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GRE exam Free Mock test. We covered all the GRE exam Free Mock test in this post for free so that you can practice well for the exam.
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GRE exam FREE Mock for Students
The probability that Vishal Sidana will miss at least one out of ten assigned tasks is 0.55. What is the probability that he completes all ten tasks?
a) 10%
b) 0.045
c) 0.55
d) 3/4
e) 66%
Option b – 0.045
Leena has a standard deck of 52 cards, of which 13 are hearts. After shuffling, she deals 10 cards. What is the probability that the 10th card dealt is a heart?
a) 1/4
b) 1/5
c) 5/26
d) 12/42
e) 13/42
Option a – 1/4
In DAV College, 40% of students have brown hair and 70% have blue eyes. Find the difference between the minimum and maximum probability of selecting a student who has neither brown hair nor blue eyes.
a) 0.2
b) 0.3
c) 0.4
d) 0.6
e) 0.7
Option b – 0.3
A bowl contains green, yellow, and red balls in the ratio 4 : 3 : 2. What is the probability of randomly picking a red ball?
a) 2/9
b) 4/9
c) 5/9
d) 1
e) 8/9
Option a – 2/9
After purchasing five eggs from Roshan Lal’s shop, you find that two are rotten. What is the probability that both eggs chosen from the batch are rotten?
a) 1/2
b) 1/0
c) 3/4
d) 2/5
e) 1/8
Option b – 1/0
A group of 16 engineers has a certain male-to-female ratio. If one engineer is randomly chosen, what is the probability that the selected engineer is male?
a) 3/16
b) 1/4
c) 1/2
d) 3/4
e) 9/32
Option b – 1/4
Books worth INR 500 are awarded to anyone solving an exercise independently. Meenu Mehta has a 70% chance of winning, and Avinash has a 60% chance. What is the probability that both win?
a) 0.13
b) 0.1
c) 42%
d) 0.26
e) 1.2
Option c – 42%
A small test aircraft has three engines, one serving as a backup. The plane will stay in the air if at least two engines work. Engine one fails with probability 1/3, engine two works with probability 75%, and engine three works with probability 50%. What is the probability the plane will not crash?
a) 5/12
b) 3/4
c) 1/2
d) 17/24
e) 7/24
Option d – 17/24
SET S contains all prime numbers between 0 and 20. If three distinct numbers are randomly selected from S, what is the positive difference between the probability that their product is less than 31 and the probability that their sum is odd?
a) 1/336
b) 1/2
c) 17/28
d) 3/4
e) 301/336
Option c – 17/28
A 10-letter code is to be formed from the letters P, Q, R, S, T, U, V, W, X, and X (the letter X appearing twice). What is the probability that the two X’s are positioned next to each other?
a) 1/0
b) 1/8
c) 1/5
d) 1/4
e) 1/2
Option c – 1/5
If p² – 13p + 40 = q and p is a positive integer between 1 and 10 inclusive, what is the probability that q is negative?
a) 1/10
b) 1/5
c) 2/5
d) 3/5
e) 3/10
Option b – 1/5
Karuna and Deewani each start with Rs. 10. They flip a fair coin five times. On heads, Karuna gives Rs. 1 to Deewani; on tails, Deewani gives Rs. 1 to Karuna. After five flips, what is the probability that Karuna has more than Rs. 10 but less than Rs. 15?
a) 5/16
b) 1/2
c) 12/30
d) 15/32
e) 3/8
Option d – 15/32
There is a 10% probability that it will not snow in Narkanda–Shimla all winter, and a 20% probability that schools will not close during the winter. What is the highest possible probability that it will snow and schools will close?
a) 55%
b) 60%
c) 70%
d) 80%
Option d – 80%
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