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Q:

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?

A) 5^10	B) 10^5
C) 5P5	D) 5C5

Answer & Explanation Answer: A) 5^10

Explanation:

Each of the 10 letters can be posted in any of the 5 boxes.

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

i.e. 5*5*5*….*5 (upto 10 times) = 5 ^ 10.

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Filed Under: Permutations and Combinations

Q:

A certain marathon had 50 people running for first prize, second, and third prize.How many ways are there to correctly guess the first, second, and third place winners?

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

Answer & Explanation Answer: B) 1

Explanation:

There is 1 way to correctly guess who comes in first, second, and third. There is only one set of first, second and third place winners. You must correctly guess these three people, and there is only one way to do so.

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Filed Under: Permutations and Combinations

Q:

Find the number of ways to take 20 objects and arrange them in groups of 5 at a time where order does not matter.?

A) 57090	B) 15540
C) 15504	D) 23670

Answer & Explanation Answer: C) 15504

Explanation:

${}^{20}C_{5}$ = 15504

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Filed Under: Permutations and Combinations

Q:

What is the SI on Rs.7500/- at the rate of 10% per annum for 5 years?

A) 3750	B) 2750
C) 1750	D) 750

Answer & Explanation Answer: A) 3750

Explanation:

S.I=PNR/100

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

Q:

What is the SI on Rs.2500/- at the rate of 12% per annum for 8 years?

A) 2200	B) 2300
C) 2400	D) 2500

Answer & Explanation Answer: C) 2400

Explanation:

S.I=PNR/100

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

Q:

If $n C_{10} = n C_{12}$ then,find n.

A) 10	B) 12
C) 22	D) 24

Answer & Explanation Answer: C) 22

Explanation:

Using, ${}^{n}C_{r} = {}^{n}C_{n - r}$ we get

n – 10 = 12

or, n = 12 + 10 = 22

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Filed Under: Permutations and Combinations

Q:

Payments of $2000 and $1000 were originally scheduled to be paid one year and five years, respectively, from today. They are to be replaced by a $1500 payment due four years from today, and another payment due two years from today. The replacement stream must be economically equivalent to the scheduled stream. What is the unknown payment, if money can earn 7% compounded semiannually?

A) 1548	B) 1348
C) 1648	D) 1748

Answer & Explanation Answer: C) 1648

Explanation:

FV1 = Future value of $2000, 1 year later
= PV (1+ i)^n

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

Q:

The population of a rural region is expected to fall by 2% per year for the next 10 years. If the region’s current population is 100,000, what is the expected population 10 years from now?

A) 81707	B) 91707
C) 61707	D) 71707

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