5411 + Interview Questions in Quantitative Aptitude Page 78 InterviewSolution

3851.	A circle is touching the side BC of ΔABC at P and touching AB and AC produced at Q and R respectively. Prove that AQ=12 (perimeter of triangle ABC)
Answer» A circle is touching the side BC of $Δ A B C$ at P and touching AB and AC produced at Q and R respectively. Prove that $A Q = \frac{1}{2}$ (perimeter of triangle ABC)

Discussion

3852.	4(x−1x)2−8(x+18x)−29 .Find the value of x.
Answer» $4 (x - \frac{1}{x})^{2} - 8 (x + \frac{1}{8 x}) - 29$ .Find the value of x.

Discussion

3853.	How do we deduce to Area of regular hexagon =3√3a2sq units Area of regular octagon =2(1+√2)a
Answer» How do we deduce to Area of regular hexagon $= 3 \frac{\sqrt{3 a}}{2} s q$ units Area of regular octagon $= 2 (1 + \sqrt{2}) a$

Discussion

3854.	In a row of girls, there are 16 girls between Priya and Natasha. Priya is 32nd from the left end of the row. If Priya is closer than Natasha to the right end of the row, then how far is Natasha from the left end of the row?
Answer» In a row of girls, there are 16 girls between Priya and Natasha. Priya is 32 $^{n d}$ from the left end of the row. If Priya is closer than Natasha to the right end of the row, then how far is Natasha from the left end of the row?

Discussion

3855.	The average weight of a class of 25 students is 34 kg. If the weight of their maths teacher is included, the average rises by 400 g. The weight of the teacher is
Answer» The average weight of a class of 25 students is 34 kg. If the weight of their maths teacher is included, the average rises by 400 g. The weight of the teacher is

Discussion

3856.	In how many ways can the number 286 be written as a sum of two or more consecutive integers?
Answer» In how many ways can the number 286 be written as a sum of two or more consecutive integers?

Discussion

3857.	Identify the adverb in the sentence. I rang the doorbell twice, but no one answered the door.
Answer» Identify the adverb in the sentence. I rang the doorbell twice, but no one answered the door.

3857.

Identify the adverb in the sentence. I rang the doorbell twice, but no one answered the door.

Answer»

Identify the adverb in the sentence.

I rang the doorbell twice, but no one answered the door.

Discussion

3858.	M, N, O, P, Q, R, S, T and U are the nine dance trainees in a company, who go to the chambers of their two head dance teachers A and B, for their yearly appraisal. Each head teacher has time for only three trainees. P has a priority and must be given preference by A or B. R and N do not wish to go to the same head teacher. S goes to A only and T goes to B only. O comes back saying that neither of the two head teachers has time to see him. M does not go with R and U does not go with Q. N and U do not go together. If Q, R and S go together and are seen by one of the head teachers, then which head teacher sees whom,?
Answer» M, N, O, P, Q, R, S, T and U are the nine dance trainees in a company, who go to the chambers of their two head dance teachers A and B, for their yearly appraisal. Each head teacher has time for only three trainees. P has a priority and must be given preference by A or B. R and N do not wish to go to the same head teacher. S goes to A only and T goes to B only. O comes back saying that neither of the two head teachers has time to see him. M does not go with R and U does not go with Q. N and U do not go together. If Q, R and S go together and are seen by one of the head teachers, then which head teacher sees whom,?

Discussion

3859.	What is the simple annual growth rate of patients from 2007 to 2010?___
Answer» What is the simple annual growth rate of patients from 2007 to 2010?___

Discussion

3860.	In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey. The number of students who play hockey is ___.
Answer» In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey. The number of students who play hockey is ___.

Discussion

3861.	Find the complete range of values of x for which (x2−7x+13)x<1.
Answer» Find the complete range of values of x for which $(x^{2} - 7 x + 13)^{x} < 1$ .

