The Prime Minister’s Citizen Assistance and Relief in Emergency Situations Fund was
created on 28 March 2020, following the COVID-19 pandemic in India. The fund will be
used for combating, and containment and relief efforts against the coronavirus outbreak and
similar pandemic like situations in the future.
The allotment officer is trying to come up with a method to calculate fair division of
funds across various affected families so that the fund amount and amount received per
family can be easily adjusted based on daily revised numbers.
The total fund allotted is formulated by the officer is x3 + 6x2 + 20x + 9 .
The officer has also divided the fund equally among families of the village and each
family receives an amount of
x2 + 2x + 2. After distribution, an amount of 10 + 1
is
left. On the basis of the above information, answer any four of the following questions:
(i) How many families are there in the village?
(a)
+ 4 (b) − 3 (c) − 4 (d) + 3
(ii) If an amount of ₹1911 is left after distribution, what is value of ?
(a) 190
(b) 290
(c) 191
(d) 291
(iii) How much amount does each family receive?
(a) 24490
(b) 34860
(c) 22540
(d) 36865
(iv) What is the amount of fund allocated?
(a) Rs 72 ,72, 759
(b) Rs 75 ,72, 681 (c) Rs 69, 72 ,846
(d) Rs 82 ,74 ,888
Answers
Given : The total fund allotted is formulated by the officer is x³ + 6x² + 20x + 9
divided the fund equally among families of the village
each family receives an amount of x² + 2x + 2 and After distribution, an amount of 10x+ 1 is left
To Find : How many families are there in the village
an amount of ₹1911 is left after distribution, what is value of x
Solution :
x + 4
x² + 2x + 2 _| x³ + 6x² + 20x + 9 |_
x³ + 2x² + 2x
___________
4x² + 18x + 9
4x² + 8x + 8
________________
10x + 1
x + 4 families are there in the village
10x + 1 = 1911
=> 10x = 1910
=> x = 191
amount each family receive x² + 2x + 2
= 191² + 2(191) + 2
= 36865
amount of fund allocated = x³ + 6x² + 20x + 9
191³ + 6(191²) + 20(191)+ 9
= 71,90,586
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Answer:
i) a) x + 4
ii) c) 191
iii) d) 36865
iv) b) 71,90,586
Step-by-step explanation:
Hope it helps