Gradutate Record Exam

1.

Find the length of the line segment PQR?

2.A man buys ‘W’kgs of dog food once in a week and ‘x’kgs of the food is given to each dog twice a day.
Col A: Number of dogs
Col B: W/7x

3.If (x - y) = odd value and K is an integer, which of the following is always odd?
A. x
B. y
C. k(x-y)
D. (x-y) ^2
E. (x-y+k)

4.If x < y < z, then
Col A: xy
Col B: yz

5.Given that the time taken by a train to travel a distance’d’ is ‘h’hrs and the next day the train travels the same distance but reaches 15 min early. What is the average speed on that day?

6.A price of a product ‘x’ is increased by p% to give new price ‘y’ and then price of ‘y’ is reduced by r% to give original price.
Col A: p
Col B: r

7.Given a sequence a1, a2........ an. If a1 = 25 & in the sequence if every number is '-2' times the preceding number, then Col A: a100 Col B: -10,000

1.What is the median of the series 10, 10, 8, 8, 8, 11, 11, 11?

2.

If the side length of the square is 5 & radius of the circle is 3, then what is the area of the shaded region?

3.If 0
Col A: x
Col B: y

5.If 0<4, then
Col A: x^3
Col B: x^2

6.If ‘A’ takes 6 days to complete a work and ‘B’ takes 8 days to complete the same work, then how days it takes if they work together?

7.In set of numbers 1, 2, 3, 4, 5 & 6, if two numbers are selected at random, then what is the probability of getting their sum ‘8’?

8.When ‘K’ is divided by 3, the remainder is ‘1’ and when ‘K+1’ is divided by 5, the remainder is ‘0’, then what is the possible value of ‘K’?
1.60
2.61
3.62
4.63
5.64

1. 10^5 * 10^4 / 10^3 =
1.10^10
2.10^7
3.10^6
4.10^3
& so on….

2. Given a series.
1, 1/(2t), 1/(2)^2*t, 1/(2)^2*(t)^2 .................
For t=2, if odd terms are 1/2 times the previous number and even terms are 1/(t) times the previous number, then
Col A: The eight term (8th) in the series
Col B: 1/(2)^8

3.

Col A: a+d
Col B: b+c

4. Given two points P(4,2) & Q(3,3).
Col A: Distance of point ‘P’ from origin
Col B: Distance of point ‘Q’ from origin

5.

In the figure above, it is a semicircle drawn on a square of side length 10m.And now, find the length of PR?

6. If (x-5)(2x+1) – (x-5)(x-7) = 0, then what is the least possible value of ‘x’?

7.Find the surface area of a cuboid of length 6ft, width 1/6ft and height 1/3ft?

8.In a contest, there are 5 judges who are to rate (they can rate from 0-10) the scores of 8 different groups.

1. If 0 < t < u < v, then
Col A: Mean of t, u, v
Col B: Median of t, u, v


2. Given the average of seven numbers as 35. When 'k' is added to it then the average of those 8 is 35. Find the value of k?


3. Given a series a1, a2, a3........... an. If an=(1/n)-(1/n+1), then find the value of S100?


4. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0


5. Given a Rectangular cylinder with volume 1800. If the height of rectangular cylinder is 6 times more than its radius then find the radius of the cylinder?


6. Given stock price at end of February as x. If stock price increase in March is 10% & increase in April is again 10% and if May price = 70% of April price, then
Col A: The May price
Col B: 0.9x

1.If ‘C’ apples cost ‘x’ cents, then how many apples could be bought for ‘d’ dollars?

2.

If the length of the side of the square is 21, then find the area of the shaded region?

3.

Find the length of the base?

4. If 0 < x < 1 and x^2*y^2 = 3, then
Col A: x+ y
Col B: 3

5. 4 – (1/129) / 2 – (1/89) =
1. 2/5
2. 4/5
3. 3/8
4. 7/3
& so on………

6. Given the present age of person ‘X’ is twice the age of person ‘Y’. If the ratio of their ages 5 years hence is 9:5, then what is the difference between their present ages?

