1.If '#' means 'less than' ,'*' means 'greater than ' and '@' means 'equal to ' and given that a # b , c@ d and c *b ,then which of the following is true? A) d # a B) b * d C) a @ c D) a#b#c View Answer Report DiscussAnswer: Option DExplanation:a#b= a<b c*b=c>b c @ d =c=d therefore a<b<c=d
2.If $4 \circledcirc 5 = 189$ and $10\circledcirc 8 =1512$ then $ 6\circledcirc9$ = A) 945 B) 1148 C) 983 D) 764 View Answer Report DiscussAnswer: Option AExplanation:$4^{3} + 5^{3}$ $= 64+125$ $=189$ is $4\circledcirc5$ $10^{3} + 8^{3}$ $= 1000+512$ $= 1512$ $=10 \circledcirc 8$ Similarly $6\circledcirc9$ $=6^{3} + 9^{3}$ $= 216+729$ $=945$.
3.If $p\oplus q$ $=p^{2}+q^{2}$$-p-q$ and $p=pq-p-q$ then $(6\oplus 5)\triangle 5=$ A) 200 B) 175 C) 195 D) 179 View Answer Report DiscussAnswer: Option CExplanation:$6\oplus 5$ $=6^{2}+5^{2}-6-5$ $=36+25-6-5$ $=50$ $(6\oplus 5)\triangle 5$ $=50\triangle 5$ $=50\times 5-50-5$ = 195
4.If $a@ b$ $= a^{2}b^{2}$$-ab$ then $3 @ 8 =$ A) 600 B) 552 C) 576 D) 625 View Answer Report DiscussAnswer: Option BExplanation:Given $a@b$ $=a^{2}b^{2}-ab$ $\Rightarrow 3 @ 8$ $=3^{2}\times 8^{2}$$-3\times 8$ $=9\times 64-24$ $=576-24=552$
5.If '-' stands for '$\times$' , '$\times$' stands for '+' ,'+' stands for '$\div$', and '$\div$' stands for '-' , then what is the value of $9\div$$18\times15+3-6\times12$? A) 24 B) 30 C) 33 D) 42 View Answer Report DiscussAnswer: Option CExplanation:The given expression is $9\div$$18\times15+3-6\times12$. By converting the symbols according to the given definitions we get $9-18+15$$\div3\times 6+12$ Solving this BODMAS rule,we get the value as 33.
