Question
The numerator of a fraction is 2 less than its
denominator. If the numerator is decreased by 2 and the denominator is increased by 3, the denominator becomes eight times the numerator. Find the fraction?Solution
Let the required fraction is x/y ATQ: x = y - 2 x - y = -2 ....(i) Also given, y + 3 = 8(x-2) ⇒ y + 3 = 8x – 16 ⇒ 8x – y = 16 + 3 ⇒ 8x – y = 19 …… (ii) Subtracting equation (ii) from (i), we get (x – y) – (8x – y) = – 2 – 19 ⇒ x – y − 8x + y = −21 ⇒ −7x = −21 ⇒ x = 21/7 = 3 Substituting the value of x = 3 in the equation (i) we find y 3 – y = – 2 ⇒ y = 3 + 2 ⇒ y = 5 Therefore, the fraction is 3/5.
Statements: M > N < O, J < K < L, L = P > Q ≥ U = M
Conclusions:
I. L > N
II. Q < J
III. Q > OWhich of the following symbols should replace the question mark in the given expression, in order to make the expressions K < I as well as N &...
Answer the questions based on the information given below.
A $ B means A is smaller than B
A * B means A is not smaller than B
A ...
In the question, assuming the given statements to be true, find which of the conclusion (s) among the given three conclusions is/are definitely true a...
Statements: R < D = G ≤ S = X ≤ B, B > M ≥ V
Conclusions:
I. B ≥ D
II. S > V
III. M < G
In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statemen...
Statements: G@B; W#Z; B%W
Conclusions:
I) G@Z
II) Z@B
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: T > S > R, L ≥ D < R, L ≤ O ≤ Z
Conclusions:
I. T > L
II. S > D
III. Z ≥ R
...Statements: 4 > 7 > 9; 1 ≤ 4 < 5; 7 > 6 = 2 > 3
Conclusions:
I. 3 < 4
II. 9 < 5
III. 1 < 6
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