7. If a number 'n' is divided by 24, the remainder is 21. Which of the following is the divisor of n?
A. 3
B. 4
C. 5
D.6
E. 7

1.If x > 0 and y > 0, then
Col A: sqrt(xy)
Col B: sqrt(x+y)

2.
gre quant question
Col A: Perimeter of the triangle AOB
Col B: some value(xxx)
(Something like this)

3.The value of 10^15 – 10^14 / 10^3 is ……………

4.
gre quantitative questions
If the circumference of the circle is 4π and if the area of the triangle is 2, then
Col A: Length of BD
Col B: some value(xx)
(Similar to this)

5.If the number of experienced people in an office is 7% , then
Col A: The total number of people in the office
Col B: 100

6.Col A: Area of the rectangle whose length is 4m and perimeter is 14m
Col B: Area of rectangle having length 5m and breadth 3m

7.If t^2+6t+9 = 0, then
Col A: t
Col B: -3

8.If the probability of A wins the race is 1/5 and ‘B’ wins the race is 1/8, then what is the probability the neither of them wins the race?

9.Given a series f1, f2, f3, f4................fn, such that every number is sum of its two previous numbers. If f5 = 18 and f8 = 76, then what is the value of f9?

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


2. If a cab-for-hire company costs $1.75 for the first quarter mile and fifteen cents for each additional quarter mile, then what is the maximum distance you can travel with $4.90?


3. If a person A takes 4hrs to complete a job and person B takes 6hrs to complete the same job, & if they work together then how much time will they require to complete the work?


4. Given a series 7, 8, 13, 13, 9, 14, 15, 15, 15, 19. If another number 15 is included in the series, then which will be most affected?
A. Mean
B. Median
C. Mode
D. None


5. If x,y > 0 and x - y = 1, then
Col A: x^2 - y^2
Col B: 0


6. If a number 'n' is divided by 24, the remainder is 21. Which of the following is the divisor of n?
A. 3
B. 5
C. 6
& so on....


7. Given a circle with centre 'O' and with two tangents at points 'B' and 'C' which intersect each other at point 'A'. If the angle BAC is given as 55degrees, then
Col A: The value of angle BOC
Col B: xxx(some angle)

1. Given area of a circle as 72sq.m. If sector angle of the circle is 135degree, then what percentage of area of circle is covered by
sector area?


2. Given 10 < 2x < 16 and 10 < x+4 < 15
Col A: x
Col B: 7


3. Given a triangle ABC. A point 'D' divides the side AB such that a traingle ADC is formed and AD/DB=1/3. If the area of the triangle ABC is 'r', then find the area of the triangle ADC in terms of 'r'?


4. Given a cylinder C1 having volume 'V'. If another cylinder C2 is given, that had both radius and height twice that of cylinder C1, then what is the volume of second cylinder in terms of 'V'?


5. If 0 < x < y < z, then
Col A: Mean of x, y, z
Col B: Median of x, y, z


6. If P1, P2 pipes together can fill a tank in 8 hrs and P3 pipe can fill in 12 hrs, then how much time will P1, P2 & P3 together takes to fill the tank?

1. Given two concentric circles, one inscribed in another. If the radius of the inner circle is 'x' & the radius of the outer circle is '(x+y)', then what is the probability that the point taken lie in the inner circle?
A. pi*x^2/(x+y)
B. x^2/(x+y)^2
C. x^2/(x^2+y^2)
D. x/(x+y)
& so on....


2. Given price of a article as 'p' and is increased by r% to give a new price 'q' and then price of 'q' is reduced by s% to give original price.
Col A: r
Col B: s


3. If a, b and x are positive integers & if a/b>1, then
Col A: a+x/b+x
Col B: a/b


4. If the range of 6 consecutive positive numbers is 6.8 and of 7 consecutive numbers is 13.2. If none of these numbers in the two groups are same, then find the range of the 13 numbers?


