Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
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Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
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Trigonometry
Trigonometric Angles and Equations
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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
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Application of Derivatives
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Indefinite Integration
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Definite Integration
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Area Under The Curves
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Differential Equations
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1
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, then what is the sum of the first ten terms?
A
-500
B
-250
C
500
D
250
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83

Consider the following statements:

1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is also a GP.

2. If each term of a GP is divided by same non-zero number, then the resulting sequence is also a GP.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If x2, x, -8 are in AP, then which one of the following is correct?
A
x ∈  {-2}
B
x ∈  {4}
C
x ∈  {-2, 4}
D
x ∈  {-4, 2}
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
The third term of a GP is 3. What is the product of its first five terms?
A
81
B
243
C
729
D
Cannot be determined due to insufficient data