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Q:

In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?

A) 1/2	B) 3/4
C) 4/5	D) 2/5

Answer & Explanation Answer: D) 2/5

Explanation:

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Q:

Two dice are tossed. The probability that the total score is a prime number is :

A) 1/6	B) 1/2
C) 5/12	D) 3/4

Answer & Explanation Answer: C) 5/12

Explanation:

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Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7	B) 1/7
C) 3/4	D) 4/5

Answer & Explanation Answer: A) 2/7

Explanation:

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Q:

A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

A) 0%	B) 5%
C) 7.5%	D) 10%

Answer & Explanation Answer: A) 0%

Explanation:

C.P = Rs.3000

S.P =Rs. [3600 x 10] / [100+(10 x 2)] = Rs.3000

Gain =0%

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Q:

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

A) gains Rs. 55	B) gains Rs. 50
C) loses Rs. 30	D) gains Rs. 30

Answer & Explanation Answer: B) gains Rs. 50

Explanation:

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Q:

A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?

A) 1/30	B) 2/30
C) 1/25	D) 1/2

Answer & Explanation Answer: A) 1/30

Explanation:

Let A be event of selecting a number divisible by 3. B be the event of selecting a number divisible by 7.

A = { 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 }, so n(A)=10
B = { 7, 14, 21, 28 }, n(B)= 4

Since A and B are not mutually exclusive So :

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Q:

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is

A) 1200	B) 1764
C) 1600	D) 1354

Answer & Explanation Answer: B) 1764

Explanation:

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Q:

The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

A) 3/70	B) 4/70
C) 9/70	D) 1/50

Answer & Explanation Answer: C) 9/70

Explanation:

Let A be the event of driver A drive safely after consuming liquor.

Let B be the event of driver B drive safely after consuming liquor.

Let C be the event of driver C drive safely after consuming liquor.

P(A)=2/5,P(B)=3/7,P(C)=3/4

The events A, B and C are independent . Therefore,

$P (A \cap B \cap C) = P (A) P (B) P (C) = \frac{2}{5} * \frac{3}{7} * \frac{3}{4} = \frac{9}{70}$

Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70

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