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sin 27˚ + sin 29˚ + sin 211˚ + sin 212˚ + ……… + sin 283˚ = (sin2 7˚ + sin2 83˚)+(sin2 9˚ + sin2 81˚) + .…. + (sin2 43˚ + sin2 47˚) + sin2 45˚ = (sin2 7˚ + cos2 7˚) + (sin2 9˚ + cos2 9˚) + .…. + (sin2 43˚ + cos243˚) + sin2 45˚ {As sin (90˚ - θ) = cos θ} = (1)+(1) + .…. upto 19 times + sin2 45˚ { Assin 2θ +cos 2θ= 1} = 19 + sin2 45˚ {As there are 19 odd numbers from 7 to 43}. = 19 + (1/√2)2 {As sin 45˚ =1/√2 } = 19 + 0.5 = 19.5 ` ` ` ` ` ` ` ` ` ` ` `
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Statement: E> T ≥ H = N> I ≤ C
Conclusion:
i) E> i
ii) T Select the correct option from the following.
Which of the following letter-clusters will replace the question mark (?) in the given series to make it logically complete?
ZXV, TRP, NLJ, HFD, ?
Select the option that represents the letters that, when placed from left to right in the blanks below, will complete the letter series.
A C _ G ...
From the given option figures, select the one in which the question figure is hidden/embedded. (rotation is not allowed)
Based on the analogy given, find the missing number from the given options.
11 : 13 : 17 : ---------------
Deepika tells Shraddha “Your mother’s father’s son is the husband of my sister”. How is Deepika related to Shraddha?
What will be the approximate value of the following expression?
44.998 + 44.999 ÷ 8.997 + 7.002 – 20.0019 × 1.995 + 25.025 ÷ 5.016 = ?
...Select the number that is related to the third term in the same way as the second term is related to the first term.
401 : 19 : : 730 :?
