Mathematics Test 66

Result

Mathematics Test 66

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Weekly Quiz Competition

Question 1
4 / -1

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2√2 units in the south-westwards direction. Then its new position in the Argand plane is at the point represented by:

A
2 + 2i

B
1 + i

C
−1−i

D
y²= x
Question 2
4 / -1

If b∈C and the equations x²+bx−1=0 and x²+x+b=0 have a common root different from −1,then |b| is equal to:

A
√2

B
2

C
3

D
√3
Question 3
4 / -1

If the four letter words (need not be meaningful) are to be formed using the letters from the word “MEDITERRANEAN” such that the first letter is R and the fourth letter is E, then the total number of all such words is:

A
11!/ (2!)³

B
110

C
59

D
56
Question 4
4 / -1

Let x, y, z be positive real numbers such that x+y+z=12 and x³y⁴z⁵=(0.1)(600)³. Then x³+y³+z³ is equal to:

A
270

B
250

C
342

D
216