Quant Test for IBPS RRB PO Mains 2021 Exam set – 1

Study the following information and answer the given questions:

There are certain number of candidates studying in a college. In a survey it is found that 45.6% of total number of candidates like tea. 12.8% of total number of candidates like cold drink. 84.4% of total number of candidates like milk. 7% of candidates do not like any drink. 3.6% candidates like tea and cold drink. 10.2% of total candidates like cold drink and milk. 38.6% of total candidates like tea and milk. 2.6% candidates like all three drinks. Number of candidates who do not like any drinks is 35.

1. What is the number of candidates who like only milk?
   191
   180
   188
   205
   None of these
   Option A
   Number of candidates who don’t like any drink=35
   Therefore,7%=35 henece,100%=500(total candidates)

    

2. What is the number of candidates who like tea and cold drink but don’t like milk?
   8
   5
   15
   9
   11
   Option B
   

    

3. What is the number of candidates who like exactly two drinks out of the given three options?
   225
   235
   229
   223
   None of these
   Option D
   

    

4. What is the number of candidates who like at least one drink?
   450
   455
   395
   465
   None of these
   Option D
   

    

5. What is the number of candidates who like at least two drinks?
   236
   205
   215
   284
   None of these
   Option A
   

    

The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions.

6. The person finds that his son’s age after ‘x’ years will be 3/8th of his age at that time, his wife finds that ratio of age of his only son after x years to her age at that time will be 3:7. Find the average of their (all three) present age?
   a) That person is 5 years older than that of his wife.
   b) Ratio of present age of father to that of his son is 6:1.
   Statement a alone is sufficient to answer the question, but statement b alone is not sufficient to answer the questions
   Statement b alone is sufficient to answer the question, but statement a alone is not sufficient to answer the question.
   Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
   Either statement a or statement b by itself is sufficient to answer the question.
   Statements a and b taken together are not sufficient to answer the question.
   Option C
   Let person age after x years be 8p years
   Then his son’s after x years 3p years
   Wife’s age after x years=3p/3 *7=7p yeARS
   From statement A,
   8p-7p=5
   p=5
   FRom statement B,
   8p-x/3p-x = 6/1
   x=10
   Therefeore,sum of present ages of all three=60 years
   Req avg=20 years

    

7. Ratio of distance covered by boat in upstream to that in downstream is 2:3 and time taken by boat to cover that upstream distance is equal to the time taken by the boat to cover those downward distance. Find the speed of boat in still water?
   a) Difference of speed of boat in still water to that of speed of boat in upstream is 5 km/hr.
   b). Boat will cover 50 km of distance in upstream in 2.5 hours.
   Statement a alone is sufficient to answer the question, but statement b alone is not sufficient to answer the questions.
   Statements a and b taken together are not sufficient to answer the question.
   Either statement a or statement b by itself is sufficient to answer the question.
   Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
   Statement b alone is sufficient to answer the question, but statement a alone is not sufficient to answer the question.
   Option C
   

    

8. We have to choose from 6 female and 9 male for the post of HRMS and Management in-charge in which minimum 2 female has to be selected. What is the probability that both the persons selected are un-married?
   a)only 2 female are married.
   b)The number of male who were unmarried was twice of number of unmarried female.
   Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
   Statement b alone is sufficient to answer the question, but statement a alone is not sufficient to answer the question.
   Either statement a or statement b by itself is sufficient to answer the question.
   Statement a alone is sufficient to answer the question, but statement b alone is not sufficient to answer the questions.
   Statements a and b taken together are not sufficient to answer the question.
   Option A
   To calculate required probbility,we must know both the number of married ,unmarried male and female.
   Therefore,both sttements are required.
   

    

9. Three persons Akansha, Banya and Caryl together can do a work in 8 days while Akansha, Banya and Dinesh together can do that work in 15/2 days. Find in how many days Banya alone will do that work?
   a). Akansha alone takes 4 days less than that of Caryl alone to do that work and time taken by Akansha alone and Dinesh alone to do that work is equal.
   b) Ratio of efficiency of Akansha to that of Banya is 3:2 and ratio of efficiency of Caryl to that of Dinesh is 5:6.
   Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
   Statement b alone is sufficient to answer the question, but statement a alone is not sufficient to answer the question.
   Statements a and b taken together are not sufficient to answer the question.
   Statement a alone is sufficient to answer the question, but statement b alone is not sufficient to answer the questions.
   Either statement a or statement b by itself is sufficient to answer the question.
   Option E
   

    

10. At the end of a year of starting a business, Priyanka and Queen earns total profit of Rs. 60,000, calculate the profit-share of Queen?
    a)Queen invested Rs. 40000 more than Priyanka.
    b)Both of them invested for 12 months, but Priyanka also take 20% of total profit as a salary share.
    Statement a alone is sufficient to answer the question, but statement b alone is not sufficient to answer the questions.
    Statement b alone is sufficient to answer the question, but statement a alone is not sufficient to answer the question.
    Statements a and b taken together are not sufficient to answer the question.
    Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
    Either statement a or statement b by itself is sufficient to answer the question.
    Option C
    Total profit=Rs 60000
    From A,
    Let Priyank invesed Rs x,
    Then Queen invested (x+30000)
    And futher nothing can be obtained.
    From B,
    Priyanka got as salay=20/100 *60000=12000
    But again,cant be futher solved.