Aptitude and Reasoning Questions

MATHEMATICS is related to NUMBERS in the same way HISTORY is related to

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

Find the odd word/letters/number from the given alternatives.

In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
a_b_a_c_a_bc

A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

Given is a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement.
Statement:
All the species of plants and animals are part of biodiversity and ecosystems and play major role in the overall health of the environment.
Assumptions:
I. Preserve or create a backyard habitat. Save as many native plants as you can when building or landscaping.
II. One of the major goals of sustainability is to preserve biodiversity. All life on Earth is connected through the flow of energy (planetary food web), and each time a species becomes endangered or lost to extinction, one more part of that energy flow is lost.

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is