Discussion

3862.	If the production in 1995 is expected to go up by 10% over that of the previous year and the sales are expected to go down by 20%, what is the excess of domestic production over the sales of trinkets in 1995?
Answer» If the production in 1995 is expected to go up by 10% over that of the previous year and the sales are expected to go down by 20%, what is the excess of domestic production over the sales of trinkets in 1995?

Discussion

3863.	In order to complete this job in 6 days, Mr. Shyam employs 6 workers on some day. If he had employed exactly 3 workers on each day and paid them the same amount, the job would have been completed in:
Answer» In order to complete this job in 6 days, Mr. Shyam employs 6 workers on some day. If he had employed exactly 3 workers on each day and paid them the same amount, the job would have been completed in:

Discussion

3864.	In the author's view, cities promote human creativity for all the following reasons EXCEPT that they
Answer» In the author's view, cities promote human creativity for all the following reasons EXCEPT that they

Discussion

3865.	Statements: U * Y, Y © R, R δ D Conclusions: I. D $ Y II. R U
Answer» Statements: U * Y, Y © R, R $δ$ D Conclusions: I. D $$$ Y II. R U

3865.

Statements: U * Y, Y © R, R δ D Conclusions: I. D $ Y II. R U

Answer»

Statements: U * Y, Y © R, R $δ$ D

Conclusions:

I. D $$$ Y
II. R U

Discussion

3866.	Prove that 2cos2Q−1=1−tan2Q1+tan2Q.
Answer» Prove that $2 {cos}^{2} Q - 1 = \frac{1 - {tan}^{2} Q}{1 + {tan}^{2} Q}$ .

Discussion

3867.	How many matches were played in the Spanish Football League?
Answer» How many matches were played in the Spanish Football League?

Discussion

3868.	Find the total number of couples surveyed by ABC across all the regions. ___
Answer» Find the total number of couples surveyed by ABC across all the regions. ___

Discussion

3869.	What is the remainder obtained when 100!+100 is divided by 101?
Answer» What is the remainder obtained when 100!+100 is divided by 101?

Discussion

3870.	A, B and C are partners sharing profits and losses in the ratio of 2:2:1. They admitted D for 14th share with effect from 1st April, 2017. An extract of their Balance Sheet as at 31st March, 2017 is as follows: Capital and LiabilitiesRsAssetsRsWorkmen Compensation Reserve80,000 Show the accounting treatment under the following alternative cases: Case 1. If then is no other information. Case 2. If a claim for workmen compensation is estimated at Rs 50,000. Case 3. If a claim for workmen compensation is estimated at Rs 80,000. Case 4. If a claim for workmen compensation is estimated at Rs 1,00,000.
Answer» A, B and C are partners sharing profits and losses in the ratio of 2:2:1. They admitted D for $\frac{1}{4} t h$ share with effect from 1st April, 2017. An extract of their Balance Sheet as at 31st March, 2017 is as follows: $\begin{matrix} Capital and Liabilities & Rs & Assets & Rs Workmen Compensation Reserve & 80, 000 \end{matrix}$ Show the accounting treatment under the following alternative cases: Case 1. If then is no other information. Case 2. If a claim for workmen compensation is estimated at Rs 50,000. Case 3. If a claim for workmen compensation is estimated at Rs 80,000. Case 4. If a claim for workmen compensation is estimated at Rs 1,00,000.

3870.

A, B and C are partners sharing profits and losses in the ratio of 2:2:1. They admitted D for 14th share with effect from 1st April, 2017. An extract of their Balance Sheet as at 31st March, 2017 is as follows: Capital and LiabilitiesRsAssetsRsWorkmen Compensation Reserve80,000 Show the accounting treatment under the following alternative cases: Case 1. If then is no other information. Case 2. If a claim for workmen compensation is estimated at Rs 50,000. Case 3. If a claim for workmen compensation is estimated at Rs 80,000. Case 4. If a claim for workmen compensation is estimated at Rs 1,00,000.

Answer»

A, B and C are partners sharing profits and losses in the ratio of 2:2:1. They admitted D for $\frac{1}{4} t h$ share with effect from 1st April, 2017. An extract of their Balance Sheet as at 31st March, 2017 is as follows:

$\begin{matrix} Capital and Liabilities & Rs & Assets & Rs Workmen Compensation Reserve & 80, 000 \end{matrix}$

Show the accounting treatment under the following alternative cases:

Case 1. If then is no other information.

