CMI Masters in Data Science 2025 Question Paper with Solutions: 20 Questions, Answer Key & Section-wise Analysis

The number of one-to-one functions is $3^4$.

There are as many one-to-one functions as onto functions.

The number of onto functions is strictly less than the number of one-to-one functions.

The number of one-to-one functions is 24.

foo(A, n) counts the number of index pairs $(i,j)$ such that $i<j$ and $A[i]>2\times A[j]$.

For the input A = [1, -4, 3, -5, -2], n = 5, the function returns 7.

For the input A = [1, 2, 3, 4, 5], n = 5, the function returns 0.

For the input A = [10, 5, 1], n = 3, the function returns 2.

$(-\infty ,2)$

$(3,\infty )$

$(-\infty ,2)\cup (3,\infty )$

$(-\infty ,\infty )$