# Quant Quiz (DI, Mics.) 4th September 2018

Directions (1 to 5): Study the following graphs and answer the questions that follow.

Pie chart – I shows the discipline wise breakup of the number of students who appeared in the university entrance examination and pie chart II shows discipline-wise breakup of the number of students selected by the university

Total no. of students appearing = 18700

Total no. of students selected after examination = 9200

Q1. What is the difference between the number of students selected from Management discipline and the number of students selected from commerce discipline.

(a) 344

(b) 433

(c) 368

(d) 555

(e) None of these

Q2. For which discipline is the difference between the number of students selected and the number of students appearing in the examination the minimum.

(a) Commerce

(b) Agriculture

(c) Engineering

(d) Science

(e) Others

Q3. Total number of candidates appearing from Engineering and Agriculture together forms what percent of the number of candidates appearing from Commerce and Management together (approximately)

(a) 130%

(b) 113%

(c) 112%

(d) 118%

(e) 120%

Q4. Number of students who have not able to qualify from Science and others together from approximately what percent of number of students selected after examination from Commerce, Agriculture and Management discipline together.

(a) 125%

(b) 118%

(c) 129%

(d) 125%

(e) 121%

Q5. What is the ratio of number of selected students from discipline Science and Agriculture together to the students applied from Management discipline.

(a) 1932 : 935

(b) 1001 : 2001

(c) 1132 : 739

(d) Can’t be determined

(e) None of these

Q6. Instead of metre scale, cloth merchant uses a 120 cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he professes to sell at C.P. and offers a discount of 20% on cash payment, what is his overall profit percentage?

(a) 20%

(b) 25%

(c) 40%

(d) 15%

(e) None of these

Q7. A salesman sells two kinds of trousers-cotton and woolen. A pair of cotton trousers is sold at 30% profit and a pair of woollen trousers is sold at 50% profit. The salesman has calculated that if he sells 100% more woollen trousers than cotton trousers, his overall profit will be 45% However he ends up selling 50% more cotton trousers than woollen trousers. What will be his overall profit?

(a) 37.5%

(b) 40%

(c) 41%

(d) 42.33%

(e) None of these

Q8. A man jogging inside a railway tunnel at a constant speed hears a train approaching the tunnel from behind at speed of 30 Km/h, when he is one third of the way inside the tunnel. Whether he keeps running forward or turns back, he will r each the end of the tunnel at the same time the train reaches that end. The speed at which the man is running is:

(a) 6 Km/h

(b) 8 Km/h

(c) 12 Km/h

(d) 10 Km/h

(e) None of these

Q9. Half of the volume of milk and water mixture of ratio 7 : 5 is converted into a mixture of ratio 3 : 1 by the substitution (or replacement) method. The mixture of ratio 7 : 5 was formed from the mixture 7 : 3 by adding the water in it. If 240 litres milk is required in the replacement method. What is the total amount of water added to prepare the mixture in the ratio 7 : 5?

(a) 100 litres

(b) 400 litres

(c) 50 litres

(d) 200 litres

(e) None of these

Q10. Two pipes A and B can fill a tank in 6 hrs. and 9 hrs. respectively when working alone. A third pipe C can empty the same tank in 8 hrs. The pipes are operated such that A and C are open for the  first couple of hrs., then again B and C for the next 2 hrs., again A and C for the next 2 hrs., and so on. Operating in such a manner, if 68 litres of water is filled in 30 hrs., then find the volume of the tank.

(a) 144 litres

(b) 108 litres

(c) 72 litres

(d) 216 litres

(e) None of these