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Question 1 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
1. Among the students that originally had Pen, at least how many students must now have Scale?Explanation:
Directions (1 – 5):
Answer: d)
From the above table, out of the students that originally had Pen, the number of students now having Scale is โ12 โ xโ. Maximum possible value of x is 11.
Therefore minimum possible value of 12 โ x
= 12 โ 11= 1
Explanation:
Directions (1 – 5):
Answer: d)
From the above table, out of the students that originally had Pen, the number of students now having Scale is โ12 โ xโ. Maximum possible value of x is 11.
Therefore minimum possible value of 12 โ x
= 12 โ 11= 1

Question 2 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
2. If out of the students that originally had Pen, the number of students now having Scale is 8, then find out of the students that now have Eraser?Explanation:
Answer: c)
From the above table, out of the students that originally had Pen, the number of students now having Scale is 8 = (12x)
8 = 12 โx
= > x = 4
Out of the students that originally had Pen, the number of students now having Eraser is 4.
Explanation:
Answer: c)
From the above table, out of the students that originally had Pen, the number of students now having Scale is 8 = (12x)
8 = 12 โx
= > x = 4
Out of the students that originally had Pen, the number of students now having Eraser is 4.

Question 3 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
3. If among the students that originally had Note, the number of students now having Eraser is 1 more than the number of students now having Scale, then find the difference between the number of the students that now have Sharpener and ScaleExplanation:
Answer: b)
Among the students that originally had Note, the number of students now having Scale is a
Among the students that originally had Note, the number of students now having Eraser is b
From the above table, among the students that originally had Note, the total number of students now having Eraser and Scale is
(68 – 35) = 33 = (a + b) — (1)
= > (b – a) = 1 — (2)
Solve the above equation (1) and (2), we get
= > a = 34/2 = 17
= > b = 16
Required difference = 20 โ 17 = 3
Explanation:
Answer: b)
Among the students that originally had Note, the number of students now having Scale is a
Among the students that originally had Note, the number of students now having Eraser is b
From the above table, among the students that originally had Note, the total number of students now having Eraser and Scale is
(68 – 35) = 33 = (a + b) — (1)
= > (b – a) = 1 — (2)
Solve the above equation (1) and (2), we get
= > a = 34/2 = 17
= > b = 16
Required difference = 20 โ 17 = 3

Question 4 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
4. If among the students that originally had Sharpener, the number of students now having Eraser is twice the number of students now having Pen, then find out among the students that now have Scale which is one student more than the number of students that now have Pen?Explanation:
Answer: a)
Among the students that originally had Sharpener, the number of students now having Eraser is 18
Among the students that originally had Sharpener, the number of students now having Pen be (18/2) = 9
Among the students that originally had Sharpener, the number of students now having Scale = 9 + 1 = 10
Explanation:
Answer: a)
Among the students that originally had Sharpener, the number of students now having Eraser is 18
Among the students that originally had Sharpener, the number of students now having Pen be (18/2) = 9
Among the students that originally had Sharpener, the number of students now having Scale = 9 + 1 = 10

Question 5 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
5. If among the students that originally had Pencil, the number of students now having Note is same as the number of students now having Scale, then find among the students that originally had Sharpener, the number of students now having penExplanation:
Answer: b)
From the above table,
Among the students that originally had Pencil, the number of students now having Note = among the students that originally had Pencil, the number of students now having Scale = 7
Among the students that originally had Pencil, the number of students now having Pen = 38 โ (3+7+9+7) = 38 โ 26 = 12 = z
Among the students that originally had Sharpener, the number of students now having pen = (21 – z)
= 21 โ 12 = 9
Explanation:
Answer: b)
From the above table,
Among the students that originally had Pencil, the number of students now having Note = among the students that originally had Pencil, the number of students now having Scale = 7
Among the students that originally had Pencil, the number of students now having Pen = 38 โ (3+7+9+7) = 38 โ 26 = 12 = z
Among the students that originally had Sharpener, the number of students now having pen = (21 – z)
= 21 โ 12 = 9

