: x^2
Col B: 9

3.

If the above polygon has all sides equal, then
Col A: AD
Col B: AF+FE

4. Given a line in xy-plane with slope k =-1/2 then
Col A: x-intercept
Col B: y-intercept

5. If the median of a seven number sequence is 2n+2 then find the Arithmetic mean of that sequence?

6. Col A: 100!/99!
Col B: (100! - 99!) / 98!

7. If x – y = 1 then
Col A: x^2 – y^2
Col B: 0

8.

As the shown in the figure, the diameter of the inner circle is 6ft and the difference in the radii of inner & outer circle is 1ft. Find the area of the shaded region?

9. Given that the room numbers of a floor are numbered from 101 to 550. If particular rooms are selected of numbers that start with 1, 2, 3 and lasts with 4, 5, 6 then in how many such ways the rooms can be selected?
(Given question is similar to this)

10.

Given area of the shaded region of the circle (whose centre is ‘o’) as some (XXX) value and asked to find the radius of the smaller circle?

11. A parallelogram diagram is given whose length is 9 and breath is 6 and the angle between the breadth and length is given as ‘x’ degrees (x degrees is greater than 90).
Col A: Area of the parallelogram
Col B: 50

12. Given 'k' and 'm' as two numbers whose LCM is 'km' & 'm' and 'n' are two numbers whose LCM is 'mn'. If k, m, n > 0 then
Col A: LCM of 'k' and 'n'
Col B: 'kn'

13. Given that the average salary of n employees is 32000, average salary of another different group of n-1 employees is 33000
Col A: The average salary of 2n-1 employees
Col B: 32500

14. A toy manufacturer company manufactures 20,000 toys and exports ¾ and 1/10 and donates some (xxx) value for charitable trust. Find the number of toys left in the company?

& Few more previous database questions……

Read more...

GRE QUANT DATABASE TILL AUG 26TH

1. A sequence is given from -8. . . . . .184 this sequence is got by adding 3 to the previous
Col A: n
Col B: 65

2. If 150 < y< 300 then
Col A: 2y
Col B: 400

3. If (63)^n is divisible by 3^16 then
Col A: n
Col B: 7

4. What is the value of {1 / (2 - sqrt3)} = ??

5.The approximate value of ((61.16)(.98)^2)/sqrt(401) is
A. 5
B. 4
C. 3
D. 2
E. 1

6. If N = (-2)^x, where x is a negative integer and if 'm' is a number which is the difference between the highest possible value of N and the least possible value of N?
Col A: m
Col B: 3/4

7. Given a series -9, 10, -11, 12, -13. . . . . . . . . . .80
Col A: sum of first 27 numbers
Col B: -22

8. There are 35 females in a club having an average age of 'f', and there are 45 males in a club having an average age of 'm'. If 'f' is greater than 'm' then
Col A: Average age of all 80 members
Col B: (f+m)/2

9. (Root(28)/root(112) ) – (root(7)/root(112))
A. 1/16
B. 4/3
C. 1/4

10. There are rooms from 101 to 550 inclusive in which the starting rooms are numbered from 1, 2, 3 and the waiting rooms are numbered from 4,5,6. What is the probability that the rooms 4, 5, 6 will be choosed randomly?

11. If 1 < a < 2, 3 < b < 4, 5 < c < 6
Col A: ab/c
Col B: 1/6

12. If 2^n > 10^15n then which of the following options satisfies the condition
A. 30
B. 45
C. 60
D. 75

13. In the pack of plates, 1/3 of plates are damaged , 2/3 are cracked and 1/3 of them are damaged and cracked and 80 are not hampered then what is the number of total plates?

14. Given two triangles, one triangle inserted in another as above. The vertices of big triangle is ABC & smaller triangle i.e. the inner triangle is PQR such that AB//PQ and AC//PR. Given angle A is y degrees, angle R is z degrees & exterior angle of A is x degrees.
Col A: x
Col B: y+z

15. If the mean of 10, 20, x is equal to the median of 10, 20, x then what is the value of x?

16. If A1, A2, A3, A4 and A5 belongs to a series such that An= n{[(-1)^n] -1}, then what will be the difference of the largest and the smallest term?
A. 4
B. 6
C. 8
D. 10
E. 12

& Few previous database Questions.........

Read more...

GRE QUANT DATABASE AUGUST 25TH

1.

If AB = BC, CI = IH & DE = EF then
Col A: Area of Rectangle GDEF
Col B: Sum of areas of Rectangle ABCD & CIHE

2. What is the closest integer to sqrt(171)?

3. If an = n { (-1)^n – 1)}, and a1, a2, a3, a4, a5 are the terms then what is the difference between greatest & least term?

4. No. of Members Least weight Range
20 members 100 29
21members 130 35
When two groups are joined, what is the median weight of the group?

5. Col A: 0.9999/0.9998
Col B: 1.0002/1.0001

6. If (2x+7) < src="http://www.drrajusgre.com/aug_img18.JPG">
If AC = x, then find the perimeter of the figure?

Read more...

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