Question
MN is a diameter of a circle with centre O. The tangent
at 'P' meets MN produced at 'Q'. If ∠PMN = 44 ° , then find ∠PNQ.Solution
Angle made by the diameter of a circle on the arc of the circle is 90 o  i.e. ∠MPN = 90 ° .
Sum of each angle in a triangle is 180 o .
So, ∠PMN + ∠PNM + ∠MPN = 180 °
Or, 44 °  + ∠PNM + 90 °  = 180 °
Or, ∠PNM = 180 °  - 134 °
Or, ∠PNM = 46 °
Now, ∠PNM + ∠PNQ = 180 o  (Linear pair of angles)
So, ∠PNQ = 180 - 46 = 134 °
Direction: Which of the following will replace ‘?’ in the given question?
10, 12, ‘?’, 27, 36, 45, 54, 63, 72
Which of the following numbers will replace the question mark (?) in the given series?
69, 70, 74, 83, ?, 124
12, 23, 68, 271, 1354, ?
Given below are two number series I and II where each series has a wrong (odd one out) number. The number that will actually come in place of the wrong ...
2 5 16 65 326 ?
18 113 559 2247 6721 13451
...1, 1, 1.5, 3, 7.5 , ?
2, 12, 36, 80, ?, 252
140Â Â Â Â 300Â Â Â Â 380Â Â Â Â Â 420Â Â Â Â Â 440Â Â Â Â Â ?
...12Â Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â 12Â Â Â Â Â Â Â Â Â Â 4.5Â Â Â Â Â Â Â Â Â 15
18      �...
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