Case 2. If a claim for workmen compensation is estimated at Rs 50,000.

Case 3. If a claim for workmen compensation is estimated at Rs 80,000.

Case 4. If a claim for workmen compensation is estimated at Rs 1,00,000.

Discussion

3871.	BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If L is the mid point of BC, prove that LM=LN.
Answer» BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If L is the mid point of BC, prove that LM=LN.

Discussion

3872.	Two ducts X and Y and can fill a cistern in 24 minutes and 30 minutes respectively but a third duct Z can empty the full tank in 12 minutes. X and Y are kept open for 10 minutes in the beginning and then Z is also opened. In what time is the cistern emptied?
Answer» Two ducts X and Y and can fill a cistern in 24 minutes and 30 minutes respectively but a third duct Z can empty the full tank in 12 minutes. X and Y are kept open for 10 minutes in the beginning and then Z is also opened. In what time is the cistern emptied?

Discussion

3873.	Find the least possible 5 digit number which when divided by 2, 4, 6 and 8, it leaves the remainders 1, 3, 5 and 7 respectively? ___
Answer» Find the least possible 5 digit number which when divided by 2, 4, 6 and 8, it leaves the remainders 1, 3, 5 and 7 respectively? ___

Discussion

3874.	In the adjoining figure O is the centre of the circle. The radius OP bisects a rectangle ABCD, at right angle. DM = NC = 2cm and AR = SB = 1 cm and KS = 4cm and OP = 5 cm. What is the area of the rectangle?
Answer» In the adjoining figure O is the centre of the circle. The radius OP bisects a rectangle ABCD, at right angle. DM = NC = 2cm and AR = SB = 1 cm and KS = 4cm and OP = 5 cm. What is the area of the rectangle?

Discussion

3875.	How many days are between the schedules of Economics and Biology?
Answer» How many days are between the schedules of Economics and Biology?

Discussion

3876.	According to a survey, at least 65% of the people like BlackBerry, 75% like iPhone and 80% like Samsung. It is known that everyone in the survey likes atleast one of these three. What is the minimum percentage of people who like all three?
Answer» According to a survey, at least 65% of the people like BlackBerry, 75% like iPhone and 80% like Samsung. It is known that everyone in the survey likes atleast one of these three. What is the minimum percentage of people who like all three?

Discussion

3877.	One card is drawn from a well –shuffled pack of 52 cards. Find the probability of getting a king of red.
Answer» One card is drawn from a well –shuffled pack of 52 cards. Find the probability of getting a king of red.

Discussion

3878.	Q57. A scientific calculator is available in Flipkart at 20% discount and the same is available at only 15% discount in Amazon. Mr. Rajesh has just sufficient amount of Rs. 800 to purchase it in Flipkart. What is the amount that Mr. Rajesh has less than the required amount to purchase it in Amazon?
Answer» Q57. A scientific calculator is available in Flipkart at 20% discount and the same is available at only 15% discount in Amazon. Mr. Rajesh has just sufficient amount of Rs. 800 to purchase it in Flipkart. What is the amount that Mr. Rajesh has less than the required amount to purchase it in Amazon?

Discussion

3879.	A squirrel starts climbing up a tree at the speed of 6 metres a minutes but after each 6 metres it slips down 4 metres. It will be able to reach a top 120 metres high in:
Answer» A squirrel starts climbing up a tree at the speed of 6 metres a minutes but after each 6 metres it slips down 4 metres. It will be able to reach a top 120 metres high in:

