A) 0 | B) 1 |

C) Undefined | D) Indeterminate |

Explanation:

**Indeterminate are those,which mathematics can’t determine.**

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.

**Explanation::**

- Let us think by this analogy that,

0 / 1 = 0

0 / 2 = 0

…………

………..

we can say **0 / n = 0** from this we can write, **0/0 = 0**

- Again, another analogy,(
**from limiting concept of 1/0 = infinity**)

1 / 0 = +*∞* or -*∞*

2 /0 = +*∞* or -*∞*

………

.…….

we can say **0 / 0 = ***∞*

- Again, another analogy,

1 / 1 = 1

2/2 = 1

.……..

………..

we can say, **0/0 = 1**

Now, you see it’s confusing. ** Every analog is mathematically correct then which one is the right answer for 0/0. Therefore Mathematics can’t determine this fact**.

*So, 0/0 is indeterminate.*

A) What type of interest your account earns | B) How often your interest is calculated and added back into your account |

C) What interest rate you can expect from your account | D) How easily you can add money into your account |

Explanation:

**Compounding frequency :**

The time periods when interest will be calculated on top of the original loan amount** (or)** The number of compounding periods in one year.

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

A) 66 | B) 64 |

C) 62 | D) 60 |

Explanation:

We know 1 feet = 12 inches.

According to the question,

5' 4'' = 5 feet 4 inches = 12 x 5 + 4 = 64 inches.

Hence, **5' 4'' = 5 feet 4 inches = 64 inches. **

A) 0 | B) 1 |

C) infinity | D) None of the above |

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

Hence, 0 doesn't have any multiplicative inverse.

A) 1 | B) 0 |

C) 9 | D) Can't be determined |

Explanation:

The given expression can be simplified as

**6 $\xf7$ 2 (1 + 2)**

The expression can be simplified further by the order of operations, using BODMAS rule.

First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.

Now, the expression becomes **6 $\xf7$ 2 (3)**

According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 6 and divide it by 2, and then multiply by 3.

**6 ÷ 2 × 3**

**= 3 × 3**

**= 9**

**But not** 6÷2×3 = 6 ÷ 6 = 1

Hence, **6 ÷ 2 (1 + 2) = 9.**

A) 1 | B) -1/7 |

C) 0 | D) 1/7 |

Explanation:

Multiplicative inverse is nothing but a reciprocal of a number.

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is

7 x n = 1

=> n = 1/7.

Hence, Multiplicative inverse or reciprocal of 7 is **1/7.**

A) 0 | B) 1 |

C) -ve of the number | D) the number itself |

Explanation:

The product of a number and its reciprocal is always equals to **1.**

**For Example :** Let the number be 4.

Now, its reciprocal is 1/4

Hence, required product =** 4 x 1/4 = 1.**

Now, take the number as -15.

Then its reciprocal is -1/15

Required product = **-15 x -1/15 = 1.**

Hence, the product of a number and its reciprocal is **1.**

A) is a flat surface that extends indefinitely in all directions | B) is where other geometric shapes can be constructed |

C) is described generally, not using a formal definition | D) can be named using three noncollinear points |

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

A) 0 | B) 9 |

C) 8 | D) -9 |

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line.

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

Hence, the **absolute value of 9 is 9.**