Quant Questions | NIACL Assistant 2017 | 27.03.2017

Directions (1-5): Study the following graphs carefully to answer the questions that follow:

The pie-chart shows the percentage of faculty members in different cities.

Total number of faculty members = 10000

The line graph shows the number of students in various departments in different cities.

Q1. The number of students studying History in Nagpur is what per cent less than the number of students studying Economics in Jodhpur?
(a) 34.28%
(b) 44.28%
(c) 54.28%
(d) 64.28%
(e) 74.28%

Q2. The number of faculty members in Noida is what per cent of the number of students in Economics in Indore?
(a) 13.33%
(b) 16.66%
(c) 17.77%
(d)18.88%
(e)19.99%

Q3. What is the ratio of the total number of students in all departments together to the number of faculty members in Patna?
(a) 18 : 5
(b) 19 : 2
(c) 20 : 1
(d) 17 : 3
(e) 16 : 7

Q4. In which city is the number of students per faculty member the maximum?
(a) Jodhpur
(b) Noida
(c) Patna
(d) Lucknow
(e) Nagpur

Q5. In which department is the number of students the minimum?
(a) Hindi
(b) History
(c) Either Hindi or Chemistry
(d) Economics
(e) Chemistry

Directions (6-7): Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer:

(a) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
(b) if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
(c) if the both statement A and B together are needed to answer the question.
(d) if either the statement A alone or B alone is sufficient to answer the question.
(e) if you cannot get the answer from the statements A and B together, but needed even more data.

Q6. The ratio between two numbers is 6: 7. Find the two numbers.

A. LCM of the two numbers is 462.

B. Difference between two numbers is a multiple of 16.

Q7. What is the total number of girls in the class?

A. The respective ratio of number of boys and girls in the class is 8: 7.

B. The average height of girls in the class is 2cm less than the average height of all the students in the class.

Q8. A boat running upstream takes 640 min to cover a certain distance, while it takes 280 min to cover the same distance running down stream. What is the ratio between the speed of the boat and speed of water current respectively?
(a) 23: 7
(b) 22: 9
(c) 23: 8
(d) 23: 9
(e) 23: 11
Q9. Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If Disha increases her average speed by 8 km/h and Himanshu increases his average speed by 4 km/h, then what will be the difference in time taken by them to reach their destination?

Q10. In a class, 8% of total students are interested in Football. Four-fifth of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class?
(a) 850
(b) 800
(c) 900
(d) 950
(e) 1000