Aptitude and Reasoning Questions

If sinθ x cosθ = 1⁄2 . The value of sinθ ­- cosθ is where 0°< θ< 90°

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement 1 : No shirts are t-shirts.
Statement 2 : All t-shirts are cotton.

Conclusion I : Some shirts are cotton.
Conclusion II : No t-shirts are shirts.

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

One or two statements are given followed by two conclusions/assumptions, I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from the given statement. Indicate your answer.
Statements: 1. All mangoes are golden in colour. 2. No golden coloured things are cheap.
Conclusions: I. All mangoes are cheap. II. Golden-coloured mangoes are not cheap.

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

If it is Saturday on 27th September, what day will it be on 27th October of the same year?

Rearrange the jumbled up letters to form a meaningful word and find the odd one out.

If 'whom' means 'x', 'she' means '/', 'will' means '+' and 'come' means '-', then what will the value of ' 8 when 12 will 16 she 2 come 10'?