The Function F Defined By F X X 3 6x 2 36x 7 Is Increasing If
1) x > 2 and also x > 6 2) x > 2 and also x < 6 3) x... View Article
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If F X 3x 4 4x 3 12x 2 12 Then F X Is
1) increasing in (-∞ – 2) and in (0, 1) 2) increasing in (-2, 0) and (1, ∞) 3) decreasing... View Article
If A 0 The Function E Ax E Ax Is A Decreasing Function For All Values Of X Where
1) x < 0 2) x > 0 3) x < 1 4) x > 1 Solution: (1) x <... View Article
Rolle S Theorem Is Not Applicable To The Function F X X For 2 X 2 Because
1) f is continuous for -2 ≤ x ≤ 2 2) f is not derivable for x = 0 3)... View Article
Select The Correct Statement From A B C And D The Function F X Xe 1 X
1) strictly increases in the interval (1/2, 2) 2) increases in the interval (0, ∞) 3) decreases in the interval... View Article
The Function F X 9 X 2 2 Increases In
1) (-3, 0) ∪ (3, ∞) 2) (-∞, -3) ∪ (3, ∞) 3) (-∞, -3) ∪ (0, 3) 4) (-3,... View Article
A Function F Is Defined F X E X Sin X In 0 Pi Which Of The Following Is Not Correct
1) f is continuous in [0, π] 2) f is differentiable in [0, π] 3) f (0) = f (π)... View Article
If The Mean Value Theorem Is F B B A F C Then For The Function X 2 2x 3
1) 6/5 2) 5/4 3) 4/3 4) 7/6 Solution: (2) 5 / 4 f’ (c) = [f (b) – f... View Article
If The Function F X Ax 3 Bx 2 11x 6 Satisfies The Condition Of Rolle S Theorem
1) -1, 6 2) -2, 1 3) 1, -6 4) -1, 1/2 Solution: f (x) = ax3 + bx2 +... View Article
F X E 2x 1 E 2x 1
1) an increasing 2) a decreasing 3) an even 4) None of these Solution: (1) an increasing f (x) =... View Article
A Die Is Tossed Twice Getting A Number Greater Than 4 Is Considered A Success The Variance Of Probability Distribution Of Number Of Successes Is
1) 2/9 2) 4/9 3) 1/3 4) None of these Solution: Option (2) 4/9 p = 2/6 = ⅓ q=... View Article
A Die Is Tossed Thrice If Getting A Four Is Considered A Success Then Mean And Variance Of Probability Distribution Of The Number Of Successes
1) ½, 1/12 2) ⅙, 5/12 3) ⅚, 1/2 4) None of these Solution: Option (4) None of these p=⅙,... View Article
The Probability Of A Bomb Hitting A Bridge Is 12 And Two Direct Hits Are Needed To Destroy It The Least Number Of Bombs Required
1) 8 2) 7 3) 6 4) 9 Solution: Option (2) 7 Assume that “n” be the least number of... View Article
If The Mean And Variance Of A Binomial Variate X Are 2 And 1 Respectively Then The Probability That X Takes A Value Greater Than Or Equal To 1 Is
1) 2/3 2) 4/5 3) 7/8 4) 15/16 Solution: Option (4) 15/16 Given that mean = 2, and variance =... View Article
A Dice Is Thrown Ten Times If Getting Even Number Is Considered As A Success Then The Probability Of Four Successes Is
1) 10C4 (½)4 2) 10C4 (½)6 3) 10C4 (½)8 4) 10C6 (½)10 Solution: Option (4) 10C6 (½)10 p = 3/6... View Article
In Binomial Probability Distribution Mean Is 3 And Standard Deviation Is 3by2 Then The Probability Distribution Is
1) (¾ + ¼)12 2) (¼ + ¾)12 3) (¼ + ¾)9 4) (¾ + ¼)9 Solution: Option (1) (¾... View Article
If A Dice Is Thrown 5 Times Then The Probability Of Getting 6 Exact Three Times Is
1) 125/388 2) 125/3888 3) 625/23328 4) 250/2332 Solution: Option (2) 125/3888 p= ⅙, q= ⅚, n= 5, x =... View Article
A Man Makes Attempts To Hit The Target The Probability Of Hitting The Target Is 35 Then The Probability Of Exactly 2 Times In 5 Attempts Is
1) 144/625 2) 72/3125 3) 216/625 4) None of these Solution: Option (1) 144/625 p= ⅗, q= ⅖, n= 5,... View Article
If X Denotes The Number Of Sixes In Four Consecutive Throws Of A Dice Then Px Equals 4 Is
1) 1/1296 2) 4/6 3) 1 4) 1295/1296 Solution: Option (1) 1/1296 p= ⅙. q= ⅚. n= 4, x= 4... View Article
If A Dice Is Thrown 7 Times Then The Probability Of Obtaining 5 Exactly 4 Times Is
1) 7C4 (⅙)4 (⅚)3 2) 7C4 (⅙)3 (⅚)4 3) (⅙)4 (⅚)3 4) (⅙)3 (⅚)4 Solution: Option (1) 7C4 (⅙)4 (⅚)3... View Article
