GRE® quant problems

[Sugeni]

I am having problem in these quant questions. I will appreciate if anyone can help me to solve these problems.

Thanks,
sugeni
If n^3/K^3=-1 then what is the value for (n^-1)+(k^-1)=??
A)-1
B)-2
C)0
D)1
E)2

If a number n is divided by 11 it gives remainder 5 then what is the remainder when 7n is divided by 5.

A parabola was drawn and a point on it was given as P(2,K)and it was cuting the Y axis at a point below 2 .ie. it was open upwards the distance was asked between th point P and the point where the parabola cuts th y axis
a:3
b:7
c:2sqroot(5)
d:2sqroot(7)
e:3sqroot(3)

(r,t)no.of integer which is less than 10 how many pairs should be form 7r+7t the value to be double
a)2
b)6
c)8
d)12
e)16

A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sud sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
a)14*8/5
b)15*14/18
c)18*4/15
d)4*15/18
e)7*4/15

There are 3 points P,Q,R in a plane. Point R is not on PQ.What amongst the options will be true if all 3 points are equi distant from each other.
a) a straight line
b) a unit circle
c) a triangle
d) none of the above

A thin carpet of length 30 ft was laid around a rectangular field of area 54 sqft. if the carpet was exactly sufficient find the length of the longer side

When 30 gallons water poured in to cylinder whose sides are perpendicular to base, water level rises 0.5 ft, if 7.5 gallons occupy 1cu.ft space what is the area of base of tank?

A wooden cube whose edge is 3 inch is painted red,cut into 27 pieces of 1 inch edge. Find total surface area of unpainted?

Remainder when 7^548 is divided by 9?

Trains 100 m and 150m in length long are going in same direction on parallel tracks.faster train speed is 60 kmph and slower
train speed 42 kmph.at what time faster train over take slower train.

The bottom of an underground rectangular tank has an area of 12 square feet and the depth of the tank is 10 feet. A liquid is pumped into the empty tank at the constant rate of 30 cubic feet per minute. After how many minutes will the depth of the liquid in the tank be 8 feet?
(A) 1.5
(B) 2.0
(C) 2.5
(D) 3.2
(E) 4.0

. Certain basketball team that has played of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3

There were 36.000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441.000 copies of the novel were sold in all, how many paperback copies were sold?

Roger sold a watch at a profit of 10%. If he had bought it at 10% less and sold it for $13 less he would have made a profit of 15%. What is the cost price of the watch?
$220
$300
$400
$480
$540