US Search

Q:

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

A) 620	B) 671
C) 625	D) 567

Answer & Explanation Answer: B) 671

Explanation:

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

Q:

From 5 consonants and 4 vowels, how many words can be formed using 3 consonants and 2 vowels ?

A) 7600	B) 7200
C) 6400	D) 3600

Answer & Explanation Answer: B) 7200

Explanation:

From 5 consonants, 3 consonants can be selected in $5 C_{3}$ ways.

From 4 vowels, 2 vowels can be selected in $4 C_{2}$ ways.

Now with every selection, number of ways of arranging 5 letters is $5 P_{5}$ ways.

Total number of words = $5 C_{3} * 4 C_{2} * 5 P_{5}$

= 10x 6 x 5 x 4 x 3 x 2 x 1= 7200

Report Error

View Answer Report Error Discuss

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

Report Error

View Answer Report Error Discuss

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

Q:

12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?

A) 500	B) 490
C) 495	D) 540

Answer & Explanation Answer: C) 495

Explanation:

For any set of 4 points we get a cyclic quadrilateral. Number of ways of choosing 4 points out of 12 points is $12 C_{4}$ = 495.

Therefore, we can draw 495 quadrilaterals

Report Error

View Answer Report Error Discuss

Filed Under: Permutations and Combinations

Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 17296	B) 13296
C) 19296	D) 15296

Answer & Explanation Answer: C) 19296

Explanation:

i=j/m

Report Error

View Answer Report Error Discuss

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

Q:

What amount must you invest now at 4% compounded monthly to accumulate $10,000 after 3 year

A) 8695	B) 7695
C) 3695	D) 4695

Answer & Explanation Answer: A) 8695

Explanation:

Given: j = 4%, m= 12, FV = $10,000, Term= 3.5 years
Then n =m *Term 12(3.5) 42

Report Error

View Answer Report Error Discuss

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

Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 19296	B) 19396
C) 19496	D) 19596

Answer & Explanation Answer: A) 19296

Explanation:

The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
$10,000 *(1.0075)/12
$10,938.07
PV= Present value of $10,000, 24 months earlier
$10,000/(1.0075)24
$8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38

Report Error

View Answer Report Error Discuss

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

Q:

Mr. and Mrs. Espedido’s property taxes, amounting to $2450, are due on July 1.What amount should the city accept if the taxes are paid eight months in advance and the city can earn 6% compounded monthly on surplus funds?

A) 2354.17	B) 2354
C) 2376	D) 2389

Searching for "US"

Quick Links