Ashok Gupta and Rajat Jain Solutions for Chapter: Practice Set, Exercise 67: Quantitative Aptitude

The weights of zinc, copper and aluminium in an alloy are in the ratio $2:3:7$. In the alloy weighing $48 kg$, the difference in weights of zinc and aluminium is -

The average weight of $8$ persons is increased by $2.5 kg$ when one of them whose weight is $56 kg$ is replaced by a new man. The weight of the new man is -

The difference between the selling price of a shirt sold at profit $15\%$ and $17\%$ is $₹3$. Then the cost price of the shirt is:

Ratan's expenditure and savings are in the ratio $5:1$. If his salary is increased by $25\%$ and savings by $15\%$, the percentage increase in his expenditure is:

If the simple interest on a certain sum of money for three years in $Rs. 225$ and the compound interest on the same sum at the same rate for $2$ years is $Rs. 150$, then the principal invested, in rupees, is ________.

${\sin }^{2}21°+{\sin }^{2}69°$ is equal to ______.

${\sin }^{2}5+{\sin }^{2}25+{\sin }^{2}45+{\sin }^{2}65+ {\sin }^{2}85$ is _______.

If $3{\sin }^2\text{α}+7{\cos }^2\text{α}=4$, then the value of $\tan \text{α}$ is (where, $0°<\text{α}<90°$).