Question
Statements: A @ B, B # C, C % D Conclusions: a)
A # C     b) A @ D 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: A @ B, B # C, C % D →A ≥ B, B > C, C = D → A ≥ B > C = D Conclusion a → A # C → A > C The relation between A and C in the statement A ≥ B > C = D: A > C. So, it is true. Conclusion b → A@ D → A ≥ D The relation between A and D in the statement A ≥ B > C = D: A > D. So, it is not true. (A > C = D → A > D)
Suppose the average of 322, 386, 418, 499 and 'a' is 437, then ind the value of 'a'
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Find the distance between points A(2, 3) and B(7, 8).
I. x ² – 10x + 21 = 0
II. y ² – 8y + 15 = 0
The ages of two siblings, John and Mary, are in the ratio of 5:3. Five years ago, the sum of their ages was 38 years. What are their current ages?
In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 25A cone has a base radius of 6 cm and a height of 8 cm. Find its volume and slant height (use π = 3.14).
A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the ye...
