# Mathematics-Algebraic Expressions (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 8 of 8

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## Question number: 1

» Mathematics » Algebraic Expressions

### Question

What can be said about the expansion of 2 ^{12n} - 6 ^{4n}, where *n * is a positive integer?

### Choices

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

a. | Last digit is 8 | |

b. | Last digit is 2 | |

c. | Last digit is 4 | |

d. | Last two digits are zero |

## Question number: 2

» Mathematics » Algebraic Expressions

### Question

If

and

, then what is the value of

?

### Choices

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

a. | 4 | |

b. | 5 | |

c. | 2 | |

d. | 0 |

## Question number: 3

» Mathematics » Algebraic Expressions

### Question

If and , then the value of is

### Choices

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

a. | 18 | |

b. | 48 | |

c. | 38 | |

d. | 28 |

## Question number: 4

» Mathematics » Algebraic Expressions

### Question

If , then what is the value of where,

?

### Choices

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

a. | -1 | |

b. |
| |

c. | 1 | |

d. | All of the above |

## Question number: 5

» Mathematics » Algebraic Expressions

### Question

If then the value of is

### Choices

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

a. | 322 | |

b. | 114 | |

c. | 364 | |

d. | 927 |

## Question number: 6

» Mathematics » Algebraic Expressions

### Question

A field is in the form of circle. The cost of ploughing the field at Rs. 1.50 per m^{2} is Rs. 5775. The cost of fencing the field at Rs. 8.50 per m is

### Choices

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

a. | Rs. 2870 | |

b. | Rs. 1870 | |

c. | Rs. 1970 | |

d. | Rs. 2970 |

## Question number: 7

» Mathematics » Algebraic Expressions

### Question

If , then what is the value of ?

### Choices

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

a. | 1 | |

b. | -3 | |

c. | 3 | |

d. | 0 |

## Question number: 8

» Mathematics » Algebraic Expressions

### Question

Consider the following statements.

I. The product of any three consecutive integers is divisible by 6.

II. Any integer can be expressed in one of the three forms 3k_{, }3k + l, 3k + 2, where k is an integer.

Which of the above statements is/are correct?

### Choices

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

a. | Only I | |

b. | Only II | |

c. | I and II | |

d. | Neither I nor II |