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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  flavor bonbons only. 10% of the bonbons are Strawberry flavored, 90% of the rest are squashed.  What percentage of the bonbons is vanilla flavored that are not squashed?
A
9%
B
5%
C
1%
D
10%
Question 1 Explanation: 
Let there be 100 bonbons.  10 bonbons are Strawberry
flavored.  90 bonbons are vanilla flavored.  81 bonbons are
squashed.  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
A
72
B
54
C
63
D
81
Question 2 Explanation: 
Let the two-digit number = xy
= 2(10x+y) =9(10y+x)
=> 88y -11x = 0…………………1
Also, x + y = 9 …………………   2
Solving Eqs. (i) and (ii), we get  x = 8 and y =1 
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
A
80
B
96
C
100
D
128
Question 3 Explanation: 
Let there are r rows and x students in each row. .. (x + 4) x (r – 4) = x * r
=>x * r – 4x + 4r -16 = x * r
=>- 4x + 4r = 16 … (i)
And(x – 2) * (r + 4) = x * r
=> x*r+4x-2r-8=x*r
=> 4x-2r=8 … (ii
Adding Eqs. (i) and (ii),
2r=24
=> r = 12
:. From Eq. (ii), 4x – 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  the total number of swans?
A
10
B
14
C
12
D
16
Question 4 Explanation: 
Let the total number of swans be x. 
The number of swans playing on shore =7/2@x @ means  square  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.
A
25 L
B
30 L
C
35 L
D
40 L
Question 5 Explanation: 
Let the capacity of the fuel tank be x L.
Given x/5+22 = 3/4 x
(3/4 – 1/5 )x=22
11/20x=22
X= 40L
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