5411 + Interview Questions in Quantitative Aptitude Page 94 InterviewSolution

4651.	Who shot an equal number of coins and balloons?
Answer» Who shot an equal number of coins and balloons?

Discussion

4652.	How many kgs of salt at 42p per kg must a man mix with 25 kgs of salt at 24p per kg so that he may, by selling the mixture at 40p per kg, gain 25% on the outlay?
Answer» How many kgs of salt at 42p per kg must a man mix with 25 kgs of salt at 24p per kg so that he may, by selling the mixture at 40p per kg, gain 25 $%$ on the outlay?

Discussion

4653.	If the consumption of each petroleum product in 2011 is higher than that in 2010 then the minimum growth in total consumption in 2011 is more than:
Answer» If the consumption of each petroleum product in 2011 is higher than that in 2010 then the minimum growth in total consumption in 2011 is more than:

Discussion

4654.	When a number is divided by 48, it leaves a remainder of 17. What will be the remainder when the number is divided by 12?
Answer» When a number is divided by 48, it leaves a remainder of 17. What will be the remainder when the number is divided by 12?

Discussion

4655.	If A is not playing CRICKET, then who is the native of Pune?
Answer» If A is not playing CRICKET, then who is the native of Pune?

Discussion

4656.	Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?___
Answer» Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?___

Discussion

4657.	Ms.Chawla goes to a shop to buy a leather coat which costs Rs.735. The rate of sales tax is 5 %. She tells the shopkeeper to reduce the price of the coat, such that she has to pay Rs.735 inclusive of sales tax. Find the reduction needed in price of the coat.
Answer» Ms.Chawla goes to a shop to buy a leather coat which costs Rs.735. The rate of sales tax is 5 %. She tells the shopkeeper to reduce the price of the coat, such that she has to pay Rs.735 inclusive of sales tax. Find the reduction needed in price of the coat.

4657.

Ms.Chawla goes to a shop to buy a leather coat which costs Rs.735. The rate of sales tax is 5 %. She tells the shopkeeper to reduce the price of the coat, such that she has to pay Rs.735 inclusive of sales tax. Find the reduction needed in price of the coat.

Answer»

Ms.Chawla goes to a shop to buy a leather coat which costs Rs.735. The rate of sales tax is 5 %.

She tells the shopkeeper to reduce the price of the coat, such that she has to pay Rs.735 inclusive of sales tax. Find the reduction needed in price of the coat.

Discussion

4658.	A vector →a=α^i+2^j+β^k(α,β∈R) lies in the plane of the vectors, →b=^i+^j and →c=^i−^j+4^k. If →a bisects the angle between →b and →c, then
Answer» A vector $\to a = α^i + 2^j + β^k (α, β \in R)$ lies in the plane of the vectors, $\to b =^i +^j$ and $\to c =^i -^j + 4^k$ . If $\to a$ bisects the angle between $\to b$ and $\to c,$ then

Discussion

4659.	If only two answers were correct, what is the probability that the score would be 20?
Answer» If only two answers were correct, what is the probability that the score would be 20?

Discussion

4660.	Q79. 16 litres of kerosene is mixed with 5 litres of petrol. The price of kerosene is Rs. 12 per litre and the price of petrol is Rs. 33 per litre. The average price of the mixture per litre is: Q79. 16 लीटर केरोसिन 5 लीटर पेट्रोल के साथ मिलाया जाता है। केरोसिन की कीमत 12 रुपये प्रति लीटर और पेट्रोल की कीमत 33 रु प्रति लिटर है । मिश्रण की औसत कीमत प्रति लीटर क्या होगी है:
Answer» Q79. 16 litres of kerosene is mixed with 5 litres of petrol. The price of kerosene is Rs. 12 per litre and the price of petrol is Rs. 33 per litre. The average price of the mixture per litre is: Q79. 16 लीटर केरोसिन 5 लीटर पेट्रोल के साथ मिलाया जाता है। केरोसिन की कीमत 12 रुपये प्रति लीटर और पेट्रोल की कीमत 33 रु प्रति लिटर है । मिश्रण की औसत कीमत प्रति लीटर क्या होगी है:

4660.

