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Note: Students are strongly advised to be aware of the fact that these questions have been framed tentatively and haphazardly. Therefore, it is suggested to use your discretion in the genuity of the questions that appear here. Hence, it is not advised to circulate these questions among fellow students taking these questions at prima facie.

ORKUT QUANT DATABASE (Till Nov 20th)

PS: If you find any mistakes please report here.


1.

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

2. Which of the following is less than 3% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
(Question is similar to this)

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. If 5 + 2x > 1, then
Col A: x
Col B: -1.999

5. A certain game has multiple rounds, in each round a participant receives either 2 points or 4 points, the average points received by one particular participant for all the rounds is 2.2
Col A: 9 times the number of rounds in which the participant got 4 points
Col B: The number of rounds in which the participant got 2 points

6. Given X1, X2 & X3 can do a job together in 4 hrs. If X1, X2 can do the same job in 6hrs, then how long would it take for X3 to do the job alone?

7. Col A: Standard deviation of 50, 60, 70, 80 & 90
Col B: Standard deviation of 50, 55, 70, 85 & 90.

8. 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

9. If 'N' is a two-digit number with 'x' in tens place and 'y' in units place, then when this number is multiplied by 5 what will be the result?
A. 5xy
B. 5x+5y
C. 50x+50y
D. 50x+ 5y

10. Two frequency distribution tables are given.
Table I:

Value Frequency
-1 3
-2 3
-3 3
0 7
1 3
2 3
3 3

Table II:

Value Frequency
-1 5
-2 3
-3 2
0 6
1 1
2 3
3 5

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

11. 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

12. 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.

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

14. 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=4, then find the area of rectangle EFGH?

15. A circle has centre (0, 2) and a point P (2,-1) lies on its circumference. What is the diameter of the circle?

ORKUT QUANT DATABASE (Till Nov 19th)


1. Given a = (m+p)^2 & b = (m-p)^2. If 3^a/3^b = 3^4, then
Col A: mp
Col B: 1

2. Six amounts are given say 358$, 600$, 478$, 786$, 900$ & 983$. These amounts represent the profit made by 6 people. Out of these 6 values, there is error in 2 of them, one has been increased by 120$ and one has been decreased by 120$ by mistake.
Col A: Standard Deviation of the data given
Col B: Standard Deviation of the actual values (without error)

3. Given sides of a triangle, where all angles are less than 90. If one arm is 3 & other is 4, then find the range of third side?

4. If 'N' is a two-digit number with 'x' in tens place and 'y' in units place, then when this number is multiplied by 5 what will be the result?
A. 5xy
B. 5x+5y
C. 50x+50y
D. 50x+ 5y

5. Two frequency distribution tables are given.
Table I:

Value Frequency
-1 3
-2 3
-3 3
0 7
1 3
2 3
3 3

Table II:

Value Frequency
-1 5
-2 3
-3 2
0 6
1 1
2 3
3 5

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

6. 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

7. If x^2 – 36 = 0 & x(x+6)(x+8) = 0, then
Col A: x
Col B: 0

8. 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

9. Last year, few girls and boys participated in drama. This year the number of girls and boys increased by x(x>0). If the number of boys is greater than number of girls, then
Col A: Percentage increase in boys from last year to this year
Col B: Percentage increase in girls from last year to this year

10. A circle has centre (0, 2) and a point P (2,-1) lies on its circumference. What is the radius of the circle?
(Question is similar to this)

11. If 'k' is a positive integer, 2^k - 1 cannot have which of the following as the unit's digit?
A. 1
B. 2
C. 3
D. 9
& so on….

12. Five numbers were given in fractional form, asked to find the least amongst them?

13.

‘X’ represents the value by which the height decreases and ‘Y’ represents the value by which the base increases.
Col A: X
Col B: Y

14. A series is given -8, -3, 5, 8, 3, -5...
Col A: The number that would first repeat 3rd time is
Col B: 3
(Something similar to this)

15. If ‘n’ and ‘m’ are positive odd integers, then
Col A: n(m-1) when divided by 2
Col B: 1

16. If x^2 – 49 = 0, then
Col A: x-7
Col B: x+7

17. A compass length, breadth & height were given (in inches) and weight of the compass was given as 17 kg and was asked to find density in kg per cubic feet?
(Density = wt/volume and 1 feet = 12 inches was given)

18. Given a point (2, -1) as the center of the circle and (0, -2) is a point on the circle, find the diameter of the circle?

19. In certain event probability of selecting female is 3/5.
Col A: Ratio of female to male
Col B: 3/2


ORKUT QUANT DATABASE (Till Nov 18th)


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 codes can 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?

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


ORKUT QUANT DATABASE (Till Nov 17th)


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

ORKUT QUANT DATABASE (Till Nov 14th)

Quant: 1.

Given that triangle ABC and AED are equilateral triangles, if AB = 8 & AD =6, then find the area of the shaded region BCDE?

2. 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.
(Question is similar to this)

3.

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

4. For n > 0, which of the following options cannot be unit digit of the value 2^n – 1?
A. 1
B. 2
C. 3
D. 9
& so on….

5.

