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**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?**

**Ques:- The ratio fo Boys to Girls is 6:4. 60% of the boys and 40% of girls take lunch in the canteen. What % of class takes lunch in canteen.**

**Recent Answer**: :

(60/100)*60 + (40/100)*40

=52%

**Ques:- In 1978, a kg of paper was sold at Rs25/-. I f the paper rate increases at 1.5% more than inflation rate which is of 6.5% a year , then what wil be the cost of a kg of paper after 2 years? a)29.12 (b) 29.72 (c) 30.12 (d) 32.65 (e) none of these**

**Recent Answer**: :

(a) 29.12 (actual)

first year rate of paper (inflation rate) : 25 + 25 *

6.5/100 = 26.625

paper rate in first year is 1.5 % more . ..thr4

inflated cost in 1 yr = 26.625 + 1.5 / 100 * 26.625 =

27.024.

second year : 27.024 + 27.024 * 6.5 / 100 = 28.78

paper cost : 1.5 /100 * 28.78 + 28.78 = 29.12 ( approx..)

**Ques:- A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blu to paint?**

**Recent Answer**: :

Mr. Brown painted the first whole house in 6 days plus 1/3 of the second house in the next 2 days. Mr. Black can paint a whole house in 8 days and had 8 days to work, so he painted the equivalent of 1 whole house. That accounts for 2-1/3 houses painted. Mr. Blue only needs to paint 2/3 of the last house, so 2/3 times 12 days equals 8 days.

**Ques:- If A,B,C,D,E are 5 members of a family. 4 of them speak truth: 1. E is my mother in law 2. C is my son in law's brother 3. B is my father's brother 4. A is my brother's wife Who speaks false? and what r the relations among them…**

**Ques:- Tell about your college day life**

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**Ques:- Your interested in fmcg but why do you choose insurance sector**

**Ques:- How to tell the team about his past work performance?**

**Ques:- What you will be Good carrier**

**Ques:- In a Bag the ratio of the no. of white balls to black balls is 1:2. If 9 grey balls are added the ratio of nos. of white, black and grey become 2:4:3. What is the number of black balls in the bag?**

**Recent Answer**: :

12

**Ques:- The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is?**

**Recent Answer**: :

23. 15s squre is 225and 8 squre is 64 addition is 289 product also 120 addition 15+8=23

**Ques:- Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?**

**Recent Answer**: :

6/11 or 54.54%

**Ques:- A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?**

**Ques:- What is the least number of four digits which is divisible by 4, 6, 8 and 10 ?**

**Recent Answer**: :

LCM of 4,6,8 and 10 are 120

So, the least number of four digits is 120*9=1080 ( <1000 )

**Ques:- Raman ranks sixteenth from the top and forty ninth from the bottom in a class. How many students are there in the class ?**

**Ques:- A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?**

**Ques:- The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam?**

**Recent Answer**: :

-Total /n=80

– x/5=40

x=200

Total/n=y/n

y-x/n-5=90

80n-200=90(n-5)

80n-200=90n-450

450-200=10n

n =25 (students) write exam

**Ques:- A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?**

**Recent Answer**: :

the answer is 45 km/h

Define x:

Let the total distance be x.

Find the time needed in terms of x for speed at 30 km/h:

Find the time needed in term of x for 40 km./h:

Find the difference in time:

Solve x:

Find the total time needed to for the whole journey:

Given that he was 40 mins late:

Find the minimum speed needed:

Answer: The minimum speed is 45 km/h

**Ques:- If you were given 10 lakhs what business you would like to open and why?**

**Ques:- Have you been absent from work more than a few days in any previous position?**

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