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Number System: Decimals and Fractions Test-2

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Question 1
If p = 0.009 and q =0.0009 then what will be the value of p x q
A
0.000081
B
 81 x 10-5
C
0.00081
D
0.0000081
Question 1 Explanation: 
Simply first multiply 9 by 9 and then count the number of digits after the decimal value
The number of digits after the decimal of both the numbers is the actual position of decimal in the result of their multiplication: 0.009 x 0.0009 = 0.0000081
Question 2
If P= (0.008 +6.987+0.8+55.986-5.5-4.76),  then the value of P in fractions will be
A
(53521 / 1000)
B
(53522/1000)
C
(53521/100)
D
(535521/1000)
Question 2 Explanation: 
=> (0.008 +6.987+0.8+55.986) = 63.781
=>(-5.5-4.76) = -10.26
=> 63.781-10.26 = 53.521
So the right answer is option A
Question 3
Which is the greatest among the following numbers?
A
½
B
19/29
C
689/987
D
899/999
Question 3 Explanation: 
Just divide each of the following extract the decimal form and get the answer as option D
899/999 = 0.89
689/987 = 0.67
19/29 = 0.65
½ =0.5
Question 4
If numerator of any fraction is increased by 1 it becomes equal to 1/2 and if we decrease 2 from the denominator of the original fraction then it also remains same,  then the fraction is:
A
11/22
B
1/2
C
3/4
D
7/16
Question 4 Explanation: 
Option 1: 11/22 is already equal to ½ but in the statement we are given that when the fraction is increased by 1 in the numerator then it becomes ½. This is not possible in the given case.
½ is not the right choice because when we increase 1 with 1, then it becomes 2 and numerator will become 2 and the fraction will convert into the natural number 1
¾ same as in case of ½
7/16 is the right answer (7+1)/16 =1/2 and 7/14=1/2
Question 5
Which of the following has the least value?
A
29/2291
B
23/1357
C
19/1691
D
none
Question 5 Explanation: 
Option A is 29/2291 = 1/79
Option B is 23/1357 = 1/59
Option  C is 19/1691 = 1/89
Out of the above, clearly option C is the lowest value.
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