Decimals and Fractions


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Practice Questions - Decimals and Fractions

Q8) The rational number, which equals the number 0.8055555--- with recurring decimal is
1) 30/37
2) 29/36
3) 26/33
4) 33/41


Hence, option 2.


Q9) What is the fractional value of 2.385385385---
1) 2383/999
2) 2383/1001
3) 2385/999
4) 2385/1001

2.385385385--- = 2 + 0.385385385---

Hence, option 1.


Q10) A women goes for shopping with R rupees in her purse, she spends 1/3rd of her money on buying clothes, then spends 1/4th of the remaining money to watch a movie. She is left with Rs 150 in her purse. Find the value of R?
1) 360
2) 900
3) 960
4) 300

Money spent on clothes = R/3
Money left with her = R - R/3 = 2R/3
Money spent to watch a movie = 1/4th of 2R/3. Hence, she is left with 3/4th of 2R/3 i.e. 3/4th of 2R/3
Money left with her = (3/4)(2R/3) = R/2
According to question, she is left with Rs 150
Therefore, R/2 = 150
R = 300
Hence, option 4.


Q11) What is the fractional value of 0.abcbcbcbc...
1)
2)
3)
4)

Hence, option 4.


Q12) A women goes for shopping, and spends 1/6th of her income and is left with Rs 100. Find her income?
1) Rs 600
2) Rs 500
3) Rs 120
4) Rs 180

Let us suppose that her income is Y.
Income spent = Y/6
Amount left with her = Income – Amount Spent = Y – Y/6 = 5Y/6
According to question, she is left with Rs 100
Therefore, 5Y/6 = 100
Y = 120
Hence, option 3.


Q13) A,B,C, and D purchase a gift worth Rs 60. A pays 1/2 of what others are paying. B pays 1/3rd of what others are paying and C pays 1/4th of what others are paying. What is the amount paid by D?
1) Rs 14
2) Rs 15
3) Rs 16
4) Rs 13

As A pays 1/2 of what others are paying, so A pays 1/3 of the total = Rs 20
As B pays 1/3rd of what others are paying, so B pays 1/4 of the total = Rs 15
As C pays 1/4 of what others are paying, so C pays 1/5 of the total = Rs 12
Amount paid by D = 60 – (20 + 15 + 12) = Rs 13
Hence, option 4.


Q14) If the fraction a/b is positive, then which of the following must be true?
1) a > 0
2) ab > 0
3) b > 0
4) a + b > 0

For the fraction a/b to be positive, ab > 0 must be true.
Hence, option 2.


Q15) If then find the value of
1) 730/77
2) 73/77
3) 73/770
4) 703/77

Put x = 0.04,y = 1.5

Hence, option 2.









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