If Rs$1440$. is divided into two parts in which one part is $\frac{7}{9}$ of the second, then the smaller part is :

(A) Rs. $405$

(B) Rs. $630$

(C) Rs. $810$

(D) Rs.$1035$

If $\sqrt{4^n}= 1024$, then the value of n is :

(A) $5$

(B) $8$

(C) $10$

(D) $12$

The average weight of $8$ boys is increased by $1.5$kg when one of the boys, whose weights $65$ kg is replaced by the new boy, the weight of new boy is:

(A) $70$ kg

(B) $74$ kg

(C) $76$ kg

(D) $77$ kg

The $\frac{4}{5}$th of a certain number is $64$. Half of the number is

The ratio between the present ages of Ravi and Jay is $3:2$. if Ravi was $6$ years older than Jay, four years back how old is Jay now?

(A) $6$ years

(B) $12$ years 

(C) $18$ years

(D) Data inadequate

${\left[\frac{81}{169}\right]}^{-\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} = ?$

(A) $\frac{3}{169}$

(B) $\frac{2}{169}$

(C) $\frac{9}{13}$

(D) $\frac{13}{9}$

By selling a tape recorder for Rs. $950$, I lose $5$%. What % shall I gain by selling it for Rs. $1040$?

(A) $4$%

(B) $4.5$%

(C) $40$%

(D) $5$%

When $1$ is added to each of the given numbers, their ratio becomes $3:4$ and when $5$ is subtracted from each, the ratio becomes $7:10.$. The numbers are:

(A) $8,11$

(B) $11,15$

(C) $26,35$

(D) $27,36$

$5$ man or $9$ women can do a piece of work in $19$ days. In how many days will $3$ men and $6$ women together will finish the work?

(A) $10$ days

(B) $15$days

(C) $57$ days

(D) $38$ days