Thursday, 26 November 2015

IBPS Bank Exam Quantitative Aptitude Mock Test Quiz - 59

1. A motor states with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
(a) 2 image001                                              
(b) 4 image003                               
(c) 4 hours 5 minutes
(d) Cannot be determined                   
(e) None of these

2. A train running at the speed of 20 meters/ second crosses a pole in 24 seconds less than the time it requires to cross a plat form thrice its length at the same speed. What is the length of the train?
(a) 270 meters                                                  
(b) 340 meters                      
(c) 180 meters
(d) cannot be determined                             
(e) None of these

3. A man takes 6 hours 35 minutes in walking to a certain place and riding back. He would have taken 2 hours less by riding both ways. What would be the time he would take to walk both ways?
(a) 4 house 35 minutes                   
(b) 8 hours 35 minutes                      
(c) 10 hours
(d) 8 hours 25 minutes                   
(e) None of these

4.  A train travelling at the speed of 60 kmph crosses a platform in 20 seconds. What is the length of the train?
(a) 333 meters                                      
(b) 300 meters                              
(c) 336 meters
(d) cannot be determined               
(e) None of these

5. A boat running downstream covers a distance of 30 kms in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed of the current is half that of the boat, what is the speed of that boat in kmph ?
(a) 15                                                     
(b) 5                                                    
(c) 10
(d) Cannot be determined          
(e) None of these

6. Samir drove at the speed of 45 kmph. From home to a resort. Returning over the same route, he got stuck in traffic and took an hour longer, also he could drive only at the speed of 40 kmph. How many kilometres did he drive each way?
(a) 250 kms          
(b) 300 kms        
(c) 310 kms          
(d) 275 kms           
(e) None of these

7. A 240 meters long train crosses a platform twice its length in 40 seconds. What is the speed of the train?
(a) 6 meters /sec         
(b) 28 meters / sec            
(c) 18 meters / sec       
(d) 16 meters / sec           
(e) None of these.

8. A boat running at the speed of 34 kmph downstream covers a distance of 4.8 kms. In 8 minutes. The same boat while running up stream same speed covers the same distance in 9 minutes. What is the speed of the current?
(a) 2.4 kmph       
(b) 3 kmph           
(c) 2 kmph            
(d) 3.2 kmph            
(e) None of these

9. A bus started its journey from Ramgarh and reached devgarh in 44 minutes with its average speed of the bus is increased by 5 km / hour, how much time will it take to cover the same distance?
(a) 40 minutes        
(b) 38 minutes        
(c) 36 minutes        
(d) 31 minutes         
(e) 49 minutes

10. A man walked at a speed of 4 km / hr from point A to B and came back from point B to A at the speed of 6 km / hr. What would be the ratio between the time taken by man in walking from point A to B to point B to A respectively?
(a) 5 : 3        
(b) 2 : 3        
(c) 2 : 1         
(d) 4 : 3        
(e) 3 : 2



Answers:

1 (b )    2 (e )    3 ( b)     4 ( d)    5 (c )  6 (e )    7 (c)     8 (c )    9 ( a)    10 (e )

Explanation

1. Initial Speed of motor = 70 kmph.
Distance covered in first 2 hours = 2 × 70 = 140 kms.
For next two hours speed of motor = 80 kmph.
Distance covered in next 2 hours = 2 × 80 =  160 kms.
Distance covered in first 4 hours = 140 + 160 = 300
Remaining distance = 345 -300 = 45 km
This distance will be covered at the speed of 90 kmph.
Time taken = 45/90 = ½ hour
Total time taken= 4 + image005

2. Let the length of train be x meters.
Time taken in crossing the bridge = image007
Time taken in crossing the bridge = image009
As given,
image011
image013
image015
= 160 m

3. Time taken in walking one way + riding other way
= 6 hours 35 minutes …… (i)
Time taken in riding both ways = 4 hours 35 minutes ….. (ii)
By equation (i) × 2 – (ii),
2 × Time taken in walking one way = 13 hours 10 minutes – 4 hours 35 minutes
= 8 hours 35 minutes

4. When a train crosses a platform, the distance covered= length of platform and the train.
Speed = image017
Thus we have inadequate data.

5. Let the speed of boat in still water = x kmph
Speed of current = image019
When boat runs downstream ,
image021  = image023
image025
image027

6. Let the required distance be x km.
According to the question,
image029
image031
image033
X=360 km.

7. Length of the train = 240 meter
Length of the platform = 480 meter
We know that when a train crosses a platform, it covers a distance equal to the sum of its length and that of platform.
Speed of train = image035  m / sec
image037  m / sec

8. Let the speed of boat in still water be x kmph and that of current be y kmph.
And,
image039
image041
image043
image045
By equation (i) – (ii),
image047
image049

9. Distance between Ramgarh and Devgarh = image051
New speed = 55 kmph  km/minuteimage053
Required time = image055

10. Required ratio = 6 : 4 = 3 : 2
[As time taken is inversely proportional to the speed.]


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