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Quant 3rd OCT

1. Col A: (2^8)*(15^5)+(2^8)*(15^5)
Col B: (5^10)*(8^2)

2. A square was given and another square was formed by joining mid points of the square. If perimeter of larger square was given 'X'.
Col A: Perimeter of smaller square
Col B: X/2

3. Col A: (7!)^2
Col B: 13!

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

5. If product of xyz is odd integer, then which of the following is even
A. x(y+z)
B. xy+z
C. yz+x
& so on....

6. There is a series of odd numbers from 1 to n where n is a odd number. What is the probability that a number selected at random will be an odd number?

7. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.

1 comments:

Anonymous said...

1) A < B
Col A:(2^8)*(15^5)+(2^8)*(15^5)
=(2^9)*(15^5)
Col B:(5^15)*(8^2)
5^15 >> 15^5


2) A > B
peri of large sq=X
side of large=x/4
side of small=[(X/8)^2+(X/8)^2)]^(1/2) (by pytogorous therom)
Side of small=X/4(sqrt2)
perimeter=X/(sqrt2)


3) A < B
Col A:(7!)^2=5040^2
Col B:13!=1235520*7!


4) A>B
Col A:16!/(3!*(16-3)!)
=16!/(3!*13!)
=16*15*14/6=560
Col B:16!/(14!*(16-14)!)
=16!/(14!*2!)
=16*15/2=120


5) Ans:x(y+z)
Odd*Odd*Odd=Odd
x,y,z are ODD
Odd+Odd=Even
Odd*Even=Even
x(y+z) is Even


6) Ans:(n+1)/2n
total numbers=n
n is odd.So no.of odd num=(n+1)/2
prob=((n+1)/2)/n=(n+1)/2n


7) Cannot be determined
y=mx+c
y=-1/2x+c
x+2y=C
x/c+y/(C/2)=1
X-intercept=C
Y-intercept=C/2
Value depends on the value of C

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