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:- In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Recent Answer : :
42
Ques:- Suppose you already have job offer and giving to interview to other new company. What reasoning should be given if other company employer asks that about reasons to not accept that job offer. I mean why you will not accept that offer if we will offer you?
Ques:- What would you want to achieve in your first year on the job?
Ques:- Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Recent Answer : :
30+2=32
Ques:- Motivation to shift from Delhi to Pune?
Ques:- January 7, 1992 was Tuesday. Find the day of the week on the same date after 5 years, i.e., on January 7, 1997?
A. Monday
B. Tuesday
C. Wednesday
D. Friday
E. Friday
Recent Answer : :
Tuesday
Ques:- what are the things to be studied for the post of Executive trainee in Hindustan Latex Ltd.?
Ques:- What is supernatural power.
Ques:- There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Recent Answer : :
5/9
Ques:- How can i work when i join the company
Ques:- What do you expect from your future employer?
Ques:- X, Y and Z invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Recent Answer : :
3630
Ques:- Why do you want to leave Genpact after spending good 4 years?
Ques:- Current Experience in the functional area
Ques:- What song best describes your work ethic?
Ques:- How would you describe your basic leadership style? Give specific examples of how you practice this?
Ques:- There are 7 letters A,B,C,D,E,F,GAll are assigned some numbers from 1,2 to 7.B is in the middle if arranged as per the numbers.A is greater than G same as F is less than C.G comes earlier than E.1) Which is the fourth letter ? ( B / D / F/ E)2) what is the difference between A and F? ( 3 /4/ 5/ 6)3 Choose 4 consecutive letters? ( ABCD / BDFE / AEFB / NONE OF THESE )
Ques:- Why u have chosen domino’s?
Ques:- Why do you want leave teaching job and come to bpo sector?
Ques:- In front of you are 10 bags, filled with marbles. The number of marbles in each bag differs, but all bags contain ten marbles or more. Nine of the ten bags only contain marbles of 10 grams each. One bag only contains marbles of 9 grams. In addition, you have a balance which can weigh in grams accurate, and you are allowed to use it only once (i.e. weigh a single time). How can you find out in one weighing, which bag contains the marbles of 9 grams?
Ques:- If 2x + y = 10 and x = 3, what is x – y
Recent Answer : :
X-Y=-1
Ques:- Tell us when in past you were able to demonstrate your leadership skils.
Ques:- What are your +ve and -ve qualities?
Ques:- Tell me about a specific task you undertook, which was a challenge for you?
Ques:- There are 4 mothers, 4 daughters and the colour of their dresses, and they are aged 1, 2, 3 & 4. Details of the dresses are given & then it asked about the remaining dresses.Â
Ques:- What was the biggest mistake of your life?
Ques:- X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X is invested Rs.40,000, the amount invested by Y is
A. Rs. 40,000
B. Rs. 45,000
C. Rs. 50,000
D. Rs. 60,000
Recent Answer : :
d
Ques:- Today is Tuesday. After 62 days it will be
A. Monday
B. Wednesday
C. Thursday
D. Sunday
Recent Answer : :
Monday
7days for a week so 62÷7 remainder is 6 so
After Tuesday + 6days = monday
Ques:- Will you be able to work under pressure and meet deadlines?
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