List of top Questions asked in AP ECET BSc Mathematics

If \[ P= \begin{pmatrix} 1 & a & b\\ 0 & 2 & c\\ 0 & 0 & 1 \end{pmatrix}, \quad a,b,c\in\mathbb{Z}, \] then \(P\) is diagonalizable iff ____.

The following Pie diagram shows the marks secured by a student in different subjects in an examination. If the student scored 135 marks in Mathematics, answer the question after studying the Pie-chart.

In a code language, \(m^{\text{th}}\) letter is coded as \((m-1)^{\text{th}}\) letter if \(m\) is odd and \((m+1)^{\text{th}}\) letter if \(m\) is even. Then which word is coded as ‘LDZMR’? 

If \(a*b=a^3+b^3-3ab\), then \[ \frac{(2*1)*(2*1)}{(2*1)}= \] 

Bertrand Russell appeals to all concerned as human beings, a member of the species, man whose continued existence is in doubt. A war with hydrogen bombs puts an end to the human race. In his view, it seems the ‘general public’ have not realized the impact of a war with atomic bombs. A hydrogen bomb is 25000 times as powerful as that which destroyed Hiroshima. So, the stark, dreadful and inescapable problem before us is whether we shall put an end to the human race or we shall give up wars. He explains in great detail the role of ordinary people in the peace process and requests the ‘general public’ to be more aware and assertive so that the fate of the nations need not be decided by despotic leaders alone.

Choose the correct option to arrange the words in the jumbled sentence to make it meaningful. 
An interesting book / by my friend / to me / was given.
 A _ _ _ _ B _ _ _ _ C _ _ _ _ D