Q79. 16 litres of kerosene is mixed with 5 litres of petrol. The price of kerosene is Rs. 12 per litre and the price of petrol is Rs. 33 per litre. The average price of the mixture per litre is: Q79. 16 लीटर केरोसिन 5 लीटर पेट्रोल के साथ मिलाया जाता है। केरोसिन की कीमत 12 रुपये प्रति लीटर और पेट्रोल की कीमत 33 रु प्रति लिटर है । मिश्रण की औसत कीमत प्रति लीटर क्या होगी है:

Answer»

Q79. 16 litres of kerosene is mixed with 5 litres of petrol. The price of kerosene is Rs. 12 per litre and the price of petrol is Rs. 33 per litre. The average price of the mixture per litre is:

Q79. 16 लीटर केरोसिन 5 लीटर पेट्रोल के साथ मिलाया जाता है। केरोसिन की कीमत 12 रुपये प्रति लीटर और पेट्रोल की कीमत 33 रु प्रति लिटर है । मिश्रण की औसत कीमत प्रति लीटर क्या होगी है:

Discussion

4661.	The total number of male employees working in the Marketing and the Finance departments together is what percent of the total number of employees working in these two departments together? Round off to your answer to the nearest numerical integer.
Answer» The total number of male employees working in the Marketing and the Finance departments together is what percent of the total number of employees working in these two departments together? Round off to your answer to the nearest numerical integer.

Discussion

4662.	A thin magnet of magnetic of 2π units is converted into an arc of a semicircle. The new magnetic moment becomes
Answer» A thin magnet of magnetic of $2 π$ units is converted into an arc of a semicircle. The new magnetic moment becomes

Discussion

4663.	In Shreya's opinion, her weight is greater than 65 kg but less than 72 kg. Her brother does not agree with Shreya and he thinks that Shreya's weight is greater than 60 kg but less than 70 kg. Her mother's view is that her weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Shreya?
Answer» In Shreya's opinion, her weight is greater than 65 kg but less than 72 kg. Her brother does not agree with Shreya and he thinks that Shreya's weight is greater than 60 kg but less than 70 kg. Her mother's view is that her weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Shreya?

Discussion

4664.	The minimum number of terms of an A.P. with first term 31 and common difference -2 that must be added to get a negative number?
Answer» The minimum number of terms of an A.P. with first term 31 and common difference -2 that must be added to get a negative number?

Discussion

4665.	The number of ways in which any four letters can be selected from the word "EXAMINATION” if two letters are alike and other two letters are also alike.
Answer» The number of ways in which any four letters can be selected from the word "EXAMINATION” if two letters are alike and other two letters are also alike.

Discussion

4666.	If three numbers a, b and c are in A.P., then b+c, c+a and a+b are in
Answer» If three numbers a, b and c are in A.P., then b+c, c+a and a+b are in

Discussion

4667.	The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option. If both the ducts are opened, how many hours will be taken to fill the cistern? I. The capacity of the cistern is 200 litres. II. The duct A fills the cistern in 2 hours. III. The duct B fills the cistern in 3 hours.
Answer» The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option. If both the ducts are opened, how many hours will be taken to fill the cistern? I. The capacity of the cistern is 200 litres. II. The duct A fills the cistern in 2 hours. III. The duct B fills the cistern in 3 hours.

4667.

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option. If both the ducts are opened, how many hours will be taken to fill the cistern? I. The capacity of the cistern is 200 litres. II. The duct A fills the cistern in 2 hours. III. The duct B fills the cistern in 3 hours.

Answer»

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option.

If both the ducts are opened, how many hours will be taken to fill the cistern?

