January - 4th - GRE Questions - Quant

January - 4th - GRE Questions - Quant

1. Col a: (1/9+1/10+1/11+1/12+1/13+1/14+1/15)
Col b: 7/12
ANS: col b

2. A pentagon with angles x, x, x, 2x-90, 80. What is x?
ANS: 110

3. 90n, find n such that 90n is a perfect cube root?
Ans: 300

4. 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
Ans: D

5. Col A Col B
root(5^2) 5*root(5)
Ans: col b is greater

6. Trains 100 m and 150m in length long are going in same direction on parallel tracks. Faster train speed is 60 km ph and slower train speed 42 km ph. At what time faster trains over take slower train?
Ans : 50 sec

7. Col A: 3^50/4^50
COL B: 6^25/8^25
Ans: col b is greater.

8. A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sub 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
Ans: C

9. 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
Ans: B (If and only if the no. of games are 20)

10. Col a:(2^8)*(15^5)+(2^8)*(15^5)
Col b:(5^10)*(8^2)
Ans: B


11. A gardener wishes to plant 5 bushes in a straight row.Each bush has flowers of a different solid color (white, yellow, pink red, and purple). How many
ways can the bushes are arranged so that the middle bush is the one with red flowers?
(A) 24
(B) 30
(C) 60
(D) 96
(E) 120
Ans: A

12. 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?
(A) 45.000
(B) 360.000
(C) 364.500
(D) 392.000
(E) 396.900
ANS: C

13. 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

14. Given X^-1=2/y^2+1
Col a: x
Col b: y^2/2
Ans:Col a is greater

15. n, k are two positive integers
Col.a: k^2+n
Col b: k^n/2

16. An examination paper contains 8 questions of which 4 have 3 possible answers,3 have 2 possible answers each and the remaining one question has 5 possible answers. The total number of possible answers to all the questions is :
A) 3240
B) 94
C) 78
D) 2880
E) 36
Ans: A

17. 90n, find n such that 90n is a perfect cube root.
Ans: n=300

18. Two cylindrical containers are there. One with internal radius 3 inches
other with internal radius 6 inches. The 3 inch cylinder is of 10 inch
Height of which up to 9 inches was filled with a liquid. What would be?
The depth of the liquid in the 2nd container if 1st container is
Emptied into the second container (previously empty).
Ans: 2.25

19. -1 < x< 0
column 1: mod(x-1/2)
column 2: mod (-x-1/2)
Ans: Column 1 is greater.

20. xy=36
column 1: (x+1)(y+1)
column 2: 49
Ans: D(cannot be determined)