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MCQs

Total Questions : 72 | Page 1 of 8 pages
Question 1. A man can hit the target once in four shots. If he fires four shots in succession, what is the probability that he will hit the target?
  1.    1
  2.    1/256
  3.    81/256
  4.    175/256
 Discuss Question
Answer: Option D. -> 175/256




Question 2. In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?
  1.    56
  2.    73
  3.    80
  4.    100
 Discuss Question
Answer: Option A. -> 56




Question 3. If N = 82^3 - 62^3 - 203 then N is divisible by:
  1.    31 and 41
  2.    13 and 67
  3.    17 and 7
  4.    none
 Discuss Question
Answer: Option A. -> 31 and 41




Question 4. The area bounded by curve y = 4x “ x2 and x “ axis is
  1.    30 / 7 sq. units
  2.    31 / 7sq. units
  3.    32 / 3 sq. units
  4.    34 / 3 sq. units
 Discuss Question
Answer: Option C. -> 32 / 3 sq. units




Question 5. A hexagon of side a cm is folded along its edges to obtain another hexagon What is the % decrease in the area aof orignal hexagon ?
  1.    70%
  2.    75%
  3.    80%
  4.    60%
 Discuss Question
Answer: Option B. -> 75%




Question 6. Centre of circle whose normals are x2 - 2xy - 3x + 6y = 0 is
  1.    (3 , 3 / 2)
  2.    (3 / 2 , 3)
  3.    (-3 , 3 / 2)
  4.    (-3 , -3 / 2)
 Discuss Question
Answer: Option A. -> (3 , 3 / 2)




Question 7. The angle between the tangents drawn from the origin to the parabola y2 = 4a (x “ a) is
  1.    900
  2.    300
  3.    tan-1(½)
  4.    450
 Discuss Question
Answer: Option A. -> 900




Question 8. Centre of a circle is (2, 3). If the line x + y = 1 touches, its equation is
  1.    x2 + y2 - 4x - 6y + 4 = 0
  2.    x2 + y2 - 4x - 6y + 5 = 0
  3.    x2 + y2 - 4x - 6y - 5 = 0
  4.    None of these
 Discuss Question
Answer: Option B. -> x2 + y2 - 4x - 6y + 5 = 0




Question 9. The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x2 + y2 = 9 is
  1.    (3 / 2 , 1 / 2)
  2.    (1 / 2 , 3 / 2)
  3.    (1 / 2 , 1 / 2)
  4.    (1 / 2 , -2½)
 Discuss Question
Answer: Option D. -> (1 / 2 , -2½)




Question 10. The line y = mx + 1 is a tangent to the parabola y2 = 4x if
  1.    m = 1
  2.    m = 2
  3.    m = 3
  4.    m = 4
 Discuss Question
Answer: Option A. -> m = 1




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