Quantitative Aptitude For NIACL AO Prelims: 21st January 2019

Dear Aspirants,

Directions (1- 5): The following bar- graph shows the total number of students in five different coaching institutes 


Table shows the ratio of boys to girls in each institute.
Study the graph carefully to answer the following questions.

Q1. Girls in institute A and C together is what percent of the boys in institute B and D together?

Solution:

Q2. Boys in institute E and A together are how much more or less than the total girls in institute D and C together?

Solution:

Q3. If one third of the boys in institute C leaves and joins institute D. Then find the ratio of remaining students in institute C to total students in institute D?

Solution:

Q4. If in another institute Z total boys is 20% more than number of boys in the institute A and total students in institute Z to institute C is in ratio of 7:8. Then girls in institute Z are what percent of the total students in same institute?

 

 

 

 

 

Solution:

Q5. What is the average number of girls in institute B , C and D?

Solution:

Q6. How many 5-digit numbers can be formed which contain only one times the digit ‘3’.

Solution:

If first digit is ‘3’ then remaining numbers can be formed in ways = 6561 ways
If first digit isn’t ‘3’ then first digit can be formed in 8 ways (excluding 3 and 0). Now out of remaining four one should be ‘3’ and remaining three digits can be formed in 9³ ways = 729 ways
So, total ways to form five digit number in which first digit isn’t ‘3’
= 4 × 8 × 729 = 23,328
‘4’ is multiplied because the digit ‘3’ can take four places.
And, Total ways to form five digit numbers in which first digit is ‘3’
= 6561 ways
Total number of ways = 23,328 + 6561 = 29,889

Q7. Two cards are drawn from a well shuffled pack of cards. If both card are spade, then a dice is thrown and if 2 diamond cards are drawn, then a coin is tossed. Otherwise operation is stopped. In how many ways we can get a tail.

Solution:

Q8. How many 3 digit number can be formed by 0, 3, 2, 5, 7, 4, 9. Which is divisible by 5 and none of digit is repeated?

Q9. There are 12 points in a plane out of which 8 are collinear. Find the number of triangles formed from the points?

Solution:

Q10. Find total no. of arrangements which can be formed using letters of word ‘MARVELOUS’ so that no vowels come together?

Solution:

Directions (11-15): What will come at the place of question mark in the following questions? (You are not expected to find exact value) 


Q11. 34.998% of 3499.999 + 24.92% of 2600.01 – 1259.98 = ?

Solution:

Q12. 2395.99 + 259.99 × 4.98 – 449.988 – ? = 589.98

Q13. 54.95% of 1999.99 + ?% of 5000.001 = 1824.999

Solution:

Q14. (14.9 × 19.9) + (4.989)² × 13.010 = (?)²

Q15. 2524.001 ÷ √15.9 – 331.01 = (4.998)² × ?

Solution: