Question
What is the average of all the prime numbers which are
less than 35?Solution
Prime numbers which come before 35 are = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 So, sum = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 = 160 Required average = 160/11
I. p2 +7p + 10 = 0 II. q2 - q – 6 = 0
Equation 1: x² - 45x + 500 = 0
Equation 2: y² - 60y + 600 = 0
I. 5x + 2y = 31
II. 3x + 7y = 36
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
Equation 1: 2x2Â - 21x + 54 = 0
Equation 2: 4y2Â - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. p² - 10p +21 = 0
II. q² + q -12 = 0
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0