Ques. Sonali leaves Delhi at 4 pm by a train and reaches Pune at 10 pm. Priyanka leaves Pune at 6 pm by a train and reaches Delhi at 11 pm on the same day. What is the time when they crossed each other?
Anonymous Quiz
45%
(a) 7:49 pm
25%
(b) 7:20 pm
17%
(c) 6:50 pm
13%
(d) 8:20 pm
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Ans. (a) | Explanation:
Let distance between Delhi and Pune be A km.
Time taken by Sonali to reach Pune = 10 – 4 = 6 hours
Time taken by Priyanka to reach Delhi = 11 – 6 = 5 hours
Speed of train which leaves Delhi = A/6 km/hr
And Speed of train which leaves Pune = A/5 km/hr
Relative speed = A/6 + A/5 = 11A/30 km/hr
Distance covered by train which leaves Delhi in 2 hours = 2 × A/6 = A/3 km
Distance left to be covered = A – A/3 = 2A/3 km
Time taken by both the trains to cross each other = Distance left to be covered/ Relative speed = (2A/3)/(11A/30) = 20/11 hours = 1 hour 49 minutes
Required time = 6 pm + 1 hour 49 minutes = 7: 49 pm
Hence, option (a) is the correct answer.
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Let distance between Delhi and Pune be A km.
Time taken by Sonali to reach Pune = 10 – 4 = 6 hours
Time taken by Priyanka to reach Delhi = 11 – 6 = 5 hours
Speed of train which leaves Delhi = A/6 km/hr
And Speed of train which leaves Pune = A/5 km/hr
Relative speed = A/6 + A/5 = 11A/30 km/hr
Distance covered by train which leaves Delhi in 2 hours = 2 × A/6 = A/3 km
Distance left to be covered = A – A/3 = 2A/3 km
Time taken by both the trains to cross each other = Distance left to be covered/ Relative speed = (2A/3)/(11A/30) = 20/11 hours = 1 hour 49 minutes
Required time = 6 pm + 1 hour 49 minutes = 7: 49 pm
Hence, option (a) is the correct answer.
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Ques. A company X sold apple juice at cost price by mixing water in it and gained a profit of 25%. What must be the ratio of juice and water in the mixture?
Anonymous Quiz
10%
(a) 1:5
16%
(b) 3:2
66%
(c) 4:1
8%
(d) 2:3
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Ans. (c) | Explanation:
We know that, if we mix any liquid with water and sell it at cost price to gain a profit of x%, then the ratio of liquid and water is (100:x).
Here, x = 25%
Required ratio = 100:25 = 4:1
Hence, option (c) is the correct answer.
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We know that, if we mix any liquid with water and sell it at cost price to gain a profit of x%, then the ratio of liquid and water is (100:x).
Here, x = 25%
Required ratio = 100:25 = 4:1
Hence, option (c) is the correct answer.
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Ques. A museum has an average of 640 visitors on each Saturdays and Sundays, while 310 visitors on other days. The average number of visitors per day in a month of 30 days beginning with a Saturday is-
Anonymous Quiz
8%
(a) 560
12%
(b) 240
18%
(c) 620
62%
(d) 420
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Ans. (d) | Explanation:
In a month of 30 days beginning with Saturday, we will have 5 Saturdays, 5 Sundays and 20 Other days.
Visitors on 5 Saturdays = 640 × 5 = 3200
Visitors on 5 Sundays = 640 × 5 = 3200
Visitors on Other days = 310 × 20 = 6200
So, Total number of visitors in 30 days = 3200 + 3200 + 6200 = 12600
Average number of visitors per day = 12600/30 = 420
Hence, option (d) is the correct answer.
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In a month of 30 days beginning with Saturday, we will have 5 Saturdays, 5 Sundays and 20 Other days.
Visitors on 5 Saturdays = 640 × 5 = 3200
Visitors on 5 Sundays = 640 × 5 = 3200
Visitors on Other days = 310 × 20 = 6200
So, Total number of visitors in 30 days = 3200 + 3200 + 6200 = 12600
Average number of visitors per day = 12600/30 = 420
Hence, option (d) is the correct answer.
