# Mathematics-Pair of Linear Equations in Two Variables [NSTSE (National Science Talent Search Exam- Unified Council) Class 10]: Questions 1 - 7 of 68

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## Question 1

### Question

MCQ▾For the equations

### Choices

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

a. | There exists unique solution | |

b. | There are two solutions | |

c. | There are infinite number of solutions. | |

d. | There is no solution |

## Question 2

### Question

MCQ▾The ratio between a two digit number and the sum of digits if that number is 4: 1 . If the digit in the unit place is 3 more than the digit in the tenth place, what is that number?

### Choices

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

a. | Insufficient data | |

b. | 24 | |

c. | 36 | |

d. | 63 |

## Question 3

### Question

MCQ▾The product of two numbers is 12960 and their HCF is 36. How many pairs of such numbers can be find?

### Choices

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

a. | 5 | |

b. | 3 | |

c. | 4 | |

d. | 2 |

## Question 4

### Question

MCQ▾Given the fractions and are unequal if:

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 5

### Question

MCQ▾The solution of the system of the equations and (where is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 6

### Question

MCQ▾The denominator of a rational number is greater than its numerator by 5. If 4 is subtracted from the numerator and 3 is added to the denominator, the new number becomes then the original number was,

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 7

### Question

MCQ▾For what value of p does the system of equations , has non zero solution?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |