Aptitude Practice Question and Answer

Q:

If a3 – b3 – c3 – 3abc = 0, then 

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  • 1
    a = b = c
    Correct
    Wrong
  • 2
    a + b + c = 0
    Correct
    Wrong
  • 3
    a + c = b
    Correct
    Wrong
  • 4
    a = b + c
    Correct
    Wrong
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Answer : 4. "a = b + c"

Q:

ABC is a triangle in which DE || BC and AD: DB = 5: 4. Then DE: BC is

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  • 1
    4:5
    Correct
    Wrong
  • 2
    9:5
    Correct
    Wrong
  • 3
    4:9
    Correct
    Wrong
  • 4
    5:9
    Correct
    Wrong
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Answer : 4. "5:9"

Q:

O, G, I and H are respectively the circumcentre, centroid, incentre and orthocentre of an equilateral triangle. Which of these points are identical?

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  • 1
    O and I only
    Correct
    Wrong
  • 2
    O and G only
    Correct
    Wrong
  • 3
    O, G, I and H
    Correct
    Wrong
  • 4
    O, G and H only
    Correct
    Wrong
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Answer : 3. "O, G, I and H "

Q:

P = 12xy – 10y2 – 18x2,

Q = 14x2 + 12y2 + 9xy, and

R = 5y2 – x2 + xy

then (P + Q) – R =

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  • 1
    22xy – 3x2 + 3y2 
    Correct
    Wrong
  • 2
    22xy + 3x2 – 3y2 
    Correct
    Wrong
  • 3
    20xy – 3x2 – 3y2
    Correct
    Wrong
  • 4
    20xy – 3x2 – 3y2
    Correct
    Wrong
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Answer : 4. "20xy – 3x2 – 3y2"

Q:

AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If ∠CAB = 34°, then measure of ∠CBA is

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  • 1
    56°
    Correct
    Wrong
  • 2
    68°
    Correct
    Wrong
  • 3
    34°
    Correct
    Wrong
  • 4
    124°
    Correct
    Wrong
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Answer : 1. "56° "

Q:

What approximate value should come in the place of question mark (?) in the following question?

1/3 of 785.99 – 11/8 of 1031.99 = ? – 13/4 of 527.98

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  • 1
    428
    Correct
    Wrong
  • 2
    559
    Correct
    Wrong
  • 3
    592
    Correct
    Wrong
  • 4
    487
    Correct
    Wrong
  • 5
    507
    Correct
    Wrong
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Answer : 2. "559"

Q:

If a ≠ b, then which of the following statement is true ?

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  • 1
    $${a+b\over 2}= \sqrt{ab} $$
    Correct
    Wrong
  • 2
    $${a+b\over 2}> \sqrt{ab} $$
    Correct
    Wrong
  • 3
    $${a+b\over 2}< \sqrt{ab} $$
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "$${a+b\over 2}> \sqrt{ab} $$"

Q:

If a shopkeeper sells an article at 10% loss by giving half discount on the marked price, then what will be its cost price?

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  • 1
    1/9 of the face value
    Correct
    Wrong
  • 2
    4/9 of the face value
    Correct
    Wrong
  • 3
    5/9 of the face value
    Correct
    Wrong
  • 4
    7/9 of the face value
    Correct
    Wrong
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Answer : 3. "5/9 of the face value"

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