• # question_answer Match the following. Column - I Column - II (P) If the cost of 93m of a certain kind of plastic sheet is Rs. 1395, then what would it cost (in Rs.) to buy 105 m of such plastic sheet? (1) 42 (Q) 55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days? (2) 18 (R) 18 men can reap a field in 35 days. For reaping the same field in 15 days; how many men are required? (3) 88 (S) Suneeta types 1080 words in one hour. What is her GWPM (gross words per minute)? (4) 1575 A) P Q R S 4 3 1 2 B) P Q R S 2 1 4 3 C) P Q R S 3 2 1 4 D) P Q R S 1 3 2 4

It is the case of direct variation. $\frac{1395}{93}=\frac{x}{105}\Rightarrow x=\frac{1395\times 105}{93}=1575$ So, cost of plastic sheet is Rs. 1575. (Q) Let the number of cows be x.  No. of cows 55 x No. of days 16 10
It is the case of inverse variation. $\Rightarrow 55\times 16=x\times 10$ $\Rightarrow x=\frac{55\times 16}{10}=88$ So, 88 cows will graze the field in 10 days, (R) Let the number of men be x.  No. of men 18 x No. of days 35 15
It is the case of inverse variation. $18\times 35=x\times 15$ $\Rightarrow x=\frac{18\times 35}{15}=42$ So, 42 men can reap a field in 15 days. (S) Let the number of words $=\text{ }x$  No. of words 1080 X Time (in minutes) 60 1
It is the case of direct variation. $\Rightarrow x=\frac{1080}{60}=18$ So, Sunita types 18 words per minute.