Question 1

What was the approximate percentage increase in the number of students of Engineering from year 2008 to 2009?

Accepted Answer

In 2008, number of students in Engineering = Total Student x 18% In 2008, the number of students in Engineering = 35000x18/100 = 6300 In 2009, number of students in Engineering = Total Student x 19% In 2009, the number of student in Engineering =40000 x19/100 = 7600 Required percentage = (number of students in Engineering in 2009 - number of students in Engineering 2008) x 100 / number of students in Engineering in 2008 Required percentage = (7600 - 3600)x 100 /6300 = 1300/63 = 20.6 ≈ 20%

Question 2

In which of the following faculties the percentage increase in the number of students was minimum from 2008 to 2009?

Accepted Answer

In 2008, number of students in Science = Total Student in 2008 x 24% In 2008, number of students in Science = 35000 x 24% = 35000 x 24/100 = 8400 In 2009, number of students in Science = Total Student in 2009 x 22% In 2009, number of students in Science = 40000 x 22% = 40000 x 22/100 = 8800 Increase in number of students of Science = 8800 - 8400 = 400 Hence, Increase percentage = 400 x 100 /8400 = 400/84 = 4.7% Similary Increase in number of students of Commerce = 24x40000/100 - 22x35000/100 = 9600 - 7700 = 1900 Hence, their increase percentage = 1900x100 /7700 = 1900/77 = 24.67% Increase in number of student of Arts = 11/100 x 40000 - 12/100 x 35000 = 4400 - 4200 = 200 Hence , their increase percentage = 200/4200 x 100 = 4.67 Increase in number of student of Medicine = 10/100 x 40000 - 11/100 x 35000 = 4000 - 3850 = 150 Hence, their increase percentage = 150/3850 x 100 = 3.89% So, in Medicine the percentage increase in the number of student was minimum from 2008 to 2009

Question 3

In the year 2008, the number of students studying Arts and Commerce together is what per cent of the number of studying these subject together in 2009?

Accepted Answer

In 2008, the number of students studying Arts and commerce together = (12 + 22)/100 x 35000 = 34 x 350 = 11900 In 2009, the number of students studying Arts and Commerce together = (11 + 24)/100 x 40000 = 35 x 400 = 14000 Hence, required percentage = 11900/14000 x 100 = 85%

Question 4

What is the ratio between the number of student studying Pharmacy in the years 2008 and 2009 respectively?

Accepted Answer

In 2008, the number of students studying Pharmacy = 35000 x 6/100 = 2100 In 2009, the number of students studying Pharmacy = 9 x 40000 /100 x = 3600 Hence, their ratio = 2100 : 3600 = 7 : 12

Question 5

In which faculty there was decrease in the number of students from 2008 to 2009?

Accepted Answer

In 2008, number of students in Arts = Total Student x 12% In 2008, number of students in Arts = 35000x12 /100 = 4200 In 2009, number of students in Arts = Total Student x 11% In 2009, number of students in Arts = 40000x11/100 = 4400 In 2008, number of students in Agriculture = Total Student x 7% In 2008, number of students in Agriculture = 35000 x 7/100 = 2450 In 2009, number of students in Agriculture = Total Student x 5% In 2009, number of students in Agriculture = 40000x5/100 = 2000 In 2008, number of students in Pharmacy = Total Student x 6% In 2008, number of students in Pharmacy = 35000 x 6/100 = 2100 In 2009, number of students in Pharmacy = Total Student x 9% In 2009, number of students in pharmacy = 9/100 x 40000 = 3600 Hence, in Agriculture there was decrease in the number of students from 2008 to 2009.

Question 6

If the total production of cars during a certain period was 42000, how many more blue cars were sold in comparison to golden cars.

Accepted Answer

Required difference = ( blue car % - golden car % )x420000/100 Required difference = (12 -10)/100 x 420000 = 2/100 x 420000 = 8400

Question 7

Which car is 40% more popular than black cars?

Accepted Answer

Let us assume the car which is 40% more popular than black is a and total number of car is P. According to question, (P x a/100 ) - (P x 5/100) = P x 5/100 x 40/100 P(a - 5)x1/100 = P x 5/100 x 40/100 (a - 5) = 5 x 40/100 (a - 5) = 200/100 = 2 a - 5 = 2 a = 2 + 5 = 7 40% more popular than Black cars = 7% popular Silver cars.

Question 8

The Cars of which colours together make them 50%?

