**NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.**

**REVISION TEST – 14 (20.04.22)**

**PAPER : 3- BUSINESS MATHEMATICS,LOGICAL REASONING AND ** **STATISTICS ** ** TIME :1/2 HOUR**

**CLASS : CA – FOUNDATION MARKS :25 X 1 =25**

**CHOOSE THE BEST ANSWER**

**1.If two events A and B are mutually exclusive, then**

(a) They are always independent (b) They may be independent

(c) They can not be independent (d) They can not be equally likely.

**If P(A) = 0, then the event A**

(a) will never happen (b) will always happen

(c) may happen (d) may not happen.

**If P(A) = 1, then the event A is known as**

(a) symmetric event (b) dependent event

(c) improbable event (d) sure event.

**Determine the probability that a digit chosen at random from the digits 1, 2, 3, …12 will be odd.**

½ B. 1/9 C. 5/9 D. 4/9

**Find the probability of throwing a total of 8 in a single throw with two dice.**

1/36 B. 5/36 C. 25/36 D. 12/36

**If a dice is thrown twice, what is the probability that 5 will not come up either time?**

1/12 B. 1/18 C. 25/36 D. 12/36

**A card is drawn from a pack of 52 cards. What is the probability that the card is a Queen?**

1/52 B. 1/12 C. 1/16 D. None of these

**Determine the probability that a number chosen at random from the digits 1, 2, 3, ……., 10 will be a multiple of 4.**

¼ B. 1/3 C. 1/5 D. 1/2

**On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?**

1 in 6 B. 1 in 3 C. 1 in 2 D. 1 in 4

**There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?**

1/3 B. 4/7 C. 8/14 D. 9/14 E. 11/14

**The odds are 9 : 5 against a person who is 50 years living till he is 70 and 8:6 against a person who is 60 living till he is 80. Find the probability that at least one of them will be alive after 20 years**

11/14 B. 22/49 C. 31/49 D.35/49

**If P (A) = p and P (B) = q, then**

a) P( A / B) ≤ q /p b) P( A / B) ≥p / q

c) P( A / B) ≤ p / q d) P( A / B) ≥q / p

**The limiting relative frequency of probability is**

a) Axiomatic b) classical c) statistical d) mathematical

**For a probability of a random variable x is given below :**

X: 1 2 4 5 6

P: 0.15 0.25 0.2 0.3 0.1

**What is the Standrard deviation of x ?**

(a) 1.49 (b) 1.56 (c) 1.69 (d) 1.72

**What is the probability of getting 2 heads if a coin is tossed 3 times ?**

(a) 0.3125 (b) 0.25 (c) 0.6825 (d) 0.50

**A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?**

(a) 4/15 (b) 7/8 c) 8/15 (d) 11/15

**If A speaks 75% of truth and B speaks 80% of truth. In what percentage both of then likely contradict with each other in narrating the same questions?**

(a) 0.60 (b) 0.45 (c) 0.65 (d) 0.35

**When two of coins are tossed simultaneously the probability of getting at least one tail**

(a) 1 (b) 0.75 (c) 0.5 (d) 0.25

**If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels :**

(a) 1/6 (b) ½ (c) 1/3 (d) 1/4

**A bag contains 15 one rupee coins, 25 two rupee coins and 10 five rupee coins. If a coin is selected at random from the bag, then the probability of not selecting a one rupee coin is:**

(a) 0.30 (b) 0.70 (c) 0.25 (d) 0.20

**The chance of getting 7 or 11 in a throw of 2 dice is**

(a) 7/9 (b) 5/9 (c) 2/9 (d) None of these.

**If P(A – B )= 1/5, P (A) = 1/ 3 & P (B) = 1/2, What is the probability that out of the two events A & B, Only B would occur ?**

a) 1/30 b) 11/ 30 c) 7/30 d) none

**The probability of throwing more than 4 in a single throw from an ordinary die is**

(a) 2/3 (b) 1/3 (c) 1 (d) none

**The probability that a card drawn at random from the pack of playing cards may be either aqueen or an ace is**

(a) 2/13 (b) 11/13 (c) 9/13 (d) none

**For a event A which is certain, P (A) is equal to**

(a) 1 (b) 0 (c) –1 (d) none