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## Number System: Level 2 Test -12

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Question 1 |

Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22 and 30 seconds respectively. In how much time will they meet again at the starting point?

8 minutes 15 seconds | |

21 minutes | |

16 minutes 30 seconds | |

12 minutes |

Question 1 Explanation:

They would meet after LCM(18,22,30)= 990 secs = 16 mins 30 secs.

Correct option is (c)

Correct option is (c)

Question 2 |

In a two digit number the digit in the unitâ€™s place is twice the digit in the tenâ€™s place and the number obtained by interchanging the digits is more than the original number by 27. What is 50% of the original number?

36 | |

63 | |

48 | |

18 |

Question 3 |

The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

4 | |

9 | |

3 | |

Cannot be determined |

Question 3 Explanation:

Let the number be of form 10x+y.

Thus ,

x+y= 4.

The possible cases are 40,31,22.

Only 40 satisfies the condition. Thus the correct answer is (a)

Thus ,

x+y= 4.

The possible cases are 40,31,22.

Only 40 satisfies the condition. Thus the correct answer is (a)

Question 4 |

On a particular day, sweets were to be equally distributed among 495 students of a school. However, on that particular day 396 students from a nearby school also joined them. Hence each student present on that day got four sweets less. How many sweets were distributed?

5445 | |

4950 | |

4455 | |

3960 |

Question 4 Explanation:

Let them originally receive x sweets each.

Total sweets distributed = 495x.

495x=(495+396)(x-4)

=> x=9

Thus total sweets = 495X9 =4455

Correct option is (c)

Total sweets distributed = 495x.

495x=(495+396)(x-4)

=> x=9

Thus total sweets = 495X9 =4455

Correct option is (c)

Question 5 |

The students present in an auditorium are asked to stand in rows. If there were 4 students extra in a row there would be 4 less rows. However, if 2 students were less in a row, there would be 4 more rows. The number of students present in the auditorium is

80 | |

96 | |

100 | |

128 |

Question 5 Explanation:

Let the number of students in each row be x and rows be y.

Thus xy =(x+4)(y-4)

xy=(x-2)(y+4)

x=8 and y=12

The number of students is = 8*12=96

Correct option is (b)

Thus xy =(x+4)(y-4)

xy=(x-2)(y+4)

x=8 and y=12

The number of students is = 8*12=96

Correct option is (b)

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