Exams

With a positive attitude you see the bright side of life, become optimistic, and expect the best to happen. It is certainly a state of mind that is well worth developing. Not only it enriches one’s experience of life, but it also paves the way for self-development leading one towards attaining the desired results. As regards employment, it is a valuable thing to maintain positive attitude. Whether you are a manager or a subordinate, maintaining positive attitude in the work place brings lots of benefits while allowing you to fulfill your objectives successfully.
A positive frame of mind can help you in many ways, such as:
- Making you feel inspired.
- Identification.
- Believing in yourself and in your abilities.
- You look for solutions, instead of dwelling on problems.
- The most important thing is building relations.

Let, Hema attempted 'k' sum correctly, then

k x 3 -2 x(35-k) = 60
5k = 130
k = 26

so 26 correct sums.

Let the actual distance travelled be x km.
Then x/8=(x+20)/12
=> 12x = 8x + 160
=> 4x = 160
=> x = 40 km.

Second is the tool used by the first.

Let the Number be x. 

Given that one third of a Number is 96. 

i.e x = 3 x 96 = 288.

 67% of  x = x×67100=288×67100=192.96

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

Perimeter = 36

⇒ 2 ( l + w ) = 36

⇒ l + w = 18

Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :

( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.

Hence, there are 9 rectangles.