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Ques. Average number of vaccinations done in Lucknow is approximately what percentage of the average number of vaccinations done in Jhansi?
Anonymous Quiz
10%
(a) 523%
22%
(b) 314%
30%
(c) 121%
38%
(d) 157%
Ans. (d) | Explanation:
Number of Vaccinations done in Lucknow in all the three months = 85 + 45 + 90 = 220
Average number of Vaccinations done in Lucknow = 220/3
Number of Vaccinations done in Jhansi in all the three months = 30 + 50 + 60 = 140
Average number of vaccinations done in Jhansi = 140/3
Required Percentage = {(220/3)/(140/3)} × 100
= (220/140) × 100
= 157.14% (approx.)
Hence, option (d) is the correct answer.
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Number of Vaccinations done in Lucknow in all the three months = 85 + 45 + 90 = 220
Average number of Vaccinations done in Lucknow = 220/3
Number of Vaccinations done in Jhansi in all the three months = 30 + 50 + 60 = 140
Average number of vaccinations done in Jhansi = 140/3
Required Percentage = {(220/3)/(140/3)} × 100
= (220/140) × 100
= 157.14% (approx.)
Hence, option (d) is the correct answer.
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Ques. Rohan works in a sanitizer factory. In a 176 ltr mixture of glycer and alcohol, there’s 80% alcohol. How much alcohol should be evaporated from the mixture to reduce its percentage to 60%?
Anonymous Quiz
6%
(a) 78 ltr
60%
(b) 88 ltr
18%
(c) 72 ltr
16%
(d) 76 ltr
Ans. (d) | Explanation:
Ratio of glycer and alcohol in the mixture = 20 : 80 = 1 : 4
So, Quantity of glycer in the solution = 176 × 1/(1 + 4) = 35.2 ltr
So, quantity of alcohol in the solution = 176 – 35.2 = 140.8 ltr
In the final mixture, alcohol is 60% and glycol is 40%.
40% corresponds to 35.2 litres.
60% corresponds to 35.2 × (60%/40%) = 52.8 litres.
So, Quantity of alcohol that should be evaporated = 140.8 litr – 52.8 ltr = 88 ltr
Hence, option (b) is the correct answer.
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Ratio of glycer and alcohol in the mixture = 20 : 80 = 1 : 4
So, Quantity of glycer in the solution = 176 × 1/(1 + 4) = 35.2 ltr
So, quantity of alcohol in the solution = 176 – 35.2 = 140.8 ltr
In the final mixture, alcohol is 60% and glycol is 40%.
40% corresponds to 35.2 litres.
60% corresponds to 35.2 × (60%/40%) = 52.8 litres.
So, Quantity of alcohol that should be evaporated = 140.8 litr – 52.8 ltr = 88 ltr
Hence, option (b) is the correct answer.
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Ques. In a certain business deal, the profit percentage is set at 80% of the cost. If the cost further increases by 20% but the selling price remains the same, then what must be the new profit percentage?
Anonymous Quiz
49%
(a) 50%
29%
(b) 60%
16%
(c) 40%
5%
(d) 21%
Ans. (a) | Explanation:
Let us assume CP = Rs. 100.
Then, Profit = Rs. 80 and selling price = Rs. 180.
The cost increases by 20%, therefore new CP = Rs. 120, SP = Rs. 180.
So, new profit percentage = (60/120) × 100 = 50%.
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Let us assume CP = Rs. 100.
Then, Profit = Rs. 80 and selling price = Rs. 180.
The cost increases by 20%, therefore new CP = Rs. 120, SP = Rs. 180.
So, new profit percentage = (60/120) × 100 = 50%.
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Ques. A number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
1, 4, 27, 16, ?, 36, 343
1, 4, 27, 16, ?, 36, 343
Anonymous Quiz
8%
(a) 121
14%
(b) 244
62%
(c) 125
16%
(d) 81
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Ques. A man can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 km/h and the rest at 5km/h. What is the total distance to be covered?
