# CA Foundation (Paper 3) Business Maths and Statistics 14

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

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