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Page 1: Insurance   numerical problems
Page 2: Insurance   numerical problems

1. If the date of birth is 24, June 1979, the proposal is dated 26.11.2004, the policy is to commence from 15th April 2004, and the term of the policy is 30 years, which among the following would be the correct statement.

1. Age nearest birthday on maturity will be 55

2. Age next birthday on maturity will be 56

3. Age last birthday on maturity will be 55

4. All the above statements are wrong

1. Age nearer birthday 47, next birthday 48, age last birthday 47

2. Age nearer birthday 48, next birthday 49, age last birthday 48

3. Age nearer birthday 46, next birthday 47, age last birthday 46

4. none of the above

2. Calculate age nearer birthday, last birthday and next birthday, incase date of proposal was 7.8.03 and date of birth was 8.4.1956.

Page 3: Insurance   numerical problems

3. If the date of birth is 24. June 1979. the proposal is dated 16.8.2004 and the policy is to commence from 15 April 2004, which among the following would be the correct statement

1. Age nearest birthday is 24

2. Age next birthday is 26.

3. Age last birthday is 25.

4. All the above statements are wrong

1. 51

2. 52

3. 50

4. none of the above

4. Calculate age next birthday if date of proposal is 12.05.2003 and date of birth is 08.01.1953

Page 4: Insurance   numerical problems

5. If the date of birth is 24th January 1976, the proposal is dated 10.08.2004 and the policy is to commence from 10th April 2004, which among the following would be the correct statement.

1. Age nearest birthday is 28

2. Age nearest birthday is 29

3. Age last birthday is 29

4. All the above statements are wrong

1. 42 Years

2. 41 Years

3. 39 Years

4. 41 Years

6. If the date of birth of a proposer is 30.7.1960, what is his age nearer birthday on date 30.7.2002.

Page 5: Insurance   numerical problems

7. If the proposer wants insurance from 28-4-2000 his date of birth is 1-11-1975, what will his age taken for premium calculation.

1. 24 Years

2. 25 Years

3. 26 Years

4. 27 Years

1. 22

2. 23

3. 20

4. 21

8. If a person is born on 2.2.1979, his age nearer birthday on 5.11.2000 will be_______.

Page 6: Insurance   numerical problems

9. For a person born on 22.5.1985 then his age on birthday i.e. 22.5.2000 will be_______years

1. 14

2. 15

3. 16

4. 17

1. 21

2. 19

3. 20

4. 18

10. If a person is born on 4-7-1981, his age on nearer birthday on 25-11-2000 will be________.

Page 7: Insurance   numerical problems

11. Calculate the age next birthday,if; Date of birth is: 08- Jan-1953 Date of proposal is: 12- May-2003

1. 51

2. 52

3. 50

4. none of the above

1. Age nearest birthday is 28

2. Age nearest birthday is 29

3. Age last birthday is 29

4. All the above statements are wrong

12. If the Date of Birth is 24- Jan-1976, the proposal is dated 10-8-2004 and the policy is to commence from 10-Apr-2004, which among the following would be the correct statement?

Page 8: Insurance   numerical problems

13. Given the following information, indicate which of the four options given below would be the correct half yearly premium for an Endowment policy for Rs. 1 lakh, on the life of person born on 28.06.1974.Term : 35 yearDate of maturity : 24.12.2037Tabular premium for age :-nearest birthday 27 : Rs. 27.46 per thousandnearest birthday 28 : Rs. 27.83 per thousandnearest birthday 29 : Rs.28.37 per thousandPremium adjustment - 5% extra for monthly mode. Rs. 1 less for half yearlymode and Rs. 1.50 less for yearly mode.SA Rebate Rs. 1.50 less for Rs. 50,000 and above

1. Rs. 1,266.50

2. Rs. 1,246.50

3. Rs. 1,293.50

4. none of the above

Page 9: Insurance   numerical problems

14. Given the following information, indicate which of the four options given below would be the correct annual premium (rounded off to the nearest ru­pee) for an Endowment policy on the life of a person born on 28.06.1974. Sum assured : Rs. 50,000 Policy taken on 3rd March, 2003 to be back dated by three months.

