Important DI – Table  for SBI PO Mains – 2017

Directions (1- 5): Study the given chart carefully and answer the following questions.

Train A:

Station Arrival

Time

Departure

Time

Distance

From orign in Kms

No. of passenger boarding at each station Fare in Rs
Ahmedabad Starting 5.00 pm 400
Vadodara 6.30 pm 6.35 pm 100 100 50
Bharuch 8.50 pm 9.00 pm 250 90 120
Mumbai 4.00 am 4.10 am 800 300 400
Pune 7.30 am 7.45 am 1050 150 500
Solapur 10.20 am Terminates 1280 620

Train B:

Station Arrival

Time

Departure

Time

Distance

From orign in Kms

No. of passenger boarding at each station Fare in Rs
Solapur Starting 6.00 pm 300
Pune 7.40 pm 7.45 pm 230 150 120
MUmbai 9.30 pm 9.35 pm 480 270 220
Bharuch 5.40 am 5.55 am 1030 50 500
Vadodara 9.00 am 9.10 am 1180 100 570
Ahmedbad 12.00 noon Terminates 1280 620

1. The number of passengers boarding Train A at Vadodara is what percent of the number of passengers boarding Train B at Mumbai?

a) 37.03% 

b) 47.03% 

c) 27.03%

d) 47.30% 

e) None of these

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a) 37.03% 

Required percentage = 100/270 × 100 = 37.03%

2. What is the difference between the speed of Train A and that of Train B?

(a) 2.73 kmph 

(b) 1.97 kmph 

(c) 3.6 kmph

(d) 2.62 kmph 

(e) 3.9 kmph

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(a) 2.73 kmph 

 Speed of Train A = 1280 / 10:20 am – 5:00 pm

= 1280 / 17 hours 20 minutes
= 1280 x 3 / 52 = 73.84 kmph
Speed of train B = 1280 / 12:00 noon ⎯ 6:00 pm
= 1280/18 hours = 71.11 kmph
So, difference between the speed of train A and train B = 73.84 ⎯ 71.11 = 2.73 kmph

3. What is the ratio of the total passengers of Train A to that of Train B?

(a) 102 : 79 

(b) 104 : 87

(c) 103 : 87

(d) 110 : 79 

(e) 113 : 87

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(c) 103 : 87

Total passengers in train A = 400 + 100 + 90 + 300 + 150 = 1040
Total passengers in train B = 300 + 150 + 270 + 50 + 100 = 870
So, required ratio = 1040 : 870 = 104 : 87

4. The total income of Train A is what percent of the total income of Train B?

(a) 180% 

(b) 159.51% 

(c) 123.29%

(d) 125% 

(e) 127.64%

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(e) 127.64%

Total income of train A = (400 × 50) + (500 × 70) + (590 × 280) + (890 × 100) + (1040 × 120) = Rs.434000
Total income of train B = (300 × 120) + (450 × 100) + (620 × 280) + (670 × 70) + (770 × 50) = Rs.340000
So, required % = 434000 x 100 / 340000
= 127.64% of the total income of train B.

5. If the average speed of Train A increases by 10% then when will it reach to its destination?

(a) 7:45 am

(b) 9:45 am 

(c) 8:45 am

(d) 10:45 am

(e) 11:45 am

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(c) 8:45 am

 If the average speed of train A increases by 10%
then its new speed = 73.84 × 110/100
= 81.22 kmph
Time taken by train A during the journey = 1280/81.22 = 15.75 hours = 15 hours 45 minutes
The time when the train will reach its destination = 5 pm + 15 hours 45 minutes = 8:45 am

Directions (6 – 10): Number of Different Types of Batteries Sold by a Company over the Years (Numbers in Thousands)

Year Types of Batteries
4AH 7AH 32AH 35AH 55AH Total
1992 75 144 114 102 108 543
1993 90 126 102 84 126 528
1994 96 114 75 105 135 525
1995 105 90 150 90 75 510
1996 90 75 135 75 90 465
1997 105 60 165 45 120 495
1998 115 85 160 100 145 605

6. What was the approximate percentage increase in the sales of 55AH batteries in 1998 compared to that in 1992?

(a) 28%

(b) 31%

(c) 33%

(d)34%

(e)None of these

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(d)34%

7. The total sales of all the seven years is the maximum for which battery?

(a) 4AH

(b) 7AH

(c) 32AH

(d) 35AH

(e) None of these

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(c) 32AH

The total sales (in thousands) of all the seven years for various batteries are:

For 4AH = 75 + 90 + 96 + 105 + 90 + 105 + 115 = 676

For 7AH = 144 + 126 + 114 + 90 + 75 + 60 + 85 = 694

For 32AH = 114 + 102 + 75 + 150 + 135 + 165 + 160 = 901

For 35AH = 102 + 84 + 105 + 90 + 75 + 45 + 100 = 601

For 55AH = 108 + 126 + 135 + 75 + 90 + 120 + 145 = 799.

Clearly, sales are maximum in case of 32AH batteries.

8. What is the difference in the number of 35AH batteries sold in 1993 and 1997?

(a) 24000

(b) 28000

(c) 35000

(d) 39000

(e) None of these

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(d) 39000

Required difference = [(84 – 45) x 1000] = 39000.

9. The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the year?

(a) 1994

(b) 1995

(c) 1996

(d) 1997
(e) None of these

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(d) 1997

The percentages of sales of 4AH batteries to the total sales in different years are:

10. In case of which battery there was a continuous decrease in sales from 1992 to 1997?

(a) 4AH

(b) 7AH

(c) 32AH

(d) 35AH

(e) None of these

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(b) 7AH

b) From the table it is clear that the sales of 7AH batteries have been decreasing continuously from 1992 to 1997.