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 how many years will a sum of money doubles itself at 5% per annum on simple interest?
Ques:- Give two dice – one is a standard dice, the other is blank (nothing painted on any of the faces). The problem is to paint the blank dice in such a manner so that when you roll both of them together, the sum of both the faces should lie between 1 and 12. Numbers from 1-12 (both inclusive) equally likely.
Recent Answer : :
18
Ques:- ” A,B,C,D,E and F are a group of friends. There are two house wives, one professor , one engineer, one accountant and one lawyer in the group.There are only two married couples in the group. The lawyer is married to D, who is a housewife. No women in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to housewife. E is not a housewife. What is E’s profession? “
Recent Answer : :
Lawyer
Ques:- Why do you want to switch to this industry?
Ques:- 2598Successive discounts of 20% and 15% are equal to a single discount of (a) 30%(b) 32% (c) 34% (d) 35% (e) 36
Ques:- A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Recent Answer : :
Total marbles are 15
Blue and yellow are 5
Probability is 5/15
Ques:- If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Recent Answer : :
17.9
Ques:- A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?(a) 3 days(b) 8/9 days(c) 4 days(d) can't say
Recent Answer : :
cant say
If c is 5 times faster than a then he can do it in 2 days alone.
Ques:- How do you respond to change?
Ques:- Have you ever had a supervisor, challenge a decision?
Ques:- How do you plan to achieve these goals?
Ques:- Where u will see after 5 years
Ques:- The number of prime factors in the expression (6)10 x (7)17 x (11)27 is
A. 44
B. 54
C. 64
D. 71
Recent Answer : :
610 × 717 × 1127
= (2 × 3)10 × 717 × 1127
= 210 × 310 × 717 × 1127
Number of prime factors in the given expression
= (10 + 10 + 17 + 27)
= 64
Ques:- A/B = 3/5 15A = ?
Recent Answer : :
5A=3B,
*3 SO,
15A=9B
Ques:- Can you meet the company requirements?
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 : :
C. 22%
Ques:- There N stations on a railroad. After adding X stations on the rail route 46 additional tickets have to be printed. Find N and X
Recent Answer : :
Each PAIR of stations means a PAIR of tickets (A to B and B to A)
2(old stations)(new stations) + 2(new stations)(new stations – 1) = 46
(N * X) + (X * (X – 1)) = 23
factoring ___ X (N + X – 1) = 23
23 is a prime number with only two factors, 1 and 23
so N = 23 and X = 1
Ques:- A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Recent Answer : :
I believe it will be 30 km/hr
Ques:- Who is your role model in life?
Ques:- Why don’t you join your family business?
Ques:- A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Ques:- Did you achieve it last year?
Ques:- In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Ques:- A dwarf-killing giant lines up 10 dwarfs from shortest to tallest.The giant randomly puts a white or black hat on each dwarf. No dwarf can see their own hat. The giant will ask each dwarf, starting with the tallest, if they answer incorrectly, then he will kill them.Each dwarf can hear the previous answers, but cannot hear when a dwarf is killed.The dwarves are given an opportunity to collude before the hats are distributed.What strategy should be used to kill the fewest dwarfs?
Ques:- Can you work well under deadlines or pressure?
Ques:- A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Recent Answer : :
Let:
1. speed of boat in still water = x
2. speed of stream = y;
Then net speed of boat upstream = x – y = 16km / 4 h = 4kmph
Net speed of boat downstream = x + y = 16 / 2 = 8kmph
Now solve for x to get x = 6kmph in still water.
Ques:- What should i answer if my interviewer asks me about my short and long term goals.Tell me with some example?
Ques:- If the project already started and u hired in the middle of the project?what will u do?
Ques:- What sort of decisions are easy for you to make? What sort of decisions are difficult for you to make?
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