# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 112 - 118 of 119

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## Question number: 112

» Mathematics » Number Systems

### Question

The sum of any three distinct natural numbers arranged in ascending order is 200 such that the second number is a perfect cube. How many possible values are there for this number?

### Choices

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

a. | 4 | |

b. | 2 | |

c. | 3 | |

d. | 1 |

## Question number: 113

» Mathematics » Basic Geometry

### Question

ABCD is a quadrilateral whose diagonals intersect each other at the point O such that OA = OB = OD. If ∠OAB = 30°, then the measures of ∠ODA is

### Choices

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

a. | 60° | |

b. | 90° | |

c. | 45° | |

d. | 30° |

## Question number: 114

» Mathematics » Arithmetic

### Question

The value of the expression is

### Choices

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

a. | 3 | |

b. | 2 | |

c. | -2 | |

d. | 4 |

## Question number: 115

» Mathematics » Number Systems

### Question

If the digits of a three-digit number are reversed, then the number, so obtained is less than the original number by 297. If the sum of the digits of the number is 8 and its hundred’s digit has the largest possible value, then the ten’s digit of the number is

### Choices

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

a. | 0 | |

b. | 1 | |

c. | 2 | |

d. | 3 |

## Question number: 116

» Mathematics » Statistics

### Question

For the data 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, …, 9, 9, the product of mean and mode equals to

### Choices

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

a. | 9 | |

b. | 285 | |

c. | 57 | |

d. | 45 |

## Question number: 117

» Mathematics » Number Systems

### Question

If the sum of three consecutive odd numbers is a perfect square between 200 and 400, then the root of this sum is

### Choices

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

a. | 16 | |

b. | 15 | |

c. | 18 | |

d. | 19 |

## Question number: 118

» Mathematics » Number Systems

### Question

If aabb is a four-digit number and also a perfect square, then the value of a + b is

### Choices

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

a. | 9 | |

b. | 10 | |

c. | 12 | |

d. | 11 |