List of top General Aptitude Questions asked in GATE Chemical Engineering

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be \( 89.85^\circ \), the ratio of the Earth-Sun and Earth-Moon distances is closest to:
If \( z_1 = -1 + i \) and \( z_2 = 2i \), where \( i = \sqrt{-1} \), then \( \text{Arg}(z_1 / z_2) \) is:
A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, \( E \), as shown in the figure. The loss of \( E \) in the two product streams is negligible, so \( E \) circulates around the process in a closed circuit. For a distillation column with fully specified feed(s), given operating pressure, a single distillate stream, and a single bottoms stream, the steady-state degrees of freedom equals 2. For the process in the figure with a fully specified AB feed stream and given column operating pressures, the steady-state degrees of freedom equals: \includegraphics[width=0.5\linewidth]{q14 CE.PNG}
In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is:
For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \[ \left(\frac{p}{q}\right)^{\frac{p}{q}} = \left(\frac{p}{q}\right)^{(p - q)}. \] Then: (1) \( q^p = p^q \)
(2) \( q^p = p^{2q} \)
(3) \( \sqrt{q} = \sqrt{p} \)
(4) \( \sqrt[q]{q} = q\sqrt[p]{p} \)
Which one of the given options is a possible value of \( X \) in the following sequence? \[ 3, 7, 15, X, 63, 127, 255 \]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic stadiums, athletics \( (i) \) the potential for a spectacle. The crowd \( (ii) \) with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps \( (iii) \) in an abrupt stop on his left foot. As his body \( (iv) \) like a door turning on a hinge, the javelin is launched skyward at a precise angle.
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin?
If ‘—’ denotes increasing order of intensity, then the meaning of the words [simmer — seethe — smolder] is analogous to [break — raze — ]. Which one of the given options is appropriate to fill the blank?