Find the maximum value of abcd(bc + cd + db) given that abc + bcd + acd + dba = 4 and a, b, c, d > 0.
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A man arrives at a railway station 90 before the time at which he had ordered his carriage to meet him. He walks at the rate of 4kmph and meets the carriage 8Km from his house and reaches 1 hour earlier than usual time. whats the speed of the carriage and distance from the station to his house. Please provide solutions.
- 4kmph, 12km
- none of these
- 12kmph, 16km
- 8kmph, 12km
0 voters
Please explain how to find the "No. of favourable outcomes" for the following case :
Hi can someone explain the logic how to solve..
A car shows a particular mileage characteristic in a speed limit of 25 to 80 kmph.It can travel 15 km in 1 ltr of petrol while speeding at 50kmph.From dis point onwards every 5 kmph increase in speed increases d mileage by 1 km and every decrease of 5kmph ,decreases d mileage by 1 km.If aperson filled exactly 10 ltrs of petrol and drives at a speed of 45kmph fr first 2 hrs,then (i)wts d max distance he can cover b4 his tank goes dry ,
(ii)wt can b d maximum span of time fr witz d drive can b enjoyed?
- 80km,24/7hr
- 80km,15/4hr
- 75km,24/7hr
- 75km,15/4hr
0 voters
does anyone have Jeorge summers puzzle pdf?
x^7+y^7=(x+y) x f(x)
then f(x) will be:
i) x^6+x^5y+x^4y^2+x^3y^3+x^2y^4+xy^5+y^6
ii) x^6-x^5y+x^4y^2-x^3y^3+x^2y^4-xy^5+y^6
iii) x^6+7x^5y+21x^4y^2+35x^3y^3+21x^2y^4+7xy^5+y^6
iv) x^6-7x^5y+21x^4y^2-35x^3y^3+21x^2y^4-7xy^5+y^6
Q5
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3 Men,4 Women and 9 Boys can do a work in 28 days .2 Men,3 Women and 7 Boys can do the same work in 40 days .In how many days will 2 Men,1Women and 1 Boy can do the same work?
- 42
- None of these
- 56
- 48
0 voters
For how many integral values of y, y^4 + 4 is a perfect square of a prime number?
- 0
- 1
- 5
- 3
0 voters
In a bag, there are ten black, eight white and five red balls. Three balls are chosen at random and one is found to be black. The probability that the rest two are white is?
The ratio of the cost prices of articles A and B is 4 : 5 respectively and that of their selling prices is 7 : 6 respectively. If the profit on selling article A is 40%, then what is the profit/loss percentage on selling article B?
A tank can be filled in by an inlet pipe of circular cross section in 10 min. Another tank twice as big is filled in by 3 inlet pipes whose diameters are in the ratio 1 : 2 : 3 . If the smallest pipe of these is four times as much in cross section as the pipe of the first tank, find the time taken to fill the second tank. [Speed of water in the second tank is half the speed of the water in the first tank.]
what is remainder when 7^485 is divided by 8?
If 2000! = m * 12^n and m is not divisible by 12, m and n are integers. Find the 3rd last digit of m?
Three boys Ali, Bashar and Chirag are sitting around a round table in that order. Ali has a ball in his hand. Starting from Ali the boy having the ball passes it to either of the two boys. After 6 passes the ball goes back to Ali. How many different ways can the ball be passed?
a candidate takes a test and answers all the questions. his net score is 125.he is awarded 1 mark for right ans and deducted 1/3rd mark for wrong ans.whch of the followng cant be the no. of qsns in the paper??
1)187 2)247 3)209 4)333
How many integers between 1 and 1000000 have the sum of the digits equal to 18 ?
A glass jar contains 25 tokens printed with the integers 1 to 25, one on each token. Ramu and Shyamu randomly pick one token each simultaneously. What is the probability that they pick 2 consecutive integers?
a) 2/25 b) 4/25 c)23/25 d)21/25
Ans is option a)
Kindly explain the solution in a step by step manner if possible