Anonymous Quiz
4%
(a) 4 km
65%
(b) 6 km
24%
(c) 10 km
7%
(d) 8 km
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Ques. Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is
Anonymous Quiz
12%
(a) 3/4
21%
(b) 10/23
21%
(c) 1/2
45%
(d) 10/21
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Ques. A group of 15 non-vegetarian people and 10 vegetarian people have an average weight of 38.4 kg. If non-vegetarian people have an average weight of 40 kg, then what must be the average weight of the vegetarian people?
Anonymous Quiz
5%
(a) 44 kg
74%
(b) 36 kg
17%
(c) 26 kg
3%
(d) 24 kg
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Answer : (b) 36 kg | Explanation:
Average weight of all (veg & non-veg) people = 38.4 kg
Average weight of non-vegetarian people = 40 kg
Number of vegetarian people = 10
Number of non-vegetarian people = 15
Total number of people = 15 + 10 = 25
Total weight of 25 people = 38.4 × 25 = 960 kg
Total weight of non-vegetarian people = 40 × 15 = 600 kg
So, Total weight of vegetarian people = 960 – 600 = 360 kg
Therefore, Average weight of vegetarian people = Total weight of vegetarian people / Number of vegetarian people = 360/10 = 36 kg
So, average weight of vegetarian people = 36 kg
Hence, option (b) is the correct answer.
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Average weight of all (veg & non-veg) people = 38.4 kg
Average weight of non-vegetarian people = 40 kg
Number of vegetarian people = 10
Number of non-vegetarian people = 15
Total number of people = 15 + 10 = 25
Total weight of 25 people = 38.4 × 25 = 960 kg
Total weight of non-vegetarian people = 40 × 15 = 600 kg
So, Total weight of vegetarian people = 960 – 600 = 360 kg
Therefore, Average weight of vegetarian people = Total weight of vegetarian people / Number of vegetarian people = 360/10 = 36 kg
So, average weight of vegetarian people = 36 kg
Hence, option (b) is the correct answer.
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Ques. Sonali leaves Delhi at 4 pm by a train and reaches Pune at 10 pm. Priyanka leaves Pune at 6 pm by a train and reaches Delhi at 11 pm on the same day. What is the time when they crossed each other?
Anonymous Quiz
45%
(a) 7:49 pm
26%
(b) 7:20 pm
17%
(c) 6:50 pm
12%
(d) 8:20 pm
👍5
Ans. (a) 7:49 pm | Explanation:
Let distance between Delhi and Pune be A km.
Time taken by Sonali to reach Pune = 10 – 4 = 6 hours
Time taken by Priyanka to reach Delhi = 11 – 6 = 5 hours
Speed of train which leaves Delhi = A/6 km/hr
And Speed of train which leaves Pune = A/5 km/hr
Relative speed = A/6 + A/5 = 11A/30 km/hr
Distance covered by train which leaves Delhi in 2 hours = 2 × A/6 = A/3 km
Distance left to be covered = A – A/3 = 2A/3 km
Time taken by both the trains to cross each other = Distance left to be covered/ Relative speed = (2A/3)/(11A/30) = 20/11 hours = 1 hour 49 minutes
Required time = 6 pm + 1 hour 49 minutes = 7: 49 pm
Hence, option (a) is the correct answer.
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Let distance between Delhi and Pune be A km.
Time taken by Sonali to reach Pune = 10 – 4 = 6 hours
Time taken by Priyanka to reach Delhi = 11 – 6 = 5 hours
Speed of train which leaves Delhi = A/6 km/hr
And Speed of train which leaves Pune = A/5 km/hr
Relative speed = A/6 + A/5 = 11A/30 km/hr
Distance covered by train which leaves Delhi in 2 hours = 2 × A/6 = A/3 km
Distance left to be covered = A – A/3 = 2A/3 km
Time taken by both the trains to cross each other = Distance left to be covered/ Relative speed = (2A/3)/(11A/30) = 20/11 hours = 1 hour 49 minutes
Required time = 6 pm + 1 hour 49 minutes = 7: 49 pm
Hence, option (a) is the correct answer.
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