### Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

## Q1. | ## If 2 |

1) | 3:2 | 2) | 2:3 |

3) | 3:1 and 1:2 | 4) | 5:6 |

5) | None of these |

**Answer : 3:1 and 1:2**

**Explanation :**Given, 2

*x*

^{2 }-7

*xy +*3

*y*

^{2 }= 0

or 2(x/y)

^{2}-7(x/y)+ 3 = 0So,

*x/y*=3/1 and*x/y*=1/2**View Answer**

## Q2. | ## If |

1) | + only | 2) | - only |

3) | + or - | 4) | Can't be said |

5) | None of these |

**Answer : - only**

**View Answer**

## Q3. | ## If |

1) | x2+2x+8=0 | 2) | x2-4x+8=0 |

3) | x2-24x+128=0 | 4) | 2x2+8x+9=0 |

5) | None of these |

**Answer : x2-24x+128=0**

**Explanation :**Given,

*a+b*=24 and

*a-b*= 8

So,solving from two equations,we get

*a*=16 and*b*=8Therefore,

*ab*=16 x 8 = 128Quadratic equations

*x*

^{2}- ( sum of roots)

*x*+ products of the roots = 0

or

*x*^{2}-24*x*+128 = 0**View Answer**

## Q4. | ## What is the value of 'P' , if the following equation has two equal roots ?^{2} - (P-2)x + 1 = 0 |

1) | P=6 or P=-2 | 2) | P=4 or P=-3 |

3) | P=6 or P=-3 | 4) | P=4 or P=2 |

5) | None of these |

**Answer : P=6 or P=-2**

**Explanation :**Here, a=4,b= - (P-2); c=1

Given, equation has equal roots,then D=0

b

^{2}- 4ac =0or p

^{2}+4 - 4p - 16 = 0or p

^{2}- 6p +2p - 12 =0or p(p-6) + 2(p-2) = 0

or p=6 or -2

**View Answer**