Maths Practice Question and Answer

Q:

From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is

1903 0

  • 1
    125√3
    Correct
    Wrong
  • 2
    125(√3-1)
    Correct
    Wrong
  • 3
    125/(√3-1)
    Correct
    Wrong
  • 4
    125/(√3+1)
    Correct
    Wrong
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Answer : 2. "125(√3-1) "

Q:

This line graph shows the scores of a batsman in 6 consecutive matches. What is the range of his scores?

1903 0

  • 1
    53
    Correct
    Wrong
  • 2
    43
    Correct
    Wrong
  • 3
    41
    Correct
    Wrong
  • 4
    51
    Correct
    Wrong
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Answer : 1. "53"

Q:

A batman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

1903 0

  • 1
    28
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    36
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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Answer : 3. "36"

Q:

The pie chart given below shows the number of shoes of 5 different brands in a multi brand store. There are total 1200 shoes.

Puma shoes are how much percent more than the Nike Shoes?

1903 0

  • 1
    14.28
    Correct
    Wrong
  • 2
    16.66
    Correct
    Wrong
  • 3
    25
    Correct
    Wrong
  • 4
    21.33
    Correct
    Wrong
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Answer : 2. "16.66"

Q:

The largest 4 - digit number exactly divisible by each of 12, 15, 18 and 27 is : 

1903 0

  • 1
    9930
    Correct
    Wrong
  • 2
    9960
    Correct
    Wrong
  • 3
    9690
    Correct
    Wrong
  • 4
    9720
    Correct
    Wrong
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Answer : 4. "9720 "

Q:

The ratio of present ages of Shyam and Sohan is 7: 8 respectively. Four year hence this ratio becomes 9: 10 respectively. What is Shyam's present age in years?

1902 0

  • 1
    12
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "14"

Q:

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

1902 0

  • 1
    $$ {tan^2{θ}}+cot^2{θ}$$
    Correct
    Wrong
  • 2
    $$ tanθ+cotθ$$
    Correct
    Wrong
  • 3
    $$ sinθ+cosθ$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "$$ tanθ+cotθ$$"
Explanation :

$$ \sqrt {sec^2{θ}+cosec^2{θ}}$$
We know that
$$ {1+tan^2{θ}}={sec^2θ}$$
$$ {1+cot^2{θ}}={cosec^2{θ}}$$
$$ \sqrt {1+tan^2{θ}+1+cot^2{θ}}$$

Q:

If 2sin2 θ – 3 sin θ + 1 = 0,   θ being positive angle, then the values of θ are : 

1901 0

  • 1
    $$ 30^0, 90^0$$
    Correct
    Wrong
  • 2
    $$ 60^0, 55^0$$
    Correct
    Wrong
  • 3
    $$ 60^0, 45^0$$
    Correct
    Wrong
  • 4
    $$ 45^0, 55^0$$
    Correct
    Wrong
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Answer : 1. "$$ 30^0, 90^0$$"

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