Question : If the sides of a right-angled triangle are three consecutive integers, then the length of the smallest side is
Option 1: 3 units
Option 2: 2 units
Option 3: 4 units
Option 4: 5 units
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Correct Answer: 3 units
Solution : Let one side of a right-angled triangle be $x$. Shortest side = $x-1$ Longest side = $x +1$ Since the three sides form a right-angled triangle. $(x+1)^2=(x-1)^2+x^2$ ⇒ $x^2+1+2x=x^2+1-2x+x^2$ ⇒ $x^2=4x$ ⇒$x=4$ Thus, shortest side = $x-1=4-1=3$ Hence, the correct answer is 3 units.
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Question : A mobile phone is listed at 1,500 and a discount of 10% is offered on the price. What additional discount must be offered to the customer now to bring the net price to Rs. 1,242?
Option 1: 10%
Option 2: 8%
Option 3: 12%
Option 4: 18%
Question : Total assembly segment in Delhi are
Option 1:
50
Option 2:
60
Option 3:
70
Option 4: 40
Question : An ordinance issued by the Governor has to be passed by the assembly within
8 weeks
10 weeks
12 weeks
Option 4: 6 weeks
Question : In relation to the State Government , local government exercises :
Co – ordinate Authority
Delegate Authority
Superior Authority
Option 4: Independent Authority
Question : In which year were the States recognized on a linguistic basis?
1951
1947
1950
Option 4: 1956
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