Decimal Fraction problems
- 1. 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 Discuss
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.
- 2. What is the quotient of 18/1000?
Options- A. 1.8
- B. 0.18
- C. 0.018
- D. 0.0018 Discuss
Correct Answer: 0.018
- 3. The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :
Options- A. 0.01
- B. 0.02
- C. 0.03
- D. 0.04 Discuss
Correct Answer: 0.04
Explanation:
Given = (11.98)^2 + (0.02)^2 + 11.98 * x.
For the given expression to be a perfecr square, we must have
11.98 * x = 2 * 11.98 * 0.02 => x = 0.04
- 4. A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
Options- A. 18
- B. 20
- C. 24
- D. 30 Discuss
Correct Answer: 18
Explanation:
Let the present age of person be x years.
Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18..
- 5. Which of the following are in descending order of their value?
Options- A. 5/9, 7/11, 8/15, 11/17
- B. 5/9, 8/15, 11/17, 7/11
- C. 11/17 , 7/11, 8/15, 5/9
- D. 11/17, 7/11, 5/9, 8/15 Discuss
Correct Answer: 11/17, 7/11, 5/9, 8/15
Explanation:
Converting each of the given fractions into decimal form, we get
5/9 = 0.55, 7/11 = 0.63, 8/15 = 0.533, 11/17 = 0.647
Clearly, 0.647>0.63>0.55>0.533
so , 11/17 > 7/11 > 5/9 > 8/15
- 6. When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?
Options- A. 3.12
- B. 312
- C. 3120
- D. None of these Discuss
Correct Answer: 3120
Explanation:
Given,
Now ,
- 7. (0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :
Options- A. 5/3
- B. 9/3
- C. 11/3
- D. 13/3 Discuss
Correct Answer: 5/3
Explanation:
Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...
- 8. What is the decimal conversion of 18?
Options- A. 0.375
- B. 0.247
- C. 0.214
- D. 0.125 Discuss
Correct Answer: 0.125
- 9. 125 over 1000 in Simplest Form?
Options- A. 2/9
- B. 1/8
- C. 3/8
- D. 4/7 Discuss
Correct Answer: 1/8
Explanation:
125 over 1000 in Simplest Form means in its simple fraction form.
Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.
HCF of 125, 1000 = 125
Then, divide both numerator and denominator by 125
i.e,
Hence, is the simplest form of 125 over 1000.
- 10. 5/8 as a Decimal Equals To
Options- A. 0.625
- B. 0.541
- C. 0.258
- D. 0.147 Discuss
Correct Answer: 0.625
Explanation:
5/8 is Nothing but to divide 5 into 8 parts.
As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)
Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)
Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.
Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)
Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.
Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)
Therefore, the decimal value of is 0.625.
Now find a decimal value of and Discuss your at Discuss.
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