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Difficult Problems in mathematics From post utme (futa 2007)
Mathematics
Chima Sunday (Tutor)
04-04-2016 17:51:00 +0000About 70% of student that try to solve these questions got it wrong. try and see if you can.
Question 9 The sum of two numbers is twice their difference. if the difference of the number is P, find the large of the two numbers.
Option A p/2.
Option B 3p/2.
Option C 3p.
Option D p.
solution.
let the numbers be y and x.
such that y + x = 2(y - x).
but y - x = p-------------------(1).
so y + x = 2p------------------(2).
adding both equations i.e (1) & (2) together to obtain.
2y = 3p.
so y = 3p/2.
subtracting (1) & (2) to obtain.
-2x = -p.
x = p/2.
so since 3p/2 is bigger than p/2, correct option is B .
Question 10 Three consecutive positive integers k, l and m are such that 12 = 3(k + m). Find the values of m + L..
Option A 4.
Option B 7.
Option C 6.
Option D 5 .
solutions
12 = 3(k + m)
so k + m = 4--------------(1)
since the numbers are consecutive, then it follows immediately without loss of generality that
l - k = 1---------------------(2)
m - l = 1--------------------(3)
m - k = 2---------------------(4)
make k subject formula in (1) to obtain
k = 4 - m-----------------(5)
put (5) into (4)
m -(4 - m) = 2
2m = 2 + 4
m = 3
put m into (3)
3 - l = 1
-l = 1 - 3 = -2
l = 2
so m + l = 2 + 3 = 5
correct option is D
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Chima Sunday (Tutor)
Thumbs up to all of you that attempted to solve these problems. keep it up @David Friday, Joel Hogan, Adeyemi Folakemi.
0 06-04-2016 15:25:00 +0000
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