New Pattern Based Web Chart Data Interpretation for SBI PO, IBPS PO, IBPS RRB Scale 1, IBPS Clerk, SBI Clerk with PDF at Smartkeeda

Directions : Study the following web chart carefully and answer the questions given beside.

A private tutor has question banks of five subjects (English, Maths, Reasoning, General Awareness, and Computer). The questions are divided into three categories depending on their difficulty level.

1
The tutor has to make a paper of 60 questions. In how many ways he can choose the questions if 5% questions of the paper are from GA, 45% questions from Maths and at least 28 questions are from reasoning.
» Explain it
C
Question bank of English contains (5 + 25 + 10) 40 questions 
 
Question bank of Maths contains (7 + 15 + 8) 30 questions 
 
Question bank of GA contains (5 + 6 + 14) 25 questions 
 
Question bank of Computer contains (7 + 6 + 12) 25 questions 
 
Question bank of Reasoning contains (9 + 12 + 9) 30 questions 
 
A paper of 60 questions are to be made that it has 5% questions from GA, 45% of questions from Maths and at least 28 questions from reasoning. 
 
∴ Questions of GA in the paper = 5% of 60 = 3 and Questions of Maths in the paper = 45% of 60 = 27 
 
The different ways that we can choose questions to form such paper are: 
 
i. 3GA × 27Maths × 28reasoning × 2(Computer +English) = 25C3 × 30C27 × 30C28  × 65C2 
 
⇒ 3GA × 27Maths × 28reasoning × 2(Computer +English) = 2300 × 4060 × 435 × 2080 
 
ii. 3GA × 27Maths × 29reasoning × 1(Computer +English) = 25C3 × 30C27 × 30C29 × 65C
 
⇒ 3GA × 27Maths × 28reasoning × 1(Computer +English) = 2300 × 4060 × 30 × 65 
 
iii. 3GA × 27Maths × 30reasoning = 25C3 × 30C27 × 30C30 
 
⇒ 3GA × 27Maths × 30reasoning = 2300 × 4060 × 1 
 
∴ Total number of ways in which a paper of 60 questions can be made so that it has 3 GA questions, 27 Maths questions and at least 28 reasoning questions = (2300 × 4060 × 435 × 2080) + (2300 × 4060 × 30 × 65) + (2300 × 4060 × 1) 
 
⇒ Required ways = 2300 × 4060 (435 × 2080 + 30 × 65 + 1) 
 
⇒ Required ways = 2300 × 4060 (904800 + 1950 + 1) 
 
⇒ Required ways = 2300 × 4060 × 906751 
 
Hence, the total number of ways in which a paper of 60 questions can be made so that it has 3 GA questions, 27 Maths questions and at least 28 reasoning questions is 2300 × 4060 × 906751

Hence, option C is correct.
2
A Maths test is to be made using all of the easy and hard level questions only from its question bank. In how many ways the test can be made if no two easy questions are set next to each other?
» Explain it
B
Question bank of Maths contains 30 questions. 
 
Out of 30 questions, 7 are easy, 15 are moderate and 8 are hard. 
 
8 hard level questions can be set in 8! Ways 
 
In 8 places of hard questions, there are 9 places in which 7 easy questions are to be set, so that no two easy questions are set to each other 
 
_H1_H2_H3_H4_H5_H6_H7_H8_
 
⇒ Easy questions can be set in 9P7 ways 
 
⇒ Easy questions can be set in  9!  ways
(9 – 7)!

∴ Number of ways in which the test can be made if no two easy questions are set next to each other = 8! × 9!/2! = 20160 × 9! 
 
Hence, 20160 × 9! Ways in which the test can be made if no two easy questions are set next to each other

Hence, option B is correct.
3
A student has to answer 18 questions of reasoning from its question bank, choosing at least 10 from moderate level questions, at least 5 from hard level questions and 1 from easy level, in how many ways can the student answer 18 questions.
» Explain it
A
Question bank of reasoning contains 30 questions. 
 
Out of 30 questions, 9 are of easy level, 12 are of moderate level and 9 are of hard level questions. 
 
The student has to answer 18 questions. 
 
According to the given information: 
 
Numbers of possibilities are: 
 
i. 12 from moderate level, 5 from hard level and 1 from easy level = 12C12 × 9C5 × 9C1 
 
ii. 10 from moderate level, 7 from hard level and 1 from easy level = 12C10 × 9C7 × 9C
 
iii. 11 from moderate level, 6 from hard level and 1 from easy level = 12C11 × 9C6 × 9C1 
 
∴ Required number of ways = (12C12 × 9C5 × 9C1) + (12C10 × 9C7 × 9C1) + (12C11 × 9C6 × 9C1
 
⇒ Required number of ways = (1 × 126 × 9) + (66 × 36 × 9) + (12 × 84 × 9) 
 
⇒ Required number of ways = (1134) + (21384) + (9072) 
 
⇒ Required number of ways = 31590 
 
Hence, in 31590 ways a student can answer 18 questions of reasoning from its question bank, choosing at least 10 from moderate level questions, at least 5 from hard level questions and 1 from easy level.

