Question
Time is taken by two trains running in opposite
directions to cross a man standing on the platform in 28 seconds and 18 seconds respectively. It took 24 seconds for the trains to cross each other. What is the ratio of their speeds?Solution
Let the speed one train be x m/s and the speed of the second train be y m/s. Length of the first train = Speed × Time = 28x Length of second train = Speed × Time = 18y So, {(28x + 18y)/(x + y)} = 24 ⇒ 28x + 18y = 24x + 24y ⇒ 4x = 6y Therefore, x: y = 3:2
Solve the equation:
3(x − 2) + 4(2x + 1) = 5(2x − 3) + 7
Solve for x (x > 1):
log₃(x − 1) + log₃(x + 1) = 2
The value of = 3/4 ÷ 3/4 of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :
Solve the cubic equation, x³ − 7x² + 14x − 8 = 0 and Find all real roots.
If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
Determine the remainder when equation 4a3Â - 5a2Â + 2a + 1 is divided by (4a - 3) .Â
If x + y + z = 0, then what is the value of (3y2 + x2 + z2)/(2y2 – xz)?
(I) 10x2 - 7x + 1 = 0 (II) 35y2 - 12y + 1 =0
An urn contains 3 green, 5 blue, 6 black and 4 yellow marbles.
Quantity I – If two marbles are picked at random, what is the probability th...
Quantity I – In how many ways letters of MOBILE can be arranged when vowels are always together.
Quantity II – In how many ways let...
Relevant for Exams:
