July-15- GRE - Quants - Question

July-15- GRE - Quants - Question
Quant:

1. Col A: (a-b)^3
Col B: (b-a)^3


2. If Z = 123^4 - 123^3 + 123^2 - 123, then what is the remainder when 'Z' is divided by 122.
A. 0
B. 1
C. 2
D. 3
E. 4


3. If the product of 1 to n inclusive is divisible by 990 then
Col A: n
Col B: 9


4. Given a bag which contains red and black marbles and red marbles are 5 times black marbles. If we pick 5 marbles randomly, without replacement, then
Col A: Probability of getting red marbles
col b: Probability of getting black marbles


5. What are the number of five digit numbers that can be made using 7, 6, 5, 4, 3, 2,1 without repetition of any digit in a number?


6. If ab = 3, bc = 2 and a, b, c lie on a same line. What is the value of ac = ?


7. Given N is a positive odd integer. If the number in the tens digit is double the digit at the units place then the value of N?
A. " n>90 "
B. " 30C. " N>50 "
D. " 30

8. If 40*75*160 = 3 * 4^m * 5^k
Col A: m
Col B: k


9. A number between 10 and 100, when divided by 4, 6 OR 7 leaves a remainder of 2.
Col A: Remainder when divided by 11
Col B: 9


10. Given a and b are integers and a-b is even. Which of the following is even?
Ans: a^2 + b(Given by exam taker)


11. Given that perimeter of area X > Perimeter of area Y
Col A: Area of X
ColB: Area of Y


12. Given 8 < 2x < 14 and 9 < x+4 < 16
Col A: x
Col B: 6


13. Given 4x-1 > 9
Col A: x
Col B: 3


14. Given that -3 <= x <= 6 and -10 <= y <= 9. What is the greatest possible value of -(x^2 )+y^4?
A. 10036
B. 10009
C. 10,000
D. 1000


15. Given a circle inscribed in square and the diagonal length of square is given as 16sqrt2. Find the radius of the circle?


16. If X^2 + 2x +10 = y then what is the value of x^2+2x+25 interms of y?


17. A bag contains 3 types of balls. Probability of selecting 2 types of balls is given and asked to find the probability of selecting 3rd type of ball when one attempt is made for selection?


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nilam



Joined: 16 Jun 2008
Posts: 10
Posted: Wed Jul 16, 2008 5:17 pm Post subject:

1. D
2. A
3. B
4. A
5.
6. 5
7. D
8. C
9.
10. a^2+b
11. A
12. D
13. D
14. C
15. 4sqrt 2
16. y + 15
17. ?

please anyone tell me if its wrong

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diabloroxx



Joined: 19 Jun 2008
Posts: 7
Posted: Thu Jul 17, 2008 7:37 am Post subject:

9.C
both are equal.the no. is 86.
15. 8
can u solve and tell me how it is 4sqrt(2) ?

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nilam



Joined: 16 Jun 2008
Posts: 10
Posted: Thu Jul 17, 2008 4:29 pm Post subject:

diagonal of square is 16......
so one side of squqre has calculated by Pythagorean formula...
a^2+b^2=c^2
2a^2=16^2
=256
a^2=128
so a= 8 sqrt 2
its diameter of circle so radius of circle is 4 sqrt 2

now u please explain me ans of question 9



hey the diagonal length is 16sqrt(2) as per the question ..not 16..if u solve it comes to 8.

9.C
list out the multiples of 7 till 100 and add 2 to all of them.
the list will be 16 23 30 37 51 58 65 72 79 86 93
now cancel out all those which are divisible by 4 and 6.
so list comes down to 23 37 51 58 65 79 86 93
now divide by 4 or 6 or 7 and check which one has remainder 2
it will come down to 86
just basic elimination....



diagonal is 16 sqrt(2)

side of square be A
SQRT(A^2+A^2 )= 16SQRT(2)
A*SQRT(2)=16 SQRT(2)
A=16
A=2*r
r=8 which is the radius of the given circle...

[quote="diabloroxx"]diagonal is 16 sqrt(2)

side of square be A
SQRT(A^2+A^2 )= 16SQRT(2)
A*SQRT(2)=16 SQRT(2)
A=16
A=2*r
r=8 which is the radius of the given circle...


ohhhhhhh ya you r right i think its 16
then ans. is 8



3)A ,i think . if n=11.
(1.2.3.....8.9.10.11)/990 is exactly divisible,since 990=9*10*11.