Questions asked by someone's smile

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• A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?
  
• Ritu can row downstream 20 kms in 2 hours and upstream 4 km in 2 hours. What is the speed of the current ?
  
• If AB AC PQ are tangents to the circle with centre X and radius XB where AB = 5cm. What will be the perimeter of triangle APQ?
  
• How many real roots does (x^2 +1)^2 - x^2 = 0 has?
  
• A fraction becomes 9/11, if 3 is added to both the numerator and denominator. If 3 is added to both the numerator and denominator it becomes 5/6 as well. So what will be the original fraction?
  
• AD is a median in triangle ABC. If AB^2+AC^2 = 122 and AD = 6. What will be BC?
  
• If X^-2 =64 then what will be the value of 1/x^3 + x^0?
  
• (1)+(1+1)+(1+1+1)+.........+(1+1+1+......n-1 times)= ?
  
• If the equation #x^2-kx+1=0# has no real roots the what is true for k from the following and how ? A k>-2 B. k<2 C. -2<k<2 D. None
  
• If 7 is a prime number then how to prove that √7 is irrational?