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Mathmetics

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

Q361.
Rs. 3757 is to be divided between A and B such that A’s share at the end of 7 years may be equal to B’s share at the end of 9 years. If rate percent be 10% p.a. compound Interset, B’s share is -
1) Rs. 1700 2) Rs. 1500
3) Rs. 2057 4) Rs. 1400
5)None of these
Answer : Rs. 1700
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Q362.
If the simple interest on a sum of money for 2 years at 5% p.a. is Rs. 50. What is the compound interest on the same sum at the same rate and for the same time ?
1) Rs. 54.25 2) Rs. 52
3) Rs. 51.25 4) Rs. 60.50
5)None of these
Answer : Rs. 51.25
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Q363.
A freight train left, Bhubaneswar for Chennai at an average speed of 40 km/hr. Two hours later, an express train left Bhubaneswar for Chennai following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train ?
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.
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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Q364.
Directions: In a survey of a locality,the number of male adults  and female non-adults in 30 each.
The number of female  adults  and male non adults in 20 each. Every female adult is well versed in at least one of the two languages - Hindi and English. Every male non adu1t is well-versed with at least one of the two languages - Hindi and English. There are 7 male adults and 8 female non-adults do not know any of the two languages. There are10 male non-adults and 18 female adults are well versed in both the languages. There are 20 male adults and 17 female non-adults are well versed in only one of the two languages.

Based on the information given above answer the next four items:

What is the number of persons who can talk to each other both the languages ?

1) 25 2) 36
3) 42 4) Can't be determined
5)None of these
Answer : 36
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Q365.
Directions: In a survey of a locality,the number of male adults  and female non-adults in 30 each.
The number of female  adults  and male non adults in 20 each. Every female adult is well versed in at least one of the two languages - Hindi and English. Every male non adu1t is well-versed with at least one of the two languages - Hindi and English. There are 7 male adults and 8 female non-adults do not know any of the two languages. There are10 male non-adults and 18 female adults are well versed in both the languages. There are 20 male adults and 17 female non-adults are well versed in only one of the two languages.

Based on the information given above answer the next four items:

What is the number of non adults who are well versed in at least one of the two languages ?
1) 24 2) 28
3) 42 4) Can't be determined
5)None of these
Answer : 42
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Q366.
Directions: In a survey of a locality,the number of male adults  and female non-adults in 30 each.
The number of female  adults  and male non adults in 20 each. Every female adult is well versed in at least one of the two languages - Hindi and English. Every male non adult is well-versed with at least one of the two languages - Hindi and English. There are 7 male adults and 8 female non-adults do not know any of the two languages. There are10 male non-adults and 18 female adults are well versed in both the languages. There are 20 male adults and 17 female non-adults are well versed in only one of the two languages.

Based on the information given above answer the next four items:

What is the number of males who are well-versed in Hindi only ?
1) 10 2) 20
3) 32 4) Can't be determined
5)None of these
Answer : Can't be determined
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Q367.
Directions: In a survey of a locality,the number of male adults  and female non-adults in 30 each.
The number of female  adults  and male non adults in 20 each. Every female adult is well versed in at least one of the two languages - Hindi and English. Every male non adu1t is well-versed with at least one of the two languages - Hindi and English. There are 7 male adults and 8 female non-adults do not know any of the two languages. There are10 male non-adults and 18 female adults are well versed in both the languages. There are 20 male adults and 17 female non-adults are well versed in only one of the two languages.

Based on the information given above answer the next four items:

What is the number of females who are well-versed in both the languages ?
1) 20 2) 22
3) 23 4) Can't be determined
5)None of these
Answer : 23
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Q368.
In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Mathematics and 2 more marks for his Geography, his average would have been 65. How many subjects were there in the examination ?
1) 8 2) 10
3) 11 4) 14
5)None of these
Answer : 11
Explanation :
Let, the number of subjects = x
Then, Total marks he scored for all subjects = 63x
If he had obtained 20 more marks for his mathematics and 2 more marks for his geography, his average would have been 65.
=> Total marks he would have scored for all subjects = 65x
Now, we can form the equation as 65x - 63x = the additional marks of the student 
= 20 + 2 = 22
=> 2x = 22
=>x=22/2=11
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Q369.
A batsman makes a score of 96 runs in the 16th innings and thus increases his averages by 2. What is his average runs after 16th innings ?
1) 62 2) 64
3) 66 4) 72
5)None of these
Answer : 66
Explanation :
Let, the average up to 15th innings = x. 
Total runs scored in 15 innings = 15x
Then average after 16 innings = (x+2). 
Total runs scored in 16 innings = (15x + 96)
So, (15x + 96)/16 = (x+2)
=> 15x + 96 = 16x + 32
=> x = 64
Therefore, his average run after 16th innings is 64+2= 66 runs.
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Q370.
The average weight of 10 person  increases by 3 kg when a new person comes in place of one of them weighing 45 kg. What is the weight of the new person?
1) 75 Kg 2) 65 Kg
3) 80 Kg 4) 85 Kg
5)None of these
Answer : 75 Kg
Explanation :
Total increase in weight = 10×3 = 30
If x is the weight of the new person, total increase in weight = x - 45
=> 30 = x - 45
=> x = 30 + 45 = 75 kg
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