1
JEE Main 2023 (Online) 29th January Evening Shift
Numerical
+4
-1

The total number of 4-digit numbers whose greatest common divisor with 54 is 2, is __________.

2
JEE Main 2023 (Online) 29th January Morning Shift
Numerical
+4
-1

If all the six digit numbers $$x_1\,x_2\,x_3\,x_4\,x_5\,x_6$$ with $$0< x_1 < x_2 < x_3 < x_4 < x_5 < x_6$$ are arranged in the increasing order, then the sum of the digits in the $$\mathrm{72^{th}}$$ number is _____________.

3
JEE Main 2023 (Online) 29th January Morning Shift
Numerical
+4
-1

Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial numbers. For example, the number 77777 has serial number 1. Then the serial number of 35337 is ____________.

4
JEE Main 2023 (Online) 25th January Evening Shift
Numerical
+4
-1

A triangle is formed by X-axis, Y-axis and the line $$3x+4y=60$$. Then the number of points P(a, b) which lie strictly inside the triangle, where a is an integer and b is a multiple of a, is ____________.

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