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- Question
- 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
- Correct Answer
- 1/40
ExplanationLength 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 - 1. 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
- 2. (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
- 3. In a village, (5/8)th of the population are adults,half of the adults are male,(4/5)th of adult females are illiterate. if 400 females are illiterate, then the population of the village is?
Options- A. 2000
- B. 1500
- C. 1800
- D. 1600 Discuss
- 4. In a polling booth, total number of voters is 1575 out of which 0.4 part are male voters. If a candidate gets 0.4 part of female votes, then find how many votes did the candidate get?
Options- A. 945
- B. 756
- C. 378
- D. 630 Discuss
- 5. 1/8th part of a pencil is black, half of the remaining is white. If the remaining part is blue and length of this blue part is 3 1/ 2cm, then find the length of the pencil?
Options- A. 6 cm
- B. 7 cm
- C. 8 cm
- D. 9 cm Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Decimal Fraction problems
Search Results
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: 1600
Explanation:
Let the population of village = N
Then, adult's population = 5N/8
and adult females = 1/2 x 5N/8 = 5N/16
? illiterate females = 4/5 of adult female population
? 400 = 4/5 x 5N/16
? N = (400 x 16)/4
? N = 1600
Correct Answer: 756
Explanation:
Number of male voters = 4/10 of 1575 = 4/10 x 1575 = 630
Number of female voters=1575 - 630 = 945
Now, total votes that candidate got = (6/10) x 630 + (4/10) x 945 = 378 + 378 = 756
Correct Answer: 8 cm
Explanation:
Let the total length of pencil = L cm
Then, black part = L/8
? Remaining part = L - L/8 = 7L/ 8
and White part = (7L/8)/2 = 7L/8
? Remaining part = L - (L/8 + 7L/16) = 7L/16
? length of blue part = 7L/16
According to the question,
7L/16 = 31/2
? 7L/16 = 7/2
? L =8
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: 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: 3
Explanation:
Let 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
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.
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