For the following questions answer them individually
The distance from B to C is thrice that from A to B. Two trains travel from A to C via B.Ā The speed of train 2 is double that of train 1 while traveling from A to B and theirĀ speeds are interchanged while traveling from B to C. The ratio of the time taken byĀ train 1 to that taken by train 2 in travelling from A to C is
John takes twice as much time as Jack to finish a job. Jack and Jim together takeĀ one-thirds of the time to finish the job than John takes working alone. Moreover, inĀ order to finish the job, John takes three days more than that taken by three of themĀ working together. In how many days will Jim finish the job working alone?
Let $$f(x)=x^{2}+ax+b$$ and $$g(x)=f(x+1)-f(x-1)$$. If $$f(x)\geq0$$ for all real x, and $$g(20)=72$$. then the smallest possible value of b is
For the same principal amount, the compound interest for two years at 5% perĀ annum exceeds the simple interest for three years at 3% per annum by Rs 1125.Ā Then the principal amount in rupees is
Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C thatĀ passes through points A and B where A is located 4 meters north of O and B is locatedĀ 3 meters east of O. Then, the length of PQ, in meters, is nearest to
In a car race, car A beats car B by 45 km. car B beats car C by 50 km. and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is
How many 4-digit numbers, each greater than 1000 and each having all four digitsĀ distinct, are there with 7 coming before 3?
The sum of the perimeters of an equilateral triangle and a rectangle is 90cm. The area, T, of the triangle and the area, R, of the rectangle, both in sq cm, satisfying the relationship $$R=T^{2}$$. If the sides of the rectangle are in the ratio 1:3, then the length, in cm, of the longer side of the rectangle, is
A sum of money is split among Amal, Sunil and Mita so that the ratio of the sharesĀ of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If theĀ difference between the largest and the smallest of these three shares is Rs.400,Ā then Sunilās share, in rupees, is
The value of $$\log_{a}({\frac{a}{b}})+\log_{b}({\frac{b}{a}})$$, for $$1<a\leq b$$ cannot be equal to
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