Ques:- A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Recent Answer : Added by Mubeen Mahomed On 2021-08-28 11:27:12:
Can someone confirm that it is : 5/9 * 4/8 * 3/7 = 11.9% that you choose 3 good bulbs in a row
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
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
Ques:- The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
Recent Answer : Added by Suriya.B On 2023-05-22 09:15:15:
6+8+10+10= 36
6²+8²+10²+12²=344
Ques:- If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R?
A. 25
B. 34
C. 50
D. 2500
E. 1500
Recent Answer : Added by Goutam On 2022-08-14 16:34:18:
c 50
Ques:- A swimmer jumps from a bridge over a canal and swims 1 kilometer stream up. After that first kilometer, he passes a floating cork. He continues swimming for half an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed. How fast does the water in the canal flow?
Recent Answer : Added by ANTONYSAMY Santhanamarian On 2021-11-09 15:53:51:
1 km/hr
Ques:- In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?
A. 8
B. 6
C. 2
D. 5
E. 4
Recent Answer : Added by Swarup On 2021-12-23 16:25:57:
4
Ques:- There is a room with a door (closed) and three light bulbs. Outside the room there are three switches, connected to the bulbs. You may manipulate the switches as you wish, but once you open the door you can't change them. Identify each switch with its bulb.
Recent Answer : Added by DK BOSS On 2021-07-30 16:27:15:
Turn on a switch and leave it for some ten minutes. Turn it off, turn a second one on and open the door and go into the room. The glowing bulb corresponds to second switch. The bulb that is hot corresponds to first switch, as it was turned on for ten minutes and have heated up. The cold and not-glowing bulb corresponds to the third switch
Ques:- When did you last coordinate your work with others in a team project? What was your most successful contribution?
Ques:- At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Recent Answer : Added by md nizam On 2022-12-20 12:54:18:
4%
Ques:- If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there.
Recent Answer : Added by gkt On 2021-11-09 15:53:15:
total no of 4 wheelers: 40
total no of 2 wheelers: 18
Ques:- TYPE OF WELDING
Ques:- What if you did’nt get any growth in our company even working for 3 or 4 years.
Ques:- How many litres of pure acid are there in 8 litres of a 20% solution?
A. 1.4
B. 1.5
C. 1.6
D. 2.4
Recent Answer : Added by Kasoja Shiva On 2022-03-09 16:26:30:
1.6
Ques:- What is your work experience and how do you give your best to our company
Ques:- Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Ques:- The average of first 10 odd numbers is?
Recent Answer : Added by nani Reddy On 2021-08-05 17:11:28:
first 10 odd num are 1,3,5,7,9,11,13,15,17,19
sum=100
avg=100/10
avg of 10 odd num =10
Ques:- How flexible are you in working in rotational shifts?
Ques:- Knowledge gained in overall job experience
Ques:- For cascaded 1800 BTS with master 900 BTS,if 900 master BTS is down for its own equipment fault,cascaded slave 1800 BTS gets down/stop carrying traffic without any fault as BCCH and other controllong channels are in master 900 BTS.Is there any technology/
Recent Answer : Added by DK BOSS On 2021-07-30 16:26:20:
Might be using dual E1 in that case will be much more helpful.
Ques:- Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Recent Answer : Added by Rajarshi Gangopadhyay On 2021-12-13 17:58:43:
3
Ques:- What is the missing number in the series 2, 6, 12, 20, 30, ..?
A. 72
B. 42
C. 52
D. 62
E. 56
Recent Answer : Added by ANTONIS AJAY SOLOMON On 2022-10-11 16:07:08:
The answer is 42
Ques:- Tell about your teaching experience in Maldives.
Ques:- If a sum of money compound annually amounts of thrice itself in 3 years. In how many years will it become 9 times itself.
A. 6
B. 8
C. 10
D. 12
E. 14
Recent Answer : Added by Mariam Mubarak On 2022-01-16 17:19:10:
6
Ques:- Tell about yourself ie, education,experience etc..
Ques:- I ASKED A WOMAN WHAT WAS HER AGE?. SHE REPLIED THAT HER HUSBAND’S AGE IS REVERSE OF HER. AND THE DIFFERENCE BETWEEN THEIR AGES IS ONE ELEVENTH OF THEIR SUM. FIND OUT WHAT WAS HER AGE AND HER HUSBAND’S AGE?.
Recent Answer : Added by Admin On 2020-05-17 12:05:22:
Solution # 15-18
Sitting solution be- D T M B H R
Ans 15 :Mr. D
ans 16 : 1 2 3
Ans 17 : 3
Ans 18 : Mr B Suffering from anemia.
Ques:- A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Ques:- Can u give me an example of a project you were involved with that illustrates your interest and skills in bringing people together?
Ques:- Do you consider your progress on the job representative of your ability? Why?
Ques:- 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Recent Answer : Added by Robert Blackwell On 2022-09-02 17:04:29:
That will depend heavily on when in the journey the 200 men join.
Can someone confirm that it is : 5/9 * 4/8 * 3/7 = 11.9% that you choose 3 good bulbs in a row