January 31st - Gre Test Question- Quants

January 31st - Gre Test Question- Quants

1. xA. -3/2
B. 3/2
C.-1/2
D.1/2
Ans : -1/2


2. Given a triangle ABC, AD is altitude and D is point on BC. Which of the angles are greater than 90?
A. Angle A
B. Angle B
C. Angle C
D. none of these
Ans: none of these


3. Given that 5(2^2 - 2^n)>20
Col a: n
Col b: 4
Ans: D


4. A man invites 7 people to party of which 3 of them are close friends and 4 are miscellaneous, he presents 2 gift after the party , find the probability of getting 2 gifts to his close friends?



5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits. Find the sum of all 3's in 100th place?


6. There was series from 1 to n & n is odd... then randomly select a number. Find the probabilty that the number will be odd?


7. Given a fraction 2/7, what is the 57th digit after decimal?
Ans: 5


8. (x - 1/x)/(x +1) = 99. Find (x - 1/x)/(x-1) ?


9. X and Y are positive integers and X-2/10 = Y
Col A: Units digit of Y
Col B: Tens digit of X.


10. Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside
the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure


11. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1


12. Col A: (5-1/4) square+(5+1/4)square
Col B: 50
Ans: A


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


14. There is a code to be made of length of 5 in which it consists of 3 alphabets and 2 digits from 0 to 9. The alphabets 'a,e,i,o,u,y' are not allowed in the alphabets, so how many codes can be made.Repeatitions is allowed in both alphabets and numeric.
Sol: 20*20*20*10*10


15. If q*r^2 <450 and q and r are prime numbers greater than 3. What is the maximum possible value of r?
A. 5
B.11
C.17
D.13