Discussion

3880.	Two friends A and B are stationed at two different points P and Q respectively along the same bank of a straight stretch of a flowing stream. The ratio of the speeds of A and B in still water is 1: 3. When A and B swim in the opposite directions from P and Q respectively, they meet at a point 30 meters from Q. If the time taken by A to reach point Q and B to reach point P from their original positions P and Q is the same, then the distance (in meters) between P and Q is
Answer» Two friends A and B are stationed at two different points P and Q respectively along the same bank of a straight stretch of a flowing stream. The ratio of the speeds of A and B in still water is 1: 3. When A and B swim in the opposite directions from P and Q respectively, they meet at a point 30 meters from Q. If the time taken by A to reach point Q and B to reach point P from their original positions P and Q is the same, then the distance (in meters) between P and Q is

Discussion

3881.	Find the inverse of f(x)= (4−(x−7)3)1/5
Answer» Find the inverse of f(x)= $(4 - (x - 7)^{3})^{1 / 5}$

Discussion

3882.	What is the highest percentage growth in the number of non-local people from East India, between any two consecutive years?
Answer» What is the highest percentage growth in the number of non-local people from East India, between any two consecutive years?

Discussion

3883.	G had the maximum stock of F in the month of
Answer» G had the maximum stock of F in the month of

Discussion

3884.	Two chords of a circle bisect each other. Then
Answer» Two chords of a circle bisect each other. Then

Discussion

3885.	A shopkeeper has 10 copies of each of nine different books, then number of ways in which atleast one book can be selected is
Answer» A shopkeeper has 10 copies of each of nine different books, then number of ways in which atleast one book can be selected is

Discussion

3886.	The number of 2 digit positive integral values of m, for which the roots of the equation mx2+(2m−1)x+(m−2)=0 are rational is ___
Answer» The number of 2 digit positive integral values of m, for which the roots of the equation $m x^{2} + (2 m - 1) x + (m - 2) = 0$ are rational is ___

Discussion

3887.	Three circles with radii 1 unit each touch each other externally while a bigger circle encloses all the three circles as shown in the figure. A smaller circle is drawn in the area enclosed by the three circles, concentric with the bigger circle such that it touches all the three circles. The ratio of radius of the smallest circle to that of the biggest circle is: (Figure.)
Answer» Three circles with radii 1 unit each touch each other externally while a bigger circle encloses all the three circles as shown in the figure. A smaller circle is drawn in the area enclosed by the three circles, concentric with the bigger circle such that it touches all the three circles. The ratio of radius of the smallest circle to that of the biggest circle is: (Figure.)

Discussion

3888.	A vendor bought a number of bananas at 6 for 5 rupees and sold them at 5 for 6. He gained by:
Answer» A vendor bought a number of bananas at 6 for 5 rupees and sold them at 5 for 6. He gained by:

Discussion

3889.	If the price of coffee powder per kg is increased by 20%, then find by how much the consumption should be reduced so that the expenditure does not change?
Answer» If the price of coffee powder per kg is increased by 20%, then find by how much the consumption should be reduced so that the expenditure does not change?

Discussion

3890.	A lady covers a certain distance on her scooty. Had she moved 9 kmph faster she would have taken 2 hrs less. If she had moved 6 kmph slower, she would have taken 2 hrs more. Find the distance.
Answer» A lady covers a certain distance on her scooty. Had she moved 9 kmph faster she would have taken 2 hrs less. If she had moved 6 kmph slower, she would have taken 2 hrs more. Find the distance.

Discussion

3891.	The difference of two natural numbers is 2 and their product is 224. Find the larger of the two numbers.
Answer» The difference of two natural numbers is 2 and their product is 224. Find the larger of the two numbers.

Discussion

3892.	What is the average of the number of tigers in the grassland of Sri Lanka over all the year together?
Answer» What is the average of the number of tigers in the grassland of Sri Lanka over all the year together?

Discussion

3893.	An integer N, 100<N<200, when expressed in base 5 notation has a final (i.e. rightmost) digit of 0. When N is expressed in base 8 notation and base 11 notation, the leading (i.e. leftmost) digit is 1 in both cases. Then N when divided by 7 gives a remainder of: ___
Answer» An integer N, $100 < N < 200$ , when expressed in base 5 notation has a final (i.e. rightmost) digit of 0. When N is expressed in base 8 notation and base 11 notation, the leading (i.e. leftmost) digit is 1 in both cases. Then N when divided by 7 gives a remainder of: ___

Discussion

3894.	What was the amount that Shyam took initially?___
Answer» What was the amount that Shyam took initially?___

Discussion

3895.	Show that the progression 21, 16, 11, 6, 1, ... is an AP. Write its first term and the common difference. Which term of this AP is - 54? .
Answer» Show that the progression 21, 16, 11, 6, 1, ... is an AP. Write its first term and the common difference. Which term of this AP is - 54? .

