Quantitative Aptitude – Mixed Questions Set 11

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Q(1-5).Study the following Bar chart and answer the following questions.

Note: Total Population = Men Population +Women Population

1. In Village A in the year 2009 if 80% of Men Voted, Women population is 1400 if the number of voters voted is 2625. Then the number of Women voted is?
   1. 945
   2. 1005
   3. 1115
   4. 1125
   5. None
   
   Answer & Explanation

   Answer – 1. 945
   Explanation :
   Voted votes = 2625
   Total population = 3500
   3500 = M+W
   M = 2100
   80% voted = 2100*80/100 = 1680
   1680+women voted = 2625
   Women = 945
   
   
2. In Village D the population in 2009 to 2014 increased by 600, but the number of voters voted is same in those years. If Men population in both the year is equal and is 2800.And 80% of Women voted in the year 2009 and 70% women voted in the year 2015 then ratio of number of Men voted in the year 2009 to Men voted in the year 2014?
   1. 7:8
   2. 8:7
   3. 7:9
   4. 9:8
   5. None
   
   Answer & Explanation

   Answer – 2. 8:7
   Explanation :
   x *80/100 = (x+600)*70/100
   x = 4200
   Population in 2009 = 4200 and 2014 =4800
   In 2009 4200 = M+W; in 2014 4800= M+W
   In 2009 4200 = 2800+W; in 2014 4800= 2800+W
   In 2009 W = 1400; in 2014 W = 2000
   In 2009 Women voted = 1120
   In 2014 Women voted = 1400
   In 2009 Men Voted = 2240
   In 2009 Men Voted = 1960
   Ratio = 8:7
   
   
3. In Village B total population in the years 2009 and 2014 are 4200 and 4600 respectively. If the sum of Men voters in 2009 and 2014 together is 4140 and if Men are 55% of the total population in 2014 and 70% Women in 2014 voted then the number of Men voted in the year 2009 is?
   1. 1500
   2. 1679
   3. 1771
   4. 2121
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 2. 1679
   Explanation :Total population in 2009: 4200 = Men+ women
   Voters = 4200*65/100 = 2730
   Men Voted + Women voted = 2730
   Total population in 2014: 4600 = Men+ women
   Voters = 4600*85/100 = 3910
   Men Voted + Women voted = 3910
   Men Voted in (2009+2014) =4140
   Women Voted in (2009+2014) =6640-4140 =2500
   In 2015: Women population=4600*45/100 =2070
   Women voted in 2015 = 2070*70/100 =1449
   Women Voted in 2009 = 2500-1449 = 1051
   Men Voted in 2009= 2730-1051 = 1679
   
   
4. In Village C Men Population in the year is 2009 is 2000.If 20% of Men didn’t vote. Number of Women voted is 1060. The number of women in the year 2009 in that village is?
   1. 1800
   2. 1600
   3. 1500
   4. 1400
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 1. 1800
   Explanation :
   Men =2000
   Voted = 1600
   Men voted +Women Voted = 1600+1060 = 2660
   Total population = 2660*100/70 = 3800
   Women = 3800-2000 =1800
   
   
5. In Village C total population in the years 2009 and 2014 are 3800 and 4200 respectively. Number of Women voters in the year 2009 and in the year 2014 is equal and Men are 55% of the total population in 2014 and 70% Women in 2014 voted then the number of Men voted in the year 2009 is?
   1. 1323
   2. 1327
   3. 1337
   4. 2037
   5. Cannot be determined
   
   Answer & Explanation

   Answer – 3. 1337
   Explanation :
   In 2009:
   Men+ women = 3800
   Voters = 2660 = Men Voted+ Women Voted
   In 2014:
   Men+ women = 4200 Women = 45% of 4200 = 1890
   Voters = 3360 = Men Voted+ Women Voted
   Women Voted = 1890*70/100 = 1323
   Then Men Voted in 2009 = 2660-1323 = 1337
   
   
   
6. In this, a question is followed by three statements I, II and III. Identify which of the statements would be necessary to answer the following questions.
   Find how many days does A alone can complete the work?
   Statement I: If A and B together can complete work in 8 days.
   Statement II: If A and B started the worked together after 5 days A left, rest of the work is completed by B alone
   Statement III: A is twice efficient as B.
   1. Only I & II
   2. Only II & III
   3. Only I & III
   4. I & Either II or III
   5. None is sufficient
   
   Answer & Explanation

   Answer – 3. Only I & III
   
   
7. How many girls failed in the school?
   Statement I: Number of students in the school is 1000.
   Statement II: Number of boys passed is 450.
   Statement III: Number of girls passed is 300.
   1. Only I & II
   2. Only II & III
   3. Only I & III
   4. I & Either II or III
   5. None is sufficient
   
   Answer & Explanation

   Answer – 5. None is sufficient
   Explanation:
   From the above data, solution cannot be determined
   
   
8. 25, 26,?,69, 85, 90
   1. 34
   2. 38
   3. 42
   4. 44
   5. None
   
   Answer & Explanation

   Answer – 3. 42
   Explanation:
   25+1⁵ = 26
   26+2⁴ = 42
   42+3³ = 69
   69+4² = 85
   85+5¹ = 90
   
   
9. In the following question, two equations numbered I & II are given. You have to solve both equations and mark one of the options given below.
   I.X² +6(1+2√2) X+ 72√2 = 0
   II.Y² +√2 (3√2+4) Y+ 24√2 =0
   1. X > Y
   2. X <Y
   3. X ≥ Y
   4. X ≤ Y
   5. X = Y or relationship cannot be established
   
   Answer & Explanation

   Answer – 4. X ≤ Y
   X = -6,- 12√2
   Y = -6, -4√2
   
   
10. 7084 ÷ 23 ÷ 7 x 59 + 23 x 14 – 17x 27 = 46² +?
    1. 276
    2. 306
    3. 343
    4. 321
    5. 327
    
    Answer & Explanation

    Answer – 3. 343
    2596 + 322 – 459 = 2116 + ?
    ? = 343