Question
If a number 'a' is divisible by 18 and another number
'b' is divisible by 12, then (a2 – b2) is divisible by:Solution
Given that a is divisible by 18 and b is divisible by 12, we need to determine what a²-b² is divisible by. The expression a²-b² can be factored as= a²-b²= (a-b) (a+b) Since a is divisible by 18, a can be expressed as a = 18m for some integer m. Since b is divisible by 12, b can be expressed as b = 12n for some integer n. The least common multiple (LCM) of 18 and 12 is 36. Therefore, both a band a+b is divisible by 6 (since they are sums or differences of multiples of 18 and 12). Thus, (a²-b²) is divisible by 36
In the question below some statements are given followed by three conclusions I, II and III. You have to take the given statements to be true even if t...
All buildings are mountains. Some jungles may not be rivers. Some rivers are mountains.
In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be ...
In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be ...
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be tru...
Statements:
Only a few Products are Price.
Only Prices are Place.
No Price is Promotion.
Conclusion
I) Some Pro...
Statements:Â All letters are digits.
          No number is a digits.
          Some words are...
- In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they ...
Statements:
All frames are photos.
No photo is wood.
Only few woods are designs.
Conclusions:
I. A few designs may be...
Statements:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â All TVs are monitors.
                                ...
Relevant for Exams:
