Question 1-6 of 357: Set Theory (Mathematics) | CUET (Common University Entrance Test) PG Computer Science, IT (SCQP09) | Includes PYQs | Get Solutions with Detailed Explanations

Ananaya and Krishna can speak and follow English. Bulbul can write and speak Hindi as Archana does. Archana talks with Ananaya also in Bengali. Krishna can not follow Bengali. Bulbul talks with Ananya in Hindi. Who can speak and follow English, Hindi and Bengali? (December)

The total number of three digit numbers, the sum of whose digits is even, is equal to

Total number of four digit odd number that can be formed by using ${\displaystyle 0,1,2,3,5,7}$ is

There are two professors each of mathematical, physics and chemistry. The number of ways these b professors can be seated in a row so that professors of the same subject can be seated together is

If m and n are position integer such that ${\displaystyle {}_{}{}^{m+n}{P}_2=90}$ and ${\displaystyle {}_{}{}^{m+n}{P}_2=30}$, then the number of ordered pair ${\displaystyle (m,n)}$ of such integers is

The number of positive integers satisfying the inequality ${\displaystyle {}_{}{}^{n+1}{C}_{n-2}-{}_{}{}^{n+1}{C}_{n-1}⩽100,}$ is