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4th December 2014, 04:05 PM
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| Re: Indian Navy Physical Standards Requirement
Indian naval service involves one of the highly disciplined procedures and criteria's for candidate’s selection. First of all you must be an Indian citizen with valid documents and must be unmarried. For different entrance exams like National defense exam, CDSE the service has framed rules. Physical Standards The physical Standards for a candidate to join to Indian Army is Should have a minimum height of 160 cm The weight must be in relation to the height that is minimum 52 kg. Your chest should be 77 cm and the expansion should be minimum 5 cm You should be able to run 5 km with in 25 minutes You should be able to do Long jump, high jump, short put, climbing etc. Eye standard: Without glasses better eye 6/6 and worse 6/9 Visual Standard for Indian Navy Officers Entry Executive Branch Image  Technical Branch Image  Indian-Navy Placement Question Paper Indian Navy logarithm and number series questions for practice Logarithm: If a is a positive real number, other than 1 and am = x, then we write: m = logax and we say that the value of log x to the base a is m. Examples: (i). 103 1000 log10 1000 = 3. (ii). 34 = 81 log3 81 = 4. (iii). 2-3 ,1/8 log2 1/8 = -3. (iv). (.1)2 = .01 log(.1) .01 = 2. Properties of Logarithms: 1. loga (xy) = loga x + loga y 2. loga (x/y)= loga x - loga y 3. logx x = 1 4. loga 1 = 0 5. loga (xn) = n(loga x) 6. loga x = 1/logx a 7. loga x = logb x/logb a = log x ./ log a Common Logarithms: Logarithms to the base 10 are known as common logarithms. The logarithm of a number contains two parts, namely 'characteristic' and 'mantissa'. Characteristic: The internal part of the logarithm of a number is called its characteristic. Case I: When the number is greater than 1. In this case, the characteristic is one less than the number of digits in the left of the decimal point in the given number. Case II: When the number is less than 1. In this case, the characteristic is one more than the number of zeros between the decimal point and the first significant digit of the number and it is negative. Instead of -1, -2 etc. we write 1 (one bar), 2 (two bar), etc. Examples:- Number Characteristic Number Characteristic 654.24 2 0.6453 1 26.649 1 0.06134 2 8.3547 0 0.00123 3 Mantissa: The decimal part of the logarithm of a number is known is its mantissa. For mantissa, we look through log table. 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. |