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If f(x) = (x^2+7x-44)/(x^2+14x-51), x=! 3 and x=! 17, then find the greatest integral value of 'x'
for which f(x) < 0.

Two boats start towards each other, from the two points exactly opposite of each other on the opposite
banks of a river, simultaneously. They meet at a distance of 410 m from one of the banks and continue
sailing further till they reach the opposite banks. They take rest for 1 hr each and start off the return
journey taking the same route. Now they meet at a distance of 230 m from the other bank. Find the
distance between the two banks. (Assume that river water is still.)
a. 750 m b. 840 m c. 1100 m d. 1000 m

My take :
A-1

vikasneuer Says

Sab peete hain! 100%

A merchant marks up the cost of cloth by 30% and then gives a discount of 20% on the Marked
Price to all his customers. What is his profit/loss percentage in winter when the meter-scale shrinks
by 10% due to cold?

alankritaa Says

In Madhubani, 90% of the people drink coffee, 80% drink tea, 70% drink whiskey and 60% drink vodka. If each person drinks exactly three of the four beverages then what percentage of people drink liquor? Vodka and whiskey are liquors.

5 numbers each of the form 3k,3k+1,3k+2
For divisibility by 3: either both of the form 3k: 5C2
or one of 3k+1, the other of 3k+2:5*5=25
total: 35
In every case, the sum is divisible by 3. We need to remove the cases when it's divisible by 4 as well. i.e. sum=12,24
for 12:{1,11} to {5,7}=5
for 24: {9,15} to {11,13}=2
Total: 28
ye kya? Kaun sa case missing hai Suja bhai?

the cost of fuel consumed per hour by a running train varies as the square of its speed in kmph.the cost is 24 per hour when the speed is 12 kmph.the train incurs addittional cost of 96 for every hour it runs.the minimum cost incurred during a 100 km journey , is.........
options
1000
1200
750
800
600
approach pls

n^2 + 24n + 60 = k^2
n^2 + 24n + 60 + (144-60) = k^2 + (144-60)
n^2 + 24n + 144 = k^2 + 84
(n+12)^2 - k^2 = 84

(n+12+k)(n+12-k) = 84

solutions will be number of ways of writing 84 as a product of 2 numbers.
Total 12 factors.

I guess answer will be 6 values exist for n

n^2 + 24n + 60 = k^2
n^2 + 24n + 60 + (144-60) = k^2 + (144-60)
n^2 + 24n + 144 = k^2 + 84
(n+12)^2 - k^2 = 84

(n+12+k)(n+12-k) = 84

solutions will be number of ways of writing 84 as a product of 2 numbers.
Total 12 factors.

I guess answer will be 6 values exist for n