Find the perimeter of the arc AOB?
6. If 3x + y = 12 & x +y/3 = 4, then
Col A: x
Col B: y

7.

Given a figure as above with a point ‘Q’ outside the circle
Col A: OP
Col B: OQ

8. 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.

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

10. 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.

11. If x^2 – 36 = 0 & x(x+6)(x+8) = 0, then
Col A: x
Col B: 0

12. How many numbers between 400 and 700 are multiples of both 2 & 3?

13. A rectangular solid with length 40m, height 2m & width 10m is given. Find the volume of the rectangular solid in cubic centimeter??

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

15. 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

16. If Raymond earns 'd' dollars/hr & works for 'h' hrs and Andrew earns half as that of Raymond, working at the same rate, then find Andrew's earning after 'h+50'hrs in terms of h and d terms?

17. 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

18. Last year, few girls and boys participated in drama. This year the number of girls and boys increased by x(x>0). If the number of boys is greater than number of girls, then
Col A: Percentage increase in boys from last year to this year
Col B: Percentage increase in girls from last year to this year

19. If the length of a rectangle is increased by 10% and its width is decreased by 10%, then what is the new area of the rectangle?
A. Increased by 10%
B. Increased by 1%
C. Remains same
D. Decreased by 1%
E. Decreased by 10%

20. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

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

22. If -1 < x < 0, then which of the following is greater?
A. x
B. x^3
C. 1-x^3
& so on.....

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

24. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…

25. A circle has centre (0, 2) and a point P (2,-1) lies on its circumference. What is the radius of the circle?

ORKUT QUANT DATABASE (Till Nov 13th)


1. If x, y & z are exterior angles of a triangle, then
Col A: x+y
Col B: 180-z

2. Col A: (4)^-3
Col B: (1/2)^6

3. 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

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

5. If x^2 - y^2 = 7, then
Col A: x+y
Col B: x-y

6. Col A: Standard Deviation of S, I, J, K & L.
Col B: Standard Deviation of S+6, I+6, J+6, K+6 & l+6.

7. If the length of a rectangle is increased by 10% and its width is decreased by 10%, then what is the new area of the rectangle?
A. Increased by 10%
B. Increased by 1%
C. Remains same
D. Decreased by 1%
E. Decreased by 10%

8. The value of 3sqrt(150) is..........

9. Col A: (0.01)^10
Col B: (1/10)^-20

10.

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

11. A circle with arc length and sector area is given and was asked to find the radius?

12.

Given a figure as above with AE = 2; AB = 6 and if the triangles ABC & ADE are equilateral, then find the area of the shaded region?

13. Given a figure as a circle with a tangent from a point ‘R’ to a point ‘P’(on circle) whose centre is ‘O’, then
Col A: Distance of point ’O’ from ‘R’
Col B: Distance of point ‘P’ from ‘R’.
(Question is something similar to this)

14. 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’?

15.

Given a figure like above, with one side of the triangle length AB given as ‘6’ and the area of the triangle is given as 12. Find the length of the side BC?

ORKUT QUANT DATABASE (Till Nov 12th)


1. A Rectangular floor is made up of 'M' rows and 'M+4' columns fully made up of square tiles.
Col A : The difference between the number of tiles in the 21st row and 26th column
Col B: M^2+2M+2

2. 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

3. Given n = x^(2x), where 'x' is a negative number.
Col A : n
Col B: 0

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

5. 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

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

7. If 5 + 2x > 1, then
Col A: x
Col B: -1.999

8. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

9. Given a right angle triangle ABC where AC is the hypotenuse. Two points are marked on the line AB as 'E' and 'M', such AE = EM = MB & similarly on AC two points 'F' and 'N' are marked, such that AF = FN = NC. If the area of triangle AEF is 12, then find the area of the triangle ABC?
(Given question is similar to this)

10. 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....

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. 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

13. If the sum of 5Y2 and 257 is 8N9, then what is the least possible values of N and Y
Col A: Y+N
Col B: 9
(something similar to this)

14. A girl has several pigeons and she uses 'W'kg grains to feed them for a week. If a single pigeon consumes 'K'kg per day, then
Col A: The total Number of pigeons
Col B: 7W/F

15. Col A: (2^x)(4^x)
Col B: (2^3x)

16. Given a pentagon having perimeter 30 and asked to find the area of the pentagon?

17. Col A: 2^-3
Col B: 3^-2


ORKUT QUANT DATABASE (Till Nov 11th)


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

2.

Given a polygon(an equilateral triangle above a square) as above with 5 sides, if the perimeter of this polygon is 30, then find the area of the polygon?
(@all: this is the appropriate question)

3. There are more than 100 boys in a class, and the 100 have been graded of which 22 are awarded ‘A’ grade. If 25% of total students can be awarded ‘A’ grade, then find the number of ungraded students if all ungraded were awarded ‘A’ grade?

4. Given the median of two classes are as follows.
Median of a class of 45 students = 53
Median of a class of 34 students = 40
Find the median if both classes are combined?

