Advance Math Model Questions Set 2 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 2 EXERCISES
The following question based on Advance Math topic of quantitative aptitude
(a) $1/3$
(b) $1/6$
(c) $1/4$
(d) $1/5$
The correct answers to the above question in:
Answer: (c)
Total number of attempts = 20
Favourable no. of attempts = 5
Required probability (running the program correctly in the third run) = $5/{20} = 1/4$
Discuss Form
Read more model questions set 2 Based Quantitative Aptitude Questions and Answers
Question : 1
In how many ways can four children be made to stand in a line such that two of them, A and B are always together ?
a) 12
b) 18
c) 6
d) 24
Answer »Answer: (a)
Take, A and B to be always together as a single entity.
Now, total no. of children = 4 – 2 + 1 = 3
These can be arranged in 3! ways and A, B can be arranged among themselves in 2! ways.
Hence, no. of arrangements such that A and B are always together = 3! × 2! = 3 × 2 × 2 = 12
Question : 2
A committee consists of 9 experts taken from three institutions A, B and C, of which 2 are from A, 3 from B and 4 from C. If three experts resign, then the probability that they belong to different institutions is:
a) $1/{24}$
b) $1/{21}$
c) $1/{729}$
d) $2/7$
Answer »Answer: (d)
Required probability = ${^2C_1 × ^3C_1 × ^4C_1}/{^9C_3}$
= ${2 × 3 × 4}/{{9!}/{6!3!}} = 2/7$
Question : 3
The number of ways in which a mixed doubles game in tennis can be arranged from 5 married couples, if no husband and wife play in the same game, is
a) 54
b) 60
c) 46
d) None of these
Answer »Answer: (b)
Let the sides of the game be A and B. Given 5 married couples, i.e., 5 husbands and 5 wives. Now, 2 husbands for two sides A and B can be selected out of 5 = $^5C_2$ = 10 ways.
After choosing the two husbands their wives are to be excluded (since no husband and wife play in the same game). So we are to choose 2 wives out of remaining 5 – 2 = 3 wives i.e., $^3C_2$ = 3 ways.
Again two wives can interchange their sides A and B in 2! = 2 ways.
By the principle of multiplication, the required number of ways = 10 × 3 × 2 = 60
Question : 4
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
a) 10
b) 9
c) 5
d) 15
Answer »Answer: (b)
For each person to know all the secrets the communication has to be between the Englishmen (who knows say E1 French) and one Frenchmen (say F1). The other two in each case will communicate with E1 & F1 respectively. So for minimum no. of calls, E2 gives information to E1 & receives it after E1 interacts with F1. So 2 calls for each of the four E2, E3, F2 and F3, i.e., 8 calls +1 call (between E1 & F1). Hence 9 calls in all.
Question : 5
The probability that the 13th day of a randomly chosen month is a Friday, is
a) $1/7$
b) $1/{84}$
c) $1/{12}$
d) $1/{13}$
Answer »Answer: (b)
Probability of selecting a month = $1/{12}$.
$13^{th}^$ day of the month is friday if its first day is sunday and the probability of this = $1/7$.
∴ Required probability = $1/{12}.1/7 = 1/{84}$.
Question : 6
One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls. If one ball is drawn from each bag, determine the probability that one ball is white and another is black.
a) $5/24$
b) $7/24$
c) $6/24$
d) $13/24$
Answer »Answer: (d)
Probability that first ball is white and second black
= (4/6) × (5/8) = 5/12
Probability that first ball is black and second white
= (2/6) × (3/8) = 1/8
These are mutually exclusive events hence the required probability
P = $5/{12} + 1/8 = {13}/{24}$.
GET Advance Math PRACTICE TEST EXERCISES
Advance Math Model Questions Set 1
Advance Math Model Questions Set 2
Advance Math Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »