25th November GRE Quants Question

Quant:


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


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


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


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


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


6.




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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


28.

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