Basic mathematics test 1


      
                 


IOQM_KVPY_BASIC MATH_01
All answers are integers, don't include any symbols. But if your answer is -x, write-x, like if answer is-21, write -21.

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Basic Mathematics
1)If n students together can finish an assignment in 9 days, then find out in how many days they will finish the assignment if the students join after a regular interval of time and stays till the work is completed, such that the last student works for 1/8 th times of the first student.
2)(a+2b-52)²+(b+3c-113)²+(2a+c-55)²=0, find the value of abc/62
3)p²+pq+q²=25, q²+qr+r²=49, p²+rp+r²=36, Find [k] , if k=a+b+c, ( [●] indicates greatest integer function)
4)Compute: (20×21×22×23+1)⁰·⁵
5)if abc(a+b+c)=4 , find the maximum value of (a+b)(b+c).
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8)If x,y are real number satisfying the given equation, find x+y.
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