List of top Questions asked in Banaras Hindu University Postgraduate Entrance Test

Find the region that represents those rural students who are not intelligent? 

Find the region that represents those rural students who are not intelligent
For a two-dimensional free electron gas, the electron density \(n\) and Fermi energy \(E_F\) are related as:
Find out the next number in the series 97, 86, 73, 58, 45, (............):
Pointing to an old woman, Aryan said, "Her son is my son's uncle." How is Aryan related to the old woman?
Which of the following is a Hermitian operator?

In the following Venn diagram, which of the following represents the educated men but not urban?

If a particle is fixed on a rotating frame of reference, the fictitious force acting on the particle will be:
Given the Bessel function:
$$ J_0(x) = 1 - \frac{x^2}{2^2} + \frac{x^4}{2^2 \cdot 2^2} - \frac{x^6}{2^2 \cdot 2^2 \cdot 2^2} + \dots $$ The Bessel function $ J_1(x) $ is given by:
One solution (about $ x = 0 $ ) of the differential equation
$$ x^2 \frac{d^2 y}{dx^2} - 3x \frac{dy}{dx} + 4y = 0 $$ is $ y_1(x) = c_1x^2$ . A second linearly independent solution (with another constant $ c_2 $ ) is:
What will be the change in the volume of a cube when its side becomes 10 times the original side?
In how many ways can the letters of the word 'PERMUTATIONS' be arranged if vowels are together?
The number of diagonals that can be drawn by joining the vertices of an octagon is:
In a group of children, each child gives a gift to every other. If the number of gifts is 132, then the number of children is:
A boat goes 16 km upstream and 24 km downstream in 6 hours. It can go 12 km upstream and 36 km downstream in the same time. The speed of the boat in still water is:
A 90 kg solution has 10% salt. How much water must be evaporated to have the solution with 20% salt?
There are 200 Prizes of Rs. 100 and Rs. 50 only. If the total amount spent on the prizes is Rs. 12,000, the number of prizes of Rs. 100 is:
A man marks his goods at a price that would give him 20% profit. He sells \( \frac{3}{5} \) of the goods at the marked price and sells the remaining at 20% discount. The gain percent in the whole transaction is:
‘A’ sold a table to ‘B’ at a profit of 15%, later on ‘B’ sold it back to ‘A’ at a profit of 20% there by gaining Rs. 69. How much did ‘A’ pay for the table originally?
'द्विवेदी युग' किसके नाम पर जाना जाता है?
विन्य-पदत्तिका किसकी कृति है?
इनमें से कौन वीरेश के काव्य के रूप में जाना जाता है?
'अंधेर नगरी' किसकी कृति है?
'स्वदेशी प्रचार' किसकी कृति है?
इनमें से कौन भविष्य काल का कवि नहीं है?
आधुनिक उपन्यास के रूप में किसकी पहचान है?