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## Number System

Congratulations - you have completed *Number System*.

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Question 1 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

12:12 PM | |

12:10 PM | |

None of these | |

12:11 PM |

LCM of 48 and 50 secs.

48 = 2*2*2*2*3;

50 = 2*5*5;

LCM = 2*2*2*2*3*5*5 = 1200 secs

= 20 min.

They will beep together at 12:20.

Question 2 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

52 | |

46 | |

42 | |

40 |

2nd no. = x (let)

3rd no. = x+2

4th no. = x+x+2 = 2x+2

5th no. = x+2 + 2x+2 = 3x+4

Sixth no.,

3x+4 + 2x+2 = 26

5x = 20

x = 4

7th no. = 26 + 3x+4 = 26 + 3*4+4 = 42.

Question 3 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

^{th}as long as the rest of the string, then the difference between the larger piece and the shorter piece is :

53 m | |

85 m | |

76 m | |

58 m |

Now,

x + (9x/4) = 221 m

x = 68 meter

and, (9x/4) = 153 m

Difference between two parts = 153 - 68 = 85m.

Question 4 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

18 | |

11 | |

28 | |

26 |

Note: 1 is not a prime number.

**Definition :** A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.

Question 5 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

^{6n}- 6

^{6n}, where n is an integer >0, is divisible by

All of these | |

127 | |

13 | |

559 |

7^{6n}-6^{6n} = 7^{6} -6^{6}

= (7^{3})^{2}-(6^{3})^{2}

= (7^{3}-6^{3})( 7^{3}+6^{3})

= (343-216)*(343+216)

= 127*559.

= 127 * 13 *43.

Clearly, it is divisible by 127, 13 as well as 559.