Question
What is the larger number? Quantity I. Difference
between the two numbers is 21 and LCM and HCF of those numbers are 70 and 7 respectively. Quantity II. The HCF and LCM of two numbers are 12 and 72 respectively. If the sum of the two numbers is 60. Study the following information carefully and answer the Questions given below:Solution
Quantity I. let the larger number be x ∴ Smaller number = (x-21) ∴ x(x – 21) = 70 × 7 x2 - 21x = 490 x2 - 21x – 490 = 0 (x-35)(x+14) = 0 ∴ x = 35 Larger number = 35 and Smaller number = 14 Quantity II. Let the larger number be x ∴ Smaller number = 60 – x ∴ x (60-x) = 12 ×72 x2 - 60x + 864 = 0 (x-36)(x-24) = 0 ∴ x = 36, 24 Larger number = 36 Smaller number = 24 Hence, Quantity I < Quantity II.
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
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