Mathmetics

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

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Q1.
When 20% of a number added to another number, the second number increases by its 50%. what is the ratio between two numbers ? 
1) 2:5 2) 5:2
3) 2:3 4) 3:4
5)None of these
Answer : 5:2
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Q2.
In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?
1) 425 2) 480
3) 520 4) 625
5)None of these
Answer : None of these
Explanation : Let, the full mark be 100%.
A boy should requires marks to pass =  483 +117 = 600 
So, the full mark = 600  i.e. 100%
So, the required mark for a girl should = (600/40) x 35 = 525
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Q3.
Alok spends 23% of an amount of money on an insurance policy, 33% on food, 19% of children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much total amount did he spend on food and insurance policy together ?
1) Rs.3200 2) Rs.3126
3) Rs.3136 4) Rs.3048
5)None of these
Answer : Rs.3136
Explanation :
Let, the total amount of money with Alok be Rs.x .
x = (504 x 100)/[100 - (23+33+19+16) ]= Rs. 5600
Reqd. amount of money
= ( Rs. 5600 x 56)/100= Rs. 3136
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Q4.
A shopkeeper wants to buy 600 kg watermelon,contain 99% water. On the way of shipping due to dehydration ,it contain only 98% water when it reaches at the destination. What is the present mass of the watermelon ?
1) 294 kg 2) 300 kg
3) 494 kg 4) 588 kg
5)None of these
Answer : 300 kg
Explanation : Given, Original weight watermelon is 600 kg . 
99% water i.e. 600X99/100= 594 kg and 6 kg non-water substance.
After, dehydration, now 98% water in new content.
But non-water substance remain constant. In the new content, water contain 2% and non-water contain 98%.
So, 2% = 6kg.
Or 98% = (6/2) X 98 =294 kg.
Therefore, present mass = 294+6= 300kg.
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Q5.
There are 480 students in a class, consists of boys and girls, appearing in an examination. 85% of girls and 70% of boys pass in that examination. How many boys pass in the examination, if over all 75% of the students pass in that examinations ?
1) 224 2) 216
3) 236 4) 244
5)None of these
Answer : 224
Explanation : Let, boys are x. So, girls are (480 -x).
Then, 70x/100 + 85(480 -x)/100 = 480 (75/100)
or (70x + 408,00 - 85x) = 36,000
or -15x = -4800
or x =320
So, boys pass = 320 X 70/100 = 224
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Q6.
When 30% of a number added to another number , the second number is increases by 50%.What is the ratio between the first number to second number ?
1) 3:5 2) 5:3
3) 2:3 4) 4:5
5)None of these
Answer : 5:3
Explanation : Let, two numbers are x and y respectively.
So, 30x/100 + y = y +50y/100
or 3x = 5y
or x:y = 5:3
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Q7.
In a test, minimum pass percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What are the minimum passing marks for the girls ?
1) 475 2) 525
3) 545 4) 550
5)None of these
Answer : 525
Explanation : Let, the Full Mark be 100%.
A boy scored 483 marks and failed by 117 marks i.e. the pass mark be 483 + 117 = 600
So, 40% = 600
or 100% = (600/40) x 100 = 1500
The minimum passing marks for the girls is = 1500 x (35/100) = 525
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Q8.
On a test consisting 150 questions carrying 1 mark each. A student answered 80% of the first 75 questions correctly. What per cent of the other 75 questions does the student  need to answer correctly to score 60% on the entire exam ?
1) 24% 2) 30%
3) 40% 4) 45%
5)None of these
Answer : 40%
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Q9.
The length of a rectangle is increased by 30% and the breadth of the rectangle is increased by 20%. Then the perimeter of the rectangle will increase by what percent ?
1) 30% 2) 26%
3) 56% 4) D.I
5)None of these
Answer : D.I
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Q10.
In a History examination, the average of the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks. What was the average marks of the remaining students of the class ?
1) 55 2) 65
3) 75 4) 78
5)None of these
Answer : 75
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