# Comparison Practice Test 1

#### Q.1

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Two students have to be chosen as monitors in a class of 36. In how many ways can this be done? | In how many ways can two students be chosen as monitors, one from the girls and another from the boys, from a class of 36 if there are 18 girls and 18 boys in the class? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: A

#### Q.2

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Find the total ways in which six objective type questions can be answered when each question has 5 choices | There are 5 multiple choice questions in an exam. How many sequences of answers are possible if the first question has 3 choices, next two have 4 choices and the last two have 5 choices? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: A

#### Q.3

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How many three-digit numbers can be formed from the digits 1, 2, 4 and 9? | How many three-digit numbers can be formed without using the digits 0, 3,5,6,7 and 8? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: C

#### Q.4

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In how many ways can a teacher give three duties A, B and C to three different students who are equally capable of performing each job? | Find the total ways in which three posts can be filled by three candidates? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: C

#### Q.5

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In how many ways can 3 prizes be distributed among 5 boys if no boy can get more than one prize? | In how many ways can 5 prizes be distributed among the students of a school? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: D

#### Q.6

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The letters of the word PROMISE have to be arranged so that no two vowels come together. Find the number of arrangements. | How many words can be formed from the letters I, N, U, R, E, V, L, A and S? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: B

#### Q.7

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Sunita has to buy five pens of different companies. There are products of 8 companies available in the shop. In how many ways can she make her purchases? | Shelly has to buy four pens of different companies. There are products of 7 companies available in the shop. In how many ways can she make her purchases? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: A

#### Q.8

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There are 5 buses running between two cities A and B. In how many ways can a man go by one bus and return by a different bus? | There are 5 buses running between two cities A and B. In how many ways can a man go by one bus and return by any of the five buses? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: B

#### Q.9

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How many three digit odd numbers can be made from the digits 1, 4, 5, 6,7and 8 when any of the digits can be repeated? | How many three digit even numbers can be made from the digits 1, 4, 5, 6,7and 8 when any of the digits can be repeated? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: c

#### Q.10

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How many two-digit even numbers can be formed using the digits 2, 3, 4 and 5 when repetition is allowed? | How many two-digit even numbers can be formed using the digits 2, 3, 4 and 5 when repetition is not allowed? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: A

#### Q.11

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How many different words can be formed using the alphabets I, I, H, O, N and R? | Find the number of 4-letter words, with or without meanings that can be formed using the letters of the word NUMBER. Any letter can not appear more than once in a word. |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: C

#### Q.12

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How many numbers less than 1000 can be formed using the digits 0, 2, 3 and 4 when repetition is allowed and 0 can not be considered a one digit number? | How many three-digit numbers can be formed using the digits 1, 2, 3 and 4 when repetition is allowed? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: B

#### Q.13

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20 students are participating in a drawing competition. In how many ways can the first three and two consolation prizes be given? | 2 x 2 x 5 x 19 x 3 x 3 x 2 x 17 x 2 x 2 x 2 x 2 |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: C

#### Q.14

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There are 5 items in column A and 5 items in column B. A student is asked to match the columns. How many possible answers can he give? | There are 6 items in column A and 6 items in column B. A student is asked to match the columns. How many possible wrong answers can he give? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: B

#### Q.15

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From a class of 27 boys and 14 girls, the teacher wants to select 1 boy and 2 girls to represent the school in a function. In how many ways can she make the choice? | From a class of 27 boys and 14 girls, the teacher wants to select 2 boys and 1 girl to represent the school in a function. In how many ways can she make the choice? |

- A. The quantity on the left is greater
- B. The quantity on the right is greater
- C. Both are equal
- D. The relationship cannot be determined without further information
- Answer: B