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Number System: Level 1 Test - 2

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Question 1
A tin of oil was 4/5 full. When six bottles of oil were taken out and four bottles of oil were poured into it, it was 3/4 full. How many bottles of oil can it contain?
A
20
B
10
C
30
D
40
Question 1 Explanation: 
Let the tin oil contain x number of bottles.
(4/5)x – 6 + 4=(3/4)x
x/20 = 2
x= 40 bottles
Question 2
To win an election, a candidate needs 3/4 of the votes cast. If after 2/3 of the votes have been counted, a candidate has 5/6 of counted votes. Then what part of the remaining votes does he still need to ensure that he wins?
A
1/8
B
7/12
C
1/4
D
3/8
Question 2 Explanation: 
Let total number of votes cast be x.
Total number of counted votes =2/3 x
Votes that a candidate got = 5/6 . 2/3 x=5/9x
Votes still need to win = 3/4x-5/9x=7/36x
Remaining uncounted votes= 1/3 x
Required part 7/36.3/1=7/12
Question 3
Find the sum of the place value of 3 in 503535
A
3300
B
0.6
C
60
D
3030
Question 3 Explanation: 
required sum will be = 3000 + 30 = 3030
Question 4
(9992 - 9982) is equal to
A
1
B
999
C
1997
D
998
Question 4 Explanation: 
a2-b2 = (a-b )(a+b)
(9992 - 9982) = (999 - 998) (999 + 998)
=1997
Question 5
1000.01- 99.987 is equal to
A
901.023
B
900.023
C
0.14
D
901.977
Question 5 Explanation: 
1000.01 -99.987=900.023
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