Probability · NDA previous year questions

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2012 20 questions

Q1112012 · 19 Aug 2012
If P(E) denotes the probability of an event E, then E is called certain event if :
1. A.P(E) = 0
2. B.P(E) = 1
3. C.P(E) is either 0 or 1
4. D.P(E) = 1/2
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Answer: B
Q1122012 · 19 Aug 2012
What is the probability that a leap year selected at random will contain 53 Mondays ?
1. A.2/5
2. B.2/7
3. C.1/7
4. D.5/7
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Answer: B
Q1132012 · 19 Aug 2012
If A and B are two events such that $P (A \cup B) = \frac{3}{4}$ , $P (A \cap B) = \frac{1}{4}$ , $P (\overline{A}) = \frac{2}{3}$ where $\overline{A}$ is the complement of A, then what is P(B) equal to ?
1. A.1/3
2. B.2/3
3. C.1/9
4. D.2/9
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Answer: B
Q1142012 · 19 Aug 2012
Three coins are tossed simultaneously. What is the probability that they will fall two heads and one tail ?
1. A.1/3
2. B.1/2
3. C.1/4
4. D.3/8
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Answer: D
Q1152012 · 19 Aug 2012
Which one of the following is correct ?
1. A.An event having no sample point is called an elementary event
2. B.An event having one sample point is called an elementary event
3. C.An event having two sample points is called an elementary event
4. D.An event having many sample points is called an elementary event
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Answer: B
Q1162012 · 19 Aug 2012
What is the most probable number of successes in 10 trials with probability of success 2/3 ?
1. A.10
2. B.7
3. C.5
4. D.4
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Answer: B
Q1172012 · 19 Aug 2012
Passage
FOR THE NEXT TWO (02) QUESTIONS THAT FOLLOW : An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.
What is the probability that both balls are of same colour ?
1. A.1/2
2. B.1/3
3. C.1/4
4. D.2/3
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Answer: C
Q1182012 · 19 Aug 2012
Passage
FOR THE NEXT TWO (02) QUESTIONS THAT FOLLOW : An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.
What is the probability of getting at least one green ball ?
1. A.1/2
2. B.1/3
3. C.2/3
4. D.3/4
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Answer: D
Q1192012 · 19 Aug 2012
Passage
FOR THE NEXT TWO (02) QUESTIONS THAT FOLLOW : An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.
Two dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by A : even number on the first die B : number on the second die is greater than 4 What is $P (A \cup B)$ equal to ?
1. A.1/2
2. B.1/4
3. C.2/3
4. D.1/6
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Answer: C
Q1202012 · 19 Aug 2012
Passage
FOR THE NEXT TWO (02) QUESTIONS THAT FOLLOW : An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn.
What is $P (A \cap B)$ equal to ?
1. A.1/2
2. B.1/4
3. C.2/3
4. D.1/6
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Answer: D
Q132012 · 15 Apr 2012
Consider the following statements: 1. A continuous random variable can take all values in an interval. 2. A random variable which takes a finite number of values is necessarily discrete. 3. Construction of a frequency distribution is based on data which are discrete. Which of the above statements are correct?
1. A.1 and 2 only
2. B.2 and 3 only
3. C.1 and 3 only
4. D.1, 2 and 3
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Answer: A
Q142012 · 15 Apr 2012
What is the $n^{t h}$ term of the sequence 1, 5, 9, 13, 17, ...?
1. A. $2 n - 1$
2. B. $2 n + 1$
3. C. $4 n - 3$
4. D.None of the above
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Answer: C
Q222012 · 15 Apr 2012
Three dice are thrown. What is the probability that the same number will appear on each of them?
1. A.1/6
2. B.1/18
3. C.1/24
4. D.1/36
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Answer: D
Q232012 · 15 Apr 2012
For the next TWO (02) questions that follow: The equation formed by multiplying each root of $a x^{2} + b x + c = 0$ by 2 is $x^{2} + 36 x + 24 = 0$ . What is b : c equal to?
1. A.3 : 1
2. B.1 : 2
3. C.1 : 3
4. D.3 : 2
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Answer: A
Q242012 · 15 Apr 2012
For the next TWO (02) questions that follow: The equation formed by multiplying each root of $a x^{2} + b x + c = 0$ by 2 is $x^{2} + 36 x + 24 = 0$ . Which one of the following is correct?
1. A. $b c = a^{2}$
2. B. $b c = 36 a^{2}$
3. C. $b c = 72 a^{2}$
4. D. $b c = 108 a^{2}$
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Answer: D
Q252012 · 15 Apr 2012
For the next THREE (03) questions that follow: Let $sin (A + B) = 1$ and $sin (A - B) = 1/2$ , where $A, B \in [0, \frac{π}{2}]$ . What is the value of A?
1. A. $\frac{π}{6}$
2. B. $\frac{π}{3}$
3. C. $\frac{π}{4}$
4. D. $\frac{π}{8}$
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Answer: B
Q262012 · 15 Apr 2012
For the next THREE (03) questions that follow: Let $sin (A + B) = 1$ and $sin (A - B) = 1/2$ , where $A, B \in [0, \frac{π}{2}]$ . What is $tan (A + 2 B) . tan (2 A + B)$ equal to?
1. A.-1
2. B.0
3. C.1
4. D.2
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Answer: C
Q272012 · 15 Apr 2012
For the next THREE (03) questions that follow: Let $sin (A + B) = 1$ and $sin (A - B) = 1/2$ , where $A, B \in [0, \frac{π}{2}]$ . What is $sin^{2} A - sin^{2} B$ equal to?
1. A.0
2. B.1/2
3. C.1
4. D.2
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Answer: B
Q292012 · 15 Apr 2012
What is the probability that a leap year selected at random contains 53 Mondays?
1. A.1/7
2. B.2/7
3. C.7/366
4. D.26/183
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Answer: B
Q942012 · 15 Apr 2012
If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
1. A.0
2. B.1/2
3. C.1
4. D.1/1296
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Answer: A