MCQ 11 MarkIf ${ }^{n-1} C _3+{ }^{n-1} C _4>{ }^n C _3$ then the value of $x$ is:A$7$B$<7$✓$>7$DNone of theseAnswerCorrect option: C. $>7$(C )View full question & answer→
MCQ 21 MarkThe number of ways in which 3 men and 2 men can sit on a bus, while the number of men and women sitting each side in 3 , will be :A$5 !$✓${ }^6 C _5 \times 5$ !C$6!\times{ }^6 C _5$D$5!+{ }^6 C _5$AnswerCorrect option: B. ${ }^6 C _5 \times 5$ !(B)View full question & answer→
MCQ 31 MarkA polygon has 44 diagonals. The number of sides will be :A7B8C9✓11AnswerCorrect option: D. 11(D)View full question & answer→
MCQ 41 MarkIf ${ }^{18} C _{ r }={ }^{18} C _{ r +2}$, then the value of ${ }^{ r } C _5$ is :A66✓56C46D64AnswerCorrect option: B. 56(B)View full question & answer→
MCQ 51 MarkHow many words will be formed from the letters of the word INDIA?A50✓60C40D80AnswerCorrect option: B. 60(B)View full question & answer→
MCQ 61 MarkIn the word COMBINE, the number of permutations keeping the vowels at odd places and taking all the letters is :A96B144C512✓576AnswerCorrect option: D. 576(D)View full question & answer→
MCQ 71 MarkIn how many ways can the letters of the word PENCIL be arranged, if N always comes after E?A420B720✓120D520AnswerCorrect option: C. 120(C )View full question & answer→
MCQ 81 MarkIf ${ }^n C _7={ }^n C _4$ then the value of $n$ is equal to:✓11B7C4D5AnswerCorrect option: A. 11(A)View full question & answer→
MCQ 91 Mark$0 !$ is equal to :Ainfinite✓oneCzeroDnot definedAnswerCorrect option: B. one(B)View full question & answer→
MCQ 101 MarkThe value of $n!$ is :✓$n \times n-1$ !B$(n-1) \times n$ !C$n(n-1)$ !DNone of theseAnswerCorrect option: A. $n \times n-1$ !(A)View full question & answer→
MCQ 111 MarkAn organization requires one man and one woman. If 10 women and 15 men apply, then in how many ways be selection be made?A125✓150C145D180AnswerCorrect option: B. 150(B)View full question & answer→
MCQ 121 MarkThere are 16 vacant posts of clerks in an office. In how many ways can there be filled out of 20 applicants?A13800B969C13876✓4845AnswerCorrect option: D. 4845(D)View full question & answer→
MCQ 131 MarkHow many words can be made from the letter of EXAMINATION?A$\frac{9!}{2!2!2!}$✓$\frac{11!}{2!2!2!}$C$\frac{11!}{2!2!}$DNone of theseAnswerCorrect option: B. $\frac{11!}{2!2!2!}$(B)View full question & answer→
MCQ 141 MarkHow many words can be made from the letters of the word GARDEN so that the vowels are in alphabetical order?✓360B240C120D480AnswerCorrect option: A. 360(A)View full question & answer→
MCQ 151 MarkIf ${ }^n C _r$, represents the number of combinations of $n$ objects by taking $r$ objects together, then the expression ${ }^n C _{r+1}+{ }^n C _{r-1}+2 \times{ }^n C _r$ is equal to :A${ }^{n+2} C _r$✓${ }^{n+2} C _{r+1}$C${ }^{n+1} C _r$D${ }^{n+1} C _{r+1}$AnswerCorrect option: B. ${ }^{n+2} C _{r+1}$(B)View full question & answer→
MCQ 161 MarkThere are 4 points on the circumference of a circle, how many triangles can be formed by combining them :✓4B6C8D12AnswerCorrect option: A. 4(A)View full question & answer→
MCQ 171 MarkHow many words can be made from the letters of BHOPAL?A124B240C360✓720AnswerCorrect option: D. 720(D)View full question & answer→
MCQ 181 MarkThere are 6 points on the circumference of a circle, the number of straight lines joining them will be :A30✓15C12D20AnswerCorrect option: B. 15(B)View full question & answer→
MCQ 191 MarkIf ${ }^{15} C _{3 r}={ }^{15} C _{r+3}$, then the value of $r$ is:A5B4✓3D2AnswerCorrect option: C. 3(C )View full question & answer→
MCQ 201 Mark${ }^{61} C _{57}-{ }^{60} C _{56}$ is equal to :A${ }^{61} C _{58}$✓${ }^{60} C _{57}$C${ }^{60} C _{58}$D${ }^{60} C _{56}$AnswerCorrect option: B. ${ }^{60} C _{57}$(B)View full question & answer→
MCQ 211 Mark${ }^{47} C _4+\sum_{r=1}^5{ }^{52-r} C _3$ is equal to :A${ }^{51} C _4$✓${ }^{52} C _4$C${ }^{53} C _4$DNone of theseAnswerCorrect option: B. ${ }^{52} C _4$(B)View full question & answer→
MCQ 221 MarkHow many words can be made from the letters of BHILWARA?✓$\frac{8!}{2!}$B$8$ !C$7$ !D$\frac{6!}{2!}$AnswerCorrect option: A. $\frac{8!}{2!}$(A)View full question & answer→
MCQ 231 MarkIn how many ways can 5 people sit at a round table :A120✓24C60D12AnswerCorrect option: B. 24(B)View full question & answer→
MCQ 241 Mark${ }^n P _r \div{ }^n C _r$ is equal to :A$n~!$B$(n-r)$ !C$\frac{1}{r!}$✓$r$ !AnswerCorrect option: D. $r$ !(D)View full question & answer→
MCQ 251 MarkIf ${ }^n P _{n-2}=60$, then the value of $n$ is :A2B4✓5D3AnswerCorrect option: C. 5(C )View full question & answer→