Ques:- The largest natural number by which the product of three consecutive even natural numbers is always divisible by
A. 16
B. 24
C. 48
D. 96
Recent Answer : Added by Shashank Panddey On 2022-09-15 16:36:27:
Let three consecutive even numbers be 2n,2n+2,2n+4
product=2n(2n+2)(2n+4)
If n=1,
product =2(4)(6)=48.
So, all the numbers will be divisible by 48 if change n.
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Ques:- A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec,find its length is?
Recent Answer : Added by Fatima On 2022-09-24 14:33:37:
It is assumed to be constant. Now, to cross past the pole, the train should cover a distance of x meters. Now, the time taken by the train to cross a platform of length 100 m is 25 seconds. Hence, the length of the train is 150 m.
Ques:- A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Recent Answer : Added by Uday On 2022-03-11 17:00:33:
540 meters or 0.54 km
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Ques:- The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. The second number is
A. 50
B. 100
C. 105
D. 125
Recent Answer : Added by Pavani On 2023-05-02 06:08:20:
125
Ques:- Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Recent Answer : Added by Meher Teja On 2021-03-02 17:09:36:
T=Distance/speed
T=(150+200)/(120×5/18)
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Ques:- In a certain code, PEAK is written as 3512 and DINE is written as 6895. How is KIND written in that code?
Recent Answer : Added by S pushpa On 2021-06-17 10:43:50:
C-2896
Ques:- . In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
Recent Answer : Added by Admin On 2020-05-17 12:04:01:
Total game played= 60
%won =30%
Total won= 60*30/100 i.e. 18
now team plays x games and win all of those to increase the
average to 50%.
So,
(60+x)*50/100=18+x
(60+x)/2=18+x
60+x=36+2x
24=x
So the final answer is 24.
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Ques:- The cost of 17 apples, 9 oranges , 13 bananas is rs 130 , whereas cost of 13 oranges, 7 apples and 10 bananas is rs 100. find the cost of 1 apple , 1 banana and 1 orange put together?
Recent Answer : Added by Admin On 2022-09-27 18:08:58:
Let cost for apple be a Cost for banana be b and Orange be c
So by first value expression becomes 17a + 13b + 9c =130 ———-1 therefore if you further solve a = (130 – 13b – 9c)/17 ———- 2 the second expression becomes: 13c + 7a + 10b = 100 ———- 3 If you put value of a in second expression it becomes: 13c + 7[(130 – 3b – 9c)/17] +10b = 100
Further if you solve you get value of b:
b = 10 – 2c ———-4
put value of b from 4 in 1
17a + 13 [10 – 2c] + 9c = 130
Further if you solve you find value of a
a = c ———-5
Put 5 in 3
13c + 7c + 10b = 100
further solve you get: c = 1 ———-6
from 5 and 6
a = c = 1 ———-7
Substitute value of c in expression 4
b = 10 – 2c b = 10 -2 * 1 b = 8 ———-8
therefore a + b + c = 10
Ques:- In a Park, N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song ? one pair immediately after the other. If the total time taken for singing is 28 minutes, what is N?
Recent Answer : Added by Admin On 2022-09-29 18:42:28:
Total number of pairs is NC2^{N}C_2NC2. Number of pairs standing next to each other = N. Therefore, number of pairs in question = NC2^{N}C_2NC2 – N = 28/2 = 14. If N = 7,
7C2 – 7 = 21 – 7 = 14….
N =7
Let three consecutive even numbers be 2n,2n+2,2n+4
product=2n(2n+2)(2n+4)
If n=1,
product =2(4)(6)=48.
So, all the numbers will be divisible by 48 if change n.