1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of the product $${6^{{1 \over 2}}} \times {6^{{1 \over 4}}} \times {6^{{1 \over 8}}} \times {6^{{1 \over {16}}}} \times ....$$ up to infinite terms is
A
6
B
36
C
216
D
512
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A person is to count 4500 notes. Let an denote the number of notes he counts in the nth minute.

If a1 = a2 = a3 = ...... = a10 = 150, and a10, a11, a12, ..... are in AP with the common difference $$-$$2, then the time taken by him to count all the notes is
A
24 min
B
34 min
C
125 min
D
135 min
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$y = x + {x^2} + {x^3} + ...$$ up to infinite terms where x < 1, then which one of the following is correct?
A
$$x = {y \over {1 + y}}$$
B
$$x = {y \over {1 - y}}$$
C
$$x = {{1 + y} \over y}$$
D
$$x = {{1 - y} \over y}$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of $${1 \over {{{\log }_3}e}} + {1 \over {{{\log }_3}{e^2}}} + {1 \over {{{\log }_3}{e^4}}} + ......$$ up to infinite terms is
A
$${{{\log }_3}9}$$
B
0
C
1
D
$${{{\log }_3}3}$$
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