List of top Questions asked in NIMCET

Which out of the following words will appear last in the dictionary?
A man starts at the origin O and walks a distance of 3 units in the north-east direction and then walks a distance of 4 units in the north-west direction to reach the point P. Then \( \overline{OP} \) is equal to:

This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related: 
A: Some buildings are not skyscrapers.
B: Some skyscrapers are not buildings.
C: All falcons are birds.
D: All birds are yellow.
E: All birds are thirsty.
F: All falcons are yellow.
 

Which one of the following is the odd one from the given alternatives?
Consider an arbitrary number system with independent digits as 0, 1, and A. If we generate the first few numbers in the sequence as 00, 01, 0A, 10, 11, 1A and if this process is continued to generate the numbers, then the position of 10A is:
Rajesh will not go to the concert if Rakesh goes. Rakesh will go to the concert if his dog barks three times.
Based only on the information above, which of the following must be true?
A coin is thrown 8 times. What is the probability of getting a head in an odd number of throws?
The expression \( P + QR \) is the reduced form of:

Directions: A, B, C, D, and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E. The value of A is:

If one AM (Arithmetic mean) \( a \) and two GM's (Geometric means) \( p \) and \( q \) be inserted between any two positive numbers, the value of \( p^3 + q^3 \) is:
The value of the series \( \frac{2}{3!} + \frac{4}{5!} + \frac{6}{7!} + \dots \) is:
Which of the following is TRUE?
If \( x = 1 + \sqrt[6]{2} + \sqrt[6]{4} + \sqrt[6]{8} + \sqrt[6]{16} + \sqrt[6]{32} \), then \( \left( 1 + \frac{1}{x} \right)^{24} \) is equal to:
Identify the word that means the same as "ostentatious":
The two parabolas \( y^2 = 4a(x + c) \) and \( y^2 = 4bx \), \( a>b>0 \) cannot have a common normal unless:
Consider the function \( f(x) = \begin{cases} -x^3 + 3x^2 + 1, & \text{if } x \leq 2 \\ \cos(x), & \text{if } 2 < x \leq 4 \\ e^{-x}, & \text{if } x > 4 \end{cases} \) Which of the following statements about \( f(x) \) is true:
Let \( A \) and \( B \) be two events defined on a sample space \( \Omega \). Suppose \( A \) denotes the complement of \( A \) relative to the sample space \( \Omega \). Then the probability \( P((A \cap B) \cup (A^c \cap B)) \) equals:
From the given options, find the pair which is like the given pair \( 8:4 \).
Any given truth table can be represented by:
In a recent survey of 500 employees in a company, it was found that 60% of the employees prefer coffee over tea, 25% prefer tea over coffee, and the remaining 15% have no preference. If 20% of the employees who prefer coffee are also tea drinkers, how many employees prefer only tea?
After allowing 20% cash discount, a trader still earns a profit of 11.11%. How much above the cost price did the trader mark his goods?
Which of the following do not affect CPU performance?
A man gives his son Rs. 500. He then takes back Rs. 100 and gives him back Rs. 50. How much does the man give his son finally?

Directions: A, B, C, D, and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 8. D is the greatest and A the least. B is greater than E but less than C. The sum of the integers is equal to E. The sum of A and B is:

In a certain language, HEART is written as 2018010508, and LUNGS is written as 1907142112. If BRAIN is written in that language, what will be the last number?