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Q:

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

A) 360	B) 180
C) 90	D) 60

Answer & Explanation Answer: B) 180

Explanation:

Angle traced by the hour hand in 6 hours=(360/12)*6

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Q:

Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is

A) 22m/s	B) 33m/s
C) 44m/s	D) 55m/s

Answer & Explanation Answer: A) 22m/s

Explanation:

let each wheel make x revolutions per sec. Then $[(2 π * \frac{7}{2} * x) + (2 π * 7 * x)] * 10 = 1980$ $(2 * \frac{22}{7} * \frac{7}{2} * x) + (2 * \frac{22}{7} * \frac{7}{2} * x) = 198$

$66 x = 198$

distance moved by smaller wheel in 3 revolutions

= $2 * \frac{22}{7} * \frac{7}{2} * 3 = 66 c m$

speed of smaller wheel = $\frac{66}{3}$ m/s = 22m/s

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Q:

Consider the following statements about Sikh Gurus:
1. Banda Bahadur was appointed as the military leader of the Sikhs by Guru Tegh Bahadur.
2. Guru Arjan Dev become the Sikh Guru after Guru Ram Das.
3. Guru Arjan Dev gave to Sikhs their own script- Gurumukhi.
Which of the statements given is/are correct?

A) 1 only	B) 2 and 3
C) 1 and 3	D) 1 and 2

Answer & Explanation Answer: D) 1 and 2

Explanation:

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Filed Under: Indian Culture

Q:

A five-year promissory note with a face value of $3500, bearing interest at 11% compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note

A) 4336.93	B) 5336
C) 6336	D) 7336

Answer & Explanation Answer: A) 4336.93

Explanation:

i=j/m

Maturity value = PV(1 + i)^n

Term = 5 years - 21 months= 3.25 years

Price paid = FV(1+ i )^-n

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Filed Under: Compound Interest
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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

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Filed Under: Compound Interest
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Q:

Kramer borrowed $4000 from George at an interest rate of 7% compounded semiannually. The loan is to be repaid by three payments. The first payment, $1000, is due two years after the date of the loan. The second and third payments are due three and five years, respectively, after the initial loan. Calculate the amounts of the second and third payments if the second payment is to be twice the size of the third payment.

A) 1389	B) 1359
C) 1379	D) 1339.33

Answer & Explanation Answer: D) 1339.33

Explanation:

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2 +PV3 =$4000 -------(1)

PV1 =FV/(1 + i)^n =$1000/(1.035)^4= $871.44

At first, we may be stumped as to how to proceed for
PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2 =2x * 0.7089188 = 1.6270013x
PV3 =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x =$4000

2.3359201x =$3128.558

x=$1339.326
Kramer’s second payment will be 2($1339.326) =$2678.65, and the third payment will be $1339.33

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Filed Under: Compound Interest
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Job Role: Bank PO

Q:

If an investment can earn 4% compounded monthly, what amount must you invest now in order to accumulate $10,000 after 3 years?

A) 8695.61	B) 6786
C) 3478	D) 4092

Answer & Explanation Answer: A) 8695.61

Explanation:

i=j/m

PV = FV (1+ i)^-n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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Q:

A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest.find the sum.

A) 4360	B) 4460
C) 4560	D) 4660

Answer & Explanation Answer: B) 4460

Explanation:

Let the sum be Rs.P.then
P(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)
On dividing,we get (1+R/100)^3=10025/6690=3/2.
Substituting this value in (i),we get:
P*(3/2)=6690 or P=(6690*2/3)=4460
Hence,the sum is rs.4460.

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Filed Under: Compound Interest
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