# A-AS Level (CIE) Mathematics Paper-1: Specimen Questions with Answers 18 - 20 of 20

Glide to success with Doorsteptutor material for Bank-PO : get questions, notes, tests, video lectures and more- for all subjects of Bank-PO.

## Question 18

### Question

MCQ▾A rectangle with sides and is divided into squares of unit length by drawing Parallel lines as shown in the diagram then the number of rectangles possible with odd side length is

### Choices

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

a. | |

b. | |

c. | |

d. |

### Answer

c.### Explanation

**Combination**:

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

There are vertical and horizontal lines

To get required rectangle, we should select two horizontal lines one even numbered and one odd numbered similarly two vertical lines.

The number of rectangles is then

i.e.. ,

Subtopic: Fundamental principle of counting

## Question 19

### Question

MCQ▾If , is equal to ________

### Choices

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

a. | |

b. | 1 |

c. | 0 |

d. |

### Answer

c.### Explanation

**Definite Integral Definition**:

The definite integral of a real-valued function with respect to a real variable on an interval is expressed as . Here, Integration symbol, Lower limit, Upper limit, Integrand, Integrating agent

Subtopic: Evaluation of definite integrals

## Question 20

### Question

MCQ▾________

### Choices

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

a. | |

b. | |

c. | |

d. |

### Answer

d.### Explanation

**Integration as an Inverse Process of Differentiation**:

More generally, if there is a function such that , then for any arbitrary real number , (also called constant of integration)

Thus, denotes a family of anti-derivatives of .