Mathmetics

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

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Q1.
The ratio of the sum and the difference of two numbers is 3: 1. Then what is the ratio of these two numbers ?
1) 3 : 2 2) 2 : 1
3) 3 : 1 4) 4 : 3
5)None of these
Answer : 2 : 1
Explanation :
Let, the number be ‘x’ and ‘y’
So, (x+y)/(x-y) = 3/1
or x + y = 3x - 3y  
or 2x = 4y
or x:y = 2:1 
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Q2.
Two numbers are such that their difference, their sum and their product are in the ratio 1:7:24 respectively. What is the product of the two numbers ?
1) 12 2) 24
3) 36 4) 48
5)None of these
Answer : 48
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Q3.
The income of A,B and C together is Rs.14500 and they spend  60%,65% and 70% of their income respectively. If their savings are in the ratio 14:21:15 . What is the income of  B ?
1) Rs.4000 2) Rs.4800
3) Rs.5600 4) Rs.6000
5)None of these
Answer : Rs.6000
Explanation : We know that, income - expenditure = saving
Let, their income are 100% individually. 
So, A's saving = 100 - 60= 40% ; B's saving = 100 - 65= 35% ; C's saving = 100 - 70= 30%
But their saving ratio are 14:21:15.
Then, A's income , 40% = 14 or 100% =( 14/40) x 100 = 35
B's income , 35% = 21 or 100% =( 21/35) x 100 = 60
C's income , 30% = 15 or 100% =( 15/30) x 100 = 50
So, 35x + 60x + 50x = Rs.14500
or 145x = Rs.14500
or x = 100
Therefore income of B= 100x60 = Rs.6000.
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Q4.
A and B are two different alloys of gold and copper prepared by mixing metals in the proportion 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloys C, find the ratio of gold and copper in C ?
1) 5 : 7 2) 3 : 7
3) 7 : 5 4) 7 : 8
5)None of these
Answer : 7 : 5
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Q5.
729 ml of a mixture contains milk and water in the ratio 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio of 7:3  ?
1) 72 litres. 2) 81 litres
3) 121 litres 4) 144 litres
5)None of these
Answer : 81 litres
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Q6.
If two alloys contain zinc and copper in the ratio of 2 : 1 and 4 :1. In what ratio the two alloys should be added together to get as new alloy having zinc and copper in the ratio of  3:1 ?
1) 3 : 5 2) 5 : 7
3) 5 : 3 4) 7 : 5
5)None of these
Answer : 3 : 5
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Q7.
An amount of money is to be distributed among P, Q and R in the ratio 5 : 8 : 12, respectively.If the total share of Q and R is four times that of P, what is definitely P’s share ?
1) Rs. 4000 2) Rs. 4800
3) Rs. 5000 4) Can't be determined
5)None of these
Answer : Can't be determined
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Q8.
A mixture contains alcohol and water in the ratio of 6:1. On adding 8 litres of water, the ratio of alcohol to water becomes 6:5. Find the quantity of water in the mixture.
1) 1 litres 2) 2 litres
3) 3 litres 4) 4 litres
5)Non e of these
Answer : 2 litres
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Q9.
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then what is the second number ?
1) 20 2) 30
3) 48 4) 58
5)None of these
Answer : 30
Explanation :
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Q10.
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then what is the second number ?
1) 20 2) 30
3) 48 4) 58
5)None of these
Answer : 30
Explanation :
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