# LIC AAO/SBI PO Prelims Quantitative Aptitude Questions 2019 (Day-13)

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1) P, Q and R started a business by investing Rs. 42000, Rs. 24000 and Rs. 30000 respectively. After 4 months, P invested 40 % more than the initial investment and R invested Rs. 5000 more. And after 4 months, Q withdraws Rs. 4000. Find the total profit at the end of the year, if the share of R is Rs. 62500?

a) Rs. 192850

b) Rs. 214500

c) Rs. 204750

d) Rs. 185600

e) None of these

2) Subhaâ€™s brother is 5 years elder to her. Subhaâ€™s father was 30 years of age when Subhaâ€™s sister was born while Subhaâ€™s mother was 24 years of age when Subha was born. If Subhaâ€™s sister was 3 years of age when Subhaâ€™s brother was born, then what was the age of Subhaâ€™s father when Subhaâ€™s brother was born?

a) 33 years

b) 30 years

c) 27 years

d) 35 years

e) None of these

3) A, B and C can do a work in 16, 28 and 32 days respectively. They undertook to finish the work together for Rs. 10150. Find the difference between the shares of A and C?

a) Rs. 2150

b) Rs. 3200

c) Rs. 2450

d) Rs. 2800

e) None of these

4) The marked price of A is Rs. 3200 more than the cost price. When the discount of Rs. 400 is allowed, the profit of 20 % is earned. At what price should A be sold to earn the profit of 25 %?

a) 16250

b) 17500

c) 21750

d) 19000

e) None of these

5) The difference between Simple interest and Compound interest on a certain sum at the rate of 15% per annum for two years is Rs. 900. Find the compound interest on that sum at the rate of 8% per annum for 2 years?

a) Rs. 5284

b) Rs. 4892

c) Rs. 7128

d) Rs. 6656

e) None of these

Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions:

There are six villages (A, B, C, D, E and F) in a city. Total population of all the given cities together is 3.6 lakhs. The ratio of population of village B, C and E is 5: 6: 3. Total population of village A and F together is 1 lakh. The ratio of population of C and D is 9: 5. The population of village A is 10000 less than the population of village B.

6) If the ratio between the literate to that of illiterate population in village A and C is 7: 6 and 13: 5 respectively, then find the difference between the total literate population in village A to that of total illiterate population in village C?

a) 7000

b) 15000

c) 10000

d) 18000

e) None of these

7) If the percentage of male population in city B and the percentage of female population in city E is 48 % and 40 % respectively, then find the ratio between the total female population in city B to that of total male population in city E?

a) 13: 9

b) 27: 16

c) 18: 11

d) 33: 17

e) None of these

8) Find the average population of A, C, D and F together?

a) 62500

b) 55250

c) 60000

d) 58750

e) None of these

9) If the ratio of male to that of female in city A is 7 : 6 and the percentage of female population in city C is 46 %, then the total female population in city A is approximately what percentage of total male population in city C?

a) 78 %

b) 62 %

c) 105 %

d) 90 %

e) 113 %

10) Total population of village A and F together is what percentage more/less than the total population of village B and D together?

a) 28 %

b) 12 %

c) 20 %

d) 6 %

e) None of these

The share of P, Q and R

= [42000*4 + 42000*(140/100)*8]: [24000*8 + 20000*4]: [30000*4 + 35000*8]

= > [168000 + 470400]: [192000 + 80000]: [120000 + 280000]

= > 638400: 272000: 400000

= > 399: 170: 250

250â€™s = 62500

1â€™s = 250

Total profit = 819â€™s = Rs. 204750

Let the present age of Subha age be x,

Subhaâ€™s brother age = x + 5

Subhaâ€™s mother age = x + 24

Subhaâ€™s sister age = (x + 5) + 3 = x + 8

Subhaâ€™s father age = (x + 8) + 30 = x + 38

Age of Subhaâ€™s father when Subhaâ€™s brother was born = x + 38 â€“ (x + 5)

= > 33 years

Ratio of Shares of A: B: C = (1/16): (1/28): (1/32) = 14: 8: 7

Difference between the shares of A and C = (7/29)*10150 = Rs. 2450

Let the C.P be x,

M.P = 3200 + C.P = 3200 + x

1. P = (3200 + x) â€“ 400 = 2800 + x

S.P = (120/100)*x = (6/5)*x

2800 + x = (6/5)*x

2800 = (1/5)*x

C.P(x) = 14000

To earn a profit of 25 %,

P = (125/100)*14000 = Rs. 17500

The difference between CI and SI for two years is,

Diff = P*(r/100)2

= > 900 = P*(15/100)2

= > 900 = P*(225/10000)

= > P = 900*10000/225

= > P = Rs. 40000

Compound Interest:

40000*(8/100) = 3200

43200*(8/100) = 3456

C.I = 3200 + 3456 = Rs. 6656

Directions (Q. 6 â€“ 10):

Total population of all the given cities together = 3.6 lakhs = 360000

The ratio of population of village B, C and E = 5: 6: 3

Total population of village A and F together = 1 lakh

The ratio of population of C and D = 9: 5

The ratio of population of village B, C, D and E = 15: 18: 10: 9

The total population of village B, C, D and E together = 3.6 â€“ 1 = 2.6 lakhs

52â€™s = 260000

1â€™s = 5000

Total population of village B = 15â€™s = 75000

Total population of village C = 18â€™s = 90000

Total population of village D = 10â€™s = 50000

Total population of village E = 9â€™s = 45000

The population of village A = The population of village B â€“ 10000

The population of village A = 75000 â€“ 10000 = 65000

The population of village F = 100000 – 65000 = 35000

The ratio between the literate to that of illiterate population in village A = 7: 6

The ratio between the literate to that of illiterate population in village C = 13: 5

The total literate population in village A = 65000*(7/13) = 35000

The total illiterate population in village C = 90000*(5/18) = 25000

Required difference = 35000 â€“ 25000 = 10000

The total female population in city B = 75000*(52/100)

The total male population in city E = 45000*(60/100)

Required ratio = [75000*(52/100)]: [45000*(60/100)]

= > 13: 9

The average population of A, C, D and F together

= > (65000 + 90000 + 50000 + 35000)/4

= > 240000/4 = 60000

The ratio of male to that of female in city A = 7: 6

The percentage of female population in city C = 46 %

The total female population in city A = 65000*(6/13) = 30000

The total male population in city C = 90000*(54/100) = 48600

Required % = (30000/48600)*100 = 61.72 % = 62 %

Total population of village A and F together

= > 65000 + 35000 = 100000

Total population of village B and D together

= > 75000 + 50000 = 125000

Required % = [(125000 â€“ 100000)/125000]*100 = 20 %