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
Ques:- Describe me about yourself, your positive and negative point ?
Ques:- What’s the biggest risk you’ve ever taken?
Ques:- The next number in the series 0, 7, 26, 63 is
A. 124
B. 148
C. 195
D. 255
Recent Answer :
: ( A ) 124
Ques:- What is the number of zeros at the end of the product of the numbers from 1 to 100?
Recent Answer :
: 1×2×…100=100!
Number of zeros in product of n numbers =[5n]+[52n]+[53n]+…
Number of zeros in product of 100 numbers =[5100]+[52100]+[53100]
where [.] is greatest integer function
=[20]+[4]+[0.8]=20+4=24
Ques:- A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Recent Answer :
: 28 Sec
Ques:- The smallest number when increased by ” 1 ” is exactly divisible by 12, 18, 24, 32 and 40 is:
Recent Answer :
: lcm (12,18,24,32,40) – 1
1440-1 = 1439
Ques:- What achievements have given you the most satisfaction inyour life?
Ques:- You are a BPharm graduate, than why you wish to join this field?
Ques:- Why are you working in sales
Ques:- Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Recent Answer :
: 400
Ques:- Which of the commodities listed below is the highestforeign exchange earner for India?
A. Tea
B. Coffee
C. Coal
D. Iron ore
Recent Answer :
: A. Tea
Ques:- Why you join only this company?
Ques:- What are your career aspirations?
Ques:- Why us?
Ques:- Which one of the following animals stores water in the intestine?
A. Moloch
B. Uromastix
C. Zebra
D. Camel
Recent Answer :
: Camel is the answer
Camel can store water for many days or months in there intestines
Ques:- The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is?
Ques:- Tell us about your self. (please give me a answer out of in your C.V)
Ques:- A sequence is given. You should find out error & write correct answer. 2,3 6,7 14,15 29,46
Recent Answer :
: Error is at 46. Correct one is 29+1=30
Ques:- What are motives for imperialism?
Ques:- If “basis points” are defined so that 1 percent is equal to100 basis points, then 75.5 percent is how many basis pointsgreater than 65.5 percent?
Ques:- If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Ques:- What are your hobbies? or What are you passionate about?
Recent Answer :
: “One of my hobbies is playing club sports. … Playing sports is my favorite pastime and my hobby because it’s not just the games I love, but also the socializing part that comes with it. I love to meet new people and go to new places for tournaments.”
Ques:- Whats your current posting?
Ques:- If you 8 same balls and one of them is defective and has less weight. In how many times can you find the defective ball through weighing scale?
Ques:- Why Switched to MBA after BCA?
Ques:- Mention what is the weight of the empire state building?
Ques:- A girl was blind, dumb,deaf and uneducated.a boy wants to express his love. how can he express?
Ques:- How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Recent Answer :
: 16.8 sec
Ques:- A 16 story building has 12000ft on each floor. Company A rents 7 floors and company B rents 4 floors. What is the number of square feet of unrented floor space?
Recent Answer :
: 60000
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