Ques:- About me, about my subject and my future planning
Ques:- How does this particular position and job fit in with your career goals?
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
Ques:- Why do you want to work here in London, UK?
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Ques:- The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Recent Answer : Added by Shaikot On 2021-06-23 17:55:45:
(10×1000) / (2×3.1416×1.75) = 909 times (about)
Ques:- There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Ques:- Why are you working in sales
Ques:- A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there?
A. 100
B. 114
C. 200
D. 208
E. 315
Recent Answer : Added by Manjula On 2020-11-26 14:28:22:
114
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Ques:- WHAT ARE THE SKILLS REQUIRE TO ENTER IN SOFTWARE INDUSTRY?
Ques:- How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
Ques:- In near future would you be willing to manage a branch office? If no, why not?
Ques:- How many branches you handled?
Ques:- Varun’s expenditures and savings are in the ratio of 4 : 1. His income increases by 20%. If his savings increase by 12% by how much % should his expenditure increase?
A. 12%
B. 20%
C. 22%
D. 32%
Recent Answer : Added by Admin On 2022-09-25 04:15:25:
C. 22%
Ques:- By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Ques:- A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Recent Answer : Added by George On 2021-06-10 07:10:11:
total distance to travel the end of the train = 360 + 140 = 500 m
speed of train 45000m/60min = 750m/min or 750m/60sec
(500m*60sec)/750m=40sec the time will take to pass
Ques:- If in a group there is no in charge, what will you do?
Ques:- For measuring 1- 40 kg how many different weight are needed?
Ques:- If there is a fixed deadline given by manager, walk through the steps you would take.
Ques:- What is diploma?
Ques:- About myself and total experience?
Ques:- Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Recent Answer : Added by Atif On 2022-12-05 16:13:36:
10 x 27=270
Ques:- Knowledge gained in overall job experience
Ques:- . The first muslim invader in India was(1) Changez Khan(2) Muhammad Ghori(3) Muhammad of Ghazni(4) Muhammad-bin-Qasim
Recent Answer : Added by Faisal On 2021-03-03 17:05:04:
Mohammad Gauri
Ques:- P, Q, R, S, T and U are six cities which are in a row in the same order. A bus, b1 travels from P to U and another bus b2 travel from U to P. The bus b1 reaches S at 10:40 and bus b2 reaches Q at 10:35 if the travel time between any two adjacent cities is 40 minutes and the stoppage time at each city is 15 minutes. Which city do the two buses meet?
Recent Answer : Added by DK BOSS On 2021-07-17 06:28:10:
Answer: 8:10, 7:10
Explanation:
The bus b1, which started at P, reached S at 10:40, passing through the intermediary cities Q and R.
The time taken to travel from P to S
= 3 * 40 + 2 * 15 = 150minute
(journey)+(stoppage) = 2 hrs 30 minutes.
Hence, b1 started at 10:40 – 2:30 = 8:10 at P.
b2 reached Q, starting at U, through the city T, S and R.
The time taken by it to reach S = 4 * 40 + 3 * 15 = 205 minutes = 3 hr 25 minutes.
Hence, b2 started at, 10:35 – 3:25 = 7:10, at U.
Ques:- I?m concerned that you don?t have as much experience as we?d like in?
Ques:- How many your family member.
Ques:- 6 cats kill 6 rats in 6 minutes .how many cats will be needed to kill 100 rats in 50 minutes?
Recent Answer : Added by Admin On 2020-05-17 12:04:23:
one cat kill one rat six minutes
so 1 cat kill 100 rat willbe needed 6*100=600minutes
then 100 rates kill 50minutes means then 600/50=12
so the answer is 12
Ques:- A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
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