Discussion

3896.	The numbers 1, 2, .........., 9 are arranged in a 3×3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left and the top right entries of the grid are 6 and 2, respectively, then the bottom middle entry is ___
Answer» The numbers 1, 2, .........., 9 are arranged in a $3 \times 3$ square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value. If the top left and the top right entries of the grid are 6 and 2, respectively, then the bottom middle entry is ___

Discussion

3897.	If on Tuesday, Balwinder, a devotee of Lord Hanuman, eats only vegetarian food, what will Charu eat on Tuesday?
Answer» If on Tuesday, Balwinder, a devotee of Lord Hanuman, eats only vegetarian food, what will Charu eat on Tuesday?

Discussion

3898.	A new flag is to be designed with 6 vertical stripes using some or all of the colours yellow, blue, green and red. The number of ways this can be done such that no two adjacent stripes have the same colour is ___
Answer» A new flag is to be designed with 6 vertical stripes using some or all of the colours yellow, blue, green and red. The number of ways this can be done such that no two adjacent stripes have the same colour is ___

Discussion

3899.	I take a flat metallic circular plate of radius r. Now by hammering it I now convert it into a metallic hemisphere of same radius as circular plate. What is the change in surface area of the metal due to the hammering?
Answer» I take a flat metallic circular plate of radius r. Now by hammering it I now convert it into a metallic hemisphere of same radius as circular plate. What is the change in surface area of the metal due to the hammering?

Discussion

3900.	A jar contains 4 red marbles, 4 green marbles, and 5 blue marbles. If we choose a marble, then another marble without putting the first one back in the jar, what is the probability that the first marble will be blue and the second will be green?
Answer» A jar contains 4 red marbles, 4 green marbles, and 5 blue marbles. If we choose a marble, then another marble without putting the first one back in the jar, what is the probability that the first marble will be blue and the second will be green?

Discussion

Explore topic-wise InterviewSolutions in .

A circle is touching the side BC of ΔABC at P and touching AB and AC produced at Q and R respectively. Prove that AQ=12 (perimeter of triangle ABC)

4(x−1x)2−8(x+18x)−29 .Find the value of x.

How do we deduce to Area of regular hexagon =3√3a2sq units Area of regular octagon =2(1+√2)a

In a row of girls, there are 16 girls between Priya and Natasha. Priya is 32nd from the left end of the row. If Priya is closer than Natasha to the right end of the row, then how far is Natasha from the left end of the row?

The average weight of a class of 25 students is 34 kg. If the weight of their maths teacher is included, the average rises by 400 g. The weight of the teacher is

In how many ways can the number 286 be written as a sum of two or more consecutive integers?

Identify the adverb in the sentence. I rang the doorbell twice, but no one answered the door.

What is the simple annual growth rate of patients from 2007 to 2010?___

In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey. The number of students who play hockey is ___.

Find the complete range of values of x for which (x2−7x+13)x&lt;1.

If the production in 1995 is expected to go up by 10% over that of the previous year and the sales are expected to go down by 20%, what is the excess of domestic production over the sales of trinkets in 1995?

In order to complete this job in 6 days, Mr. Shyam employs 6 workers on some day. If he had employed exactly 3 workers on each day and paid them the same amount, the job would have been completed in:

In the author's view, cities promote human creativity for all the following reasons EXCEPT that they

Statements: U * Y, Y © R, R δ D Conclusions: I. D $ Y II. R U

Prove that 2cos2Q−1=1−tan2Q1+tan2Q.

How many matches were played in the Spanish Football League?