Question 6 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.6. If Shivaniโs investment in 2004 is Rs 8000 less than that of Shivaโs investment in the same year and Shanmuโs profit in 2004 is Rs 15500 then find for how many months did Shanmu invest his money in the year 2004.Explanation:
Answer: b)
Shivaniโs investment in 2004=340008000= Rs 26000
Since Shanmuโs profit is Rs 15500, then total profit of Shiva and Shivani together =4810015500=Rs 32600
Then 15500/32600= (31000*R)/(34000*10+26000*12)
155/326=31*R/652
R=10 months.
Explanation:
Answer: b)
Shivaniโs investment in 2004=340008000= Rs 26000
Since Shanmuโs profit is Rs 15500, then total profit of Shiva and Shivani together =4810015500=Rs 32600
Then 15500/32600= (31000*R)/(34000*10+26000*12)
155/326=31*R/652
R=10 months.

Question 7 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.7. Find the profit of Shanmu in 2003, if the profit of Shiva and Shivani in the same year is Rs 13950 and Rs 17000 respectively. (R = 10 months)Explanation:
Answer: a)
From above question, we have R= 10 months.
Then 13950/17000= (31000*S)/(34000*10)
S=9 months.
Let profit of Shanmu be Rs a.
Then a/17000= (30000*12)/ (34000*10)
a=Rs 18000
(i.e) Profit of Shanmu=Rs 18000
Explanation:
Answer: a)
From above question, we have R= 10 months.
Then 13950/17000= (31000*S)/(34000*10)
S=9 months.
Let profit of Shanmu be Rs a.
Then a/17000= (30000*12)/ (34000*10)
a=Rs 18000
(i.e) Profit of Shanmu=Rs 18000

Question 8 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.8. In 2001, if the difference between the profit shares of Shivani and Shanmu is Rs 550 and profit share of Shiva is Rs 7500, then find total investment of all of three.Explanation:
Answer: e)
From table, total profit of all three partners in 2001=22450
Given that profit share of Shiva=Rs 7500
Then total profit of Shivani and Shanmu= 224507500=Rs 14950
Since the difference between the profit shares of Shivani and Shanmu is Rs 550,
Profit share of Shivani=Rs 7200 and
Profit share of Shanmu=Rs 7750 [If the investment is more, then the share of profit also more than that of others]
Then (X+3050)/(X+4315) =7200/7750
(X+3050)/(X+4315) = 144/155
155x + 472750 = 144x + 621360
11x = 148610
X= Rs 13510
Thus, total investment of all three partners=13510+13510+3050+13510+4315
=Rs 47895
Explanation:
Answer: e)
From table, total profit of all three partners in 2001=22450
Given that profit share of Shiva=Rs 7500
Then total profit of Shivani and Shanmu= 224507500=Rs 14950
Since the difference between the profit shares of Shivani and Shanmu is Rs 550,
Profit share of Shivani=Rs 7200 and
Profit share of Shanmu=Rs 7750 [If the investment is more, then the share of profit also more than that of others]
Then (X+3050)/(X+4315) =7200/7750
(X+3050)/(X+4315) = 144/155
155x + 472750 = 144x + 621360
11x = 148610
X= Rs 13510
Thus, total investment of all three partners=13510+13510+3050+13510+4315
=Rs 47895

Question 9 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.9. Shivaniโs investment in 2005 is 32% greater than that of Shiva in same year and the value of T is 12 months. If profit of Shivani is Rs 23760, then what is the profit of Shanmu?Explanation:
Answer: c)
Shivaniโs investment in 2005=36000*(132/100) =Rs 47520
Let the profit of Shanmu be P,
Then, according to the question,
(47520/38500)=23760/P [Here period is equal, so, the ratio of profit = Ratio of investment]
P= (23760*38500)/47520
P=Rs 19250
Explanation:
Answer: c)
Shivaniโs investment in 2005=36000*(132/100) =Rs 47520
Let the profit of Shanmu be P,
Then, according to the question,
(47520/38500)=23760/P [Here period is equal, so, the ratio of profit = Ratio of investment]
P= (23760*38500)/47520
P=Rs 19250

Question 10 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.10. In 2002, profit of Shiva and Shanmu together is Rs 16400 and the difference between their profit shares is Rs 1200. Find the total profit in that year.Explanation:
Answer: e)
Without knowing the shares of investments of Shiva and Shanmu, We cannot find the total profit of all three partners in that year.
Explanation:
Answer: e)
Without knowing the shares of investments of Shiva and Shanmu, We cannot find the total profit of all three partners in that year.

