Quant Quiz- Data Interpretation

Quant Quiz- Data Interpretation

Directions (1-4) Study the following line graph to answer these questions

Railway Time Schedule of an Express Train X Running Between City A and City H

a - Arrival of train,      

b - Departure of train

A, B, C, D, E, F, G and H - Cities through which the train runs. 

a-d - Indicates stoppage/halting of the train at the city station.

1.The average speed of the train maintained between two successive stations was maximum between

(1) E – F

(2) F – G

(3) G – H

(4) both G – H and F – G

(5) None of these 

2.Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

(1)4

(2)1

(3) 3

(4)2

(5) None of these

3.If the train stops at each city for 30% more time that what it is at the moment, then at what time will it reach the city H after departing from City A as per schedule?

(1) Data insufficient

(2)17 : 03

(3)16 : 41

(4)16 : 58

(5) None of these

4.The train begins its onward journey from City A and it is extended to beyond City H to a City M due to some unavoidable reason. 

The train starts its return journey immediately after it reached City M. The train returns with a speed of 90 km/h without any stoppages -

in between and reaches City A at 2 : 25 am. Find the distance between City H and City M.

(1)40 km

(2)90 km

(3)70 km

(4)59 km

(5) None of these

Direction  (5-90): Study the following table carefully and answer the questions given below it.

Number of six types of electronic products sold by six different stores in a month and price per product (P)(price in Rs. 000 ) charged by each store.

5.The number of L products sold by Store F is what percent of the total number of the same type of the products sold by Store E?

(1)76.33

(2) 124

(3) 83.33

(4) 115

(5) None of these

6.What is the ratio of total number of N and L type products together sold by Store D and that of the same product sold by Store A?

(1) 119:104

(2) 102:115

(3) 104:115

(4) 117:103

(5) None of these

7.What is the average price per product charged by all the stores together for Product Q?

(1) Rs 14,700

(2) Rs 15,750

(3) Rs 15,200

(4) Rs 14,800

(5) None of these

8.What is the difference in the amount earned by Store A though the sale of P type products and that earned by Store B through the sale of Q type products?

(1) Rs 38.4 Lakhs

(2)Rs 0.384 Lakhs

 (3) Rs 3.84 Lakhs

(4) Rs 384 Lakhs

(5) None of these

9.What is the total amount earned by Store C through the sale of M and O types product together?

(1) Rs 2719.2 Lakhs

(2) Rs 271.92 Lakhs

(3) Rs 2.7192 Lakhs

(4) Rs 27.192 Lakh

(5) None of these.

Answers :-

1. (4) 
the average speed maintained by the train between different stations E and F 106 km in 5/4 h   =((106×4)  )/5 = 84.8 kmph
Similarly, average speed between F and G = 176 km
In 2h = 88 km/h
Between G and H = (110*4)/5  = 88 km/h

2.(4) 
Over all average speed of the entire trip : 860 km in 11 hr 25 min
i.e. (685/137) h   =(860*12)/137   = 75.3 km/h
Average speed maintained by the train between station
A and B 140 km in 12/3h =  (140*3)/5 = 84 km/h
B and C 91 km in  4/3 h=91*(3/4) km/h=68.25 km/h
C and D 149 km in  103/60=(149*60)103  =86.8 km/h
 D and E 88 km in 4/3 h=(88*3)/4=66 km/h
E and F = 84.8 km, FG = 88km/h, GH = 88km/h
Hence, for two stations it runs below the overall average speed

3.(3) 
The train stops at station B for 3 min more
The train stops at station C for 36 sec more
The train stops at station D for 1.5 min more
The train stops at station E for 3 min more
The train stops at station F for 4.5 min more
In all the trains stops 15 min and 36 s more
The train will reach city H after departing from city A at 16h, 40 min, 36 sec i.e., 16h , 41 min approx

4.(4)
Let the distance between city H and city M be x km.
Time taken by the trains from H and A (return)
860/90 = 86/9h
Given, the trains reaches  city A (return) at 2.25 am
i.e, at 26.25(hours)
The train reaches at H (return)
At   =    (26+25/60)-86/9= (16+31/36)h
Time taken from H to M and back
(607/36) - (192/12)= 4/3h
Since the train runs from G to H 88km/h, therefore the train runs 88km/h from city H to city M also. Also speed between city M and city H = 90kmph
x/88+x/90=4/3
 x = 59 km

5.(5)
Number of L types products sold by Store F=48
by Store E=40
Required percentage=  48/40 *100=120

6.(5)
Reqd. ratio = (61+54) : (54+48)
=115:102

7.(2)
Average price = Rs 15750

8.(1)
Reqd. difference = Rs(60 *75-44 *15) *10^3  =Rs(4500-660)   =Rs 38.4 lakhs

9.(4)
Reqd. total amount earned by selling both products M and O by Store C = Rs(57 *5.6+48* 50) *10^3
=Rs(319.2+2400) *10^3 =Rs 27.192 Lakhs