Kiran Expert Team Solutions for Chapter: Mock Test Model Practice Set, Exercise 35: Quantitative Aptitude

If $A, B$, and $C$ are the angles of triangle $ABC$, then the value of $=\mathrm{Sin}\left(\frac{\mathrm{B}+\mathrm{C}}{2}\right)$

The greatest four digit number which is exactly divisible by each one of the numbers $12, 18, 21$, and $28$ is: 

The mean high temperature of the first four days of the week is $25°C$, whereas the mean of the last four days is $25.5°C$. If the mean temperature of the whole week is $25.2°C$, then the temperature of the 4th day is?

$ABCD$ is trapezium such that $AB=CD$ and $AD\left|\right|BC$. $AD=10 cm$ and $BC=18 cm$. If the area of $ABCD$ is $70c{m}^2$, what is the value (in $cm$) of $CD$?

$AB$ and $AC$ are tangents to a circle with centre $O$. $A$ is the external point of the circle. The line $AO$ intersects the chord $BC$ at $D$. The measure of angle $BDO$ is:

If $a+b=6x$, then what is the value of $\frac{\mathrm{x}}{\mathrm{a}-3\mathrm{x}}+\frac{\mathrm{x}}{\mathrm{b}-3\mathrm{x}}$?

A man used to have a certain amount. He donates $7\frac{9}{13}\%$ to someone. Now, he receives $7\frac{1}{7}\%$ of the remaining from his boss. Again, he spends $6\frac{2}{3}\%$ of the remaining on food. Again, he receives $6\frac{1}{4}\%$ of the remaining from his colleague. Again, he spends $5\frac{15}{17}\%$ of the remaining on drinks. Again, he receives $5\frac{5}{9}\%$ of the remaining from his junior. Finally, he spends $5\frac{5}{19}\%$ of the remaining and is left with $Rs.1200$. Find the amount (in Rs.) he had in the beginning.

In a class of $50$ students, $23$ speak English, $15$ speak Hindi, $18$ speak Punjabi, $3$ speak only English and Hindi, $6$ speak only Hindi and Punjabi, and $6$ speak only English and Punjabi. If $9$ can speak only English, then how many students can speak all the three languages?