1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the greatest value of the positive integer n satisfying the condition?

$$1 + {1 \over 2} + {1 \over 4} + {1 \over 8} + .... + {1 \over {{2^{n - 1}}}} < 2 - {1 \over {1000}}$$
A
8
B
9
C
10
D
11
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
How many geometric progressions is/are possible containing 27, 8 and 12 as three of its/their terms?
A
One
B
Two
C
Four
D
Infinitely many
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p$$-$$1 + q$$-$$1 + r$$-$$1 = 5/3.
What is the value of ab?
A
10
B
9
C
8
D
6
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Let a, x, y, z, b be in AP, where x + y + z = 15. Let a, p, q, r, b be in HP, where p$$-$$1 + q$$-$$1 + r$$-$$1 = 5/3.
What is the value of xyz?
A
120
B
105
C
90
D
Cannot be determined
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