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- Question
A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :
Options- A. Rs. 15,000
- B. Rs. 1,50,000
- C. Rs. 1500
- D. Rs. 1,62,000
- Correct Answer
- Rs. 15,000
ExplanationPrincipal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.
- 1. 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.
Options- A. 1389
- B. 1359
- C. 1379
- D. 1339.33 Discuss
- 2. 15 semiannual payments are made into a sinking fund at 7% compounded semiannually so that $4850 will be present. Find the amount of each payment rounded to the nearest cent
Options- A. 251.35
- B. 245.45
- C. 235.87
- D. 251 Discuss
- 3. What is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad?
Options- A. 814
- B. 714
- C. 614
- D. 713 Discuss
- 4. Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?
Options- A. Saturday
- B. Sunday
- C. Friday
- D. Monday Discuss
- 5. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is :
Options- A. 11
- B. 12
- C. 13
- D. 14 Discuss
- 6. The length and breadth of a rectangle are 24 cm and 7 cm respectively. Calculate its perimeter (in cm).
Options- A. 124
- B. 48
- C. 62
- D. 96 Discuss
- 7. A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.
Options- A. 136
- B. 146
- C. 166
- D. 176 Discuss
- 8. The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 is :
Options- A. 49/7
- B. 19/7
- C. 50/7
- D. 18/7 Discuss
- 9. A canteen requires 56 kgs of rice for seven days . The quantity of rice required for the months of April and May together is
Options- A. 468 kg
- B. 488 kg
- C. 498 kg
- D. 508 kg Discuss
- 10. The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?
Options- A. Rs.600
- B. Rs,6400
- C. Rs.6500
- D. Rs.6600 Discuss
More questions
Correct Answer: 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 ? 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
Correct Answer: 251.35
Explanation:
R=S[i/(1+i)^n-1]
Correct Answer: 814
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile =
Required number of tiles = = 814
Correct Answer: Saturday
Explanation:
We know that, After every 400 years, the same day occurs.
Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.
Correct Answer: 11
Explanation:
Age of the 15th student = [15 * 15 - (14 * 5 + 16 * 9)] = (225-214) = 11 years.
Correct Answer: 62
Correct Answer: 176
Explanation:
area of the room = 544 x 374 sq.cm
size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm
area of 1 tile = 34x34 sq cm
no. of tiles required = (544 x 374) / (34 x 34) = 176
Correct Answer: 18/7
Correct Answer: 488 kg
Correct Answer: Rs,6400
Explanation:
The population grew from 3600 to 4800 in 3 years. That is a growth of 1200 on 3600 during three year span.
Therefore, the rate of growth for three years has been constant.
The rate of growth during the next three years will also be the same.
Therefore, the population will grow from 4800 by = 1600
Hence, the population three years from now will be 4800 + 1600 = 6400
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