PYQs Based Test - 12 : General Aptitude

For 0 ≤ x ≤ 2π, sin x and cos x are both decreasing functions in the interval ________.

Arrange the following three-dimensional objects in the descending order of their volumes:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii) A cube of side 8 cm

(iii) A cylinder with base radius 7 cm and height 7 cm

(iv) A sphere of radius 7 cm

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows:

Statements :

I. No manager is a leader.

II. All leaders are executives.

Conclusions :

I. No manager is an executive.

II. No executive is a manager.

If x²+ x − 1 = 0 what is the value of $x^4+\frac{1}{x^4}?$