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- Question
- If a fraction's numerator is increased by 1 and the denominator is increased by 1 and denominator is increased by 2 then the fraction becomes 2/3. But when the numerator is increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4. What is the value of the original fraction?
Options- A. 3/7
- B. 5/8
- C. 5/7
- D. 6/7
- Correct Answer
- 5/7
ExplanationLet the numerator and denominator be p and q respectively.
Then, (p + 2) / (q + 3) = 7/9
? 9(p + 2) = 7(q +3)
? 9p - 7q = 3 ....(i)
Again, (p - 1) / (q - 1) = 4/5
? 5p - 4q = 1 ....(ii)
Solving (i) and (ii) we get,
p = 5, q = 6
Required fraction = 5/6 - 1. If the numerator of a fraction is increased by 2 and denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What is the original fraction?
Options- A. 13/16
- B. 9/11
- C. 5/6
- D. 17/21 Discuss
- 2. If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4 . What is the original fraction?
Options- A. Data inadequate
- B. 2/7
- C. 4/7
- D. 3/7 Discuss
- 3. If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is?
Options- A. 4/9
- B. 3/20
- C. 7/24
- D. 5/12 Discuss
- 4. (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) =?
Options- A. 0.004096
- B. 1.3976
- C. 0.16
- D. 1 Discuss
- 5. [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] =?
Options- A. 21.736
- B. 2.1736
- C. .21736
- D. 1 Discuss
- 6. The value of (9 2 x 18 4) / 3 16 is?
Options- A. 2/3
- B. 4/9
- C. 16/81
- D. 32/243 Discuss
- 7. A man spends (1/7)th of his salary on food, half of the remaining on clothing and (1/3)rd of the remaining on entertainment. He is still left with Rs. 600. How much does he spend on entertainment?
Options- A. Rs. 600
- B. Rs. 450
- C. Rs. 300
- D. Rs. 700 Discuss
- 8. If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. find the fraction?
Options- A. 8/27
- B. 11/3
- C. 22/3
- D. 32/3 Discuss
- 9. A lamppost is divided into three parts, the first part is (1/3)rd of the whole length, second (3/8)th of the first and the third is 6 m 50 cm. The length of the lamppost is?
Options- A. 15 m
- B. 10 m
- C. 12 m
- D. 131/2 Discuss
- 10. Find the value of 27 x 1. 2 x 5.526 2 x 0. 6 .
Options- A. 121.57
- B. 121.75
- C. 121.75
- D. None of these Discuss
Decimal Fraction problems
Search Results
Correct Answer: 5/6
Explanation:
Let the numerator and denominator be p and q respectively.
Then, (p + 2) / (q + 3) = 7/9
? 9(p + 2) = 7(q +3)
? 9p - 7q = 3 ....(i)
Again, (p - 1) / (q - 1) = 4/5
? 5p - 4q = 1 ....(ii)
Solving (i) and (ii) we get,
p = 5, q = 6
Required fraction = 5/6
Correct Answer: 3/7
Explanation:
Let the original fraction be p/q
Then, (p + 2) / (q + 1) = 5/8
? 8p - 5q = 11 .....(i)
Again (p + 3) / (q + 1) = 3/4
? 4p - 3q = 9 ...(ii)
Solving equations , (i) and (ii), we get ,
p = 3 and q = 7
? Fraction = 3/7
Correct Answer: 5/12
Explanation:
Let the required fraction be p/q
? p / (q + 3) = 1/3
? 3p - q = 3 ...(i)
and, (p + 4) / q = 3/4
? 4p - 3q = -16 ...(ii)
Solving these equations, we get p = 5, q = 12
? Required fraction = 5/12
Correct Answer: 0.004096
Explanation:
Given Expression = (.53)3 - (.42)3- 3 x .58 x .42 x (.58-.42)
= a3-b3 -3ab(a - b)
= (a - b)3
(where a = .58 and b=.42)
= (.58 - .42 )3
= .16 x .16 x .16
= 0.004096
Correct Answer: 1
Explanation:
Given expression =(.6)3 + (.4) 3 + 3 x .6 x .4 x (.6 + .4)
= a3 + b3 + 3ab (a+b)
= (a+b)3
= (.6 + .4)3
= 13
= 1
Correct Answer: 16/81
Explanation:
Given expression = [(32)2 x (3 x 3 x 2)4] / 316
= (34 x 38 x 24) / 316
= 24 / 34 = 16 / 81
Correct Answer: Rs. 300
Explanation:
Let man's salary be Rs. N
Money spend on food =N/7
Money spends on clothing = (N - N/7) x 1/2 = (6N/7) x (1/2) =3N/7
Money spend on entertainment = (N - N/7 - 3N/7)/3 = (7N - 4N)/7 = N/7
Now, money left =600
? N - N/7 - 3N/7 - N/7 = 600
? 7N - 5N/7 = 600
? N = 600 x 7/2 = Rs. 2100
? Money spend on entertainment = 1/7 x 2100 = Rs. 300
Correct Answer: 22/3
Explanation:
If the required fraction be N.
Then, (N x N) / (1/N) = 1826/27
? N3 = 512 / 27
? N = 8/3 = 22/3
Correct Answer: 12 m
Explanation:
Let the length of lamppost = L m
Then,first part = L/3
and second part = (3/8) x L/3 = L/8
and third part = 6 m 50 cm = 6.50 m
First part + second part + Third part = length of lamppost
? L/3 + L/8 + 6.5 = L
? L - L/3 - L/8 =6.5
? (24L - 8L - 3L)/24 = 6.5
? 13L/24 = 6.5
? L = (65.x 24)/13 = 12 m
Correct Answer: None of these
Explanation:
27 x 1.2 x 5.5262 x 0.6
= 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
= (27 x 11)/9 x (49736/9000) x (6/9)
= 1094192 / 9000
= 121.576888...
= 121.5768
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