Quantitative aptitude Question for all banking Bank PO,Clerk,IBPS PO,Railway,SSC,PSUs,IAS,OAS ,C-SAT Exams 

Mathmetics

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

Q31.
In an examination, 34% of the students failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then find the percentage of students who passed in both the subjects.
1) 36% 2) 40%
3) 44% 4) 45%
5)None of these
Answer : 44%
Explanation :
Students failed in mathematics, n(A) = 34
Students failed in English, n(B) = 42
n(A∪B)= n(A)+n(B)−n(A∩B) = 34+42−20=56
Failed in either or both subjects are 56
So % passed = (100−56)% = 44%
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Q32.
There are 728 students in a school, 162 come to the school by bus, 384 on bicycles and the rest by walk. What percentage of students comes to the school by walk ?
1) 35% 2) 25%
3) 40% 4) 33%
5)None of these
Answer : 25%
Explanation :
Total number of students in the school = 728
Number of students who come by bus = 162
Number of students who come on bicycle = 384
Adding these two, we get 546.
728 – 546 = 182 students come by walk.
So, % of students who come by walk to the school = (182/728)x 100 = 25%


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Q33.
35% of a number is 175. What % of 175 is the number ?
1) 285.71% 2) 283.71%
3) 289.91% 4) 285.71%
5)None of these
Answer : 285.71%
Explanation : Let ‘x’ be the number 
(35/100)x = 175
or  x= (175 x 100)/35
So,required percentage = (500/75)/100 =  285.71%


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Q34.
A candidate scoring 25% in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than the minimum required for a pass. Find the full mark in the examination ?
1) 200 2) 240
3) 240 4) 500
5)None of these
Answer : 200
Explanation :
Let, the full mark be x.
The first candidate's pass mark = (25/100)x +30
The second candidate's pass mark = ( 50/100 )x-20
So,  (25/100)x +30 = ( 50/100 )x-20
       Or x= 200
Shortcut  Method :
             Full-Mark = (Diff. in marks / diff.in %) x 100
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Q35.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
1) 2500 2) 2600
3) 2700 4) 3000
5)None of these
Answer : 2700
Explanation :

Number of valid votes = 80% of 7500 = 6000.

So, Valid votes polled by other candidate = 45% of 6000

= (45/100 x 6000 = 2700.

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