Temples, Mosques, Churches in Bengaluru Division

Q. Identify the important temples, mosques and churches in the Bengaluru region.

1. Gavi Gangadhareshwara Temple
2. St. Andrews Church
3. Sangeen Jamia Masjid
4. Sé Cathedral

Q. Maximum number of points of intersection of $n$ straight lines if $n$ satisfies ${}^{n+5}{P}_{n+1}=\frac{11(n-1)}{2}\times {}^{n+3}{P}_n$ is

1. $15$
2. $10$
3. $28$
4. $21$

Q. $\text{If}\frac{{}^{n+2}{C}_6}{{}^{n-2}{P}_2}=11$, then $n$ satisfies the equation:

1. $n^2+3n-108=0$
2. $n^2+2n-80=0$
3. $n^2+5n-84=0$
4. $n^2+n-110=0$

Q. $n{C}_r+nCr-1=?$

1. $n-1C_{r-1}$
2. $n+1Cr$
3. $2nCr$
4. $2nCr-1$

Q. The value of $(3\cdot 2\cdot {}^1{P}_0-4\cdot 3\cdot {}^2{P}_1+5\cdot 4\cdot {}^3{P}_2-\cdots \text{upto}101\text{terms})$ $+(2!-3!+4!-\cdots \text{upto}101\text{terms})$ is equal to

1. $2!-102!$
2. $2!-103!$
3. $2!+103!$
4. $3!+103!$

Q. If |A|=|B|= 4, then the number of injections from A to B is

1. 12
2. 16
3. 20
4. 24

Q. If ${}^{15}{P}_6=x{}^{15}{P}_5,$ then the value of $x$ is

1. $5$
2. $6$
3. $9$
4. $10$

Q. How many four letter words can be formed from the letters of the word "LOGARITHMS", if repetation is not allowed ?

Q. The value of $(11\cdot {}^{10}{P}_0-12\cdot {}^{11}{P}_1+13\cdot {}^{12}{P}_2-\cdots -20\cdot {}^{19}{P}_9)+({}^{12}{P}_2-{}^{13}{P}_3+{}^{14}{P}_4-\cdots +{}^{20}{P}_{10})$ is equal to

Q. If ${}^{2n+1}{P}_{n-1}:{}^{2n-1}{P}_n=3:5$, then the value of $n$ is :

1. $5$
2. $3$
3. $6$
4. $4$