List of top General Aptitude Questions on Quantitative Aptitude asked in GATE ME

Consider a string P of length \(l\) that is laid out as a straight line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length \(x\) they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii).

The value of \(x/l\) is ____________
"All the mangoes in the basket are good." If the above statement is false, then which one of the following statements is necessarily true?
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.
ProductPQRST
Unit selling price (Rs.)10050406060
What is the quantity of product P sold on that day?
If a positive real \(x\) satisfies the following equation \[ \log_2 x + \log_{\sqrt{2}} x = 48, \] then the value of \(x\) is ____________