Question 1 of 10Directions (1  5): Read the following information carefully and answer the given questions In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener. The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
1. Among the students that originally had Pen, at least how many students must now have Scale?Explanation:Directions (1 – 5):
Answer: d)
From the above table, out of the students that originally had Pen, the number of students now having Scale is โ12 โ xโ. Maximum possible value of x is 11.
Therefore minimum possible value of 12 โ x
= 12 โ 11= 1

Question 2 of 102. If out of the students that originally had Pen, the number of students now having Scale is 8, then find out of the students that now have Eraser?Explanation:
Answer: c)
From the above table, out of the students that originally had Pen, the number of students now having Scale is 8 = (12x)
8 = 12 โx
= > x = 4
Out of the students that originally had Pen, the number of students now having Eraser is 4.

Question 3 of 103. If among the students that originally had Note, the number of students now having Eraser is 1 more than the number of students now having Scale, then find the difference between the number of the students that now have Sharpener and ScaleExplanation:
Answer: b)
Among the students that originally had Note, the number of students now having Scale is a
Among the students that originally had Note, the number of students now having Eraser is b
From the above table, among the students that originally had Note, the total number of students now having Eraser and Scale is
(68 – 35) = 33 = (a + b) — (1)
= > (b – a) = 1 — (2)
Solve the above equation (1) and (2), we get
= > a = 34/2 = 17
= > b = 16
Required difference = 20 โ 17 = 3

Question 4 of 104. If among the students that originally had Sharpener, the number of students now having Eraser is twice the number of students now having Pen, then find out among the students that now have Scale which is one student more than the number of students that now have Pen?Explanation:
Answer: a)
Among the students that originally had Sharpener, the number of students now having Eraser is 18
Among the students that originally had Sharpener, the number of students now having Pen be (18/2) = 9
Among the students that originally had Sharpener, the number of students now having Scale = 9 + 1 = 10

Question 5 of 105. If among the students that originally had Pencil, the number of students now having Note is same as the number of students now having Scale, then find among the students that originally had Sharpener, the number of students now having penExplanation:
Answer: b)
From the above table,
Among the students that originally had Pencil, the number of students now having Note = among the students that originally had Pencil, the number of students now having Scale = 7
Among the students that originally had Pencil, the number of students now having Pen = 38 โ (3+7+9+7) = 38 โ 26 = 12 = z
Among the students that originally had Sharpener, the number of students now having pen = (21 – z)
= 21 โ 12 = 9

Question 6 of 10Directions (6  10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.6. If Shivaniโs investment in 2004 is Rs 8000 less than that of Shivaโs investment in the same year and Shanmuโs profit in 2004 is Rs 15500 then find for how many months did Shanmu invest his money in the year 2004.Explanation:
Answer: b)
Shivaniโs investment in 2004=340008000= Rs 26000
Since Shanmuโs profit is Rs 15500, then total profit of Shiva and Shivani together =4810015500=Rs 32600
Then 15500/32600= (31000*R)/(34000*10+26000*12)
155/326=31*R/652
R=10 months.

Question 7 of 107. Find the profit of Shanmu in 2003, if the profit of Shiva and Shivani in the same year is Rs 13950 and Rs 17000 respectively. (R = 10 months)Explanation:
Answer: a)
From above question, we have R= 10 months.
Then 13950/17000= (31000*S)/(34000*10)
S=9 months.
Let profit of Shanmu be Rs a.
Then a/17000= (30000*12)/ (34000*10)
a=Rs 18000
(i.e) Profit of Shanmu=Rs 18000

