# CAT Quantitative Aptitude: Questions 33 - 40 of 59

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## Question number: 33

» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests

### Question

When 25634 and 25214 are divided by a certain two digit prime number, they leave the same remainder. What is the divisor?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 60 | |

b. | 5 | |

c. | 105 | |

d. | None of the above |

## Question number: 34

» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests

### Question

Number when divided by a divisor leaves a remainder of 26. When thrice the original number is divided by the same divisor, The remainder is 23. what is the value of the divisor?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 54 | |

b. | 53 | |

c. | 56 | |

d. | 55 |

## Question number: 35

### Question

What is the greatest possible length, which can be used to measure exactly the length 1m 80cm, 3m and 60cm?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 40 | |

b. | 45 | |

c. | 20 | |

d. | 60 |

## Question number: 36

» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests

### Question

Find the remainder when is divided by 3?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 1 | |

b. | 3 | |

c. | 0 | |

d. | 5 |

## Question number: 37

» Arithmetic » Numbers and Counting » Factors and Prime Numbers

### Question

The product of two digit numbers is 2106 and their H. C. F. is 9. What are the numbers?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 39 and 78 | |

b. | 13 and 52 | |

c. | 46 and 65 | |

d. | None of the above |

## Question number: 38

» Basic Algebraic Operations » Solving Linear Equations in One Variable

### Question

of a number is 30 more than the original number. The number is ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 340 | |

b. | 220 | |

c. | 240 | |

d. | 160 |

## Question number: 39

» Arithmetic » Numbers and Counting » Remainders and Divisibility Tests

### Question

When a number is divisible by 42, the reminder is 17. What will be the remainder when a number is divided by 14?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 2 | |

b. | 1 | |

c. | 4 | |

d. | 3 |

## Question number: 40

» Arithmetic » Exponents, Roots and Logarithms » Squares and Cubes

### Question

The digit of is________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 12 | |

b. | 4 | |

c. | 2 | |

d. | 5 |