Quant Questions | RBI GRADE "B" AND NICL AO 2017 | 10.06.2017

Directions (1-2): Study the following information carefully to answer the questions that follow. 

A committee of five members is to be formed, out of 4 students, 3 teachers and 2 sports coaches. In how many ways can the committee be formed if, 

Q1. The committee should consist of 2 students, 2 teachers and 1 sports coach?  

(a) 25

(b) 64

(c) 9

(d) 36

(e) None of these 

Q2. Any five people can be selected? 

(a) 126

(b) 45

(c) 120

(d) 24

(e) None of these 

Directions (3-4): Study the given information carefully and answer the questions that follow.  

A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if 

Q3. The committee should have all 4 professors and 1 research associate or all 3 trainees and 2 professors?  

(a) 12

(b) 13

(c) 24

(d) 52

(e) None of these 

Q4. The committee should have 2 trainees and 3 research associates? 

(a) 15

(b) 45

(c) 60

(d) 9

(e) None of these 

Q5. A property tax increase was proposed by a municipal corporation and it was observed that 40% of the property owners favoured it while 80% of the non-owners of property favoured it. If 70% of voters are property owners, what is the probability that a voter selected at random would be the one favouring the tax increase? 

(a) 0.80 

(b) 0.52

(c) 0.40

(d) Data inadequate 

(e) None of these 

Q6. In how many different ways can be numbers ‘256974’ be arranged, using each digit only once in each arrangement, such that the digits 6 and 5 are at the extreme ends in each arrangement? 

(a) 48

(b) 720

(c) 36

(d) 360

(e) None of these 

Q7. On a shelf, there are 4 books on Economics, 3 books on Management and 4 books are Statistics. In how many different ways, can the books be arranged so that the books on Economics are kept together? 

(a) 967680

(b) 120960

(c) 5040

(d) 40320

(e) None of these 

Directions (8-10): Study the given information carefully to answer the questions that follow. 

 A committee of 6 teachers is to be formed out of 4 science teachers, 5 Arts teacher and 3 Commerce teacher. In how many different ways, can the committee be formed, if 

Q8. Two teachers from each stream are to be included? 

(a) 210

(b) 180

(c) 145

(d) 96

(e) None of these 

Q9.  No teacher from the Commerce stream is to be included? 

(a) 81 

(b) 62

(c) 46

(d) 84

(e) None of these 

 

Q10. Any teacher can be included in the committee?  

(a) 626

(b) 718

(c) 924

(d) 844

(e) None of these