List of top Questions asked in Tripura Joint Entrance Examination

A and B are two radioactive samples of half-life 12 hours and 16 hours respectively. The number of nuclei in them are in the ratio 2:1. After 48 hours, this ratio will become
27 water droplets of radius 3 mm each and charged with the same charge are coalesced to form a big water drop. The ratio of surface charge density of the small drop and large drop will be
An electron of charge e and mass m is kept in a uniform electric field E, then the acceleration of the electron will be
The shortest distance between the lines \[ \frac{x + 1}{1} = \frac{y - 3}{-1} = \frac{z - 1}{-1} \quad \text{and} \quad \frac{x}{3} = \frac{y - 1}{2} = \frac{z + 1}{-1} \] is:
If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is:
The equation of the image of the line $ 2y - x = 1 $ obtained by the reflection on the line $ 4y - 2x = 5 $ is:

If l, m, n are the pth, qth and rth terms of a G.P. respectively and l, m, n > 0, then

\[ \begin{vmatrix} \log_l p & 1 \\ \log_m q & 1 \\ \log_n r & 1 \end{vmatrix} \]

The value of \[ \tan^{-1} \left( \frac{\sin 2 - 1}{\cos 2} \right) \] is:
If $ A $ is the A.M. of the roots of the equation $ x^2 - 2ax + b = 0 $ and $ G $ is the G.M. of the roots of the equation $ x^2 - 2bx + a^2 = 0 $, $ a>0 $, then:
The function $ f(x) = x^3 - 3x $ is:
The area bounded by the curves $ y = \log_e x $ and $ y = (\log_e x)^2 $ is:
The differential equation of all circles of radius $ a $ is:
The mapping $ f: \mathbb{R} \to \mathbb{R} $ such that $ f(x) = |x - 1| $, $ x \in \mathbb{R} $ is:
Evaluate the integral: \[ \int_0^2 |x^2 + x - 2| \, dx \]
If \[ \int \frac{3e^x + 5e^{-x}}{4e^x - 5e^{-x}} \, dx = Ax + B \ln |4e^{2x} - 5| + C \] then, the values of $ A $, $ B $, and $ C $ are:
Where do you find 'Ball and Socket' joint in human body?
Which of the following is associated with Barr body?
Which of the following is used for bread-making?
What are the most important livestocks in India?
Which of the following is not an antibiotic?
Which of the following DNA is made from RNA?
Who first proposed the term 'biodiversity'?
Which one is the origin of lysosome?
'Oral contraceptive pills' help in birth control by
Which of the following is believed to be the cause of dyslexia?