Question 8 of 108. In 2001, if the difference between the profit shares of Shivani and Shanmu is Rs 550 and profit share of Shiva is Rs 7500, then find total investment of all of three.Explanation:
Answer: e)
From table, total profit of all three partners in 2001=22450
Given that profit share of Shiva=Rs 7500
Then total profit of Shivani and Shanmu= 224507500=Rs 14950
Since the difference between the profit shares of Shivani and Shanmu is Rs 550,
Profit share of Shivani=Rs 7200 and
Profit share of Shanmu=Rs 7750 [If the investment is more, then the share of profit also more than that of others]
Then (X+3050)/(X+4315) =7200/7750
(X+3050)/(X+4315) = 144/155
155x + 472750 = 144x + 621360
11x = 148610
X= Rs 13510
Thus, total investment of all three partners=13510+13510+3050+13510+4315
=Rs 47895

Question 9 of 109. Shivaniโs investment in 2005 is 32% greater than that of Shiva in same year and the value of T is 12 months. If profit of Shivani is Rs 23760, then what is the profit of Shanmu?Explanation:
Answer: c)
Shivaniโs investment in 2005=36000*(132/100) =Rs 47520
Let the profit of Shanmu be P,
Then, according to the question,
(47520/38500)=23760/P [Here period is equal, so, the ratio of profit = Ratio of investment]
P= (23760*38500)/47520
P=Rs 19250