Find the total number of couples surveyed by ABC across all the regions. ___

What is the remainder obtained when 100!+100 is divided by 101?

BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If L is the mid point of BC, prove that LM=LN.

Two ducts X and Y and can fill a cistern in 24 minutes and 30 minutes respectively but a third duct Z can empty the full tank in 12 minutes. X and Y are kept open for 10 minutes in the beginning and then Z is also opened. In what time is the cistern emptied?

Find the least possible 5 digit number which when divided by 2, 4, 6 and 8, it leaves the remainders 1, 3, 5 and 7 respectively? ___

In the adjoining figure O is the centre of the circle. The radius OP bisects a rectangle ABCD, at right angle. DM = NC = 2cm and AR = SB = 1 cm and KS = 4cm and OP = 5 cm. What is the area of the rectangle?

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

According to a survey, at least 65% of the people like BlackBerry, 75% like iPhone and 80% like Samsung. It is known that everyone in the survey likes atleast one of these three. What is the minimum percentage of people who like all three?

One card is drawn from a well –shuffled pack of 52 cards. Find the probability of getting a king of red.

Q57. A scientific calculator is available in Flipkart at 20% discount and the same is available at only 15% discount in Amazon. Mr. Rajesh has just sufficient amount of Rs. 800 to purchase it in Flipkart. What is the amount that Mr. Rajesh has less than the required amount to purchase it in Amazon?

A squirrel starts climbing up a tree at the speed of 6 metres a minutes but after each 6 metres it slips down 4 metres. It will be able to reach a top 120 metres high in:

Find the inverse of f(x)= (4−(x−7)3)1/5

What is the highest percentage growth in the number of non-local people from East India, between any two consecutive years?

G had the maximum stock of F in the month of

Two chords of a circle bisect each other. Then

A shopkeeper has 10 copies of each of nine different books, then number of ways in which atleast one book can be selected is

The number of 2 digit positive integral values of m, for which the roots of the equation mx2+(2m−1)x+(m−2)=0 are rational is ___

A vendor bought a number of bananas at 6 for 5 rupees and sold them at 5 for 6. He gained by:

If the price of coffee powder per kg is increased by 20%, then find by how much the consumption should be reduced so that the expenditure does not change?

A lady covers a certain distance on her scooty. Had she moved 9 kmph faster she would have taken 2 hrs less. If she had moved 6 kmph slower, she would have taken 2 hrs more. Find the distance.

The difference of two natural numbers is 2 and their product is 224. Find the larger of the two numbers.

What is the average of the number of tigers in the grassland of Sri Lanka over all the year together?

An integer N, 100&lt;N&lt;200, when expressed in base 5 notation has a final (i.e. rightmost) digit of 0. When N is expressed in base 8 notation and base 11 notation, the leading (i.e. leftmost) digit is 1 in both cases. Then N when divided by 7 gives a remainder of: ___

What was the amount that Shyam took initially?___

Show that the progression 21, 16, 11, 6, 1, ... is an AP. Write its first term and the common difference. Which term of this AP is - 54? .

If on Tuesday, Balwinder, a devotee of Lord Hanuman, eats only vegetarian food, what will Charu eat on Tuesday?

A new flag is to be designed with 6 vertical stripes using some or all of the colours yellow, blue, green and red. The number of ways this can be done such that no two adjacent stripes have the same colour is ___

I take a flat metallic circular plate of radius r. Now by hammering it I now convert it into a metallic hemisphere of same radius as circular plate. What is the change in surface area of the metal due to the hammering?

A jar contains 4 red marbles, 4 green marbles, and 5 blue marbles. If we choose a marble, then another marble without putting the first one back in the jar, what is the probability that the first marble will be blue and the second will be green?

Find the complete range of values of x for which (x2−7x+13)x<1.

An integer N, 100<N<200, when expressed in base 5 notation has a final (i.e. rightmost) digit of 0. When N is expressed in base 8 notation and base 11 notation, the leading (i.e. leftmost) digit is 1 in both cases. Then N when divided by 7 gives a remainder of: ___