5. 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

6. If Raymond earns 'd' dollars/hr & works for 'h' hrs and Andrew earns half as that of Raymond, working at the same rate, then find Andrew's earning after 'h+50'hrs in terms of h and d terms?

7. If 40 < x < 49 and x^2 has 6 as unit digit, then
Col A: Value of 'x'
Col B: 45

8. 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

9. Given a circle with a marked arc with radius given and asked to compare the area of arc with some value.

10. If 'n' is a positive & odd integer, then
Col A: number of odd numbers below 'n'
Col B: (n-1)/2

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

12. Given an equilateral triangle PQR and a line is drawn dividing two of its sides as 2, 6 at 'S' and 'T' and then asked to find the area of shaded region {given that both PQR and PST are equilateral triangle}.
(Question is similar to this)

13. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…

14. If -1 < x < 0, then which of the following is greater?
A. x
B. x^3
C. 1-x^3
& so on.....

15. Col A: Interior angle of a polygon of 5 sides
Col B: Interior angle of a polygon of 6 sides

16. Given two spheres, one sphere 'X' of radius 'x' and other sphere 'Y' of radius 9x.
Col A: Volume of sphere 'X'
Col B: Volume of sphere 'Y'

17. 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)

ORKUT QUANT DATABASE (Till Nov 10th)


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

2. 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

3. Find the probability of getting an even number, when chosen between 1 to 10 numbers inclusive is?

4. If -1 < x < 0, then which of the following is greatest?
A. x
B.2x
C. x^3
D. 1/x
E. 1/(x^2)

5. If there is a series in which the first number A1 is 4 and An+1 = (An - 3)^2, then what is the 25th number ?
(Here 1, n, n+1 are suffixes)

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

7. If 5 + 2x > 1, then
Col A: x
Col B: -1.999

8. If n is a positive integer, then

Col A: Remainder when n^2 - n is divided by 2

Col B: 0

9. If a hexagon is inscribed in a circle and all the sides are equal and angles are equal of the hexagon, then what is the perimeter of the hexagon in terms of the circle's diameter 'd'?

10. A certain game has multiple rounds, in each round a participant receives either 2 points or 4 points, the average points received by one particular participant for all the rounds is 2.2
Col A : 9 times the number of rounds in which the participant got 4 points
Col B: the number of rounds in which the participant got 2 points

11. Two lists were given:
A: 12, 10, 30, 35 & 40
B: 30, 50, 20, 10 & 60

Col A: Standard Deviation of A
Col B: Standard Deviation of B

12.

Given a polygon(an equilateral triangle above a square) as above with 5 sides, if the perimeter of this polygon is 30, then find the area of the polygon?

13. Given one triangle whose arms are 3 and 5. If its angles are less than 90, then find the range of other arm?

14. Find the greatest of all?
A. 2/7
B. 71/280
C. 21/72
& so on....

15. Col A: Standard deviation of 50, 60, 70, 80 & 90
Col B: Standard deviation of 50, 55, 70, 85 & 90.

16. Given a rectangle whose length ‘l’ and breath ‘b’ is made, such that its length is increased by 15% and its breadth is been decreased by 15 %.
Col A: Area of original rectangle
Col B: Area of rectangle after change in dimensions

17. 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....

18. Given X1, X2, X3 can do a job together in 4 hrs. If X1, X2 can do the same job in 6hrs, then how long would it take for X3 to do the job alone?

19. If in a team of 100, 70 liked cricket, 80 liked football and 5 liked neither, then how many people did like cricket but not football?

ORKUT QUANT DATABASE (Till Nov 7th)


1. Given a series -3, -2, -1, 1, 2, 3........... Find the 69th term of the series?

2. If ca = p + q = a & ac > 0, then
Col A: p
Col B: q

3. A group of 1 professor and 3 students have to be made from 4 professor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40

4. Given 'N' is a two digit number with ‘x’ in its unit place, then
Col A: The units digit N^3
Col B: The units digit of x^3

5. If -1 < x < 0, then
Col A: x^7
Col B: x^5

6. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

7. 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)

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

9. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…


ORKUT QUANT DATABASE (Till Nov 6th)


1.

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=4, then find the area of rectangle EFGH?

2. Find the number of integers that are not divisible by 7 between 67 and 177?

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

4. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

5. The given question had a figure of equilateral triangle with a circle inscribed in it and the length of one side is given as ‘6’.
Col A: Area of circular region
Col B: 9 pi

6. 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....

7. If -1 < x < 0, then which of the following will have greater value?
A. x
B. x^3
C. x^3-1
D. x-1

8. If a number is divisible by 5, the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?

ORKUT QUANT DATABASE (Till Nov 5th)


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

ORKUT QUANT DATABASE (Till Nov 3rd)


1. Given three coordinates (0, 0), (2, 4) and (4, 2) and asked to find the area?

2. Given numbers from 1 to 10. Two numbers are 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....

3. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on...

4. If 'k' is an integer, then
Col A: The remainder when k^2-k is divided by 2
Col B: 0

5. Given a series 1, -1, 2, -2.........
Col A: The sum of the first 67 terms
Col B: 34

   
     
 
 

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