Aptitude and Reasoning Questions

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. All insects are dangerous.

II. All machines are dangerous.

Conclusions:

I. All dangerous are insects.

II. All dangerous are machines.

III. Some machines are insects.

3 men dig a hole in 10 days. How many days would it take for 5 men to dg the same hole?

 Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number? 

Out of the 100 nature lovers, 20 people wanted to see only bison, 30 wanted to see both bison and tiger, 15 wanted to see only leopard, 25 wanted to see only tiger, 5 wanted to see both bison and leopard and the remaining wanted to see only bear.

How many people who wanted to see bison did not want to see leopard?

A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 p.m. on the same day. If the speed of the train is 15 m/s, then what will be the distance (in km) covered by the train?

A number 35786X625 is completely divisible by 9, find the smallest whole digit number in the place of ‘X’.

Select the odd word/letters/number/number pair from the given alternatives.