Practice Marks and examinations - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) In the annual examination Mahuya got 10% less marks than Supriyo in Mathematics. Mahuya got 81 marks. The marks of Supriyo are
(a)
(b)
(c)
(d)
Let marks obtained by Supriyo = x
${9x}/10 = 81 ⇒ x = {81 × 10}/9 = 90$
Q-2) In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the the two languages, then what per cent of the group can speak both the languages ?
(a)
(b)
(c)
(d)
Let total number of students = 100
27 students speak none of the two languages.
It means only 73 students speak either Hindi or English or both.
Let x students speak both languages.
∴ 73 = 70 – x + x + 65 – x
x = 70 + 65 – 73 = 62%
Q-3) A student has to obtain 33% of total marks to pass. He got 25% of total marks and failed by 40 marks. The number of total marks is
(a)
(b)
(c)
(d)
Let the total marks be x.
According to the question,
25% of x + 40 = 33% of x
(33 – 25)% of x = 40
8% of x = 40
x = ${40 × 100}/8$ = 500
Q-4) 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one subject from Biology or Mathematics and 40 took both, then the total number of students in the class is :
(a)
(b)
(c)
(d)
Let the number of students in the class be 100.
Number of students in Biology = 72 and number of students in Maths = 44.
Number of students opting for both subjects = 72 + 44 – 100 = 16
Since, When 16 students opt for both subjects, total number of students = 100
When 40 students opt for both subjects,
total number of students = $100/16 × 40$ = 250
Q-5) A student scored 32% marks in science subjects out of 300. How much should he score in language papers out of 200 if he is to get overall 46% marks ?
(a)
(b)
(c)
(d)
46% of 500 = ${500 × 46}/100 = 230$
32% of 300 = ${300 × 32}/100 = 96$
Required marks = 230 – 96 = 134
Let x% of 200 = 134
${200 × x}/100 = 134$
2x = 134 ⇒ x = $134/2$ = 67%
Q-6) In an examination 80% of the boys passed in English and 85% passed in Mathematics, while 75% passed in both. If 45 boys failed in both, the number of boys who sat for the examination was
(a)
(b)
(c)
(d)
Successful boys in English or Maths or both
= 80 + 85 – 75 = 90%
Unsuccessful boys = 10%
Total number of boys = $100/10 × 45$ = 450
Q-7) In an examination 60% of the students pass in English, 70% pass in Hindi and 40% pass in both. What percent of students fail in both English and Hindi?
(a)
(b)
(c)
(d)
The percentage of students who pass in one or two or both subjects
= 60 + 70 – 40 = 90
Percentage of failed students = 100 – 90 = 10%
Q-8) In an examination, 65% of the students passed in Mathematics, 48% passed in Physics and 30% passed in both. How much per cent of students failed in both the subjects ?
(a)
(b)
(c)
(d)
n(M) = 65, n(P) = 48, n(M?P) = 30
n(M?P)= n(M) + n(P) – n(M?P)
= 65 + 48 – 30 = 83
Percent of students passed = 83
Percent of students failed= 17
Method 2 :
Students passed only in Math = 65 – 30 = 35%
Students passed only in Physics = 48 – 30 = 18%
Total passing % = 35 + 18 + 30 = 83%
Failed = 100 – 83 = 17%
Q-9) 25% of the candidates who appeared in an examination failed to qualify and only 450 candidates qualified. The number of candidates, who appeared in the examination, was
(a)
(b)
(c)
(d)
Clearly, 75 candidates qualify
75% of appearing candidates = 450
Number of appearing candidates
= ${450 × 100}/75 = 600$
Q-10) In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in atleast one subject, what percentage of the students fail in both the subjects ?
(a)
(b)
(c)
(d)
25% of students pass in at least one subject i.e.; they pass in one or both subjects.
% of students who don't pass or fail in both subjects
= (100 – 25)% = 75%