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Aptitude Test 283
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Aptitude Test 283

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  • Question 1/10
    1 / -0.33

    What is the unit digit of 1261 × 3474 × 1269?

    Solutions

    Unit digit of 1261 × 3474 × 1269 will be same as unit digit of 1 × 4 × 9

    1 × 4 × 9 = 36

    Unit digit of 36 is 6

    ∴ Unit digit of 1261 × 3474 × 1269 will also be 6.

     

  • Question 2/10
    1 / -0.33

    Solutions

     

  • Question 3/10
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    Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation?

    104.96 + 120.96 + 103.16 - 12.89 × 2.04 + 124.93 ÷ 5.1 = ? 

    Solutions

     

  • Question 4/10
    1 / -0.33

    In the figure given below, SPT is a tangent to the circle at P and O is the centre of the circle. If ∠QPT = α, then what is ∠ POQ equal to?

    Solutions

    ∠OPT = 90° [∵ Radius is perpendicular to tangent]

    ∠OPQ = 90° - ∠QPT = 90° - α

    ∠OQP = 90° - α [∵ OQ = OP]

    In triangle OQP

    ∠O + ∠Q + ∠P = 180°

    ∠O + 90 - α + 90 - α = 180

    ∴ ∠O = 2α

     

  • Question 5/10
    1 / -0.33

    The angles of elevation of the top of a tower from two points P and Q at distances m2 and n2 respectively, from the base and in the same straight line with it are complementary. The height of the tower is

    Solutions

     

  • Question 6/10
    1 / -0.33

    Solutions

    Given:

    sin(A + B) = √3/2 and sec(A - B) = 2/√3

    Calculation:

    We know that Sin60° = √3/2, Sec30° = 2/√3 

    Sin(A + B) = Sin60°

    ⇒ (A + B) = 60°  ---(1)

    Sec(A - B) = Sec30°

    ⇒ (A - B) = 30°  

    ⇒ A = 30° + B

    From equation (1)

    ⇒ 30° + B + B = 60° 

    ⇒ 2B = 30° 

    ⇒ B = 15° 

    By solving equation 1, 2 we have

    A = 45°, B = 15° 

    ∴ The correct answer is A = 45°, B = 15°

     

  • Question 7/10
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    Solutions

     

  • Question 8/10
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    The average age of A and B is 30 years, the average age of B and C is 32 years and the average age of C and A is 34 years. The age of C is

    Solutions

    Given:

    The average age of A and B is 30 years. that of B and C is 32 years and that of C and A is 34 years. 

     

  • Question 9/10
    1 / -0.33

    Directions For Questions

    Directions: The following pie chart shows the expenditure (in percentage) of five companies P, Q, R, S and T in one year 2020.

    ...view full instructions

    What was the total expenditure in (Rs Cr) of the company Q, R & T together?

    Solutions

    Calculation:

    Total expenditure = 48 cr

    The total expenditure of the company Q, R & T together = (22 + 18 + 20)% = 60%

    Now, according to the question

    The total expenditure of the company Q, R & T together = 60% of total expenditure

     

  • Question 10/10
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    Solutions

     

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