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- Question
- A man left (1/7)th of his property to his daughter and the remaining to his sons to be equally divided among them. If the share of the each son be double than that of the daughter. Then, find the number of sons?
Options- A. 2
- B. 3
- C. 6
- D. 4
- Correct Answer
- 3
ExplanationLet the total property = N
Then, property of his daughter = P/7
? Remaining property = P - P/7 = 6P/7
Now, this property is divided among his sons, so that each son gets twice the property of his daughter.
Let number of sons be K.
Then, 6N/7 x K = 2N/7
? K = 3 - 1. A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is?
Options- A. 14/45
- B. 12/65
- C. 13/45
- D. 2/7 Discuss
- 2. If 0. 3+ 0. 6 + 0. 7 + 0. 8 = x, then x is equal to?
Options- A. 23/10
- B. 22/3
- C. 2.35
- D. 53/10 Discuss
- 3. From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/ 4 m long. What fraction of the whole will be left?
Options- A. 1/40
- B. 3/4
- C. 8/13
- D. 7/13 Discuss
- 4. A scooter before overhauling requires 2/3 h service time every 45 days,while after overhauling it requires 2/3 h service time every 60 days. what fraction of pre-overhauling service time is saved in the latter case?
Options- A. 4/3
- B. 1/3
- C. 3/4
- D. 1/4 Discuss
- 5. (1/4)th of number of boys and (3/8)th of number of girls participated in annual sport days in the school. What fractional part of total number of students participated?
Options- A. 32%
- B. 20%
- C. 36%
- D. data inadequate Discuss
- 6. A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is?
Options- A. 1.125
- B. 4.5
- C. 1.5
- D. 3 Discuss
- 7. A has twice as much money as B. They play together and at the end of the first game B wins one-third of A's money from A, what fraction of the sum that B now has, must A win black in the second game, so that they may have exactly equal money?
Options- A. 1/3
- B. 1/5
- C. 1/4
- D. 1/10 Discuss
- 8. Sum of three fractions is 2 11/ 24. If the greatest fraction is divided by the smallest fraction, the result is 7/6, which is greater than the middle fraction by 1/3. find all the three fractions?
Options- A. 3/5, 4/7, 2/3
- B. 7/8, 5/6, 3/4
- C. 7/9, 2/3, 3/5
- D. 7/8, 7/9, 7/10 Discuss
- 9. Sum of three fraction is 2 11/ 24 . If the greatest fraction is divided by the smallest fraction the result is 7/6, which is greater than the middle fraction by 1/3. Find all the three fractions.
Options- A. 3/5, 4/7, 2/3
- B. 7/8, 5/6, 3/4
- C. 7/9, 2/3, 3/5
- D. 7/8, 7/9, 7/10 Discuss
- 10. In the year 2011, Shantanu gets ? 3832.5 as his pocket allowance. Find his pocket allowance per day.
Options- A. ? 9.5
- B. ? 10.5
- C. ? 12.5
- D. ? 11.5 Discuss
Decimal Fraction problems
Search Results
Correct Answer: 13/45
Explanation:
Let the fraction be N.
Then, N / (13/14) - (13/14) x N = 3/65
? 14N/13 - 13N/14 = 3/65
? (196N - 169N)/182 = 3/65
? 27N/182 = 3/65
? N = (3 x 182) / (27 x 65) = 14/45
So, correct answer will be (13/14) x (14/45) = 13/45
Correct Answer: 22/3
Explanation:
0.3+ 0.6 + 0.7 + 0.8 = x,
? x = 3/9 + 6/9 + 7/9 + 8/9 = 24/9 = 8/3 = 22/3
Correct Answer: 1/40
Explanation:
Length of each piece = 31/4 = 13/4 m
Maximum pieces that can be cut = 30/(13/4) = 9
? Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m
? Required fraction = 3/4/30 = 1/4
Correct Answer: 1/4
Explanation:
Time required for service before overhauling = 2/3h = 40 min in 45 days
and time required for service after overhualing =2/3h= 40 min in 60 days
Now,LCM of 45 and 60 = 180 days
time required for service before overhauling is 180 days = 40 x 4 = 160 min
and time required for service before overhauling is 180 days =40 x 3 = 120 min
? fraction of time saved = 160 - 120/160 =40/160 = 1/4
Correct Answer: data inadequate
Explanation:
Total number of students participated = (B/4 + 3G/4)
? Required percentage= (B/4 + 3G/4) / (B+G) x 100%
Clearly, given data is inadequate.
Correct Answer: 1.5
Explanation:
Let the weight of vesel = x kg
Then, 1/4 of volume of water = (5.25 - x)kg
Full volume of water = (16.5 - x)
? 4(5.25 - x) = (16.5 - x)
? 21 - 4x = 16.5 - x
? 21 - 16.5 = 3x
? x = 4.5/3 = 1.5 kg
Correct Answer: 1/10
Explanation:
Let A has ? 200 at the starting of game, then B has ? 100 at the starting of game.
After the game, money left with A = 200 - 200/3 = ? 400/3
? Total money with B = 100 + 200/3 = ? 500/3
Let the fraction of money lost by B = N
Then, 500/3 - N x 500/3 = 400/3 + N x 500/3
? 500/3 - 400/3 = 500N/3 + 500N/3
? 100/3 = 1000N/3
? N = (100/3) x (3/1000) = 1/10
so, the fraction of money lost is 1/10.
Correct Answer: 7/8, 5/6, 3/4
Explanation:
Let the fraction be x, y and z respectively in decreasing order.
Then, according to the question,
x/z = 7/6
? x = 7z/6
And y = 7/6 - 1/3 = 7-2/6 = 5/6
Now, x + y + z = 211/24
? 7z/6 + 5/6 + z = 59/24
? (13z + 5)/ 6 = 59/24
? 13z = 59/4 - 5 =39/4
? z = 3/4
? x =7z/6 = 7/8
Hence, the fraction are 7/8, 5/6, 3/4.
Correct Answer: 7/8, 5/6, 3/4
Explanation:
Let the greatest, middle and smallest fraction be P, Q and R respectively in decreasing order.
According to the question.
(Greatest fraction) / (Smallest fraction) = 7/6
? P/R = 7/6
? P = 7R/6 ....(i)
and Q = 7/6 - 1/3 = 7 - 2/6 = 5/6 (ii)
Now, P + Q + R = 211/24 (iii )
Substitute the value of P and Q from Eqs. (i), (ii) and put in Eqs (iii), we get
? 7R/6 + 5/6 + R = 59/24
? (7R + 5 + 6R)/6 = 59/24
? (13R + 5) / 6 = 59/24
? 13R = (59/4) - 5 = 39/4
? R = 39 / (4 x 13)
? R = 3/4
On putting the value of R in Eq. (i), we get
P = 7R/6 = (7/6) x (3/4) = 7/8
Correct Answer: ? 10.5
Explanation:
Shantanu's pocket allowance = ? 3832.50
Total days in 2011 (general year) = 365 days
Allowance per day = 3832.5/365 = ? 10.5
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