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  • Question
  • The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?


  • Options
  • A. 80 degrees
  • B. 60 degrees
  • C. 120 degrees
  • D. 40 degrees

  • Correct Answer
  • 60 degrees 

    Explanation

    Given the angles of a quadrilateral are in the ratio of 2:4:7:5
    Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
    But we know that sum of the angles = 360 degrees.
    => 2x + 4x + 7x + 5x = 360
    => x = 20
    Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
    One of the angle of the triangle = 2 x 40 = 80 degrees
    The other angle is 180 - (40 + 80) = 60 degrees.

    Hence the second largest angle of the triangle is 60 degrees.


  • Numbers problems


    Search Results


    • 1. The sum of three consecutive odd numbers is 93. What is the middle number?

    • Options
    • A. 31
    • B. 33
    • C. 29
    • D. 27
    • Discuss
    • 2. What will come in place of the question mark (?) in the following number series? 3240, 540, 108, 27, ?, 4.5

    • Options
    • A. 7
    • B. 10
    • C. 9
    • D. 8
    • Discuss
    • 3. About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?

    • Options
    • A. 40
    • B. 45
    • C. 32
    • D. 30
    • Discuss
    • 4. The difference of two numbers is 11 and (1/5)th of their sum is 9. The numbers are

    • Options
    • A. 31, 20
    • B. 30, 19
    • C. 29, 18
    • D. 28, 17
    • Discuss
    • 5. Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...

    • Options
    • A. 26
    • B. 16
    • C. 17
    • D. 18
    • Discuss
    • 6. If V = 12R / (r + R) , then R =

    • Options
    • A. Vr / (12 - V)
    • B. Vr + (V /12 )
    • C. V
    • D. V / (r - 12 )
    • Discuss
    • 7. If x is a whole number, then x²(x² - 1) is always divisible by ?

    • Options
    • A. 4
    • B. 8
    • C. 12
    • D. None
    • Discuss
    • 8. Find the number of factors of 9321 ?

    • Options
    • A. 4
    • B. 5
    • C. 7
    • D. 8
    • Discuss
    • 9. The product of a number and its multiplicative inverse is

    • Options
    • A. 1
    • B. 0
    • C. -1
    • D. Infinity
    • Discuss
    • 10. 3131×31-27 =?

    • Options
    • A. 961 x 861
    • B. 961 x 961
    • C. 961 x 2
    • D. 29791
    • Discuss


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