Ques:- A cow is tethered in the middle of a field with a 14 feetlong rope. If the cow grazes 100 sq feet per dayapproximately. What time will be taken by the cow to grazethe grazeable area of the field?
Recent Answer : Added by Admin On 2020-05-17 12:03:41:
( d ) 6 days
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Ques:- Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeros will the product end?
A. 1
B. 4
C. 5
D. 10
Recent Answer : Added by Yash G On 2023-03-01 17:24:09:
To determine how many consecutive zeros the product of S will end with, we need to find the highest power of 10 that divides the product. This is equivalent to finding the highest power of 5 that divides the product, since the number of factors of 2 will always be greater than the number of factors of 5.
The primes in S are {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}.
There are 24 primes in S, so the product of S is:
2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 x 23 x 29 x 31 x 37 x 41 x 43 x 47 x 53 x 59 x 61 x 67 x 71 x 73 x 79 x 83 x 89 x 97
We need to find the highest power of 5 that divides this product. To do this, we count the number of factors of 5 in the prime factorization of each number in S.
5 appears once: 5
5 appears once: 25
5 appears once: 35
5 appears once: 55
5 appears once: 65
5 appears once: 85
So, there are six factors of 5 in the product of S. However, we also need to consider the powers of 5 that arise from the factors 25, 35, 55, and 65.
25 = 5 x 5 appears once: 25
35 = 5 x 7 appears once: 35
55 = 5 x 11 appears once: 55
65 = 5 x 13 appears once: 65
Each of these numbers contributes an additional factor of 5 to the product of S. Therefore, there are 6 + 4 = 10 factors of 5 in the product of S.
Since each factor of 5 corresponds to a factor of 10, we know that the product of S will end with 10 zeros. Therefore, the product of S will end with 10 consecutive zeros
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Ques:- The least number should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is
A. 3
B. 13
C. 23
D. 33
Recent Answer : Added by Shahram Hakimi On 2022-08-14 18:02:57:
23
Ques:- In one hour a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water is?
Recent Answer : Added by shivam kannojiya On 2021-01-05 15:58:19:
8
Ques:- Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Recent Answer : Added by Adheena On 2022-03-09 16:36:23:
2400
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Ques:- The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
Recent Answer : Added by Atif On 2022-12-05 16:13:42:
12%
Ques:- By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Recent Answer : Added by mathew On 2022-05-17 09:07:31:
20 %
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Ques:- 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Recent Answer : Added by Arya Shesham On 2021-09-01 15:53:07:
Suppose 1 person consumes 1 unit food daily.
So, for 24 days, 1600 person will consume 1600×24 units.
So total units of food available = 1600×24
Now total number of person =1200
So, total food will be consumed by 1200 person in (1600×24)/1200 = 32 days.
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Ques:- A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Recent Answer : Added by Mubeen Mahomed On 2021-08-28 11:27:12:
Can someone confirm that it is : 5/9 * 4/8 * 3/7 = 11.9% that you choose 3 good bulbs in a row
Ques:- Convert 251 decimal to base 8(i.e. octal)?
Recent Answer : Added by Admin On 2020-05-17 12:01:28:
373
Ques:- Find LCM of 87 and 145 is:
Recent Answer : Added by b On 2021-08-11 19:02:58:
435
Ques:- At 6?o a clock ticks 6 times.The time between first and last ticks is 30 seconds.How long does it tick at 12?o clock?2.A hotel has 10 storey. Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
Ques:- There are 3 clans in an island – The Arcs who never lie, the Dons who always lie and the Slons who lie alternately with the truth. Once a tourist meets 2 guides who stress that the other is a Slon. They proceed on a tour and see a sports meet. The first guide says that the prizes have been won in the order Don, Arc, Slon. The other says that, the order is Slon, Don, Arc. (the order need not be exact). To which clan did each of the guides and the players belong? …
Ques:- A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
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Ques:- May 6, 1993 was Thursday. What day of the week was on May 6, 1992?
A. Tuesday
B. Wednesday
C. Friday
D. Saturday
Recent Answer : Added by Karthikraj S Nadar On 2022-08-14 16:42:06:
A. Tuesday
Ques:- 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Recent Answer : Added by Robert Blackwell On 2022-09-02 17:04:29:
That will depend heavily on when in the journey the 200 men join.
Ques:- In a class , except 18 all are above 50 years. 15 are below 50 years of age. how many people are there
A. 30
B. 33
C. 36
D. none of these.
Recent Answer : Added by sangeetha On 2022-08-14 16:41:56:
33
Ques:- Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Recent Answer : Added by Manik rattan On 2021-08-16 06:56:14:
suppose
pipe:
A -30 hours A’s effeciency (60/30) =2
60( lcm of 30 and 20)
B- 20 hours B’s effeciency (60/20)=3
time taken by both to fill = 60/5 =12 as given in question (effeciencies of both a+b =2+3=5)
time taken by faster pipe i.e b = 60/3 =20
( d ) 6 days