1
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Change Language
Let S be the set of all integer solutions, (x, y, z), of the system of equations
x – 2y + 5z = 0
–2x + 4y + z = 0
–7x + 14y + 9z = 0
such that 15 $$ \le $$ x2 + y2 + z2 $$ \le $$ 150. Then, the number of elements in the set S is equal to ______ .
Your input ____
2
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Change Language
If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal to 2nd G.M., then m is equal to _________ .
Your input ____
3
JEE Main 2020 (Online) 3rd September Evening Slot
Numerical
+4
-0
Change Language
The total number of 3-digit numbers, whose sum of digits is 10, is __________.
Your input ____
4
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The probability that a randomly chosen 5-digit number is made from exactly two digits is :
A
$${{150} \over {{{10}^4}}}$$
B
$${{134} \over {{{10}^4}}}$$
C
$${{121} \over {{{10}^4}}}$$
D
$${{135} \over {{{10}^4}}}$$
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