Question
If '176x95' is a six-digit number that is divisible by
3, then find the maximum value of '5x'.Solution
ATQ, We know that a number is divisible by '3' only and when the sum of its digits is also divisible by 3 So, 1 + 7 + 6 + x + 9 + 5 = (28 + x) should be divisible by '3' So, possible values of 'x' = 2, 5, and 8 Or, maximum possible value of 'x' = 8 So, required value = 5 X 8 = 40
If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
In △ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C)...
A company’s expenditure on three departments over four years is as follows (in thousands):
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
Find the 36th term of the series 25, 29, 33……
If √e + (1/√e) = 10, then find the value of e + (1/e).
- If n = 5 + √6, then find the value of (n + 1/n)².
- If (u + v) = 11 and uv = 24, then find the value of (u² + v²).
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