I. The capacity of the cistern is 200 litres.

II. The duct A fills the cistern in 2 hours.

III. The duct B fills the cistern in 3 hours.

Discussion

4668.	Find the sum of all natural numbers that are less than 100 and divisibile by 4.
Answer» Find the sum of all natural numbers that are less than 100 and divisibile by 4.

Discussion

4669.	A bag contains 7 red and 2 white balls and another bag contains 5 red and 4 white balls. Two balls are drawn, one from each bag. The probability that both the balls are white, is
Answer» A bag contains 7 red and 2 white balls and another bag contains 5 red and 4 white balls. Two balls are drawn, one from each bag. The probability that both the balls are white, is

Discussion

4670.	Difference between internal and external trade.
Answer» Difference between internal and external trade.

Discussion

4671.	I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?
Answer» I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

Discussion

4672.	Anju’s and Binoy’s marks are in the ratio 3:5. If each gets 20 marks more, the ratio becomes 13:21. Anju’s marks are___
Answer» Anju’s and Binoy’s marks are in the ratio 3:5. If each gets 20 marks more, the ratio becomes 13:21. Anju’s marks are___

Discussion

4673.	The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers traveling by first and second class is 1 : 40. If Rs 1100 is collected as fare, the amount collected from first class passenger is:
Answer» The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers traveling by first and second class is 1 : 40. If Rs 1100 is collected as fare, the amount collected from first class passenger is:

Discussion

4674.	In the game of billiards, A can give B, 20 points in 80 and B can give C, 16 points in 80. How many points can A give C in a game of 200?
Answer» In the game of billiards, A can give B, 20 points in 80 and B can give C, 16 points in 80. How many points can A give C in a game of 200?

Discussion

4675.	A question paper consists of two sections of 3 and 5 questions respectively. Attempting one question from each section is compulsory. In how many ways can a student attempt the paper?
Answer» A question paper consists of two sections of 3 and 5 questions respectively. Attempting one question from each section is compulsory. In how many ways can a student attempt the paper?

Discussion

4676.	You take a wrong turn on the way to Port Blair and end up in Forks, where 99% of the inhabitants are vampires and the rest are regular humans. For obvious reasons, you want to be able to figure out who's who. On an average, nine-tenths of the vampires are correctly identified as vampires and nine-tenths of humans are correct identified as humans. What is the probability that someone identified as a human is actually a human?
Answer» You take a wrong turn on the way to Port Blair and end up in Forks, where 99% of the inhabitants are vampires and the rest are regular humans. For obvious reasons, you want to be able to figure out who's who. On an average, nine-tenths of the vampires are correctly identified as vampires and nine-tenths of humans are correct identified as humans. What is the probability that someone identified as a human is actually a human?

Discussion

4677.	How many numbers are there between 1 and 1000 with their sum of digits ≤ 5?
Answer» How many numbers are there between 1 and 1000 with their sum of digits $\leq$ 5?

Discussion

4678.	tan−1{√1+x2−x}
Answer» $t a n^{- 1} {\sqrt{1 + x^{2}} - x}$

Discussion

4679.	PQRS is a parallelogram. X and Y are mid-point of sides PQ and RS respectively. If W and Z are point on intersection of SX & PY and XR & YQ respectively. Then show that ar (triangle YWZ) =ar ( triangle XWZ)
Answer» PQRS is a parallelogram. X and Y are mid-point of sides PQ and RS respectively. If W and Z are point on intersection of SX & PY and XR & YQ respectively. Then show that ar (triangle YWZ) =ar ( triangle XWZ)

Discussion

4680.	Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out.___
Answer» Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out.___

Discussion

4681.	Find the minimum value of the function f(x) = \|x-1\| + \|x-2\| + \|x-3\| + ... + \|x-20\|
Answer» Find the minimum value of the function f(x) = \|x-1\| + \|x-2\| + \|x-3\| + ... + \|x-20\|

