List of top Questions asked in BITSAT- 2023

The area enclosed between the curve \( y = \log_e(x + e) \) and the coordinate axes is:

The ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and  (3, -5, 8)  is  2 : m.  
The value of m is:

If the coordinates of the points A and B are (3, 3)  and  (7, 6),  then the length of the portion of the line AB intercepted between the axes is:

Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:
Evaluate the integral: \[ I = \int \frac{x + 3}{(x + 4)^2} e^x \,dx \]
If \( \int \frac{e^x (1 + \sin x)}{1 + \cos x} \, dx = e^x f(x) + C \), then \( f(x) \) is equal to:
The interval in which the function \( f(x) = 4x^2 + x \) is decreasing is:
The derivative of \( e^{x^3} \) with respect to \( \log x \) is:
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:
Bag P contains 6 red and 4 blue balls, and bag Q contains 5 red and 6 blue balls. A ball is transferred from bag P to bag Q and then a ball is drawn from bag Q. What is the probability that the ball drawn is blue?
The probability of getting a sum greater than 7 when a pair of dice are thrown is:
If \( P(B) = \frac{3}{5} \), \( P(A \mid B) = \frac{1}{2} \), and \( P(A \cup B) = \frac{4}{5} \), then the value of \( P(A \cup B)' + P(A' \cup B) \) is:

Select the figure from among the given Option that can replace the question mark (?) in the following series. 

Find the Missing Number: 
2, 12, 36, 80, 150, ?

Identify the Venn diagram that best represents the relationship among classes given below: Profit, Dividend, and Bonus.
If 'when' means ' x ', 'you' means ' ÷ ', 'come' means '-' and 'will' means '+', then what will be the value of `` 8 when 12 will 16 you 2 come 10" = ?

In the following question, select the related number that will correct the place of the question mark. 
\[ 108 : 11664 :: 112 : \, ? \]

Find the next term in the following series:
X24C, V22E, T20G, _____
Which one set of letters when sequentially placed at the gaps in the given letter series would complete it?
fgg _____ gff _____ f _____ gfg _____ fgfo

Select the option in which the numbers are related in the same way as are the numbers in the given set. 
(9, 217, 8)

How many triangles are there in the following figure? 
 

In the questions, select the missing number from the given responses. 

Which number pair is odd among the given four number pairs?
A radioactive material is reduced to \( \frac{1}{8} \) of its original amount in 3 days. If \( 8 \times 10^{-3} \) kg of the material is left after 5 days, what was the initial amount of the material?
Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditions: