Aptitude Practice Question and Answer

Q:

If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

703 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "24 cm"

Q:

$${1+sinθ}\over cosθ $$ is equal to which of the following (where $$θ ≠ {π\over2} $$

753 0

  • 1
    $${1+cosθ}\over sinθ $$
    Correct
    Wrong
  • 2
    $${tan θ+1}\over tan θ-1 $$
    Correct
    Wrong
  • 3
    $${tan θ-1}\over tan θ+1 $$
    Correct
    Wrong
  • 4
    $$cosθ \over {1-sinθ}\ $$
    Correct
    Wrong
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Answer : 4. "$$cosθ \over {1-sinθ}\ $$"

Q:

if $${x\over 9}+{8\over x}=1$$, then the value of x3 is :

679 0

  • 1
    -256
    Correct
    Wrong
  • 2
    -512
    Correct
    Wrong
  • 3
    256
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "-512 "

Q:

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

685 0

  • 1
    $$2{4\over 5}$$
    Correct
    Wrong
  • 2
    $$2{2\over 5}$$
    Correct
    Wrong
  • 3
    $$3{1\over 5}$$
    Correct
    Wrong
  • 4
    $$1{1\over 5}$$
    Correct
    Wrong
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Answer : 2. "$$2{2\over 5}$$"

Q:

What is the value of a2+b2+c2-2ab-2bc+2ca?

855 0

  • 1
    (2a + b + c)2
    Correct
    Wrong
  • 2

    (a − b + c)2

    Correct
    Wrong
  • 3

    (a − b − 2c)2

    Correct
    Wrong
  • 4

    (a + 2b − c)2

    Correct
    Wrong
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Answer : 2. "

(a − b + c)2

"

Q:

Raju, Shobha and Mohan can do a work in 15 days, 20 days and 25 days respectively. In how many days, will the work be finished, if they do it on alternate days?

1865 0

  • 1
    $$15{9\over 10}$$ days
    Correct
    Wrong
  • 2
    $$18{7\over 10}$$ days
    Correct
    Wrong
  • 3
    $$21{7\over 10}$$ days
    Correct
    Wrong
  • 4
    $$18{9\over 10}$$ days
    Correct
    Wrong
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Answer : 4. "$$18{9\over 10}$$ days"

Q:

if $$a+{1\over a}=5$$, then what is the value of $$a^3+{1\over a^3}$$

607 0

  • 1
    110
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    105
    Correct
    Wrong
  • 4
    -10
    Correct
    Wrong
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Answer : 1. "110 "

Q:

What is the rate of interest per annum for simple interest at which Rs.880 amounts to Rs.913 in $$1{1\over 2}$$years?

773 0

  • 1
    $$2{2\over 3}\%$$
    Correct
    Wrong
  • 2
    $$2{1\over 4}\%$$
    Correct
    Wrong
  • 3
    $$2{1\over 2}\%$$
    Correct
    Wrong
  • 4
    $$2{1\over 3}\%$$
    Correct
    Wrong
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Answer : 3. "$$2{1\over 2}\%$$"

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