In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.

Directions: Read the given information carefully and answer the following questions. Three streams Arts, Science, and Commerce are offered in 3 colleges A, B, and C. There are 1750 students in college A. The number of Commerce students in college A is 400 more than that of in Science in college A. the ratio of the number of students in college A in Arts and Science is 23 : 2) (2) There are 3250 students in Arts in all colleges. The number of students in Science in all colleges is 37.5% less than that of in Commerce in all colleges. (3) The number of Arts students in college C is 10% more than that of in college B. the ratio of the number of students in Science in college B to that of in college C is 3 : 4) (4) The number of students in Commerce in college B is 30% less than that in college A. total number of students in college B is 280 less than that of in college C. The total number of students in college B is what percent more/less than that of in Science in all colleges?

Direction: Read the following information carefully and answer the following questions. Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges. Statement II- Ratio of total number of students in college A and total number of students in college B is 6 : 5. Number of students of Mumbai who studies in college B is 30% of total number of students of college B. Statement III- Number of students of Mumbai who studies in college B is 75% of number of students of Patna who studies in college A. Statement IV- Number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. Ratio of students from Patna in college B and number of students from Mumbai who studies in college A is 9 : 10. Which city has the most number of students studying in both colleges?

Direction: Read the following information carefully and answer the following questions. Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges. Statement II- Ratio of total number of students in college A and total number of students in college B is 6 : 5. Number of students of Mumbai who studies in college B is 30% of total number of students of college B. Statement III- Number of students of Mumbai who studies in college B is 75% of number of students of Patna who studies in college A. Statement IV- Number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. Ratio of students from Patna in college B and number of students from Mumbai who studies in college A is 9 : 10. Find the ratio of number of students from Delhi in college A to that of college B.

Direction: Read the following information carefully and answer the following questions. Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges. Statement II- Ratio of total number of students in college A and total number of students in college B is 6 : 5. Number of students of Mumbai who studies in college B is 30% of total number of students of college B. Statement III- Number of students of Mumbai who studies in college B is 75% of number of students of Patna who studies in college A. Statement IV- Number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. Ratio of students from Patna in college B and number of students from Mumbai who studies in college A is 9 : 10. Find the total number of students studying in college A from Delhi and Mumbai.

Direction: Read the following information carefully and answer the following questions. Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges. Statement II- Ratio of total number of students in college A and total number of students in college B is 6 : 5. Number of students of Mumbai who studies in college B is 30% of total number of students of college B. Statement III- Number of students of Mumbai who studies in college B is 75% of number of students of Patna who studies in college A. Statement IV- Number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. Ratio of students from Patna in college B and number of students from Mumbai who studies in college A is 9 : 10. Nymber of students from Patna in college A is what % of total number of students in college B?

Direction: Read the following information carefully and answer the following questions. Statement I- There are 220 students studying in college A and college B. Students from 3 cities i.e Patna, Delhi and Mumbai study in these 2 colleges. Statement II- Ratio of total number of students in college A and total number of students in college B is 6 : 5. Number of students of Mumbai who studies in college B is 30% of total number of students of college B. Statement III- Number of students of Mumbai who studies in college B is 75% of number of students of Patna who studies in college A. Statement IV- Number of students from Delhi who studies in college B is 62.5% of the number of students from Patna who studies in college A. Ratio of students from Patna in college B and number of students from Mumbai who studies in college A is 9 : 10. Find the difference between total number of students from Patna to that of Delhi.

In an election of housing society, there are 30 voters. Each of them gives the vote. Three persons X, Y and Z are standing for the post of Secretary. If Mr X got 2/5 of the total votes and Mr Z got 1/3 of the total votes, then find the number of votes which Mr got.

A finance company has offices located in ewery division, every didtrict and every taluka in a certain state in India. Assume that there are five divisions, thirty districts and 200 talukas in the state. Each office has one head clerk, one cashier, one clerk and one peon. A divisional office has, in addition, one office superntendent, two clerks, one typist and one poen. A district office, has in addition, one clerk and one peon. The basic monthly salaries are as follows : Office superintendernt Rs 500, Head clerk Rs 200, cashier Rs 175, clerks and typist Rs 150 and peon Rs 100. Using matrix motation find the total basic monthly salary bill of each kind of office

An input-output is given in different steps. Some mathematical operations are done in each step. No mathematical operation is repeated in next step but it can be repeated with some other mathematical operation (as multiplication can be used with subtraction in step 1 and same can be used with addition in step 2) As per the rules followed in the steps given above, find out in each of the following questions the appropriate step for the givne input What is the result of multiplication of individual numbers in block obtained in last step?