Question
If two is added to the denominator of a rational number
it becomes 1 and if 4 is added to the numerator it becomes ½. Then the sum of the numerator and the denominator of the rational number is:Solution
Let the rational number be x/y. When 2 is added to the denominator, => x/(y + 2) = 1 ⇒ x = y + 2 ⇒ y = x – 2 ------ (i) When 4 is added to the numerator, => (x + 4)/y = 1/2 ⇒ 2x + 8 = y ------- (ii) Solving equation eq. (i) and (ii) we get, => x – 2 = 2x + 8 ⇒ x = -10 Putting the value of ‘x’ in equation (i) we get, => y = -10 - 2 ⇒ y = -12 Required sum = -10 + (-12) = -22
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I
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