Aptitude and Reasoning Questions

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 I: All icons are drawings

Statement II: No portraits are icons

Conclusion I: Some drawings are portraits

Conclusion II: All portraits are drawings

A and B start from the same point. A cycles 10 km South, then turns to her right and cycles 9 km. B cycles 2 km North, then turns West and cycles 15 km, then turns to her left and cycles 12 km. Where is B with respect to A now?

Select the missing number from the given responses:

Ram leaves his house at 20 mins to seven in the morning, reaches Kunal's house in 25 mins. They finish their breakfast in another 15 mins and leave for their office which takes another 35 minutes. At what time do they leave Kunal's house to reach their office?

The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
1, 7, 42, 210, 840, ?

A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of theconical heap is 24 cm, what is the radius of its base?

What is the value of (cos30° + 1/2) ?