Hence, option A is correct.
4
Find the number of ways in which the tutor can choose questions for an English test of 28 questions which contain 3 easy questions, 23 moderate questions and at most 4 hard questions from its question bank?
» Explain it
D
Question bank of English contains 40 questions. 
 
Out of 40 questions, 5 are of the easy level, 25 are of moderate level and 10 are of hard level questions. 
 
The tutor has to choose questions for an English test of 28 questions which contain 3 easy questions, 23 moderate questions and at most 4 hard questions 
 
The test can be prepared in following way: 
 
3 easy question, 23 moderate questions, 2 hard question = 5C3 × 25C23 × 10C2 
 
⇒ Number of ways in which the test can be prepared = 10 × 300 × 45 
 
⇒ Number of ways in which the test can be prepared = 135000 
 
Hence, in 135000 ways a tutor can choose questions for an English test of 28 questions which contain 3 easy questions, 23
moderate questions and at most 4 hard questions.

Hence, option D is correct.
5
If an entire test paper is created from only easy level questions of the question bank then in how many different ways can the questions be arranged such that all the questions from Maths and reasoning are set together?
» Explain it
E
Question bank contains 5 easy level English questions, 7 easy level Maths questions, 9 easy level Reasoning questions, 5 easy level G.A questions and 7 easy level computer questions 
 
⇒ There are a total of 33 easy level questions. 
 
But all Maths and Reasoning questions are set next to each other 
 
⇒ 16 questions are grouped and can be considered as 1 question 
 
∴ We can assume a total of (33 – 16 + 1) 18 questions which need to be arranged. 
 
⇒ 18 questions can be arranged in 18! Ways 
 
Now, the number of ways in which Maths and reasoning question can be arranged = 16! 
 
∴ Required number of ways = 18! 16! 
 
Hence, in 18! 16! Ways questions can be arranged if Maths and reasoning questions are always set next to each other.

Hence, option E is correct.

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Welcome to the www.smartkeeda.com, In this article we are going to practice different type of Miscellaneous Arithmetic Questions with Solution for SBI PO Pre 2019, These questions also important for other Bank exams like SBI PO, IBPS PO, IBPS Clerk, SBI Clerk, NIACL, NABARD, LIC etc.

Its a very important topic for SBI PO Aspirants to practice. Miscellaneous Arithmetic  Questions are generally called Word problems which belongs Average, Percentage, Ratio and Proportion,  Profit and Loss, Compound Interest, Simple Interest etc.
This Article will you to understand what type question is being asked in the form miscellaneous in SBI PO Pre, SBI Clerk 2019 Exams. You will also get here Miscellanenous Quesiton for All Bank PO Exams 2019.
 
You can practice here Miscellaneous questions for SBI PO. You can download miscellaneous questions and answers pdf for free here.
 
Here are the various links that refers to miscellaneous quiz for SBI PO Pre, In this link we will discuss word problems chapter individually one by one.

Average Question and answers for SBI PO Pre IBPS PO Pre 2019

Average Questions for SBI PO Pre Click Here

Profit and Loss Questions for SBI PO Pre IBPS PO Pre 2019

Profit and Loss Quiz Click Here..

Time and Work Questions and Answer for SBI PO Pre and IBPS PO Pre 2019

Time and Work Quiz Click Here

Probability Questions and Answer for SBI PO Pre 2019

Probability Quiz Click Here…

Time and Distance Questions and Answer for IBPS PO Pre and SBI PO Pre 2019

Time and Distance Quiz Click Here

Compound Interest Questions and Answer for IBPS PO Pre and SBI PO Pre 2019

CI Quiz for SBI PO Pre Click Here…

Percentage Questions and Answer for IBPS PO Pre and SBI PO Pre 2019

Percentage Quiz Click Here…

Ration and Proportion Questions and Answer for SBI PO Pre 2019

Ratio and Proportion Quiz Click Here…

Permutation and Combination Questions and Answer for SBI PO Pre 2019

P and C Quiz Click Here…

There are many other chapters like Boats and stream, Partnership, Mixture and Alligation, Simple Interest, Problems on Trains etc. These kind of questions has been seen in SBI PO Exams. We would like to recommend you to practice miscellaneous question for sbi po pre and ibps po at Smartkeeda with detailed solution at Free cost. You can download miscellaneous questions pdf with explanation for ibps po 2019.
 
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We hope this article would have resolved your queries regarding maths questions for bank po 2019 exams.

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Team Smartkeeda