1
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A-card is obtained. The probability that the second A-card appears before the third B-card is :
A
$${{13} \over {16}}$$
B
$${{11} \over {16}}$$
C
$${{15} \over {16}}$$
D
$${{9} \over {16}}$$
2
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let z be complex number such that
$$\left| {{{z - i} \over {z + 2i}}} \right| = 1$$ and |z| = $${5 \over 2}$$.
Then the value of |z + 3i| is :
A
$$2\sqrt 3 $$
B
$$\sqrt {10} $$
C
$${{15} \over 4}$$
D
$${7 \over 2}$$
3
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to :
A
6
B
8
C
4
D
7
4
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :
A
$${1 \over {18\pi }}$$
B
$${1 \over {36\pi }}$$
C
$${1 \over {54\pi }}$$
D
$${5 \over {6\pi }}$$
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