# RRB PO Prelims Quantitative Aptitude (Day-07)

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Data Interpretation

Direction (1-5): Study the following information carefully and answer the questions given below.

The given bar graph shows the number of students from 6 different colleges.

1) Ratio of the number of boys to girls from A is 5: 4. If the hostel fee of a girl is Rs.10000 and a boy is Rs.12000, then find the total hostel fee of both boy and girl?

A) 30 lakh

B) 20 lakh

C) 40 lakh

D) 60 lakh

E) None of these

2) What is the average number of students from B, C, D, E and F together?

A) 400

B) 401

C) 402

D) 404

E) None of these

3) The ratio of the number of boys to girls from B and E is 7:8 and 5:3 respectively. The number of girls from B and E together is approximately what percent of the number of boys from B and E together?

A) 82%

B) 85%

C) 89%

D) 92%

E) None of these

4) The number of students from C is what percent of the total number of students from D?

A) 40%

B) 50%

C) 55%

D) 45%

E) None of these

5) What is the ratio of the average of the students from A, B and F together to the average number of students from C, D and E together?

A) 31:41

B) 16:21

C) 33:43

D) 35:44

E) None of these

Application sums

6) Ratio of the cost price to marked price of the mobile is 5:6. The shopkeeper offers a discount is 20%. IF the sum of the marked price and cost price of the mobile is Ra.4400, then what is the profit or loss earned by shopkeeper?

A) Rs.40 profit

B) Rs.80 loss

C) Rs.40 loss

D) Rs.80 profit

E) None of these

7) Train A and train B crosses a electric pole in 18 seconds and 16 seconds respectively and the ratio of the length of train A to B is 3: 4. If the speed of train A is 60 kmph, find the speed of train B?

A) 80 kmph

B) 90 kmph

C) 100 kmph

D) 120 kmph

E) None of these

8) The boat row with current and against the current in 18 hours and the ratio of the speed of boat in still water to stream is 3:1. If the distance covers a boat is 120 km, then find the downstream speed?

A) 16 kmph

B) 20 kmph

C) 24 kmph

D) 28 kmph

E) None of these

9) A milkman has 80 litres mixture of milk and water in the ratio of 11: 9. If he sold 40 litres of mixture and then he replace by 8 liters of milk and x litres of water, now the ratio of the milk and water is 1: 1. Find the value of x?

A) 10 litres

B) 12 litres

C) 14 litres

D) 16 litres

E) None of these

10) A, B and C started the business with investment of Rs.x, Rs.(x + 500) and Rs.2x respectively and after 12 months C left the business. At the end of two years the total profit is Rs.Rs.5200 and the difference between the profit share of A and B is Rs.1000. Find the value of x?

A) Rs.700

B) Rs.1200

C) Rs.1400

D) Rs.1800

E) None of these

Directions (1-5) :

Boys from A = 5/9 * 360 = 200

Girls from A = 4/9 * 360 = 160

Total hostel fee of boys = 200 * 12000 = 2400000

Total hostel fee of girls = 160 * 10000 = 1600000

Total revenue = 2400000 + 1600000 = 4000000 = 40 lakh

Average = (450 + 280 + 560 + 480 + 240)/5

= 402

Number of boys from B = 450 * 7/15 = 210

Number of girls from B = 450 * 8/15 = 240

Number of boys from E = 5/8 * 480 = 300

Number of girls from E = 3/8 * 480 = 180

Required percentage = (240 + 180)/(300 + 210) * 100

= 82%

Required percentage = (280/560) * 100 = 50%

Required ratio = (360 + 450 + 240)/3:(280 + 560 + 480)/3

=350: 440

= 35: 44

Directions (6-10) :

MP = 6x

CP = 5x

11x = 4400

x = 400

CP = 400 * 5 = Rs.2000

MP = 6 * 400 = Rs.2400

SP = 2400 * 80/100 = 1920

Loss = 2000 â€“ 1920 = Rs.80

Length of train A = 3x

Length of train B = 4x

Distance = Speed * time

Speed of train B = y

3x = 60 * 5/18 * 18

x = 100 m

Length of train B = 4 * 100 = 400 m

400 = y * 5/18 * 16

y = 90 kmph

120/4x + 120/2x = 18

(1 + 2)/4x = 18/120

x = 5

Speed of the boat in still water = 3 * 5 = 15 kmph

Speed of the stream = 5 kmph

Speed of the downstream = 15 + 5 = 20 kmph

Milk in 80 litres = 11/20 * 80 = 44 litres

Water in 80 litres = 9/20 * 80 = 36 litres

Milk in 40 litres = 11/20 * 40 = 22 litres

Water in 40 litres = 9/20 * 40 = 18 litres

(44 â€“ 22 + 8)/(36 â€“ 18 + x) = 1/1

30 = 18 + x

x = 12 litres

Profit ratio of A, B and C = x * 24: (x + 500) * 24:2x * 12

= 2x: (2x + 1000): 2x

1000/(6x + 1000) = 1000/5200

6x + 1000 = 5200

6x = 4200

x = 700

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