Quantitative Aptitude – Mixed Questions Set 5

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Q(1-5) Study the following Line Graph and table to answer the following questions. Line Graph percentage of Men and Women having Jobs in that year respectively.

Note: Total Population = Men + Women + Children.

1. If total number of Men and Women who are doing Job in the year 2011 is 3106 then Men population in the year 2011 is?
   A. 4300
   B. 4400
   C. 4500
   D. 4600
   E. 4700
   
   Answer & Explanation

   Answer – E. 4700
   Explanation :
   M+W = 8923-1123 = 7800
   43M+35W = 3106*100
   Then M = 4700
   
   
2. If the ratio of total number of Job holders in the year 2012 to total number of Job holders in the year 2014 is 1:1, then total population in the year 2014 is?
   A. 9001
   B. 9101
   C. 9201
   D. 9301
   E. Cannot be determined
   
   Answer & Explanation

   Answer – C. 9201
   Explanation :
   4300*47+3400*32 = X*46+3500*31
   X= 4400
   Total population = 4400+3500+1301 = 9201
   
   
3. If the number of Women Job holders in the year 2015 is 1089 and number of Children in 2015 forms 24% of the total population that year then total population in the year 2015 is?
   A. 8000
   B. 8500
   C. 9000
   D. 9500
   E. 10000
   
   Answer & Explanation

   Answer – E. 10000 
   Explanation :
   Women*33/100 = 1089
   Women = 3300
   Children/7600+Children * 100 = 24%
   C = 2400
   Total population = 7600+2400 = 10000
   
   
4. If the total population in the years 2012 is equal to total population in the year 2013,then what is the number of Children in the year 2013 if number of Women job holders are 1089 in the year 2013?
   A. 1112
   B. 1202
   C. 1212
   D. 2112
   E. None
   
   Answer & Explanation

   Answer – C. 1212
   Explanation :
   Women = 1089*100/33 = 3300
   9112 = 4600+3300+Children
   Children = 1212
   
   
5. If the ratio of total number of Men and Women in 2016 to the number of Children in 2016 is 11:2 then number of Women having Job in 2016 is?
   A. 1078
   B. 1086
   C. 1088
   D. 1089
   E. Cannot be determined
   
   Answer & Explanation

   Answer – C. 1088
   Explanation :
   9100 = X+Y
   X/Y = 11/2
   X = Men + Women = 7700
   Women = 3200
   Job holders in Women = 32*34 = 1088
   
   
6. What is the Marks secured by Satish in English?
   I. Satish wrote exams in Three subjects- Maths, Science and English. He got 72%, 88% in Maths and Science respectively. In total, he secured 84%.
   II. Maths exam is out of 50, Science exam is out of 100.
   A. The data in statement I alone are sufficient to answer the question, while data in statement II are not sufficient to answer the question
   B. The data in statement II alone are sufficient to answer the question, while data in statement I are not sufficient to answer the question
   C. The data either in Statement I alone or Statement II alone are sufficient to answer the question
   D. The data given in Both Statements I & II are not sufficient to answer the question
   E. The data given in both statements I & II together are necessary to answer the question
   
   Answer & Explanation

   Answer – D. The data given in Both Statements I & II are not sufficient to answer the question
   Explanation :
   84/100 = 36+88+x/150+E
   
   
7. What is the percentage of Illiterates in the Town?
   I. A Town having Three Localities X, Y and Z have population in the ratio of 10:11:12
   II. In locality X, 70% are literate, in locality Y, 20% are illiterate, in locality Z, 60% are literate
   A. The data in statement I alone are sufficient to answer the question, while data in statement II are not sufficient to answer the question
   B. The data in statement II alone are sufficient to answer the question, while data in statement I are not sufficient to answer the question
   C. The data either in Statement I alone or Statement II alone are sufficient to answer the question
   D. The data given in Both Statements I & II are not sufficient to answer the question
   E. The data given in both statements I & II together are necessary to answer the question
   
   Answer & Explanation

   Answer – E. The data given in both statements I & II together are necessary to answer the question
   Explanation :
   10x*30+11x*20+12x*40/33x
   
   
8. 2,14,72,252,568,?
   A. 668
   B. 922
   C. 1024
   D. 1136
   E. None
   
   Answer & Explanation

   Answer – A. 668
   Explanation :
   2*5+2² = 14
   14*4+4² = 72
   72*3+6² = 252
   252*2+8² = 568
   568*1+10² = 668
   
   
9. I. 2X – 46√2X + 528 = 0
   II. √2Y – 6√2(2√3+3)Y + 432 = 0
   A. X > Y
   B. X < Y
   C. X ≥ Y
   D. X ≤ Y
   E. X = Y or relationship cannot be established
   
   Answer & Explanation

   Answer – D. X ≤ Y
   Explanation :
   X = 24/√2, 22/√2
   Y = 24/√2, 18
   
   
10. Find the approximate value which should replace the question mark(?)
    A. 4240
    B. 4440
    C. 4580
    D. 4680
    E. None
    
    Answer & Explanation

    Answer – D. 4680
    Explanation :
    (16+20+24)*78 = 4680