Question
If 3c2933k is divisible by both 5 and 11, where c and k
are single digit natural numbers, then c + k = ______.Solution
Since 3c2933k is divisible by 5, k must be 0 or 5. According to the question, c and k are the single-digit natural numbers, Since '0' is not the natural number, so only possible value of k is 5. if k = 5: 3c2933k ⇒ 3c29335 Difference of sum of alternating digit: ⇒ (3 + 2 + 3 + 5) - (c + 9 + 3) ⇒ 13 - (c + 12) ⇒ 1 - c For divisibility by 11: ⇒ 1 - c = 0, 11, ⇒ 1 - c = 0 ⇒ c = 1 Then, c + k = 1 + 5 = 6
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
I. 4p² + 17p + 15 = 0
II. 3q² + 19q + 28 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 207 = 0
Equation 2: y² - 51y + 648 = 0
I. x2 + (9x/2) + (7/2) = - (3/2)
II. y2 + 16y + 63 = 0
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
I. x2 – 13x + 40 = 0
II. 2y2 – 15y + 13 = 0Â
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
l. x2 - 16x + 64 = 0
II. y2Â = 64
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