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## Algebra Level 1 Test 4

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*Algebra Level 1 Test 4*. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

One-fourth of Nikhil's money is equal to one-sixth of Yogesh’s money. If both together have Rs. 600, what is the difference between their amounts?

Rs. 160 | |

Rs. 240 | |

Rs. 200 | |

Rs. 120 |

Question 1 Explanation:

Let the money owned by Nikhil = p

Let the money owned by Yogesh = q

P + q =600 ……………………..1

p/4 = q/6 ………………………..2

From equation 2

p = 2q/3

and From equation (1)

2q/3 + p = 600

p = 600 – 360 = Rs. 240

Let the money owned by Yogesh = q

P + q =600 ……………………..1

p/4 = q/6 ………………………..2

From equation 2

p = 2q/3

and From equation (1)

2q/3 + p = 600

p = 600 – 360 = Rs. 240

Question 2 |

If 5 students utilize 18 pencils in 9 days, how long at the same rate will 66 pencils last for 15 students?

10 days | |

12 days | |

11 days | |

None of these |

Question 2 Explanation:

Required days will be

9 x 5/15 x 66/18 = 11 days

9 x 5/15 x 66/18 = 11 days

Question 3 |

The priest told the devotee, "The temple bell is rung at regular intervals of 45 min. The last bell was rung 5 min ago. The next bell is due to be rung at 7 : 45 am". At what time did the priest give this information to the devotee?

7:00 am | |

7:05 am | |

7:40 am | |

6:55 am |

Question 3 Explanation:

Given that the bell is rung at an interval of 45 min.

And the Next bell is due to be rung at 7:45 am.

Also , last bell rung at 7:00 am. So priest gave his information at 7.05

And the Next bell is due to be rung at 7:45 am.

Also , last bell rung at 7:00 am. So priest gave his information at 7.05

Question 4 |

There are two identical vessels X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold ½ a litre of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?

10 L | |

20 L | |

40 L | |

20 ^{ 3}/_{4 } L |

Question 4 Explanation:

Water transferred in one operation = ¼ l

i.e from Y to X Therefore total quantity of water transferred in 40 operations = ¼ ( 40) = 10l

Therefore the total volume would be 10 x 2 = 20 L

i.e from Y to X Therefore total quantity of water transferred in 40 operations = ¼ ( 40) = 10l

Therefore the total volume would be 10 x 2 = 20 L

Question 5 |

Anil is at present one-fourth the age of his father. After 16 yr, he will be one-half age of his father. Find the present age of Anil's father?

40 yr | |

36 yr | |

32 yr | |

28 yr |

Question 5 Explanation:

Let the present age = a year

Therefore Anil’s age = a/4

a/4 + 16 = ½ (a + 16)

on solving a = 32 years

Therefore Anil’s age = a/4

a/4 + 16 = ½ (a + 16)

on solving a = 32 years

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