5. If -6 <= x <= 4 & -10 <= y <= 4, then what is the greatest possible value of -x^2+ y^4?


6. 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?


7. Given a triangle with sides x, y & z. If z = 1/4(perimeter of triangle) and x + y = 12, then find the value of z?

1. If 10^n = 0.0004, then what is the value of n?


2. If the price of an article is 256$ in 1989 and is increased by 80% when compared to 1975, then what was its price in 1975?


3. Col A: Standard Deviation of m1, m2, m3, m4 & m5
Col B: Standard Deviation of m1+5, m2+5, m3+5, m4+5 & m5+5


4. If the remainder when 10^32 is divided by 11 is 'R', then
Col A: R+2
Col B: 3


5. If 3x - 3y = 1; x and y are positive numbers, then
Col A: x/y
Col B: 1


6. If the area of the semi-circle is 2pi, then what is perimeter of the semi circle?
A. 2pi
B. 8pi
C. 16pi
D. 2pi+ 4
E. 4pi+sqrt4


7. Which of the folowing has the highest slope
A. y-1/4x=5
B. y-1/2x=2
C. y+2x=-3
D. y+7x=-6
& so on.....


8. Given that 60% of the sophomores took up liberal arts, 24% took sciences and rest took both or neither. If 55% of all sophomores took psychology, then what percentage of arts students took psychology?


9. If 2/x = y/2, then
Col A: X
Col B: Y

1. Form a given set of numbers 2, 3, 4, 5, 6, 7, 8 & 9, find the number of ways of forming a four-digited number(without repetition)?


2. If x>y, then
Col A: |x+y|
Col B: |x-y|


3. If (x-2)^(x-4) = 1, then
Col A: x
Col B: 4


4. The value of 5000+srqt(6.9 * 7002.1) is ......


5. Given two groups G and M, G Group has 25000 people and M group has 30000 people. A total of 50000 people group is formed by using these two groups. If one person is selected from G group then what is the probability that he is also from M group?


6. A person 'B' types 2 papers in 3 seconds and a person 'C' types 1 paper in 1/2 sec. If they start working independently at same time. How many minutes will they take to type 8000 papers?


7. Given two points of a line as (3, k) & (5, m). If the slope of the line is 4, then what is the relation between k & m?
(Similar to this)


8. If the mean of 30 numbers is 1.68 and the mean of first 20 numbers is xx(some value), then what is the mean of rest 10 numbers?
(something like this)


9. Given lateral surface area of a cuboid and asked to find the volume of it?

1. Given 'p' and 'q' are two points which are on the same side of 0 on the number line.
Col A: p+q
Col B: 0


2. When a number '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 then what is the value of 'w'?


3. If an article cost is 256$ in 1989 and is increased by 80% when compared to 1975, then what was its cost in 1975?


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


5. Col A:The remainder when 10^32+2 is divided by 11
Col B: xx(some value)


6. Given a triangle ABC and a point 'D' divides the side AB such that a triangle ADC is formed & AD/DB=1/3. If the area of the triangle ABC is r, then find the area of the triangle ADC in terms of r?

1. If a > 1, then
Col A: a^2-1
Col B: a+1


2. Col A: Standard Deviation of 23, 24, 25, 26, 26, 26
Col B: Standard Deviation of 25, 26, 27, 28, 29, 30


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


4. Given A= {Set of odd integers less than 100}
B= {Set of positive even integers less than 5}
C= {Set which include product of both sets A and B}
Col A: number of integers in set C
Col B: 100


5. If x < 0 then the value of (-x)(-x)/(-x) is
A. lxl
B. x
C. x^2
D. 0
E. -lxl

6. 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


7. Given a right angle triangle ABC whose adjacent sides are 'a', 'b' and hypotenuse 'c', then
Col A: a + c
Col B: 2b

1. Col A: Standard Deviation of P1, P2, P3, P4 & P5
Col B: Standard Deviation of P1+5, P2+5, P3+5, P4+5 & P5+5


2. (-1)^18 * (168)^(-1) =
A. 1/168
B. 0
C. 168
D. -168
E. -1/168

3. If x20, 000. What would be the value of the given form?

A. 1/5
B. 2/5
C. 5/2
D. 3/5
& so on....


7.

