# Exams

51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

= **It is in the form of $\frac{n(n+1)}{2}seriessummation$**

= n1 = 100 , n2 = 50

=$\left[\frac{{\displaystyle 100\left(100+1\right)}}{{\displaystyle 2}}\right]-\left[\frac{50\left(50+1\right)}{2}\right]$

= **(5050 - 1275) = 3775**

A) 2109 | B) 3109 |

C) 4109 | D) 6109 |

Explanation:

Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.

Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]

=Rs. [8000 * (23/20) * (23/20) * (21/20)]

= Rs. 11109. .

:. C.I. = Rs. (11109 - 8000) = Rs. 3109.

A) 2.875 | B) 3.875 |

C) 4.875 | D) 5.875 |

Explanation:

ANS: log_{5}512 = log512/log5 = $\frac{\mathrm{log}{2}^{9}}{\mathrm{log}\left(10/2\right)}$ =$\frac{9\mathrm{log}2}{\mathrm{log}10-\mathrm{log}2}$ =$\frac{9*0.3010}{1-0.3010}$ =2.709/0.699 =2709/699 =3.876

A) Rongali Bihu | B) Onam |

C) Pongal | D) Navratri |

Explanation:

**Onam** is an annual Hindu festival with origins in the state of Kerala in India. It falls in the Malayalam calendar month of Chingam, which in Gregorian calendar overlaps with August–September. In this festival, boat races are famous.

A) Compiler | B) Loader |

C) Operating system | D) Assembler |

Explanation:

An operating system is the system software that handles the software and hardware resources and provides services for the computer programs. SO without an operating system, a computer cannot "boot".

A) 10000 | B) 20000 |

C) 40000 | D) 50000 |

Explanation:

Let sum=Rs.x

C.I. when compounded half yearly = $\left[x{\left(1+\frac{10}{100}\right)}^{4}-x\right]=\frac{4641}{10000}$

C.I. when compounded annually =$\left[x{\left(\frac{20}{100}\right)}^{2}-x\right]=\frac{11}{25}$

$\frac{4641}{10000}x-\frac{11}{25}x=482$

=> x=20000

A) Supreme Court | B) Parliament |

C) Constitution | D) President |

Explanation:

The Judiciary is the guardian of fundamental Rights enumerated in Indian Constitution.

In a criminal case, the judge has the power to decide whether the accused's rights have been violated.

As with most disputes, the courts decide when a right has been violated. They then have the power to act in order.

Here the Supreme Court is tyhe Highest of the Judiciary in India.

A) Tracking | B) Formatting |

C) Crashing | D) Allotting |

Explanation:

The process of dividing the disk into tracks and sectors is called as **formatting.**