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# IBPS PO 2017 Quantitative aptitude Practice Quiz 31

IBPS EXAM Guru

1 . Directions (Q. 1-5): From a class total 360 students appeared in an exam. Three fourth of these are boys. 40 % boys failed in the exam, two third of the girls are failed in the exam and remaining passed :

What is the ratio of the total number of girls to the number of boys who failed in the exam ?

 A.   4:9 B.   9:5 C.   5:6 D.   none of these
2 . What is the sum of the number of boys who failed and number of girls who passed in the exam ?

 A.   148 B.   158 C.   128 D.   138
3 . What is the difference between the number of boys who are passed and number of girls who are failed ?

 A.   102 B.   202 C.   52 D.   none of these
4 . What is the ratio of the total number of boys and girls who are passed to the number of boys and girls who are failed ?

 A.   7:8 B.   8:7 C.   9:17 D.   none of these
5 . Total number of boys passed is approximately what percent of total number of girls in the class ?

 A.   60% B.   120% C.   150% D.   180%
6 . Direction (Q. 6-10): A bag contains 4 red, 5 brown and 6 white balls. Three balls are drawn randomly :

What is the probability that balls drawn contains exactly two red balls ?

 A.   $54\over145$ B.   $66\over455$ C.   $46\over105$ D.   None of these
7 . What is the probability that the balls drawn contains no brown ball ?

 A.   $11\over65$ B.   $31\over91$ C.   $24\over91$ D.   none of these
8 . What is the probability that the balls drawn are not of the same colour ?

 A.   $34\over455$ B.   $31\over105$ C.   $74\over105$ D.   $421\over455$
9 . If two balls are drawn randomly then what is the probability that both the balls are of same colour ?

 A.   $31\over105$ B.   $74\over105$ C.   $34\over455$ D.   none of these
10 . What is the probability that the three balls drawn are of different colour ?

 A.   $21\over91$ B.   $31\over105$ C.   $24\over105$ D.   $24\over91$
1 .
 Answer : Option C Explanation :
2 .
 Answer : Option D Explanation : Sum = 108 + 30 = 138
3 .
 Answer : Option A Explanation : Diff = 162 – 60 = 102
4 .
 Answer : Option B Explanation : ratio =$192\over168$=$8\over7$
5 .
 Answer : Option D Explanation : req%=$162\over90$x100=180%
6 .
 Answer : Option B Explanation :
7 .
 Answer : Option C Explanation :
8 .
 Answer : Option D Explanation :
9 .
 Answer : Option A Explanation : n(s)=${^15C_2}$=105n(E)=${^4C_2}$+${^5C_2}$+${^6C_2}$=6+10+15=31p(E)=$31\over105 10 .  Answer : Option D Explanation : n(S)=${^15C_3}$=455n(E)=${^4C_1}$+${^5C_1}$+${^6C_1}$=5x6x=23.P(E)=$120\over455$=$24\over91\$