Tabular premium for age :­nearest birthday 27 : Rs. 27.46 per thousand nearest birthday 28 : Rs. 27.83 per thousand nearest birthday 29 : Rs.28.37 per thousand Premium adjustment ­ 5% extra for monthly mode. Rs. 1 less for half yearly mode and Rs. 1.50 less for yearly mode. SA Rebate Rs. 1.50 less for Rs. 50,000 and above

1. Rs. 1,241.00

2. Rs. 1,241.50’

3. Rs. 1,242.00

4. none of the above

Page 10: Insurance   numerical problems

15. Calculate premium from the following data.Sum Assured : Rs. 25000 Plan : Endowment 30 yearsMode : QlyTabular premium : Rs. 34.40Proposal accepted with accident benefit and health extra of

Rs. 2.10%c per year.Premium for accident benefit Rs. l %Rebate for half yearly premium NilRebate for 25000 S.A. Rs. 1 %

1. Rs. 215

2. Rs. 170

3. Rs. 228.13

4. Rs. 238

Page 11: Insurance   numerical problems

16. Calculate premium from the following data.Date of commencement 1.4.1992Date of birth 15.4.1961Plan Endowment without profitTabular premiumfor age 31 Rs. 41.50for age 32 Rs.41.65for age 33 Rs. 41.80Sum assured Rs. 100000Mode YearlyProposal accepted at ordinary rates without accident benefit.Rebate for large Sum Assured Rs. 2%oRebate for Yly. mode 3%And double accident Rs. 1 per thousand S.Assd.

benefit is available at annum

1. Rs. 3840

2. Rs. 4165

3. Rs.3965

4. Rs. 3825

Page 12: Insurance   numerical problems

16. Calculate premium from the following data.Sum assured Rs. 100000 Plan Money back 20 years Mode Half­yearly Age nearer birthday 36 years Proposal accepted at ordinary rates with double accident benefit.Tabular premium Rs. 69.25Rebate for Hly. premium 1.5%Rebate for large S.Assd. Rs. 2%oAnd premium for double Rs. l%osum accident benefit

1. Rs. 3261

2. Rs. 3461

3. Rs. 3461

4. Rs. 3361

Page 13: Insurance   numerical problems

17. Calculate the half­yearly premium payable for the following particulars :­Tabular premium Rs. 36.19Adjustments allowedExtra for monthly mode 5% "Rebate for hly mode l%oRebate for yearly mode 1.50%oFor sum assured of Rs. Rs. 2.00 less25000 and above

Rs. 1.00%o sum assured for double accident benefit (max. limit Rs. 3 Lakh)

Proposal for S.A. of Rs. 9.00 lakh has been accepted with D.A.B. and health

extra of Rs. 1.75%o

1. Rs.16188

2. Rs. 15873

3. Rs. 17888

4. Rs. 15688

Page 14: Insurance   numerical problems

18. Calculate the yearly premium for Sum assured :Rs 25000Age nearer birthday :35Riders desired ADB The tab premium is :36.55/1000 SARider Premium : Re 1/1000 SA High SA rebate Rs 25,000 – Rs 49,999 Re 1

Rs 50,000 – Rs 99,999 Rs 1.50Rs 100,000 and over Rs 2

Modal Rebate Yearly 1.5%Half Yearly 1%

1. 900.5

2. 875

3. 1000

4. nil

Page 15: Insurance   numerical problems

19. Calculate the premium from the following data:Sum assured ­ Rs.25,000Endowment plan ­ Rs. 30 yearsMode ­ Quarterly premiumTabular premium ­ Rs. 34.40Proposal accepted with accident benefit and health extra of Rs.2.10 per thousand per year Charge for accident premium is Re.1/­ for thousand per annum, rebate for sum assured Rs.25,000 is Rs.1/­ and no rebate for mode

1. Rs.215.00

2. Rs. 170.00

3. Rs. 228.13

4. Rs. 238.00

Page 16: Insurance   numerical problems

20. Calculate the half premium payable from the following particulars:Tabular premium is ­ Rs. 36.19Adjustment allowed ­5%extra for monthly mode, Re.1.00 for half yearly mode and Rs 1.50 for yearly mode,Rs. 2 lakh for sum Assured of Rs 25,000 and above Re. 1.00per thousand SA of Rs. 9 lakh has been accepted with DAB n and health extra of rs 1.75 Per thousand

1. Rs. 15,688

2. Rs. 16,188

3. Rs. 15,873

4. Rs. 17,888

Page 17: Insurance   numerical problems

21. Calculate the half yearly premium payable form the following particulars:Tabular premium is Rs.36.19 Adjustment allowed 5% extra for monthly mode Rs.1.00 half yearly mode and Rs. 1.50 for yearly mode, Rs. 2 less for sums assured of Rs 25,000 and above Rs.1.00 per thousand S.A for double accident benefit (Maximum limit Rs. 3 lakh) Proposal for SA of Rs. 9 lakh has been accepted with DAB and health extra of Rs1.75 per thousand

