മലയാള സാഹിത്യം - വയലാർ രാമവർമ കൃതികൾ

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Central Building Research Institute: Roorkee (UP).
Central Drug Research Institute: Lucknow (UP).
Central Food Technological Research Institute: Mysore.
Central Leather Research Institute: Chennai.
Central Mining Research Station: Dhanbad (Bihar).
Central Road Research Institute: New Delhi.
Indian Institute of Petroleum: Dehra Dun (Uttaranchal).
National Aeronautical Laboratory: Bangalore.
National Chemical Laboratory: Pune.
National Environment Engineering Research Institute (NEERI): Nagpur.
National Institute of Oceanography: Panaji (Goa).
National Physical Laboratory: New Delhi.
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N = the number of terms  .

S = the sum of the numbers in the set.

Average = S/N .


For example.

The marks of a student in five subjects are 96, 94, 92, 87, and 81, then what is the average score of the student?.

N = 5.

S = 96 + 94 + 92 + 87 + 81 = 450.

A = 450/5 = 90.


Another type questions .

1). There are 36 boys and 44 girls in a class. The average score of boys is 40 and girls are 35. Then what will be the average mark? .


Total mark of 36 boys = 36 x 40 = 1440.

Total mark of 44 girls = 35 x 44 = 1540.

Total mark of 80 Students = 1440 + 1540 = 2980 .

Average mark of the class = (2980 / 80).

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Sum of first "n" Natural numbers =n❲ n+1 ∕ 2 ❳.
Sum of first "n" Odd numbers =n².
Sum of first "n" even numbers =n(n+1).
1²+2²+3²+....n(n+1)(2n+1)/6.
1³+2³+3³+....[n(n+1)/2].
The product of two numbers=Product of their HCF and LCM .
ആദ്യത്തെ 'n' എണ്ണൽ സംഖ്യകളുടെ തുക = n(n+1) /2.
ആദ്യത്തെ 'n' ഒറ്റ സംഖ്യകളുടെ തുക = n².
ആദ്യത്തെ 'n' ഇരട്ട സംഖ്യകളുടെ തുക = n(n+1).
ആദ്യത്തെ 'n' എണ്ണൽ സംഖ്യകളുടെ വർഗ്ഗങ്ങളുടെ തുക = n(n+1)(2n+1) / 6.
ആദ്യത്തെ 'n' എണ്ണൽ സംഖ്യകളുടെ ക്യൂബുകളുടെ തുക = [n(n+1) / 2]².
ആദ്യ പദം 'a', പൊതു വ്യത്യാസം 'd' ആ�...

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