Math Help - Which topics are the following questions from?

1. Which topics are the following questions from?

Which topics(in mathematics) are the following questions from?
Ok...we have this entrance exam which asked the following questions previous year. I don't even know which topics do these belong to.
Please tell me the following questions come under which category.
3. The value of (E – 1) is (where E is shift operator)
a) E –1 Δ b) E –1 ▽ c) E –1 δ d) None of these

29. In LPP ΔJ for all basic variables is equal to :
a) 1 b) –1 c) 0 d) None

37. If f (x) = 1/(x^2)
, then the value of divided difference f (a, b) is :

The value of Δ^10( 1-ax)(1-bx^2 )(1-cx^3 )(1-dx^4 )
is :

48. If U0 = 580, U1 = 556, U2 = 520 and U4 = 385, then the value of U3 is :
a) 400 b) 413 c) 465 d) 460

65. If U0 = 3, U1 = 12, U2 = 81, U3 = 200, U4 = 100 and U5 = 8, then the value of D 5U0
is:
a)700 b) 755 c) 756 d) None

68. The value of Δ^2O^5 is :
a) 20 b) 10 c) 30 d) 5

Thanks.

PS:- Since I didn't know the topics these questions belonged to, I posted it here. Sorry if its the wrong place.

2. Originally Posted by Nikhar
Which topics(in mathematics) are the following questions from?
Ok...we have this entrance exam which asked the following questions previous year. I don't even know which topics do these belong to.
Please tell me the following questions come under which category.
3. The value of (E – 1) is (where E is shift operator)
a) E –1 Δ b) E –1 ▽ c) E –1 δ d) None of these

29. In LPP ΔJ for all basic variables is equal to :
a) 1 b) –1 c) 0 d) None

37. If f (x) = 1/(x^2)
, then the value of divided difference f (a, b) is :

The value of Δ^10( 1-ax)(1-bx^2 )(1-cx^3 )(1-dx^4 )
is :

48. If U0 = 580, U1 = 556, U2 = 520 and U4 = 385, then the value of U3 is :
a) 400 b) 413 c) 465 d) 460

65. If U0 = 3, U1 = 12, U2 = 81, U3 = 200, U4 = 100 and U5 = 8, then the value of D 5U0
is:
a)700 b) 755 c) 756 d) None

68. The value of Δ^2O^5 is :
a) 20 b) 10 c) 30 d) 5

Thanks.

PS:- Since I didn't know the topics these questions belonged to, I posted it here. Sorry if its the wrong place.
I suggest you ask whoever set the entrance exam that these questions were on.

3. Originally Posted by mr fantastic
I suggest you ask whoever set the entrance exam that these questions were on.
Believe me, I would have if I could have. I even googled the stuff for about an hour and a half but to no avail.

4. Originally Posted by Nikhar
Which topics(in mathematics) are the following questions from?
Ok...we have this entrance exam which asked the following questions previous year. I don't even know which topics do these belong to.
Please tell me the following questions come under which category.
3. The value of (E – 1) is (where E is shift operator)
a) E –1 Δ b) E –1 ▽ c) E –1 δ d) None of these

29. In LPP ΔJ for all basic variables is equal to :
a) 1 b) –1 c) 0 d) None

37. If f (x) = 1/(x^2)
, then the value of divided difference f (a, b) is :

The value of Δ^10( 1-ax)(1-bx^2 )(1-cx^3 )(1-dx^4 )
is :

48. If U0 = 580, U1 = 556, U2 = 520 and U4 = 385, then the value of U3 is :
a) 400 b) 413 c) 465 d) 460

65. If U0 = 3, U1 = 12, U2 = 81, U3 = 200, U4 = 100 and U5 = 8, then the value of D 5U0
is:
a)700 b) 755 c) 756 d) None

68. The value of Δ^2O^5 is :
a) 20 b) 10 c) 30 d) 5

Thanks.

PS:- Since I didn't know the topics these questions belonged to, I posted it here. Sorry if its the wrong place.
Looks like discrete or numerical analysis to me but without more context it is difficult to be precise.

LPP :- Linear Programming Problem

$\Delta$ :- forward difference operator

$\nabla$ :- backward difference operator

$\delta$ :- central difference operator

$D$ :- divided difference operator? (discrete analogue of derivative)

5. Originally Posted by CaptainBlack
Looks like discrete or numerical analysis to me but without more context it is difficult to be precise.

LPP :- Linear programming Problem

$\Delta$ :- forward difference operator

$\nabla$ :- backward difference operator

$\delta$ :- central difference operator
Thanks a lot.

And about more context, well, I've posted the question as it was in the question paper.

But still, thanks a ton.