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                        Showing posts with label Indian Navy. Show all posts
                        Showing posts with label Indian Navy. Show all posts

                        Friday, 20 December 2013

                        Indian Navy Placement Papers Free Download With Answers

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                        Indian Navy Placement Papers Free Download With Answers

                        1. Which of the following statements is not correct?

                        A. log10 10 = 1
                        B. log (2 + 3) = log (2 x 3)
                        C. log10 1 = 0
                        D. log (1 + 2 + 3) = log 1 + log 2 + log 3

                        Answer: Option B

                        Explanation:

                        (a) Since loga a = 1, so log10 10 = 1.

                        (b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

                        log (2 + 3) log (2 x 3)

                        (c) Since loga 1 = 0, so log10 1 = 0.

                        (d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

                        So, (b) is incorrect.

                        2    If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

                        A. 2.870 


                        B. 2.967
                        C. 3.876 

                        D. 3.912

                        Answer: Option C

                        Explanation:

                        3    If log 27 = 1.431, then the value of log 9 is:

                        Explanation:

                        log 27 = 1.431

                        log (33 ) = 1.431

                        3 log 3 = 1.431

                        log 3 = 0.477

                        log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.


                        4    If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
                        log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10

                        log10 [5 (5x + 1)] = log10 [10(x + 5)]

                        5(5x + 1) = 10(x + 5)

                        5x + 1 = 2x + 10

                        3x = 9

                        x = 3


                        5    The value of log2 16 is:

                        Answer: Option B

                        Explanation:

                        Let log2 16 = n.

                        Then, 2n = 16 = 24 n = 4.

                        log2 16 = 4.


                        Directions : In each of the following questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.

                         1. 1, 4, 9, 16, 25, (...)

                        (a) 35

                        (b) 36 (Ans)

                        (c) 48

                        (d) 49

                        Ans : The numbers are 12, 22, 32, 42, 52.

                        ∴ Missing number = 62 = 36.
                                                       

                        2. 20, 19, 17, (...), 10, 5,

                        (a) 12

                        (b) 13

                        (c) 14 (Ans)

                        (d) 15

                        Ans :  The Pattern is -1, -2, ...

                        ∴ Missing number = 17 - 3 = 14.



                        3. 2, 3, 5, 7, 11, (...), 17

                        (a) 12

                        (b) 13 (Ans)

                        (c) 14

                        (d) 15

                        Ans :  Clearly, the given series consists of prime numbers starting from 2. The prime number after 11 is 13. So, 13 is the missing number.



                                                    

                        4. 6, 11, 21, 36, 56, (...)

                        (a) 42

                        (b) 51

                        (c) 81 (Ans)

                        (d) 91

                        Ans :  The pattern is + 5, + 10, + 15, + 20, .....

                        ∴ Missing number = 56 + 25 = 81.



                                            

                        5. 1, 6, 13, 22, 33, (...)

                        (a) 44

                        (b) 45

                        (c) 46 (Ans)

                        (d) 47

                        Ans :  The pattern is + 5, + 7, + 9, + 11, ....

                        ∴ Missing number = 33 + 13 = 46.

                         6. 3, 9, 27, 81, (...)

                        (a) 324

                        (b) 243 (Ans)

                        (c) 210

                        (d) 162

                        Ans :  Each term of the given series is obtained by multiplying its preceding term by 3.

                        ∴ Missing number = 81 x 3 = 243.

                         7. 1, 9, 17, 33, 49, 73, (...)

                        (a) 97 (Ans)

                        (b) 98

                        (c) 99

                        (d) 100

                        Ans :  The pattern is + 8, + 8, + 16, + 16, + 24, ...

                        ∴ Missing number = 73 + 24 = 97.

                         8. 2, 5, 9, (...), 20, 27,

                        (a) 14 (Ans)

                        (b) 16

                        (c) 18

                        (d) 24

                        Ans :  The pattern is + 3, + 4, ...

                        ∴ Missing number = 9 + 5 = 14.

                         9. 5, 9, 17, 29, 45, (...)

                        (a) 60

                        (b) 65 (Ans)

                        (c) 68

                        (d) 70

                        Ans :  The pattern is + 4, + 8, + 12, + 16, ...

                        ∴ Missing number = 45 + 20 = 65.



                        10. 3, 7, 15, 31, 63, (...)

                        (a) 92

                        (b) 115

                        (c) 127 (Ans)

                        (d) 131

                        Ans :  Each number in the series is the preceding number multiplied by 2 and then increased by 1.

                        Thus, (3 x 2) + 1 = 7, (7 x 2) + 1 = 15, (15 x 2) 1 = 31 and so on.

                        ∴ Missing number = (63 x 2) + 1 = 127.
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