What is the value of x & y in terms of ‘k’?

1. If the retail price is 35% more than wholesale price and if the retailer sells it with a profit of 21% with that of wholesale price, then what percentage of discount did he offer to the customer?


2. If x > 1 and 0 < y < 1, then
Col A: x^4 * y^ 4 / x^2
Col B: x^2 * y^4


3. If x < 0, then
Col A: -x
Col B: |x|


4. Given 60% of the students passed in X subject, 50% of the students passed in 'Y' subject and 20% of the students passed in neither of the subjects. If 18 students passed in both the subjects, then how many students passed in neither of the subjects?


5. If a number 'n' is divided by 11, it gives remainder 5. What is the remainder when 7n is divided by 5?

1. Given two concentric circles, such that a tangent to the smaller circle cuts the larger one at two points 'R' and 'S'. If the radius of smaller circle is 2 and larger circle is 5, then what is the length of segment 'RS'?


2. If x < 0, then
Col A: 2x^3+3x^2+5
Col B: 3x^2+5


3. Given the two sides of a triangle as 6 and 5 that are opposite to 'x' and 'y' angles. If the length of the third side is given as 8, then
Col A: x+y
Col B: 90


4. If the remainder when 10^32 is divided by 11 is 'R', then
Col A: R+2
Col B: 3


5. Given A's speed is 50 km/h and B's speed is 55 km/h. If 'A' covers distance in 5 hours, then how much time 'B' takes to cover the same distance?


6. In a shop, if the discount provided is 40% on one jacket and 20% on one shirt, then
Col A: What is the percentage reduction in discount on two jackets and one shirt
Col B: 35%


7. If R = Set of prime numbers from 1 to 50,
S = Set of multiples of 15 from 10 to 50,
T = Set of odd numbers from 1 to 50, then
how numbers will be common in all the three sets?


8. Given numbers 1, 2, 3, 4 & 5. What is the probabilty of choosing two odd numbers at random from the given numbers such that the sum of the two numbers must be an even number?


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

1. Given 8 + y = 2^n, where 'n' is a positive number. Which of the following will be correct value for Y?
A. -6
B. -4
& so on....

2. If 3x - 3y = 1; x and y are positive numbers, then
Col A: x/y
Col B:1

3. If (x+3)(x-3) = 4x+1, then what is the value of x?

4. If the area of the semi-circle is 2pi, then what is perimeter of the semi circle?

5. Given a right angle triangle ABC whose adjacent sides are 'a', 'b' and hypotenuse 'c', then
Col A: a + c
Col B: 2b

6. Given that 'A' completes a piece of work in 12 days and 'B' in 'x' days. When worked together, if they complete in 9 days, then what is the value of 'x'?

7. If a1 = 2, a2 = 3 ................ an = a(n-1) - a(n-2), then what is the value of a150?
(Here 1, 2, 150, n, n-1 & n-2 are suffixes)

8. If 1/x - 1/y = 1/xy, then
Col A: x
Col B: y

9. If 0 < x < 1 & 0 < y < 1, then
Col A: x / x^(-1)
Col B: y^(-1) / y

10. If the average of x1, x2, x3, x4 is 'S' and the average of y1, y2 is 't', then the combined average of x1, x2, x3, x4, y1 & y2 is
A. s + t/2
B. s + t
C. s + t/8
& so on.....

