# Arithmetic Reasoning

## Arithmetic Reasoning

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Question 1 |

The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

71 years | |

72 years | |

74 years | |

77 years |

Question 1 Explanation:

Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

Question 2 |

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

Rs. 4, Rs. 23 | |

Rs. 13, Rs. 17 | |

Rs. 15, Rs. 14 | |

Rs. 17, Rs. 13 |

Question 2 Explanation:

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.

Question 3 |

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

2/13 | |

13/40 | |

Data inadequate | |

None of these |

Question 4 |

A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?

22 | |

23 | |

24 | |

25 |

Question 4 Explanation:

Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

Question 5 |

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?

Thumb | |

Index finger | |

Middle finger | |

Ring finger |

Question 5 Explanation:

Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,.....
i.e. numbers of the form (8n + 1).
Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.

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