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Q:

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A) 1/6	B) 1/4
C) 1/20	D) 3/4

Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Probability

Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

A) 625	B) 635
C) 645	D) 655

Answer & Explanation Answer: A) 625

Explanation:

Let the sum be Rs. x. Then

C.I=x[1+4/100)^2-x]=[626/675x-x]

S.I=x^2/25

C.I-S.I=1

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

In a simultaneous throw of two dice, what is the probability of getting a doublet ?

A) 1/6	B) 1/3
C) 4/7	D) 4/5

Answer & Explanation Answer: A) 1/6

Explanation:

In a simultaneous throw of two dice, n(S) = 6 x 6 = 36

Let E = event of getting a doublet = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

$P (E) = \frac{n (E)}{n (S)} = \frac{6}{36} = \frac{1}{6}$

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Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

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

Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Filed Under: Probability

Q:

The value of $(\frac{1}{\log_{3} 60} + \frac{1}{\log_{4} 60} + \frac{1}{\log_{5} 60}) i s$

A) 0	B) 1
C) 5	D) 60

Answer & Explanation Answer: B) 1

Explanation:

=> $\log_{60} (3 * 4 * 5)$

=> $\log_{60} (60)$

= 1

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is

A) 5/12	B) 4/13
C) 5/13	D) 3/14

Answer & Explanation Answer: B) 4/13

Explanation:

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Filed Under: Probability

Q:

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A) 30/100	B) 35/100
C) 45/100	D) 50/100

Answer & Explanation Answer: B) 35/100

Explanation:

Let A = Event that A speaks the truth

B = Event that B speaks the truth

Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = $1 - \frac{3}{4}$ = 1/4

P(B-lie) = $1 - \frac{4}{5}$ = 1/5

Now, A and B contradict each other =[A lies and B true] or [B true and B lies]

= P(A).P(B-lie) + P(A-lie).P(B)

= $(\frac{3}{5} * \frac{1}{5}) + (\frac{1}{4} * \frac{4}{5}) = \frac{7}{20}$

= $(\frac{7}{20} * 100)$ = 35%

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Filed Under: Probability

Q:

A bill falls due in 1 year.The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years.By this arrangement ins Rs.40.what is the amount of the bill,if he money be worth 12.5%?

A) 1200	B) 3000
C) 3600	D) 1300

Answer & Explanation Answer: C) 3600

Explanation:

Let the sum be Rs. x. Then,

$[\frac{x}{2} + \frac{\frac{x}{2} \times 100}{100 + (\frac{25}{2} \times 2)}] - \frac{x \times 100}{100 + (\frac{25}{2} \times 1)} = 40$

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