Question 10 of 1010. In 2002, profit of Shiva and Shanmu together is Rs 16400 and the difference between their profit shares is Rs 1200. Find the total profit in that year.Explanation:
Answer: e)
Without knowing the shares of investments of Shiva and Shanmu, We cannot find the total profit of all three partners in that year.
Click here to View Quantitative Aptitude Questions in Hindi
Directions (1 – 5): Read the following information carefully and answer the given questions
In a class of 321 students 321 stationary items are distributed such that every student gets exactly 1 item. There are six different items that are distributed among these students namely Pen, Pencil, Erase, Scale, Note and Sharpener. The following line โ graph provides information about the number of students who received Pen, Pencil, Erase, Scale, Note and Sharpener.
ย The students exchanged the items among themselves and after they stopped further exchanging, it was noted that no student had the same item that he/she had earlier. Even after the exchange every students has exactly one item.
 Among the students that originally had pen, the number of students now having Pencil, Note and Sharpener is 7, 12 and 9 respectively.
 Among the students that originally had Pencil, the numbers of students now having Eraser and scale is 3 and 9 respectively.
 Among the students that originally had Eraser, the number of students now having Pen, Note and Sharpener is 4, 9, and 11 respectively.
 Among the students that originally had Scale, the number of students now having Pen, Pencil, Eraser is 8, 7 and 9 respectively.
 Among the students that originally had Note, the number of students now having Pen, Pencil and Sharpener is 7, 6 and 20 respectively.
 Among the students that originally had Sharpener, the number of students now having Eraser and Note is 18 and 16 respectively.
1) Among the students that originally had Pen, at least how many students must now have Scale?
a) 5
b) 3
c) 2
d) 1
e) 6
2) If out of the students that originally had Pen, the number of students now having Scale is 8, then find out of the students that now have Eraser?
a) 3
b) 2
c) 4
d) 1
e) 5
3) If among the students that originally had Note, the number of students now having Eraser is 1 more than the number of students now having Scale, then find the difference between the number of the students that now have Sharpener and Scale
a) 4
b) 3
c) 5
d) 6
e) 12
4) If among the students that originally had Sharpener, the number of students now having Eraser is twice the number of students now having Pen, then find out among the students that now have Scale which is one student more than the number of students that now have Pen?
a) 10
b) 9
c) 16
d) 15
e) 18
5) If among the students that originally had Pencil, the number of students now having Note is same as the number of students now having Scale, then find among the students that originally had Sharpener, the number of students now having pen
a) 7
b) 9
c) 8
d) 6
e) 10
Directions (6 – 10): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.
6) If Shivaniโs investment in 2004 is Rs 8000 less than that of Shivaโs investment in the same year and Shanmuโs profit in 2004 is Rs 15500 then find for how many months did Shanmu invest his money in the year 2004.
a) 9 months
b) 10 months
c) 6 months
d) 12 months
e) 11 months
7) Find the profit of Shanmu in 2003, if the profit of Shiva and Shivani in the same year is Rs 13950 and Rs 17000 respectively. (R = 10 months)
a) Rs 18000
b) Rs 15580
c) Rs 17000
d) Rs 17500
e) Rs 16000
8) In 2001, if the difference between the profit shares of Shivani and Shanmu is Rs 550 and profit share of Shiva is Rs 7500, then find total investment of all of three.
a) Rs 42680
b) Rs 47280
c) Rs 43270
d) Rs 47908
e) Rs 47895
9) Shivaniโs investment in 2005 is 32% greater than that of Shiva in same year and the value of T is 12 months. If profit of Shivani is Rs 23760, then what is the profit of Shanmu?
a) Rs 15820
b) Rs 16520
c) Rs 19250
d) Rs 15880
e) Rs 18580
10) In 2002, profit of Shiva and Shanmu together is Rs 16400 and the difference between their profit shares is Rs 1200. Find the total profit in that year.
a) Rs 27920
b) Rs 24650
c) Rs 31620
d) Rs 19720
e) Cannot be determined
Answers :
Directions (1 – 5):
1) Answer: d)
From the above table, out of the students that originally had Pen, the number of students now having Scale is โ12 โ xโ. Maximum possible value of x is 11.
Therefore minimum possible value of 12 โ x
= 12 โ 11= 1
2) Answer: c)
From the above table, out of the students that originally had Pen, the number of students now having Scale is 8 = (12x)
8 = 12 โx
= > x = 4
Out of the students that originally had Pen, the number of students now having Eraser is 4.
3) Answer: b)
Among the students that originally had Note, the number of students now having Scale is a
Among the students that originally had Note, the number of students now having Eraser is b
From the above table, among the students that originally had Note, the total number of students now having Eraser and Scale is
(68 – 35) = 33 = (a + b) — (1)
= > (b – a) = 1 — (2)
Solve the above equation (1) and (2), we get
= > a = 34/2 = 17
= > b = 16
Required difference = 20 โ 17 = 3
4) Answer: a)
Among the students that originally had Sharpener, the number of students now having Eraser is 18
Among the students that originally had Sharpener, the number of students now having Pen be (18/2) = 9
Among the students that originally had Sharpener, the number of students now having Scale = 9 + 1 = 10
5) Answer: b)
From the above table,
Among the students that originally had Pencil, the number of students now having Note = among the students that originally had Pencil, the number of students now having Scale = 7
Among the students that originally had Pencil, the number of students now having Pen = 38 โ (3+7+9+7) = 38 โ 26 = 12 = z
Among the students that originally had Sharpener, the number of students now having pen = (21 – z)
= 21 โ 12 = 9
Direction (610) :
6) Answer: b)
Shivaniโs investment in 2004=340008000= Rs 26000
Since Shanmuโs profit is Rs 15500, then total profit of Shiva and Shivani together =4810015500=Rs 32600
Then 15500/32600= (31000*R)/(34000*10+26000*12)
155/326=31*R/652
R=10 months.
7) Answer: a)
From above question, we have R= 10 months.
Then 13950/17000= (31000*S)/(34000*10)
S=9 months.
Let profit of Shanmu be Rs a.
Then a/17000= (30000*12)/ (34000*10)
a=Rs 18000
(i.e) Profit of Shanmu=Rs 18000
8) Answer: e)
From table, total profit of all three partners in 2001=22450
Given that profit share of Shiva=Rs 7500
Then total profit of Shivani and Shanmu= 224507500=Rs 14950
Since the difference between the profit shares of Shivani and Shanmu is Rs 550,
Profit share of Shivani=Rs 7200 and
Profit share of Shanmu=Rs 7750 [If the investment is more, then the share of profit also more than that of others]
Then (X+3050)/(X+4315) =7200/7750
(X+3050)/(X+4315) = 144/155
155x + 472750 = 144x + 621360
11x = 148610
X= Rs 13510
Thus, total investment of all three partners=13510+13510+3050+13510+4315
=Rs 47895
9) Answer: c)
Shivaniโs investment in 2005=36000*(132/100) =Rs 47520
Let the profit of Shanmu be P,
Then, according to the question,
(47520/38500)=23760/P [Here period is equal, so, the ratio of profit = Ratio of investment]
P= (23760*38500)/47520
P=Rs 19250
10) Answer: e)
Without knowing the shares of investments of Shiva and Shanmu, We cannot find the total profit of all three partners in that year.
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