Discussion

4682.	In a Class X Board examination, ten papers are distributed over five Groups of PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan’s score in English Paper II has been intentionally removed in the table). Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl. Had John, Anil, Prakash and Tina each obtained Group Score of 100 in the Social Science Group, then their standing in decreasing order of final score would be:
Answer» In a Class X Board examination, ten papers are distributed over five Groups of PCB, Mathematics, Social Science, Vernacular and English. Each of the ten papers is evaluated out of 100. The final score of a student is calculated in the following manner. First the Group Scores are obtained by averaging marks in the papers within the Group. The final score is the simple average of the Group Scores. The data for the top ten students are presented below. (Dipan’s score in English Paper II has been intentionally removed in the table). Note: B or G against the name of a student respectively indicates whether the student is a boy or a girl. Had John, Anil, Prakash and Tina each obtained Group Score of 100 in the Social Science Group, then their standing in decreasing order of final score would be:

Discussion

4683.	An old man has Rs (1!+2!+3!+......+50!), all of which he wants to divide equally (without fractions) among his n children. Then, n may be
Answer» An old man has Rs $(1! + 2! + 3! + . . . . . . + 50!)$ , all of which he wants to divide equally (without fractions) among his n children. Then, n may be

Discussion

4684.	Among F, G, H, I and J, who is in the middle while standing in a row ? Statement I. H, who is third to the left of I, is to the immediate right of F and second to the left of J. Statement II. H is second to the left of J, who is not at any of the ends and who is third to the right of F. I is at one of the ends.
Answer» Among F, G, H, I and J, who is in the middle while standing in a row ? Statement I. H, who is third to the left of I, is to the immediate right of F and second to the left of J. Statement II. H is second to the left of J, who is not at any of the ends and who is third to the right of F. I is at one of the ends.

4684.

Among F, G, H, I and J, who is in the middle while standing in a row ? Statement I. H, who is third to the left of I, is to the immediate right of F and second to the left of J. Statement II. H is second to the left of J, who is not at any of the ends and who is third to the right of F. I is at one of the ends.

Answer»

Among F, G, H, I and J, who is in the middle while standing in a row ?

Statement I. H, who is third to the left of I, is to the immediate right of F and second to the left of J.

Statement II. H is second to the left of J, who is not at any of the ends and who is third to the right of F. I is at one of the ends.

Discussion

4685.	If GO = 32, SHE = 49, then MOES will be equal to
Answer» If GO = 32, SHE = 49, then MOES will be equal to

Discussion

4686.	If E's income saw an increase of 10% in 2012 and if his expenses remained same, what is the percentage change in his savings as a percentage of his incomes for the two years?
Answer» If E's income saw an increase of 10% in 2012 and if his expenses remained same, what is the percentage change in his savings as a percentage of his incomes for the two years?

Discussion

4687.	How many days are between the schedules of English and Economics?
Answer» How many days are between the schedules of English and Economics?

Discussion

4688.	If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE?___
Answer» If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE?___

Discussion

4689.	In ABC Company, 60% of the employees are men and 48% of the employees are engineers and 66.67% of these are men. What percentage of women are engineers?
Answer» In ABC Company, 60 $%$ of the employees are men and 48 $%$ of the employees are engineers and 66.67 $%$ of these are men. What percentage of women are engineers?

Discussion

4690.	What is the number of small fishes at the end of 7th August?
Answer» What is the number of small fishes at the end of $7^{t h}$ August?

Discussion

4691.	The image of the point A(1, 2) by the line mirror y = x is the point B and the image of B by the line mirror y = 0 is the point (α,β). Find α and β
Answer» The image of the point A(1, 2) by the line mirror y = x is the point B and the image of B by the line mirror y = 0 is the point $(α, β)$ . Find $α$ and $β$

Discussion

4692.	The curved surface of a cylinder is 176 cm2 its base area is 38.5cm2. find the volume of the cylinder.
Answer» The curved surface of a cylinder is 176 $c m^{2}$ its base area is $38.5 c m^{2}$ . find the volume of the cylinder.

