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√(2x - 3) + √(2x + 3) = 3 + √3 Squaring on both sides, {√(2x - 3) + √(2x + 3)}2 = (3 + √3)2 or 2x - 3 + 2x + 3 + 2 √{(2x)2 - (3) 2} = 9 + 3 + 2 x 3 √3 `` ` ` or 4x + 2 √{4x2 - 9 2} = 12 + 6 √3 So by comparing the constant part of LHS & RHS, 4x = 12 or x = 3
Train A crosses another train B running in the opposite direction in 180 seconds. What is the speed of the train A?
Statement I - Speed o...
There are 7 people in a group. Average age of the group decreases by 5 when two more people join the group. Find the average age of the new group.
<...What was the sum of the ages of the father and the daughter 5 years earlier?
A. Ratio of the father’s present age to...
What is the cost of fencing a rectangular plot?
I. The length of the plot is thrice its breadth.
II. The cost of fencing is Rs. 16 per met...
What is the value of a two digit number?
Statement I: The sum of the digits of the number is 9.
Statement II: The digit at the tens...
Rohit, Dhawan, Virat, Dhoni and Mayank are five friends. Their mean age is 28. What is the age of Virat?
Statement I : Rohit’s age is 28
Find the Income of Suleiman?
Statement I: Suleiman's income exceeds Salman's by Rs. 8000, and Salman's savings amount to Rs. 15,000.
State...
What is the speed of boat A in still water?
Statement I: Boat A takes 4 hours to travel 48 km downstream, while the speed of the current is 3 km/...
What is marked price of the product?
Statement I – After giving the 10% discount on mark price the shopkeeper make a profit of Rs. 45 by sell...
What is the time taken by train to go from Station A to Station B?
Statement I: If the train increases its speed by 20%, then it reaches 40 m...
