### Mathmetics

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

## Q61. |

1) | 0 | 2) | 1 |

3) | 2 | 4) | 3 |

5) | None of these |

**Answer : 3**

**Explanation :**

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## Q62. |

1) | 21 | 2) | 23 |

3) | 25 | 4) | 27 |

5) | None of these |

**Answer : 23**

**Explanation :**We know that,

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## Q63. |

1) | 1 | 2) | 2 |

3) | 4 | 4) | 5 |

5) | None of these |

**Answer : None of these**

**Explanation :**

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## Q64. | ## a |

1) | z | 2) | x |

3) | c | 4) | c |

**Answer : z**

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## Q65. | ## A rectangular carpet has an area of 60m |

1) | 5m | 2) | 12m |

3) | 15m | 4) | 24m |

5) | None of these |

**Answer : 12m**

**Explanation :**Given,

*lb*= 60 m

^{2}

and

*d*^{2 =}*l*^{2}+*b*^{2 }and^{ }*d*+ l = 5*b*or

*d =*5*b - l*So,

*d*^{2}= 25*b*+^{2}*l*^{2}- 10*bl*or

*l*^{2}+*b*^{2}= 25*b*^{2}+*l*^{2}- 10 x 60or 24

*b*^{2}= 600or

*b*= 5Therefore,

*l*= 60/5 = 12 m**View Answer**

## Q66. | ## The length of a rectangular plot of land is three times as much as its breadth. A playground measuring 1200 sq. ft. occupies one-forth of the total area of the plot.What is the length of the plot ? |

1) | 40 | 2) | 120 |

3) | 360 | 4) | Data Inadequate |

5) | None of these |

**Answer : 120**

**Explanation :**Let, the length of and breadth of the rectangular plot of land be 3

*x*and

*x*respectively.

Total area of the plot = 4 x 1200 = 1200 sq. ft.

So, 3

*x*x*x =*4800or

*3x*4800^{2}=or x = 40 ft.

Therefore length = 3 x 40 =120 ft.

**View Answer**

## Q67. | ## The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, then what would be the difference of the larger and smaller numbers ? |

1) | 2 | 2) | 3 |

3) | 4 | 4) | 6 |

5) | None of these |

**Answer : 4**

**Explanation :**Let, the larger and smaller numbers are x and y respectively.

x

^{2}+ y^{2}= 208 --------- (i)x

^{2}= 18yor x

^{2}- 18y = 0 -------- (ii)Equating from both equation,we get

y

^{2}+18y - 208 = 0or y

^{2}+ 26y - 8y - 208 = 0or y (y+26) - 8 (y + 26) = 0

or y = 8 so, x = 12

Therefore, x-y = 12 - 8 = 4

**View Answer**

## Q68. | ## What is the remainder when 13 |

1) | 0 | 2) | 3 |

3) | 5 | 4) | 8 |

5) | None of these |

**Answer : 0**

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## Q69. | ## What would be the maximum value of Q in the equation ? |

1) | 4 | 2) | 6 |

3) | 8 | 4) | 9 |

5) | None of these |

**Answer : 8**

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## Q70. | ## What should be the remainder when 2 |

1) | 1 | 2) | 11 |

3) | 99 | 4) | 100 |

5) | None of these |

**Answer : 99**

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