Discussion

4693.	A quadrilateral is obtained by joining the mid-points of a rectangle. Further, a rectangle is obtained by joining the mid points of quadrilateral obtained above. Again another quadrilateral is obtained by joining the mid points of the second rectangle. This process is repeated for an infinite number of times. Find the ratio of the sum of areas of all the rectangles to the sum of the areas of all the quadrilaterals.
Answer» A quadrilateral is obtained by joining the mid-points of a rectangle. Further, a rectangle is obtained by joining the mid points of quadrilateral obtained above. Again another quadrilateral is obtained by joining the mid points of the second rectangle. This process is repeated for an infinite number of times. Find the ratio of the sum of areas of all the rectangles to the sum of the areas of all the quadrilaterals.

Discussion

4694.	How many more students decided to opt for a job in Mumbai in 1999 than in 1997?
Answer» How many more students decided to opt for a job in Mumbai in 1999 than in 1997?

Discussion

4695.	In 2010, which could be a valid statement about the revenues (adjusted for inflation) of these three companies?
Answer» In 2010, which could be a valid statement about the revenues (adjusted for inflation) of these three companies?

Discussion

4696.	The odds against a husband who is 50 years old living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that at least one of them will be alive 20 years hence.
Answer» The odds against a husband who is 50 years old living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that at least one of them will be alive 20 years hence.

Discussion

4697.	2 women and 5 men did a work in 4 days while 3 women and 6 men finished it in 3 days ,find the time taken by 1 woman alone and 1 man alone to do the work?
Answer» 2 women and 5 men did a work in 4 days while 3 women and 6 men finished it in 3 days ,find the time taken by 1 woman alone and 1 man alone to do the work?

Discussion

4698.	In a parallelogram ABCD, P is any point on the side AB. A line AQ drawn parallel to PC, intersects DC at Q. BD intersects AQ at S and PC at R. Prove that ar(ΔPRB)=ar(ΔDSQ)
Answer» In a parallelogram ABCD, P is any point on the side AB. A line AQ drawn parallel to PC, intersects DC at Q. BD intersects AQ at S and PC at R. Prove that $a r (Δ P R B) = a r (Δ D S Q)$

Discussion

4699.	A dealer bought two tanks for rupees 3120. He sold one at a loss of 15% and another at profit of 36%. He found that the selling price of both the tanks was same. What was the cost price of each tank.
Answer» A dealer bought two tanks for rupees 3120. He sold one at a loss of $15 %$ and another at profit of $36 %$ . He found that the selling price of both the tanks was same. What was the cost price of each tank.

Discussion

4700.	Find the measure of ∠BQR in the given figure.
Answer» Find the measure of $∠ B Q R$ in the given figure.

Discussion

Explore topic-wise InterviewSolutions in .

Who shot an equal number of coins and balloons?

How many kgs of salt at 42p per kg must a man mix with 25 kgs of salt at 24p per kg so that he may, by selling the mixture at 40p per kg, gain 25% on the outlay?

If the consumption of each petroleum product in 2011 is higher than that in 2010 then the minimum growth in total consumption in 2011 is more than:

When a number is divided by 48, it leaves a remainder of 17. What will be the remainder when the number is divided by 12?

If A is not playing CRICKET, then who is the native of Pune?

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?___

Ms.Chawla goes to a shop to buy a leather coat which costs Rs.735. The rate of sales tax is 5 %. She tells the shopkeeper to reduce the price of the coat, such that she has to pay Rs.735 inclusive of sales tax. Find the reduction needed in price of the coat.

A vector →a=α^i+2^j+β^k(α,β∈R) lies in the plane of the vectors, →b=^i+^j and →c=^i−^j+4^k. If →a bisects the angle between →b and →c, then

If only two answers were correct, what is the probability that the score would be 20?

