1
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is :
A
$${2 \over 9}$$
B
$${1 \over 5}$$
C
$${122 \over 297}$$
D
$${97 \over 297}$$
2
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the chest disorder. The probability that the selected person is a smoker and non-vegetarian is :
A
$${{14} \over {45}}$$
B
$${{8} \over {45}}$$
C
$${{7} \over {45}}$$
D
$${{28} \over {45}}$$
3
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
When a missile is fired from a ship, the probability that it is intercepted is $${1 \over 3}$$ and the probability that the missile hits the target, given that it is not intercepted, is $${3 \over 4}$$. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :
A
$${3 \over 4}$$
B
$${3 \over 8}$$
C
$${1 \over 27}$$
D
$${1 \over 8}$$
4
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
The coefficients a, b and c of the quadratic equation, ax2 + bx + c = 0 are obtained by throwing a dice three times. The probability that this equation has equal roots is :
A
$${1 \over {72}}$$
B
$${5 \over {216}}$$
C
$${1 \over {36}}$$
D
$${1 \over {54}}$$
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