Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833

For two events A and  B, P(A) = P(A|B) = 0.25 and P(BIA) = 0.5. Which of the following are correct?

I. A and B are independent.

II. P(Ac ∪ Bc) = 0.875

III. P(Ac ∩ Bc) = 0.375

Select the answer using the code given below.

1
I and II only
2
II and III only
3
I and III only
4
I, II and III
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
1
1/36
2
5/36
3
7/36
4
29/36
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
1
53/3125
2
63/3125
3
73/3125
4
83/3125
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
1
5/9
2
2/3
3
1/3
4
1/2