Decimal Fraction problems
- 1. Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?
Options- A. 3 / 5
- B. 4 / 5
- C. 7 / 5
- D. 9 / 5 Discuss
Correct Answer: 4 / 5
Explanation:
3 /4 = 0.75, 5/6 = 0.833, 1/2 = .5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9.
clearly 0.8 lies between 0.75 and .833.
4/5 lies between 3/4 and 5/6..
- 2. A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out this cloth ?
Options- A. 300
- B. 360
- C. 400
- D. 450 Discuss
Correct Answer: 300
Explanation:
Length of each piece = (1/8) m = 0.125 m
Required no of pieces = (37.5/0.125) = (375 * 100) / 125 = 300.
- 3. 54.327 x 357.2 x 0.0057 is same as
Options- A. 5.4327 x 3.572 x5.7
- B. 5.4327 x 3.572 x0.57
- C. 54327 x 3572 x 0.0000057
- D. None of these Discuss
Correct Answer: 5.4327 x 3.572 x5.7
Explanation:
Number of decimal places in the given expression = 8
Number of decimal places in (A) = 8
Number of decimal places in (B) = 9
Number of decimal places in (C)= 7
Clearly , the expresssion in (A) is the same as the given Expression.
- 4. The rational for the recurring decimal 0.125125......is
Options- A. 125/99
- B. 125/999
- C. 125/9999
- D. 125/9 Discuss
Correct Answer: 125/999
Explanation:
0.125125...... = = 125/999
- 5. 4.036 divided by 0.04 gives
Options- A. 1.009
- B. 10.09
- C. 100.9
- D. None of these Discuss
Correct Answer: 100.9
Explanation:
4.036/0.04 = 4036/40 = 100.9
- 6. Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?
Options- A. 404
- B. 415
- C. 418
- D. 420 Also asked in: GATE, CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 418
Explanation:
Let the total book be 1
Then, in the 1st week th of book is read
i.e remaining pages =
in 2nd week he read
th of it
i.e
Remaining pages after 2nd week =
But given remaining pages after 2nd week = 100
--> x = 418
The total pages in the book are 418
- 7. If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :
Options- A. always greater than either of the original fractions
- B. always less than either of the original fractions
- C. sometimes greater and sometimes less than either of the original fractions
- D. remains the same Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: always less than either of the original fractions
Explanation:
We can easily Answer this by taking some values.
The question states that the two fractions, each have values between 0 and 1.
Let us say one of the fraction is 1/2 and the other fraction is 1/3 .
The product of the two fractions is 1/2 x 1/3 = 1/6 .
is lesser than both 1/2 and 1/3 .
So, the correct answer is that the product is always less than either of the original fractions.
- 8. How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
Correct Answer: 6
Explanation:
Sum of the decimal places = 7 .
Since the last digit to the extreme right wil be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....
- 9. 0.002 * 0.5 = ?
Options- A. 0.0001
- B. 0.001
- C. 0.01
- D. 0.1 Discuss
Correct Answer: 0.001
Explanation:
2 * 5 = 10. Sum of decimal places = 4.
.002 * .5 = 0.0010 = 0.001
- 10. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity?
Options- A. 2010
- B. 2011
- C. 2012
- D. 2013 Discuss
Correct Answer: 2011
Explanation:
Suppose commodity X wil cost 40 paise more than Y after Z years. Then,
(4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40
=> 0.25Z = 0.40 + 2.10 => Z= 2.50/0.25 = 10
Therefore, X will cost 40 paise more than Y 10 years after 2001 . i.e in 2011
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