Questions asked by Joshika

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• If n is a natural number whuch when divided by4 leaves a remainder 3, then what is the remainder obtained when #n^2 + 6n - 10# is divided by 8?
  
• A certain number when divided by a certain divisor leaves a remainder 20. When twice the number id divided by the same divisor then the remainder is 9. What is the 15th multiple of the divisor ?
  
• If #x^3 - ( x+1) ^2 = 2001# then what is the value of x?
  
• A stationary ball weighing 0.25 kg aquires a speed of 10m/s when hit by a hockey stick. What is the impulse imparted to ball?
  
• A solid weighs 32 gf in air and 28.8 gf in water. What is the relative density of the solid?
  
• A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out 2 socks at random. What is the probability that they will match?
  
• Given right triangle ABC with legs BC = 3, AC = 4. What is the length of the shorter angle trisector from C to the hypotenuse ?
  
• The length of a tangent, drawn from a point A to a circle, is #4/3# of the radius r. What is the shortest distance from A to the circle ?
  
• In triangle ABC, BD is a median. CF intersects BD at E so that BE = ED. Point F is on AB. Then, if BF = 5. What is the value of AB?
  
• X takes 3 hrs more than Y to walk 30 km. But, if X doubles his pace, he is ahead of Y by 1.5 hrs. What is their speed of walking?
  
• If the nth term of an arithmetic progression is given by 19 - 6n, then what is the sum of the first 33 terms of the AP?
  
• The refractive index of the material of a double convex lens is 1.5 and its focal length is 5cm. If the radius of curvature of faces are equal, what is the radius of curvature?