Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:
Let greater number = a and Smaller number = b From question, ⇒ a - b = 1280 ....(1) Again from question, ⇒ a = 7b + 50 ....(2) Put the value of a from equation (2) into equation (1) ⇒ 7b + 50 - b = 1280 ⇒ 6b = 1280 - 50 ⇒ 6b = 1230 ⇒ b = (1230/6) ⇒ b = 205 Put the value of b in equation (1) ⇒ a - 205 = 1280 ⇒ a = 1280 + 205 ⇒ a = 1485 ⇒ Greater number = 1485
Statement: X≤W=Y<P; W≥Z; Z ≥X
I. P>X
II. Y≥X
Given the following expression, find which of the equations from the given options is true ?
N ≥ P ≥ M ≥ U = D ≥ F
In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
In Which of the following expressions does the expression ‘ H ≥ D ’ definitely hold true?
Statements: P ≥ S ≥ C ≤ U; N ≥ S < G ; C ≤ M
Conclusion I. P ≥ N II.M < S
...Statements: V > P < L = O, R > N; Q > V > R
Conclusions:
I. R > L
II. Q > N
III. L > N
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
...Statements: T > S > R, L ≥ D < R, L ≤ O ≤ Z
Conclusions:
I. T > L
II. S > D
III. Z ≥ R
...Statements:
P ≥ Q = R; S = T ≤ U ≥ P
Conclusion:
I. R < S
II. T ≤ Q
Statements: D ≥ G > N < Q > T = W
Conclusions:
I. D < N
II. W = N