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## Number System: Level 2 Test -1

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Question 1 |

In a Ice-cream store, there are vanilla and Strawberry Â flavor bonbons only. 10% of the bonbons are Strawberry flavored, 90% of the rest are squashed.Â What percentage of the bonbons is vanilla flavored that are not squashed?

9% | |

5% | |

1% | |

10% |

Question 1 Explanation:

Let there be 100 bonbons. Â 10 bonbons are Strawberry

flavored.Â 90 bonbons are vanilla flavored.Â 81 bonbons are

squashed. Â So, 9 bonbons of vanilla flavored are not

squashed.

:. Required percentage = 9%

flavored.Â 90 bonbons are vanilla flavored.Â 81 bonbons are

squashed. Â So, 9 bonbons of vanilla flavored are not

squashed.

:. Required percentage = 9%

Question 2 |

Twice a two-digit number is 9 times the number obtained by reversing its digits and the sum of its digits is 9. Find the number

72 | |

54 | |

63 | |

81 |

Question 2 Explanation:

Let the two-digit number = xy

= 2(10x+y) =9(10y+x)

=> 88y -11x = 0â€¦â€¦â€¦â€¦â€¦â€¦â€¦1

Also, x + y = 9 â€¦â€¦â€¦â€¦â€¦â€¦â€¦Â Â 2

Solving Eqs. (i) and (ii), we getÂ x = 8 and y =1Â

So, the number is 81.

= 2(10x+y) =9(10y+x)

=> 88y -11x = 0â€¦â€¦â€¦â€¦â€¦â€¦â€¦1

Also, x + y = 9 â€¦â€¦â€¦â€¦â€¦â€¦â€¦Â Â 2

Solving Eqs. (i) and (ii), we getÂ x = 8 and y =1Â

So, the number is 81.

Question 3 |

The students present in an auditorium arranged in the row. If there were 4 students extra in each row there would be 4 less rows. However, if there are 2 students less in each row, then there would be 4 more rows. Find the number of student present in the auditorium

80 | |

96 | |

100 | |

128 |

Question 3 Explanation:

Let there are r rows and x students in each row. .. (x + 4) x (r â€“ 4) = x * r

=>x * r â€“ 4x + 4r -16 = x * r

=>- 4x + 4r = 16 â€¦ (i)

And(x â€“ 2) * (r + 4) = x * r

=> x*r+4x-2r-8=x*r

=> 4x-2r=8 â€¦ (ii

Adding Eqs. (i) and (ii),

2r=24

=> r = 12

:. From Eq. (ii), 4x â€“ 24 = 8

=> 4x = 32

=> x=8

Now we have the value of r is 12 and the value of x is 8

so the number of students in the auditorium are 96

=>x * r â€“ 4x + 4r -16 = x * r

=>- 4x + 4r = 16 â€¦ (i)

And(x â€“ 2) * (r + 4) = x * r

=> x*r+4x-2r-8=x*r

=> 4x-2r=8 â€¦ (ii

Adding Eqs. (i) and (ii),

2r=24

=> r = 12

:. From Eq. (ii), 4x â€“ 24 = 8

=> 4x = 32

=> x=8

Now we have the value of r is 12 and the value of x is 8

so the number of students in the auditorium are 96

Question 4 |

Out of a group of swans, 7/2 times the square root of total number of swans are playing on the shore of the pond. The remaining two are inside the pond. Find Â the total number of swans?

10 | |

14 | |

12 | |

16 |

Question 4 Explanation:

Let the total number of swans be x.Â

The number of swans playing on shore =7/2@x @ meansÂ squareÂ root)

Number of remaining swans = 2

Now .. x=7/2@x+2, (x - 2)=7/2@x

Now, among the options only x = 16 satisfies.

The number of swans playing on shore =7/2@x @ meansÂ squareÂ root)

Number of remaining swans = 2

Now .. x=7/2@x+2, (x - 2)=7/2@x

Now, among the options only x = 16 satisfies.

Question 5 |

The fuel in tank contain 1/5 of the total capacity of the tank. When 22 more liters of fuel are poured into the tank, the indicator rests at the three-fourth of the full mark. Find the capacity of the fuel tank.

25 L | |

30 L | |

35 L | |

40 L |

Question 5 Explanation:

Let the capacity of the fuel tank be

Given x/5+22 = 3/4 x

(3/4 â€“ 1/5 )x=22

11/20x=22

X= 40L

*x*L.Given x/5+22 = 3/4 x

(3/4 â€“ 1/5 )x=22

11/20x=22

X= 40L

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