Question
If five even consecutive numbers are arranged in
ascending order then find the third number. Statement I: Third largest number is 120% of the smallest number. Statement II: Difference between 4th largest number and 3rd smallest number is 15. For each of the following questions statements I and II are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question:Solution
Let 5 consecutive even number be x, x+2, x+4, x+6, x+8. Statement I: => x + 4 = 120% of x => 5x + 20 = 6x => x = 20 Therefore the third number is = x + 4 = 20 + 4 = 24 Statement II: => (x + 4) - (x + 2) = 15 => 2 = 15 Therefore, only Statement I is sufficient to answer the question.
If 0 ⤠θ ⤠90°, and sin(2 θ +50°) = cos (4 θ + 16°), then what is the value of θ (in degrees)?
sin10Ë x sin20Ë x sin40Ë =?Â
If (2sin A + cos A) = 3sin A, then find the value of cot A.
If tan 4θ = cot 14θ, then find the value of cos 9θ.
If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).
If â3cosec 2x = 2, then the value of x:
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
- If sin (3A â 4B) = (1/2) and cos (A + B) = (â2/2), where 0° < A, B < 90°, then find the value of âAâ.
If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is:
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