Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1. 

1)  456 km  2)  482 km 
3)  548 km  4)  552 km 
5)  None of these 
Answer : 552 km
Explanation :
Explanation :
Given, the first term, a = 35, common difference, d = 2 and total number of terms, (n) = 12.
The sum of this series will be the total distance travelled.
Sum, S_{n}= n/2[2a + (n  1) d] = 6 [70 + 11 x 2] = 552 km.
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Q2. 

1)  1 : 3  2)  3 : 2 
3)  3 : 4  4)  Data Inadequate 
5)  None of these 
Answer : 3 : 2
Explanation :
Explanation :
Let, the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres, and length of the second train = 17y metres.
27x + 17y = 23 (x+ y)
or 27x + 17y = 23x + 23y
or 4x = 6y
or x/y = 3/2
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Q3. 

1)  230 m  2)  240 m 
3)  260 m  4)  320 m 
5)  None of these 
Answer : 230 m
Explanation :
Explanation :
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Q4. 

1)  40 sec  2)  42 sec 
3)  45 sec  4)  48 sec 
5)  None of these 
Answer : 40 sec
Explanation :
Explanation :
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Q5. 

1)  1 : 3  2)  3 : 2 
3)  3 : 4  4)  4 : 3 
5)  None of these 
Answer : 3 : 2
Explanation : Let, the speeds of the two trains be x m/sec and y m/sec respectively.
Explanation : Let, the speeds of the two trains be x m/sec and y m/sec respectively.
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Q6. 

1)  45 km/hr  2)  50 km/hr 
3)  54 km/hr  4)  55 km/hr 
5)  None of these 
Answer : 50 km/hr
Explanation : Given,
Explanation : Given,
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Q7. 

1)  10  2)  12 
3)  15  4)  20 
5)  None of these 
Answer : 12
Explanation : Given,
Explanation : Given,
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Q8. 

1)  200 m  2)  225 m 
3)  245 m  4)  250 m 
5)  None of these 
Answer : 245 m
Explanation :
Explanation :
Given,
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Q9. 

1)  230 m  2)  240 m 
3)  260 m  4)  270 m 
5)  None of these 
Answer : 240 m
Explanation : Given,
Explanation : Given,
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Q10. 

1)  220km  2)  240km 
3)  250 km  4)  260 km 
5)  None of these 
Answer : 240km
Explanation : The first train after 2hours covers a distance 40 x 2 = 80 kms.
Explanation : The first train after 2hours covers a distance 40 x 2 = 80 kms.
Then, the second train starts and time for both trains is same .
According to relative speed formula, the relative speed in same direction = 60  40 =20kmph
So, time taken to cover the 80km = 80/20= 4 hrs
Therefore, the total distance = 60 x 4 = 240kms.
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