Accepted Answer

The percentage of White, Black and Red Cars = 25 + 20 + 5 = 50%

Question 9

3% increase in the production of Cars of which colour along with red cars will make them 35% of the total cars?

Accepted Answer

If 3% increase in the production of Blue cars, then percentage of Blue cars = 12 + 3 Hence, percentage of (Blue + Red) cars = 15 + 20 = 35

Question 10

The number of students enrolled in Cooking classes is what percent of those enrolled in Dancing classes?

Accepted Answer

Required percentage = number of students enrolled in Cooking classes x 100/ number of students enrolled in Dance classes Required percentage = 22 x 100/21 = 104.76

Question 11

How many students are enrolled in painting Classes?

Accepted Answer

Number of students enrolled in Painting classes = % of students enrolled in Painting classes x 100/ Number of total students Number of students enrolled in Painting classes = 3600 x 15/10 = 540

Question 12

What is the ratio of number of students enrolled in Singing and Dancing Classes together to those enrolled in Drama Classes respectively?

Accepted Answer

Required ratio = ( % of students enrolled in Singing + % of students enrolled in Dancing classes)/% of students enrolled in Drama Classes Required ratio = (18 + 21) : 13 = 39 : 13 = 3 : 1

Question 13

What is the total number of students enrolled in Stitching and Drama Classes together?

Accepted Answer

The total number of students in Stitching and Drama Classes= ( % of students enrolled in Stitching + % of students enrolled in Drama classes) x 100/ Total number of students in all classes Required number of students = (11 + 13) x 3600 / 100 = 24 x 36 = 864

Question 14

Number of students enrolled in Painting Classes are approximately what percent of those enrolled in Singing Classes?

Accepted Answer

Required percentage = % of students enrolled in Painting classes x 100/% of students enrolled in Singing classes Required percentage = 15/18 x 100 = 83.33 = 83%

Question 15

What is the number of male candidates qualified from state 'G'?

Accepted Answer

Number of candidates appeared from State G = Total number of candidates x % of appeared students from state G. Number of candidates appeared from State G = 3,00,000 x 7/100 Number of candidates qualified from State G = Number of candidates appeared from State G x % qualified from state G Number of candidates qualified from State G = 3,00,000 x 7/100 x 48/100 Number of candidates qualified from State G = 30 x 7 x 48 = 10080 Number of male candidates qualified from State G = Number of candidates qualified from State G x Ratio of male qualified / total Ratio Number of male candidates qualified from State G = 10080 x 9 /(9 + 11) = 10080 x 9/20 = 4536

Question 16

Which of the following pair of states have equal number of qualified male candidates?

Accepted Answer

Qualified Male Candidates from different states A → 4/9 x 49/100 x 15/100 x 300000 = 9800 B → 6/10 x 61/100 x 18/100 x 300000 = 19764 C → 3/5 x 45/100 x 23/100 x 300000 = 18630 E → x 7/13 x 65/100 x 12/100 x 300000 = 12600 F → 11/19 x 57/100 x 19/100 x 300000 = 18810 G → 9/20 x 48/100 x 7/100 x 300000 = 4536 Hence, State C and G have equal number of qualified male candidates

Question 17

What is the percentage of candidates qualified from states 'A' and 'C' together of the total candidates appeared?

Accepted Answer

Number of Candidates qualified from States A and C together = 49/100 x 15/100 x 300000 + 61/100 x 18/100 x 300000 = 22050 + 32940 = 54990 Required percentage = 54990/300000 x 100 = 18.33%

Question 18

What is the total number of female candidates qualified from states 'A' and 'B' together?

Accepted Answer

Required number of female candidates = 5/9 x 49/100 x 15/100 x 300000 + 4/10 x 61/100 x 18/100 x 300000 = 12250 + 13176 = 25426

Question 19

What is the total number of candidates qualified from states 'E' and 'D' together?

Accepted Answer

Required number of candidates = 65/100 x 12/100 x 300000 + 45/100 x 23/100 x 300000 = 23400 + 31050 = 54450

Question 20

20% of the people from village D have banana as their favourite fruit and 12% of the people from the same village have guava as their favourite fruit. How many people from the village like other fruits?

Accepted Answer

Percentage of people from village D having their favourite fruit as Banana and Guava together = 20 + 12 = 32% Since, percentage of people from villege D having their other favourite fruit = 100 - 32 = 68% Hence, required number of people = 20/100 x 5800 - 1/2 x 21/100 x 5800 = 986

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