1. Rs.15,688

2. Rs. 17,888

3. Rs 16,188

4. Rs.15,873

Page 18: Insurance   numerical problems

22. Given the following information, indicate which of the four options given below shows the monthly premium (rounded off to the nearest rupee) to be paid by a person born on 28-6-1974, who has taken an Endowment policy on his life. SA- Rs. 40,000; Term-35 yrs; Date of Maturity- 24-12-2037.Tabular premium for age nearest birthday:27 years - Rs.27.46 per thousand28 years – Rs. 27.83 per thousand29 years – Rs. 28.37 per thousandPremium adjustment- 5% extra for monthly mode, Re.1 less for half- yearly mode and 1.50 less for yearly mode.SA Rebate Rs. 1.50 less for Rs. 50,000 and above

1. Rs. 97.00

2. Rs.97.40

3. Rs.97.50

4. None of the above

Page 19: Insurance   numerical problems

23. Calculate paid up value if :Sum Assured : Rs. 25,000Plan and Term : Endowment - 10 yearsDate of commencement 1st January, 1997Date of 1st Unpaid Premium 1 January, 2000Mode of Payment Quarterly

1. Rs. 10,000

2. Rs. 7,500

3. Rs. 8,500

4. nil

24. Calculate paid up value if :Sum Assured : Rs.10,000Plan and Term : Endowment - 20 yearsDate of commencement : 1st August, 1997Date of 1st Unpaid Premium : 1 February, 2001Mode of Payment : half yearly

1. Rs. 1,500

2. Rs. 2,250

3. Rs. 2,000

4. Rs. 1,750

Page 20: Insurance   numerical problems

25. From the following Calculate paid up value if :Sum Assured : Rs. 40,000Plan and Term : Endowment - 25 yearsDate of commencement : 1st September, 2000Date of 1st Unpaid Premium : 1st April, 2002Mode of Payment : half yearly

1. Rs. 1600

2. Rs.2400

3. Rs.3200

4. Rs. Nil

26. Sum assured : Rs100000Mode : YearlyPlan : Endowment policy without profitTerm : 30 yearsD.O.C. : 25.10.1993F.U.P. : 25.10.2001The paid up value will be_______

1. Rs. 25666

2. Rs. 26667

3. Rs. 30

4. Rs. 25667

Page 21: Insurance   numerical problems

27. What would be the paid up value of a 25 year endowment policy for Rs.50000 taken in Oct. 1988, if the last half-yearly premium paid was in Oct. 2000?

1. Rs. 25000

2. Rs. 27000

3. Rs. 24000

4. Rs. 26000

28. From the following particulars, calculate the paid-up value:

Sum assured Rs. 50000Plan Endowment without profitsTerm 20 yearsDate of commencement 19-2-1994Last premium paid yearly 19-2-2000

1. Rs. 50000

2. Rs. 17500

3. Rs. 15000

4. Rs.18000

Page 22: Insurance   numerical problems

29. Given that :- Sum assured - Rs. 1,00,000 Premium payment - yearly modeTable Term -endowment policy 30 years without profit.Date of commencement - 25.10.1993First unpaid premium -25.10.2001 The paid up value will be___________

1. Rs. 26,667

2. Rs. 30

3. Rs. 25,667

4. Rs. 25,666

Page 23: Insurance   numerical problems

30. Given the following data, what would be the maximum permissible loan available under the policy on 5th July, 2004: SA- Rs. 2,00,000; Plan & term- Endowment & 33 yrs; DOC- 19-4-1987; Premium Position- Half yearly premium due in April 2003 paid. Bonus vested after valuation on 31-3-2003 Rs. 50,000, S.V. Factor, Duration- 15yrs- 27%, 16 yrs-30%, 17yrs- 32%. Loan is upto maximum of 90% of SV (rounded upto next higher rupee)

1. Rs. 37,500

2. Rs. 40,000

3. Rs. 45,000

4. Rs. 48,000

31. If the policy for SA Rs. 50.000 had become paid up for Rs. 25,000, the bonus vested till the date of last unpaid premium was Rs. 28,000, and further bonuses at the rate of Rs. 40 per thousand SA had been declared by the insurer for the remaining ten years till the date of maturity, what would be the amount receivable on maturity.

1. Rs. 25,000

2. Rs. 53,000

3. Rs. 63,000

4. Rs. 73,000

Page 24: Insurance   numerical problems

32. If a policyholder asks for the surrender of a policy that has remained paid up for Rs. 70,000 (after payment of 25 half yearly installments of premium of Rs. 2200 each) and the appropriate SA factor is 40%, what would be the amount of surrender value payable

1. Rs. 25,800

2. Rs. 28,000 c

3. Rs. 25,800 plus vested bonus

4. Rs. 28,000 plus vested bonus

33. Given that the insurer calculates premium on the basis of age nearest birthday, what would be the half-yearly premium on a policy Rs. 1 lakh for a person born on 30th October 1980, whose proposal dated 21st August 2004 has been accepted with extra of Rs.5 per thousand. Risk is to commence on 25th April 2004. Tabular premium is as follows. There are no rebates for large SA but 10% is allowed for yearly mode of premium.

