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### Mathmetics

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

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##### In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school ?
 1) 72 2) 80 3) 100 4) 120 5) None of these
Explanation :
Let, the Total Number of Students be x.
20% of Students are below 8 years of age.
The Number of Students above or equal 8  years of age =80% of x............(i)
Number of Students of 8 years of age = 48 .....(ii)
Number of Students above 8 years of age =  2/3 ×  Number of Students of 8 years of age.
Number of Students of 8 years of age.
Number of Students above age of 8 =2/3 × 48=32---(iii)
From equation (i), (ii) and (iii),
80% of x = 48+2/3 of 48
80% of x  = 80
x = 100. View Answer
##### A student scores 50% in an examination and after review, even though his score is increased by 40%, he fails by 30 marks. If his post-review score is increased by 20%, he will have 12 marks more than the passing score. What should be the percentage of mark needed for passing the examination ?
 1) 60 2) 70 3) 72 4) 80 5) None of these
Explanation :
Let, the total Maximum marks in exam = 100%
His score = 50% of 100 = 50
His marks after review = 140% of 50 = 70
His marks after post review = 120% of 70 = 84
A.T.Q  84% – 12 =70% + 30
14% = 42
or 100% = 300
So passing marks = 300(70/100) + 30 = 240
Total marks = 100% = 300
Thus, required percentage score needed for passing the examination = (240/300 )  X 100 = 80% View Answer
##### A vendor buy Fresh Fruits, contain 70% water and also buy Dry Fruits which contain 40% water. If he buys 120 kg of Fresh Fruits,how much quantity of Dry Fruits can be obtains from  that quantity?
 1) 56 kg 2) 60 kg 3) 64 kg 4) 72 kg 5) None of these
Explanation : Given ,total quantity of fresh fruits = 120 kg
In the fresh fruits , water contain = 120 x (70/100 ) = 84 kg and non-water contain = 120-84 = 36 kg.
In the Dry fruits, water contain  = 40%  and non-water contain 60%.
Since, Non-water quantity is always constant i.e.
60% = 36 kg
or 100% = (36/60) x 100 = 60 kg
Thus , Dry fruits quantity = 60 kg in 120 kg of Fresh fruits . View Answer
##### The weights of two persons A and B are in the ratio of 4 : 5. The weight of 'A' increases by 10% and the total weight of A and B together becomes 82.8 kg, with an overall increase of 15%. By what per cent did the weight of B increase ?
 1) 12.5% 2) 17.5% 3) 19% 4) 21% 5) None of these
Explanation : Allegation Method:

10%  (C)                        x%  (D)

15% (M)

(D-M) = x-15                 (M-C) = 15 -10=5

So, x-15 / 5 = 4/5
or x =15+4= 19% View Answer
##### 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 View Answer
##### 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
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 View Answer
##### 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
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 View Answer
##### 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
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. View Answer
##### 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
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 View Answer
##### 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 View Answer