Ques:- Can you describe for me a difficult obstacle you have had to overcome? How did you handle it? How do you feel this experience affected your personality or ability?
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:- A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Recent Answer : :
Explanation:
The number of ways of selecting three men, two women and three children is:
= ⁴C₃ * ⁶C₂ * ⁵C₃
= (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)
= 4 * 15 * 10
= 600 ways.
Ques:- Standing on a platform, Amit told Sunita that Aligarh was more than ten kilometers but less than fifteen kilometers from there. Sunita knew that it was more than twelve but more than fourteen kilometers from there. If both of them were correct, which of the following could be the distance of Aligarh from the platform?
Ques:- KNOWKEDGE ABOUT CITY
Ques:- What is the difference between smart work and hard work?
Ques:- Are you demanding as a boss?
Ques:- Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
Ques:- A coin is tossed live times. What is the probability that there is at the least one tail?
Ques:- What will u do if you were not selected?
Ques:- Can you accept bond for 3 years irrespective of your experience ?
Ques:- The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Recent Answer : :
30,40
Ques:- How is Ramu’s mother-in-law’s only daughter’s son related to Ramu ?
Recent Answer : :
Ramu’s Mother-in-law means Ramu’s wife’s mother
Only daughter means Ramu’s wife
And daughter’s son means Ramu’s Son
Answer : Son
Ques:- How can you handle customer?
Ques:- For attaining 9% growth rate during 11th plan, investment level has been estimated to be?
Ques:- In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue, what position does Mamta occupy from the front ?
Recent Answer : :
18th
Ques:- If two dies are thrown simultaneously what is the prob. of one of the dice getting face 6 ?
Recent Answer : :
sample space=36
prob of one of the dice getting face 6
i.e n={(1,6)(2,6)(3,6)(4,6)(5,6)(6,1)(6,2)(6,3)(6,4)
(6,5)(6,6)}=11
p=n/s
p=11/36
ans:11/36
Ques:- Explain an occasion where you had to make a decision on your own? Were you happy with your decision making process?
Ques:- WHY YOU CHOOSING THE HR SPELISATION
Ques:- How many hydra is needed for lifting the D-Shakle of 20 ton capacity ?
Ques:- X, Y, Z together started a business. X invested Rs.6000 for 5 months Y invested Rs.3600 for 6 months and Z Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of X?
Ques:- Are you comfortable for working 6 days?
Ques:- Two pipes X and Y can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Ques:- 5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.a) 10b) 7 c) 6 d) 12
Recent Answer : :
7days
Ques:- The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Recent Answer : :
30.5
Ques:- In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Ques:- For measuring 1- 40 kg how many different weight are needed?
Ques:- How quickly do you adapt to new technology?
Ques:- 20% of (A) 6 litre solution and 60% of (B) 4 litre solution are mixed. What percentage of the mixture of solution is A?
Recent Answer : :
Mixture is 1.2 L of A + 2.4L of B which is 3.6L total. 1.2L / 3.6L = 1/3 (0.33)
Ques:- a=2,b=3,c=6 c/(a+b)-(a+b)/c=?
Recent Answer : :
6/(2+3)-(2+3)/6
=6/5-5/6
=(36-25)/30
=11/30
ans is 11/30
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