List of top Quantitative Aptitude Questions asked in GATE AE

Consider the following sample of numbers: \[ 9, \; 18, \; 11, \; 14, \; 15, \; 17, \; 10, \; 69, \; 11, \; 13 \] The median of the sample is ?
The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio $5:3:13$. Of the total amount, the percentage of money in ₹5 coins is ?

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. 

 The typical energy density (kcal/g) of these macronutrients is given in Table~

\[ \begin{array}{|l|c|} \hline \textbf{Macronutrient} & \textbf{Energy density (kcal/g)} \\ \hline Carbohydrates   & 4 \\ Proteins        & 4 \\ Unsaturated fat & 9 \\ Saturated fat   & 9 \\ Trans fat       & 9 \\ \hline \end{array} \]

 The total fat (all three types), in grams, this person consumes is:

Two fair dice with faces numbered 1 to 6 are rolled together. Find the probability that both dice show odd numbers. (Give your answer rounded off to 2 decimal places.)

Sand and cement are mixed in the ratio \(3:1\). Cost ratio of sand to cement is \(1:2\). Total cost of sand and cement is \(\,1000\) rupees. Find the cost of cement used.