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
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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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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
7%
(a) 560
22%
(b) 240
14%
(c) 620
57%
(d) 420
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Ans. (d) 420 | 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. Rent of a room is Rs. 9600, which is shared among Kallu, Malkhan, Ramu and Shyam. If contribution ratio of Kallu & Malkhan, Malkhan & Ramu and Ramu & Shyam is 1:2, 2:3 and 5:6 respectively, then what is the contribution of Malkhan in the rent?
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Select the correct answer using the codes given below.
Anonymous Quiz
10%
(a) Rs. 1400
59%
(b) Rs. 2000
22%
(c) Rs. 1000
9%
(d) Rs. 1600
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Answer: (b) | Explanation:
Contribution ratio of Kallu and Malkhan = 1:2
Contribution ratio of Malkhan and Ramu = 2:3
So, Contribution ratio of Kallu, Malkhan and Ramu = 1:2:3 ……….(i)
Contribution ratio of Ramu and Shyam = 5:6 ………..(ii)
To make Contribution of Ramu equal in eqn (i) and (ii), we will multiply eqn (i) by 5 and eqn (ii) by 3.
Contribution ratio of Kallu, Malkhan and Ramu = [1:2:3] × 5 = 5:10:15
Contribution ratio of Ramu and Shyam = [5:6] × 3 = 15:18
So, Contribution ratio of Kallu, Malkhan, Ramu and Shyam = 5:10:15:18
∴ Required contribution of Malkhan = 9600 × 10/(5+10+15+18) = Rs. 2000
Hence, option (b) is correct.
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Contribution ratio of Kallu and Malkhan = 1:2
Contribution ratio of Malkhan and Ramu = 2:3
So, Contribution ratio of Kallu, Malkhan and Ramu = 1:2:3 ……….(i)
Contribution ratio of Ramu and Shyam = 5:6 ………..(ii)
To make Contribution of Ramu equal in eqn (i) and (ii), we will multiply eqn (i) by 5 and eqn (ii) by 3.
Contribution ratio of Kallu, Malkhan and Ramu = [1:2:3] × 5 = 5:10:15
Contribution ratio of Ramu and Shyam = [5:6] × 3 = 15:18
So, Contribution ratio of Kallu, Malkhan, Ramu and Shyam = 5:10:15:18
∴ Required contribution of Malkhan = 9600 × 10/(5+10+15+18) = Rs. 2000
Hence, option (b) is correct.
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Ques. 100 people were divided into two groups of 40 and 60 people. If the average age of 40 people and 60 people is 50 years and 55 years respectively, what must be the average age of all the persons taken together?
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Select the correct answer using the codes given below.
Anonymous Quiz
7%
(a) 45 years
13%
(b) 95 years
76%
(c) 53 years
4%
(d) 65 years
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Ans. C | Explanation:
Average age of 40 people is 50 years, and average age of 60 people is 55 years.
So, sum of the ages of 40 people = 40 × 50 = 2000 years
Sum of ages of 60 people = 60 × 55 = 3300 years
Required average age = (2000 + 3300)/(40 + 60) = 5300/100 = 53 years
Hence, option (c) is correct.
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Average age of 40 people is 50 years, and average age of 60 people is 55 years.
So, sum of the ages of 40 people = 40 × 50 = 2000 years
Sum of ages of 60 people = 60 × 55 = 3300 years
Required average age = (2000 + 3300)/(40 + 60) = 5300/100 = 53 years
Hence, option (c) is correct.
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Ques. If 10% of x is 25% of the half of y, then what must be the value of y/x?
Anonymous Quiz
5%
(a) 3/4
11%
(b) 8/3
67%
(c) 4/5
17%
(d) 5/4
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Ans. C | Explanation:
This is simply a matter of breaking down the problem. 10 percent of x is 0.1x.
25 percent of half of y is 25 percent of 0.5y, which is 0.25 × 0.5y = y/8.
Now, as per the question,
x/10 = y/8
or y/x = 4/5
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This is simply a matter of breaking down the problem. 10 percent of x is 0.1x.
25 percent of half of y is 25 percent of 0.5y, which is 0.25 × 0.5y = y/8.
Now, as per the question,
x/10 = y/8
or y/x = 4/5
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Ques. The price of an item is decreased by 10%, then by 20%, and finally by 30%. This is equivalent to:
Anonymous Quiz
27%
(a) Decreasing the price by 50.4%
21%
(b) Decreasing the price by 60%.
16%
(c) Decreasing the price by 40.5%
36%
(d) Decreasing the price by 49.6%
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Ans. D | Explanation:
Decreasing a price by 10%, then by 20%, and then by 30% is equivalent to taking 90% of a price, then taking 80% of the remaining price, and then taking 70% of that. That, in turn, is equivalent to multiplying the price by 0.90, then by 0.80, and then by 0.70.
For simplicity's sake, assume the initial price was Rs. 100. Then we can calculate the final price as follows:
Final price = 100 × 0.9 × 0.8 × 0.7 = Rs. 50.40
So, we essentially discounted the original price by Rs.49.60, which is 49.6%.
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Decreasing a price by 10%, then by 20%, and then by 30% is equivalent to taking 90% of a price, then taking 80% of the remaining price, and then taking 70% of that. That, in turn, is equivalent to multiplying the price by 0.90, then by 0.80, and then by 0.70.
For simplicity's sake, assume the initial price was Rs. 100. Then we can calculate the final price as follows:
Final price = 100 × 0.9 × 0.8 × 0.7 = Rs. 50.40
So, we essentially discounted the original price by Rs.49.60, which is 49.6%.
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Ques. When processing flower-nectar into honeybees' extract, a considerable amount of water gets wasted. How much flower-nectar must be processed to yield 1 kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?
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