1. Rs. 2,925

2. Rs. 3,150

3. Rs. 3,250

4. Rs. 3,500

Age 22 Rs. 60 Age 23 Rs. 65 Age 24 – Rs. 68

Page 25: Insurance   numerical problems

34. A death claim has arisen in a policy for SA Rs. 1 lac, 2 SBs of Rs 20000 each have been paid. The bonus declared and vested till the payment of the first SB was Rs. 400 per thousand SA and for the remaining 5 yrs till the 2nd SB the bonus declared and vested was Rs. 250 per thousand SA. Since then, two yrs have passed and Rs 50 had been declared as bonus in each of these 2 yrs. What would be the amount of claim payable?

1. Rs 1,26,000

2. Rs 1,66,000

3. Rs 1,75,000

4. None of the ab

Page 26: Insurance   numerical problems

35. From the following particulars, calculate the amount of claim payable, if the insured died on 27th Nov. 2000

Date of commencement : 13.12.1984Sum Assured : Rs. 30000Table-term : Endowment 25 years (with profit)Last premium paid : 13.12.1999 (Hly) -^^(Assume that the total bonus declared from 3/85 till 3/1999 is Rs. 600%c S.A. and the half yearly premium Rs. 400/- ignore interest if any)

1. Rs. 48000

2. Rs. 49400

3. Rs. 47600

4. Rs. 49800

Page 27: Insurance   numerical problems

36. From the following particulars, calculate the amount of claim payable, if the insured died on 27th November 2000;Date of commencement - 13.12.1984Sum Assured - Rs.30,000Table-Term - Endowment 30 years (with profit)Last premium paid - 13.12.1999(half yearly)(assume that bonus declared from 3/85 till 3/99 is Rs. 60 per thousand ,and the half yearly premium is Rs. 400/- Ignore interest, if any.)

1. Rs.49,400

2. Rs. 47,600

3. Rs. 49,800

4. Rs. 48,000

Page 28: Insurance   numerical problems

37. Form the following particulars , calculate the amount of claim payable , if the insured died on 27th august 2000:-Date of commencement-13.7.1984Sum assuree -Rs.50,000Table term - Money Back(with profit 25 years)Last premium paid due - 13.7.2000Three installments of Rs. 10,000 each had been paid in 1989,1994 and 1999(Assume that total bonus declared form 3/85 till 3/2000 is Rs.600 per thousand SA and that premium is Rs. 2000/- Ignore interest, if any.)

1. Rs. 78000

2. Rs. 32,000

3. Rs. 50,000

4. Rs.62,000

Page 29: Insurance   numerical problems

38. If the policy for SA Rs. 50,000 had become paid up for Rs. 25,000, the bonus vested till date of last unpaid premium was Rs. 32,000, and further bonuses at the rate of Rs. 40 per thousand SA had been declared by the insurer for the remaining ten years till the date of maturity, what would be the amount receivable on maturity

1. Rs.25,000

2. Rs.41,000

3. Rs.57,000

4. Rs.67,000

39. If a policyholder asks for the surrender of a policy that has remained paid up for Rs. 50,000 (after payment of 25 half yearly paid up for Rs. 2,000 each) and the appropriate SV factor is 40%, what would be the amount of surrender value payable.

1. Rs. 20,000

2. Rs. 20,000 less Rs.2000

3. Rs. 20,000 plus vested bonus

4. 20,000 plus vested bonus less Rs. 2,000

Page 30: Insurance   numerical problems

40. From the following data calculate paid up value: SA- Rs. 23,000; Plan & term- Endowment & 15 yrs; Date of Commencement- 1-03-1973; Date of 1st Unpaid Premium- 1-03-1982; Mode of Payment- Quarterly; Bonus Addition- @ Rs.75 per thousand.

1. Rs. 30,858

2. Rs.28,325

3. Rs.29,325

4. Rs.22,192

41. A death claim has arisen in a policy for SA Rs.1 Lakh, 2 survival benefits of Rs.20, 000 each have already been paid. The bonus declared till the payment of the first survival benefit was Rs.600 per thousand SA and for the remaining 5 years till the second survival benefit was Rs. 300 per thousand SA. Since then, two years have passed and Rs. 80 had been declared as bonuses in each of these two years. What would be the amount of claim payable?

1. Rs. 1,53,600

2. Rs. 1,93,600

3. Rs. 2,06,000

4. None of the above

Page 31: Insurance   numerical problems