11. The value of 5000 + sqrt {(0.68) + (700.2)} is.................

12.

Col A: x
Col B: 60`

1. Given a polygon with 9 equal sides & all angles are equal. If one side is extended, find the angle between the extension & the other side?
2. A set of 15 numbers has mean 'a' & median 'b' and another set of 25 numbers has mean 'c' & median 'd'. If the combined mean of two sets is 'e', then
A. a > b
B. c > d
C. e > f
& so on....
3. Given a square of area 36. If a quadrilateral is formed by connecting mid points of two adjacent sides with a vertex, then
Col A: Perimeter of Quadrilateral formed
Col B: xx(some value is given)
4. Given a quadrilateral with sides 9, 9, 8 &1.
Col A: Angle between the sides 9 and 9
Col B: 60
5.Given a Table.Measure Frequency1 132 13 144 95 25
Col A: Median of the data
Col B: 4
6. If two sides of the triangle are 6 & 8, then
Col A: Third side of the triangle
Col B: 10
7. Given that heights of 60 men, 60 women both have normal distributions and if the Standard Deviation of them is 10 each, then
Col A: Standard Deviation of a random sample of 30 men, 30 women
Col B: 9& few previous database questions.

1. Col A: 2 * {1/(sqrt(2) + 1)/ sqrt(2)}
Col B: 2 + sqrt(2)

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

3. If T = 2, 3, 5, 6, 7, 8, 9, then
Col A: Mean of T
Col B: Median of T

4.

Given a figure of quadrilateral like above
Col A: x
Col B: 60`

5. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?

6. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes, then
Col A : The average time for loading the 'x' boxes of all cartons
Col B: cx /(h+t/60)

7. From a set of positive numbers 1 to 100, two numbers x & y are to be selected at random.
Col A: Probability that the two numbers x & y are even
Col B: Probability that the sum of two numbers selected is even

1. For (-x) (-x) / (-x) , x < 0 the value of x is
A. lxl
B. -lxl
& 3 more options


2. On wholesale, if a shopkeeper had a 30% increase followed by 20% decrease, then how much was his total increase/ decrease?

3. Given a circle with triangle ABC inscribed in it. If AB = diameter & CB = 5, then find the area of triangle?

4. The Value of 0.00865 = ?
A. 8.6 X 10^-1
B. 8.6 X 10^-2
& 3 more options were given

5. If 'n' is a positive integer, then
Col A: (2r)^n
Col B: (2r)^3n

6. If the probability of raining on 1st day is 0.8 and the probability of raining on 2nd day is 0.6, then what is the probability of not raining on any of these days?
(Something like this)

7. The area of the triangle formed by x-axis, y-axis and the line x+y = 4 is ?

8. Given 'A' has 'x' toys inserted in 'y' boxes and 'B' has 'y' toys inserted in 'x' boxes.
Col A: Number of toys 'A' has - Number of toys 'B' has
Col B: 0

9. If (x + y) = 8 and 2*(y^2) = 32, then
Col A: x
Col B: 4

10. The largest prime number by which 64^2-57^2 is divisible?
A. 7
B. 11
C. 13
& so on....

11. If ln+2l = n+6, then find the possible value of n?

12. If a # b = 3a + 2b, then
Col A: (0 # 1) # 2
Col B: 0 # (1 # 2)

13. Set A: {15, 16, 17, 18, 19, 20, 21}
Set B: {10, 11, 12, 13, 14}
If each number of set A is added to a number of set B, then (after the addition) how many numbers are uniquely formed?

14. Given a big square, in which 16 small squares were inscribed. The small ones which had only 1 side covered with perimeter of big square was shaded. If n is the number of such small shaded squares in a big square(n>4), then find the actual number of small squares within a big square?
A. 4(n-4)
B. 4(n-2)
C. 2(n-4)
D. 2(n-2)
& so on......
(something like this)