Question
Uttarakhand Government accomplished a Golden Triangular
Project. Under this Project, the State Government Laid down 6 lane roads connecting the three cities Dehradun, Haridwar and Rishikesh which are equally separated from each other i.e., in terms of the Geometry they form an equilateral triangle. Ram and Shyam start simultaneously from Dehradun and Haridwar respectively, towards Rishikesh. When Ram covers 20km, Shyam covers such a distance that the distance between Ram and Shyam makes 90°angle with the road joining Haridwar and Rishikesh. When Shyam reaches Rishikesh, Ram is still 30 km away from Rishikesh. Find the distance between Dehradun and Haridwar?Solution
(20+x/2)/20= (20+x)/((20+x-30)) (40+x)/40= (20+x )/(x-10) 40x+x²-10x-400=800+40x x²-10x-1200=0 x²-40x+30x-1200=0 x(x-40)+ 30(x-40)= 0 x=40,-30 The distance between Dehradun and Haridwar is 40 +20 = 60km (since Distances of Dehradun, Haridwar and Rishikesh are equal).
Statements: R ≥ S > T; U < V ≤ T; V > W
Conclusions:
I. R > V
II. W < S
III. T > W
Statements: A @ D % M % N; M $ P $ Q
Conclusions : I. D % Q I...
Statements: Q ≤ R < A; R ≥ N > S; S ≥ T > U
Conclusions:
I. A > N
II. U < N
III. S ≥ Q
Answer the questions based on the information given below.
A @ B means A is not smaller than B
A & B means A is neither smaller than nor...
Which of the following should be placed in the blank spaces respectively ( in the same order from left to right) in order to complete the given express...
Which of the following symbols respectively should replace the question marks in order to make the expression V ≥ M and X ≤ H definitely true?
<...If “M % N # O © P @ S © T $ W” is true then which of the following is definitely not true?
(i) M # P
(ii) O © T
(iii) N #...
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions: I. P ≤ M II. L > N
Statements:
A < B = C; D = E ≤ F ≤ G; E ≤ B
Conclusions:
I). G ≥ C
II). D ≤ B
III). C ≥ D
Statement: T>U<V<X=C>S ;U<P ≥X
I. T < P
II. P > S