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- Question
- 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
- Correct Answer
- 8 cm
ExplanationLet 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 - 1. How many pieces of 13.2 cm can be cut from a 330 cm long rod?
Options- A. 25
- B. 28
- C. 21
- D. 35 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. (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
- 9. 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
- 10. 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
Decimal Fraction problems
Search Results
Correct Answer: 25
Explanation:
Total length of the rod = 330 cm
Length of a piece = 13.2 cm.
Required number of pieces = Total length/Length of a piece ;
Required number of pieces = 330/13.2 = 25
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
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: 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: 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: 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: 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: 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: 1/4
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: 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
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