Question
Statements: Q $ W, W % E, E @ K Conclusions: a)
Q $ K b) W @ K In the following questions, the symbols @, #, %, $ and * are used with the following meaning as illustrated below. ‘P @ Q’ means ‘P Is not smaller than Q’ ‘P # Q’ means ‘P is neither smaller than nor equal to Q’ ‘P % Q’ means ‘P is neither smaller than nor greater than Q’ ‘P $ Q’ means ‘P is not greater than Q’ ‘P * Q’ means ‘P is neither greater than nor equal to Q’ Now in each of the following the questions assuming the given statements to be true, find which of the two conclusions a and b given below is/are definitely true?Solution
Explanation : Q $ W, W % E, E @ K → Q ≤ W, W = E, E ≥ K → Q ≤ W = E ≥ K Conclusion a → Q $ K → Q ≤ K The relation between Q and K in the statement Q ≤ W = E ≥ K : Q = K or Q > K or Q < K. So, it is not true. Conclusion b → W @ K → W ≥ K The relation between W and K in the statement Q ≤ W = E ≥ K : W ≥ K. So, it is true.
7 years ago, the ratio of the ages of Pia and Qasim was 9:7. The present age of Tom is 20 years more than one-seventh of Qasim’s present age. Find Tom...
The difference between the compound interest and simple interest on a certain sum for 2 years at 12% per annum is 144. Find the principal amount.
Eight years ago, the sum of the ages of Helen and Karen was 50 years. Eight years hence, the ratio of their ages will be 9:11. Find the current age of H...
The Average age of 25 pupils in a class is ‘y’ years. If their principal, aged 50 years, joins them, the average rises by 1 year. Find the value of ...
B is 3 years older than A and A is 6 years older than C. If the sum of the age of A and C is 26 years, then find the sum of the ages of all three.
Sum of the present ages of A, B, C and D is 55 years. After 5 years ratio of their ages is 5:4:3:3. What is C’s present age?
The ratio of present ages of Riya to Meera is 5:4. The sum of their ages after 8 years will be 68 years. If the age of Tanya is 3 years more than 4 time...
Currently, the ages of Vikesh and Vishal are in a ratio of 7:5. Vijay's age is 20% lower than Vishal's. If the average age of Vikesh, Vishal, and Vijay ...
Present age of ‘M’ is 25% more than that of ‘N’. 5 years ago, ‘M’ was 1.5 times as old as ‘N’. Find the present age of ‘N’.
...A’s age is 150% of what he was 6 years ago, But 50% of what it will be after 6 years. What is his present age?