Solution: (c)

By identifying the number series question pattern, we see that,

\(\displaystyle 14+(1\times 2)=16\)

\(\displaystyle 16+(3\times 4)=28\)

\(\displaystyle 28+(5\times 6)=58\)

\(\displaystyle 58+(7\times 8)=114\)

\(\displaystyle 114+(9\times 10)=204\)   

Solution: (d)

By identifying the number series question pattern, we see that,

\(\displaystyle 13.76+(1\times 1.15)=14.91\)   

\(\displaystyle 14.91+(2\times 1.15)=17.21\)

\(\displaystyle 17.21+(3\times 1.15)=20.66\)

\(\displaystyle 20.66+(4\times 1.15)=25.26\)

\(\displaystyle 25.26+(5\times 1.15)=31.01\)  

Solution: (e)

By identifying the number series question pattern, we see that,

\(\displaystyle 15+{{1}^{2}}=16\)

\(\displaystyle 16+{{2}^{3}}=16+8=24\)

\(\displaystyle 24+{{3}^{2}}=24+9=33\)

\(\displaystyle 33+{{4}^{3}}=33+64=97\)

\(\displaystyle 97+{{5}^{2}}=97+25=122\)                      

Solution: (b)

By identifying the number series question pattern, we see that,

\(\displaystyle 4\times 3=12\)

\(\displaystyle 12\times 5=60\)

\(\displaystyle 60\times 7=420\)

\(\displaystyle 420\times 9=3780\)

\(\displaystyle 3780\times 11=41580\)

Solution: (d)

By identifying the number series question pattern, we see that,

\(\displaystyle 6+{{7}^{3}}=349\)

\(\displaystyle 349+{{6}^{3}}=565\)

\(\displaystyle 565+{{5}^{3}}=690\)

\(\displaystyle 690+{{4}^{3}}=754\)

\(\displaystyle 754+{{3}^{3}}=781\)