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**IBPS Clerk Prelims Quantitative Aptitude Questions 2019 (Day-16)**

**Application sums**

**1) A, B and C started the business by investing in the ratio of 3 : 6 : 5. 30 % of the profit goes to charity; the remaining will be shared by three of them. The share of B is Rs. 24000. Find the total profit?**

a) Rs. 92000

b) Rs. 73000

c) 80000

d) Rs. 104000

e) None of these

**2) 4 women and 5 men can do a work in 8 days. 8 women and 5 men can do a same work in 6 days. How long will 8 women and 5 men can take to do the work?**

a) 6 days

b) 5 days

c) 8 days

d) 7 days

e) None of these

**3) ****Applied to a bill for Rs. 50000. Find the difference between a discount of 25 % to that of two successive discounts of 20 % and 10 %?**

a) Rs. 2250

b) Rs. 1500

c) Rs. 1750

d) Rs. 1800

e) None of these

**4) ****A bag contains 5 red marbles, 6 yellow marbles and 4 green marbles. If three marbles are taken at randomly, then find the probability that 2 marbles are yellow?**

a) 35/72

b) 53/78

c) 11/45

d) 27/91

e) None of these

**5) Three-seventh of a number is equal to five-eight of another number. The difference of these two numbers is 22. Find the numbers?**

a) 70 and 48

b) 52 and 30

c) 66 and 44

d) 85 and 63

e) None of these

**Data interpretation**

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

The following pie chart shows the percentage distribution of union budget (In Rs.) allocated for various schemes in 2018.

Total Revenue = 90000 Crore

**6) Find the average amount allocated for Agriculture, Railway and Health sector together?**

a) 18500 Crore

b) 17100 crore

c) 16800 Crore

d) 15700 Crore

e) None of these

**7) Find the difference between the total amount allocated for MSME sector to that of Finance sector?**

a) 6800 Crore

b) 5600 Crore

c) 7500 Crore

d) 7200 Crore

e) None of these

**8) Find the ratio between the total amount allocated for Agriculture and Infrastructure & transport together to that of total amount allocated for Health and Finance sector together?**

a) 13: 19

b) 5: 8

c) 11: 17

d) 22: 29

e) None of these

**9) Total amount allocated for MSME is approximately what percentage more/less than the total amount allocated for Health sector?**

a) 15 % more

b) 20 % less

c) 33 % less

d) 20 % more

e) 33 % more

**10) In agriculture sector, the ratio between the total amount allocated to different categories namely, agriculture marketing infrastructure, Food processing, Fisheries and Aquaculture and other sources related to agriculture is 8 : 11 : 5 : 3, then find the difference between the total amount allocated to Food processing to that of Fisheries and Aquaculture?**

a) 3400 Crore

b) 3000 Crore

c) 2800 Crore

d) 2500 Crore

e) None of these

**Answers :Â **

**Directions (1-5) :**

**1) Answer: c)**

Investment ratio = 3 : 6 : 5

Bâ€™s share = Rs. 24000

6â€™s = 24000

1â€™s = 4000

14â€™s = 4000*14 = 56000

70 % of total profit = 56000

(70/100)*total profit = 56000

Total profit = 56000*(100/70) = Rs. 80000

**2) Answer: a)**

Total work = (men (or) women)*days

Work equal, so,

(4 w + 5 m)*8 = (8 w + 5 m)*6

32 w + 40 m = 48 w + 30 m

16 w = 10 m

8 w = 5 m = > 1 w = 5/8 m

4 w + 5 m = 4*(5/8) m+ 5 m = 5/2 m + 5 m = 15/2 m

8 w + 5 m = 5 m + 5 m = 10 m

**MenÂ Â Â Â Â Â Â Â Â Â Â days**

15/2Â Â Â Â Â Â Â Â Â Â Â 8

10Â Â Â Â Â Â Â Â Â Â Â Â Â Â ?

(15/2)*8 = 10*x

X= (15/2)*(8/10) = 6 days

**3) Answer: b)**

50000*(75/100) = Rs. 37500

50000*(80/100)*(90/100) = Rs. 36000

Required difference

= > 37500 – 36000

= > Rs. 1500

**4) Answer: d)**

Total probability n(S) = 15C_{3}

Required probability n(E) = 6C_{2} and 9C_{1}

P(E) = n(E)/n(S) = 6C_{2} and 9C_{1} / 15C_{3}

= > 27/91

**5) Answer: a)**

(3/7) of a number = (5/8) of another number

(3/7)*x = (5/8)*y

(x/y) = (5/8)*(7/3) = 35/24

X : y = 35 : 24

11â€™s = 22

1â€™s = 2

The numbers are = 35*2 and 24*2 = 70 and 48

**Directions (6-10) :**

**6) Answer: b)**

The average amount allocated for Agriculture, Railway and Health sector together

= > [(15 + 24 + 18)/100]*90000*(1/3)

= > (57/100)*30000 = 17100 crore

**7) Answer: d)**

The total amount allocated for MSME sector

= > 90000*(12/100)

The total amount allocated for Finance sector

= > 90000*(20/100)

Required difference = 90000*[(20 â€“ 12)/100] = 90000*(8/100) = 7200 Crore

**8) Answer: a)**

The total amount allocated for Agriculture and Infrastructure & transport together

= > 90000*(26/100)

The total amount allocated for Health and Finance sector together

= > 90000*(38/100)

Required ratio = [90000*(26/100)] : [90000*(38/100)] = 26 : 38 = 13 : 19

**9) Answer: c)**

Total amount allocated for MSME

= > 90000*(12/100) = 10800 Crore

Total amount allocated for Health sector

= > 90000*(18/100) = 16200 Crore

Required % = [(16200 â€“ 10800)/16200]*100 = 33.33 % less

**10) Answer: b)**

The ratio between the total amount allocated to different categories namely, agriculture marketing infrastructure, Food processing, Fisheries and Aquaculture and other sources related to agriculture

= >8 : 11 : 5 : 3

The difference between the total amount allocated to Food processing to that of Fisheries and Aquaculture

= > 90000*(15/100)*(6/27)

= > 3000 Crore