Class 11

Math

JEE Main Questions

Sets

If X and Y are two sets such that has 18 elements, X has 8 elements and Y has 15 elements; how many elements does $X∩Y$have?

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Directions: The following questions are based on the diagram given below: $(i)Rectang≤representsma≤s$(ii) Triangles represents educated$(iii)Circ≤representsurban$(iv) Square represents urban\displaystyle{W}{h}{o}{a}{m}{o}{n}{g}{t}{h}{e}{f}{o}{l}{l}{o}{w}\in{g}{i}{s}{a}{n}{e}{d}{u}{c}{a}{t}{e}{d}{m}{a}\le{w}{h}{o}{a}{r}{e}{\mathfrak{{o}}}{m}{u}{r}{b}{a}{n}{a}{r}{e}{a}?

Looking at the Venn diagram list the elements of the following sets:$A∖C$

Let$U={1,2,3,4,5,6,7,8,9},A={2,4,6,8}andB={2,3,5,7}˙$ Verify that: $(A∪B)_{_{′}}=A_{′}∩B_{′}$ (ii) $(A∩B)_{_{′}}=A_{prime}∪B_{p}rime$

Write the following intervals in set builder form:(i) $(3,0)$ (ii) $[6,12]$ (iii) $(6,12]$ (iv) $[23,5)$

If $R$ is the set of real numbers and $Q$ is the set of rational numbers, then what is $R−Q$?

Let $A={1,2,3,4}$ and $B={2,4,5,6}$. Find $A∩B$

Directions: In each of the following questions below, a statement is given followed by two conclusions numbered I and II. You have to decide which alternative among the given options follow from the given statement. Statement: Political leaders often invite film stars for their election campaign. Conclusions: I. People have more faith in film stars. II. Film stars are big crowd pullers.

Directions: In each of the following questions below, a statement is given followed by two conclusions numbered I and II. You have to decide which alternative among the given options follow from the given statement. Statement: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: I. 80% of the team consists of spinners. II. The opening batsmen were spinners.