The total number of male employees working in the Marketing and the Finance departments together is what percent of the total number of employees working in these two departments together? Round off to your answer to the nearest numerical integer.

A thin magnet of magnetic of 2π units is converted into an arc of a semicircle. The new magnetic moment becomes

The minimum number of terms of an A.P. with first term 31 and common difference -2 that must be added to get a negative number?

The number of ways in which any four letters can be selected from the word "EXAMINATION” if two letters are alike and other two letters are also alike.

If three numbers a, b and c are in A.P., then b+c, c+a and a+b are in

Find the sum of all natural numbers that are less than 100 and divisibile by 4.

A bag contains 7 red and 2 white balls and another bag contains 5 red and 4 white balls. Two balls are drawn, one from each bag. The probability that both the balls are white, is

Difference between internal and external trade.

I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

Anju’s and Binoy’s marks are in the ratio 3:5. If each gets 20 marks more, the ratio becomes 13:21. Anju’s marks are___

The ratio of the first and second class fares between two stations is 4 : 1 and that of the number of passengers traveling by first and second class is 1 : 40. If Rs 1100 is collected as fare, the amount collected from first class passenger is:

In the game of billiards, A can give B, 20 points in 80 and B can give C, 16 points in 80. How many points can A give C in a game of 200?

A question paper consists of two sections of 3 and 5 questions respectively. Attempting one question from each section is compulsory. In how many ways can a student attempt the paper?

How many numbers are there between 1 and 1000 with their sum of digits ≤ 5?

tan−1{√1+x2−x}

PQRS is a parallelogram. X and Y are mid-point of sides PQ and RS respectively. If W and Z are point on intersection of SX &amp; PY and XR &amp; YQ respectively. Then show that ar (triangle YWZ) =ar ( triangle XWZ)

Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out.___

Find the minimum value of the function f(x) = |x-1| + |x-2| + |x-3| + ... + |x-20|

An old man has Rs (1!+2!+3!+......+50!), all of which he wants to divide equally (without fractions) among his n children. Then, n may be

If GO = 32, SHE = 49, then MOES will be equal to

If E's income saw an increase of 10% in 2012 and if his expenses remained same, what is the percentage change in his savings as a percentage of his incomes for the two years?

How many days are between the schedules of English and Economics?

If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE?___

In ABC Company, 60% of the employees are men and 48% of the employees are engineers and 66.67% of these are men. What percentage of women are engineers?

What is the number of small fishes at the end of 7th August?

The image of the point A(1, 2) by the line mirror y = x is the point B and the image of B by the line mirror y = 0 is the point (α,β). Find α and β

The curved surface of a cylinder is 176 cm2 its base area is 38.5cm2. find the volume of the cylinder.

How many more students decided to opt for a job in Mumbai in 1999 than in 1997?

In 2010, which could be a valid statement about the revenues (adjusted for inflation) of these three companies?

The odds against a husband who is 50 years old living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5 : 3. Find the probability that at least one of them will be alive 20 years hence.

2 women and 5 men did a work in 4 days while 3 women and 6 men finished it in 3 days ,find the time taken by 1 woman alone and 1 man alone to do the work?

In a parallelogram ABCD, P is any point on the side AB. A line AQ drawn parallel to PC, intersects DC at Q. BD intersects AQ at S and PC at R. Prove that ar(ΔPRB)=ar(ΔDSQ)

A dealer bought two tanks for rupees 3120. He sold one at a loss of 15% and another at profit of 36%. He found that the selling price of both the tanks was same. What was the cost price of each tank.

Find the measure of ∠BQR in the given figure.

PQRS is a parallelogram. X and Y are mid-point of sides PQ and RS respectively. If W and Z are point on intersection of SX & PY and XR & YQ respectively. Then show that ar (triangle YWZ) =ar ( triangle XWZ)