Quantitative Aptitude for NIACL Assistant Prelims Exam: 1st September 2018

Directions (1-5): In each of the following questions two equations are given. Solve these equations and give answer: 
 Q1. I. x²+5x+6=0
II. y²+7y+12=0

Solution:

Q2. I. x²+20=9x
II. ²+42=13y
(a)
(b)
(c)
(d)
(e)

Solution:

Q3. I. 2x+3y=14
II. 4x+2y=16

Solution:

Q4. I. x=√625
II. y=√676

Solution:

Q5. I. x²+4x+4=0
II. y²-8y+16=0

Solution:

Directions (6-10): Given below is the pie chart which shows the percentage of students enrolled in different Hobby classes in a school in year 2016 

Q6. What is the difference between average of number of students enrolled in Dancing and stiching hobby together and average of students enrolled in Painting and cooking hobby together

Solution:

Q7. If in year 2017 total students who were enrolled in singing and painting increases by 100/3% and 20% respectively, then find the total number of enrolled students in singing and painting in 2017.

Solution:

Q8. What is the ratio of total students enrolled in Dancing and drama together to the 160% of total students enrolled in cooking and painting together.

Solution:

Q9. What is the average of number of students enrolled in Singing, Dancing and Painting together.

Solution:

Q10. If total students who are enrolled in painting and Singing together in 2017 are 100/3% more than those enrolled in these two hobby in 2016 and in 2017 total enrolled boys in these hobby are 20% more than enrolled girls in these hobby in 2017. Find number of enrolled girls in 2017

Solution:

Q11. C is 40% less efficient than A. A and B together can finish a piece of work in 10 days. B and C together can do it in 15 days. In how many days can A alone finish the same piece of work?

Solution:

Q12. In a bag there are 7 red balls and 5 green balls. Three balls are picked at random. What is the probability that two balls are red and one ball is green in colour?

Solution:

Q13. A vessel contains 180 litres of a mixture of milk and water in the ratio of 13 : 5. Fifty-four litres of this mixture was taken out and replaced with 6 litres of water. What is the approximate percentage of water in the resultant mixture?

Solution:

Q14. A sum of Rs 1750 was lent partly at 7% and partly at 11% pa simple interest. The total interest received after 4 years was Rs 706. Find the ratio of money lent at 7% to that lent at 11%.

Solution:

Q15. Kumar purchased 320 kg of rice at Rs 17.60 per kg and mixed it with 160 kg of rice purchased at Rs 16.40 per kg. He wants to earn a profit of Rs 9.45 per kg by selling it. What should be the selling price of the mixture per kg?

Solution: