Maths Quiz

1. In an election between 2 candidates, Bhiku gets 65% of the total valid votes. If the total votes were 6000, what is the number of valid votes that the other candidate Mhatre gets if 25% of the total votes were declared invalid?

(a) 1625

(b) 1575

(c) 1675

(d) 1525

(e) None of these

Explanation 
1.(b)Total valid votes=6000-6000X(25/100)

=6000-1500

=4500

Votes obtained by Bhiku=65% of 4500

=(13/20)X4500=2925

Votes obtained by Mhatra=4500-2925=1575

2. The population of the village of Gavas is 10,000 at this moment. It increases by 10% in the first year. However, in the second year, due to immigration, the population drops by 5%. Find the population at the end of the third year if in the third year the population increases by 20%.

(a) 12,340

(b) 12,540

(c) 1,27,540

(d) 12,340

 (e) 13,240

Explanation 

2.(b)After 1st year, Population=10000+1000X10%=11000

After 2nd year population=11000-11000X5%=10450

After 3rd year population=10450+10450X20%=12540

3. In a class, 25% of the students were absent for an exam. 30% failed by 20 marks and 10% just passed because of grace marks of 5. Find the average score of the class if the remaining students scored an average of 60 marks and the pass marks are 33 (counting the final scores of the candidates.)

(a) 37.266

(b) 37.6

(c) 37.8

(d) 36.93

(e) 37.5 

Explanation 

3.(c)Suppose total candidates=200

Total appeared Candidates=200-25% of 200=150

30% of 200=60 students failed 

Obtained marks by failed students=60X13=780

10% of 200=20 students passed

Obtained marks by passed students=20X33=660

35% of student=70, Score=70X60=4200

Average of Class=(Total Score)/(Total appeared Candidates)=(780+660+4200)/150=37.6

4. On a shelf, the first row contains 25% more books than the second row and the third row contains 25% less books  than the second row. If the total number of books contained in all the rows is 600, then find the number of books in the first row.

(a) 250

(b) 225

(c) 300

(d) 180

(e) None of these

Explanation 

4.(a)Suppose there are 100x books on 2nd row.

Then, 1st row=125x

2nd row=100x

3rd Row=75 x

Total 125x+100x+75x=300x=600

x=2

So, on 1st row =125X2=250 books.

5. Last year, the Indian cricket team played 40 one-day cricket matches out of which they managed to win only 40%. This year, so far it has played some matches, which has made it mandatory for it to win 80% of the remaining matches to maintain its existing winning percentage. Find the number of matches played by India so far this year?

(a) 30

(b) 25

(c) 28

(d) Insufficient Information

(e) None of these

Explanation 

5.(d)Insufficient information, Because we can’t assume last year data to calculate current year%

6. In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present inside the building premises, 20% of the men, 40% of the women and 10% of the children were Indians. Find the percentage of people who were not Indian?

(a) 73% 

(b) 77%

(c) 79%

(d) 83%

(e) None of these

Explanation 

6. (c)Percentage of people who were not Indian=[((700+500+800)-(700X20%+500X40%+800X10%))/2000)]X100

=79%

7. Out of the total production of iron from hematite, an ore of iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is

(a) 5,00,000 kg

(b) 4,00,000 kg

(c) 4,50,000 kg
(d) can't be determine 

(e) None of these

Explanation 
7.(b) Let total are be 100%

After 20% wastage, 80% remains 

And, of remaining 80%, 25% are pure iron I.e. 20%

So, 20%=80,000 kg

1%=4000 kg

100%=4,00,000 kg

8. 4/5 of the voters in Bellary promised to vote for Sonia Gandhi and the rest promised to vote for Sushma Swaraj. Of these voters, 10% of the voters who had promised to vote for Sonia Gandhi, did not vote on the election day, while 20% of the voters who had promised to vote for Sucshma Swaraj did not vote on the election day. What is the total no. of votes polled if Sonia Gandhi got 216 votes?

(a) 200 

(b) 300

(c)  264

(d) 100

(e) None of these
Explanation 

8.(c)  4/5 is actually nothing but 80% [therefore 80/100=4/5]

80% promised to vote for Sonia, but actually voted=72% 

20% promised to vote for Sushma, but actually voted=16%\

Because, 72%=216

1%=3

Therefore, [Totat polling=72+16=88%=88X3=264

9. The entrance ticket at the Minerva theatre in Mumbai is worth Rs. 250. When the price of the ticket was lowered, the sale of tickets increased by 50% while the collections recorded a decrease of 17.5%. Find the deduction in the ticket price.

(a) Rs. 150

(b) Rs. 112.5

(c) Rs. 105

(d) Rs. 120

(e) None of these

Explanation 

9.(b) 100(50% increase sales increase)  =150 = (? % of price drop) = 82.5 [Final sales]

Required price Drop=(67.5/150)X100=45%

45% of 250=(9/20)X250=112.5

10. In the year 2000, the luxury car industry had two car manufacturers—Maruti and Honda with market shares of 25% and 75% respectively. In 2001, the overall market for the product increased by 50% and a new player BMW also entered the market and captured 15% of the market share. If we know that the market share of Maruti increased to 50% in the second year, the share of Honda in that year was:

(a) 50%

(b) 45%

(c) 40%

(d) 35%

(e) None of these

Explanation 

10.(d) Share of Honda=[100-(15+50)]% =35%