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Let U1 And U2 Be Two Urns U1 Contains 3 White And 2 Red Balls U2 Contains Only 1 White Ball Probability Of The Drawn Ball From U2 Being White

1) 13/30 2) 23/30 3) 19/30 4) 11/30 Solution: Option (2) 23/30 (i) Head – one white from U1, white... View Article

1) 5/64 2) 27/32 3) 5/32 4) 1/2 Solution: Option (3) 5/32 Given that a box contains 24 identical balls,... View Article

1) 1/2 2) 1/3 3) 1/4 4) None of these Solution: Option (1) ½ Let p be the probability of... View Article

1) x – y = √2 2) √2x – y = [(89 √2) / 27] + 1 3) x –... View Article

1) x2 + y2 = a2 2) y = e-x/2a 3) y = ax 4) x2 = 4ay Solution: (4)... View Article

1) 0 2) 1 3) 2 4) 3 Solution: (1) 0 f (x) = x3 + 2x2 + 5x +... View Article

1) 2 / 3 2) 1 / 2 3) 4 / 5 4) 1 / 3 Solution: (3) 4 /... View Article

1) 1 / 2 2) 1 3) 2 4) 3 Solution: (4) 3 y = [x2 – x + 1]... View Article

1) one real root 2) two real roots 3) eight real roots 4) four real roots Solution: (1) one real... View Article

1) (1 / 2, 1 / 4) 2) (1 / 2, 1 / 2) 3) (2, 4) 4) (1 /... View Article

1) x2 – y2 = xy 2) x2 + y2 = x2y2 3) x2 – y2 = x2y2 4) None... View Article

1) tan-1 (a2) 2) sin-1 (1 / √1 + a4) 3) cot-1 (a2) 4) sin-1 (√1 + a4) Solution: (3)... View Article

1) β – ɑ = Kπ 2) β – ɑ ≠ Kπ 3) β – ɑ = 2Kπ 4) None... View Article

1) 1 2) 0 3) 2 4) None of these Solution: (2) 0 f (x) = √ex^2 – 1 f’... View Article

1) (0, ∞) 2) (-1, ∞) 3) (-∞, ∞) 4) (1, ∞) Solution: (2) (-1, ∞) Let f (x) =... View Article

1) a = 7 2) a = 8 3) a = 9 4) a ≤ 5 Solution: (4) a ≤... View Article

1) (0, 2 / 3) 2) (0, 1) 3) (0, 4 / 3) 4) (4 / 3, 0) Solution: (3)... View Article

1) 1 2) 2 3) 0 4) ∞ Solution: (3) 0 af(x) + g(x) = 0 x ∈ R There... View Article

1) 2 2) 3 3) 5 4) 7 Solution: (1) 2 f (x) = (x2 – 1)n g (x) where... View Article

1) [b – c, b + c] 2) (b – c, b + c) 3) [c – b, b +... View Article