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 shall miss at least one of the ten jobs assigned to him is 0.55. Find the probability that he will do all ten jobs.
a) 10%
b) 0.045
c) 0.55
d) ¾
e) 66%
Option b – 0.045
Leena has a deck of standard cards with 13 out of the 52 cards designed as “hearts”. She shuffles the deck and deals 10 cards off the top of the deck. The probability that the 10th card dealt is a heart is?
a) 1/4
b) 1/5
c) 5/26
d) 12/42
e) 13/42
Option a – 1/4
If 40% of all the students at DAV College have brown hair and 70% have blue eyes. Find the difference between the minimum and the maximum probability of picking 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 has green yellow : red balls in the ratio 4 : 3 : 2. Probability of picking up, at random, a red ball is?
a) 2/9
b) 4/9
c) 5/9
d) 1
e) 8/9
Option a – 2/9
After buying five eggs from Roshan Lal’s shop, I found 2 eggs were rotten in the pack. What is the probability that two eggs chosen from the bag are rotten?
a) ½
b) 1/0
c) ¾
d) 2/5
e) 1/8
Option b – 1/0
From a given relationship of gender level in a distribution of 16 engineers, if one engineer is selected, at random, from the team, what is the probability that a mail engineer is selected?
a) 3/16
b) 1/4
c) ½
d) ¾
e) 9/32
Option b – 1/4
Books worth INR 500 are given to anyone who sends the solution to this exercise independently. The probability that Meenu Mehta will win the books is 70% while that of Avinash is 0.6. What is the probability that both will win the books?
a) 0.13
b) 0.1
c) 42%
d) 0.26
e) 1.2
Option c – 42%
A small, experimental plane has three engines, one of which is redundant. As long as two engines are working, the plane will stay in the air. During the typical flight, there is a 1/3 chance that engine one will fail. There is a 75% probability that engine two will work. The third engine works only half the time. The probability that the plane will NOT crash on any given flight is?
a) 5/12
b) ¾
c) ½
d) 17/24
e) 7/24
Option d – 17/24
Set S is the set of all prime integers between 0 and 20. If three numbers are chosen randomly from set S and each number can be chosen only once, what is the positive difference between the probability that the product of these three numbers is a number less than 31 and the probability that the sum of these three numbers is odd?
a) 1/336
b) ½
c) 17/28
d) ¾
e) 301/336
Option c – 17/28
A random 10-letter code is to be formed using the letters P,Q,R,S,T,U,V, W, X, and X (only X will be used twice because of its presence). Find the probability that a code that has two X’s adjacent to one another will be formed.
a) 1/0
b) 1/8
c) 1/5
d) ¼
e) ½
Option c – 1/5
If p² – 13p + 40 = q and ‘p’ is a positive integer between 1 and 10 (both inclusive), find the probability that q < 0
a) 1/10
b) 1/5
c) 2/5
d) 3/5
e) 3/10
Option b – 1/5
Karuna and Deewani each have Rs.10. Both flip a fair coin 5 times. On the coin landing on heads, Karuna gives Deewani Rs.1. On the coin landing on tails, Deewani gives Karuna Rs.1. After the five coin flips, find the probability that Karuna has more than Rs.10 but less than Rs. 15.
a) 5/16
b) ½
c) 12/30
d) 15/32
e) 3/8
Option d – 15/32
There is a 10% chance that it won’t snow in Narkanda – Shimla (H.P.) all winter long. There is a 20% chance that schools will not be closed all winter long. What is the greatest possible probability that it will snow and schools will be closed during the winter?
a) 55%
b) 60%
c) 70%
d) 72%
e) 80%
Option e – 80%
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