3rd feburary GRE Quants Question

1. Given a fraction 20/7. What is the digit at 57th decimal place of the given fraction value?
Ans: 7


2. In a triangle the three angles were given as X, X & Y. If the average of two angles is 65, then what is the possible value of 'Y'?
A. 65
B. 75
C. 80
& so on.....
Ans: C


3. Given f(x) = x^2+x, then
Col A: f(x+1)
Col B: f(x) + f(1)
Ans: D


4. If the retail price is 35% more than wholesale price and if the retailer sells it with a profit of 21% with that of wholesale price, then what percentage of discount did he offer to the customer?
(Something like this)
Ans: 10.3%


5. If 3^16 is a factor of 63^n, then what could be the least value of n?
Ans: 8


6. If an article cost is 256$ in 1989 and is increased by 80% when compared to 1975, then what was its cost in 1975?
Ans: $142.2


7. If it takes 'a' hrs for 'x' to repair 1 machine and 'b' hrs for 'y' to repair 1 machine, then how many hours will it take to repair 750 machines, if they work together?
Ans: 750ab/a+b


8. If for a set of 15 elements, 'a' is mean and 'b' is median, a>b;
If for another set of 25 elements, 'c' is mean and 'd' is median, c>d;
then, the
Col A: Combined Mean of the sets
Col B: Combined Median of the sets
Ans: D


9. If the standard deviation of x, y & z is 'a' and the standard deviation of x+5, y+5 & z+5 is 'b', then
Col A: a
Col B: b
Ans: C


10. A regular hexagon ABCDEFG is inscribed in a circle. If BE is the diameter of the circle, then
Col A: Length of BE
Col B: Length of BCD
Ans: C