Probability · NDA previous year questions

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2013 23 questions

Q462013 · 11 Aug 2013
What is the seventh term of the sequence $0, 3, 8, 15, 24, \dots$ ?
1. A.63
2. B.48
3. C.35
4. D.33
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Answer: B
Q472013 · 11 Aug 2013
What is $tan 1 5^{\circ}$ equal to?
1. A. $2 - 3$
2. B. $2 + 3$
3. C. $1 - 3$
4. D. $1 + 3$
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Answer: A
Q482013 · 11 Aug 2013
Consider the following : 1. $tan (\frac{π}{6})$ 2. $tan (\frac{3 π}{4})$ 3. $tan (\frac{5 π}{4})$ 4. $tan (\frac{2 π}{3})$ What is the correct order?
1. A. $1 < 4 < 2 < 3$
2. B. $4 < 2 < 1 < 3$
3. C. $4 < 2 < 3 < 1$
4. D. $1 < 4 < 3 < 2$
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Answer: B
Q492013 · 11 Aug 2013
If $cos x = \frac{1}{3}$ , then what is $sin x \cdot cot x \cdot cosec x \cdot tan x$ equal to?
1. A. $\frac{2}{3}$
2. B. $\frac{3}{2}$
3. C.2
4. D.1
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Answer: D
Q502013 · 11 Aug 2013
What is $lo g_{81} 243$ equal to?
1. A.0.75
2. B.1.25
3. C.1.5
4. D.3
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Answer: B
Q1062013 · 11 Aug 2013
If three events $A, B, C$ are mutually exclusive, then which one of the following is correct?
1. A. $P (A \cup B \cup C) = 0$
2. B. $P (A \cup B \cup C) = 1$
3. C. $P (A \cap B \cap C) = 0$
4. D. $P (A \cap B \cap C) = 1$
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Answer: C
Q1082013 · 11 Aug 2013
If $A$ and $B$ are independent events such that $P (A) = \frac{1}{5}$ , $P (A \cup B) = \frac{7}{10}$ , then what is $P (\overline{B})$ equal to?
1. A. $\frac{2}{7}$
2. B. $\frac{3}{7}$
3. C. $\frac{3}{8}$
4. D. $\frac{7}{9}$
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Answer: C
Q1092013 · 11 Aug 2013
In a binomial distribution, the occurrence and the non-occurrence of an event are equally likely and the mean is 6. The number of trials required is
1. A.15
2. B.12
3. C.10
4. D.6
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Answer: B
Q1102013 · 11 Aug 2013
A die is tossed twice. What is the probability of getting a sum of 10?
1. A. $\frac{1}{18}$
2. B. $\frac{1}{6}$
3. C. $\frac{1}{12}$
4. D. $\frac{5}{12}$
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Answer: C
Q1112013 · 11 Aug 2013
Three dice are thrown. What is the probability of getting a triplet?
1. A. $\frac{1}{6}$
2. B. $\frac{1}{18}$
3. C. $\frac{1}{36}$
4. D. $\frac{1}{72}$
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Answer: C
Q1122013 · 11 Aug 2013
Consider the following statements: 1. If $A$ and $B$ are exhaustive events, then their union is the sample space. 2. If $A$ and $B$ are exhaustive events, then their intersection must be an empty event. Which of the above statements is/are correct?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
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Answer: A
Q1152013 · 11 Aug 2013
What is the number of outcomes when a coin is tossed and then a die is rolled only in case a head is shown on the coin?
1. A.6
2. B.7
3. C.8
4. D.None of the above
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Answer: B
Q1162013 · 11 Aug 2013
If $P (A) = \frac{2}{3}, P (B) = \frac{2}{5}$ and $P (A \cup B) - P (A \cap B) = \frac{2}{5}$ , then what is $P (A \cap B)$ equal to?
1. A. $\frac{3}{5}$
2. B. $\frac{5}{11}$
3. C. $\frac{1}{3}$
4. D.None of the above
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Answer: C
Q1172013 · 11 Aug 2013
What is the probability that there are 5 Mondays in the month of February 2016?
1. A.0
2. B. $\frac{1}{7}$
3. C. $\frac{2}{7}$
4. D.None of the above
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Answer: D
Q1192013 · 11 Aug 2013
In a relay race, there are six teams $A, B, C, D, E$ and $F$ . What is the probability that $A, B, C$ finish first, second, third respectively?
1. A. $\frac{1}{2}$
2. B. $\frac{1}{12}$
3. C. $\frac{1}{60}$
4. D. $\frac{1}{120}$
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Answer: D
Q1112013 · 14 Apr 2013
Consider a random experiment of throwing together a die and two coins. The associated sample space has
1. A.8 points
2. B.12 points
3. C.24 points
4. D.36 points
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Answer: C
Q1122013 · 14 Apr 2013
In throwing a six faced dic, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct ?
1. A.A and C are mutually exclusive
2. B.A and B are mutually exclusive
3. C.B and C are mutually exclusive
4. D.A, B and C are mutually exclusive
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Answer: B
Q1132013 · 14 Apr 2013
What is the probability of getting a sum of 7 with two dice ?
1. A.1/6
2. B.1/3
3. C.1/12
4. D.5/36
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Answer: A
Q1142013 · 14 Apr 2013
Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads ?
1. A.1/2
2. B.1/4
3. C.1/8
4. D.3/8
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Answer: D
Q1152013 · 14 Apr 2013
A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability that both are white ?
1. A.1/28
2. B.1/14
3. C.3/28
4. D.None of the above
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Answer: C
Q1162013 · 14 Apr 2013
If A and B are any two events such that $P (\overline{A}) = 0.4$ , $P (\overline{B}) = 0.3$ , $P (A \cup B) = 0.9$ , then what is the value of $P (\overline{A} \cup \overline{B})$ equal to ?
1. A.0.2
2. B.0.5
3. C.0.6
4. D.0.7
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Answer: C
Q1172013 · 14 Apr 2013
A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is
1. A.1/2
2. B.1/32
3. C.31/32
4. D.1/16
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Answer: D
Q1192013 · 14 Apr 2013
Two numbers are successively drawn from the set U = {1, 2, 3, 4, 5, 6, 7, 8}, the second being drawn without replacing the first. The number of elementary events in the sample is
1. A.64
2. B.56
3. C.32
4. D.14
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Answer: B