5411 + Interview Questions in Quantitative Aptitude Page 107 InterviewSolution

5301.	Counting the number of rose cuttings, Anisha realized that she can plant these roses exactly in rows of 12 or 15. Find the number of rose cuttings she had if the number was between 100 and 150.
Answer» Counting the number of rose cuttings, Anisha realized that she can plant these roses exactly in rows of 12 or 15. Find the number of rose cuttings she had if the number was between 100 and 150.

Discussion

5302.	If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that the route A-M-B?
Answer» If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that the route A-M-B?

Discussion

5303.	N = 7777 ....... 7777, where the digit 7 repeats itself 603 times. What is the remainder left when N is divided by 1144?___
Answer» N = 7777 ....... 7777, where the digit 7 repeats itself 603 times. What is the remainder left when N is divided by 1144?___

Discussion

5304.	Directions:- Study the following information carefully to answer the question given below. A, B, C, D, E and F live on different floors in the same building having six floors numbered one to six (the ground floor is numbered 1, the floor above it numbered 2 and so on and the topmost floor is numbered 6). A lives on an even numbered floor. There are two floors between the floors on which D and F live. F lives on a floor above D's floor. D does not live on floor number 2. B does not live on an odd numbered floor. C does not live on any of the floors below F's floor. E does not live on a floor immediately above or immediately below the floor on which B lives. Who amongst the following live on the floors exactly between D and F?
Answer» Directions:- Study the following information carefully to answer the question given below. A, B, C, D, E and F live on different floors in the same building having six floors numbered one to six (the ground floor is numbered 1, the floor above it numbered 2 and so on and the topmost floor is numbered 6). A lives on an even numbered floor. There are two floors between the floors on which D and F live. F lives on a floor above D's floor. D does not live on floor number 2. B does not live on an odd numbered floor. C does not live on any of the floors below F's floor. E does not live on a floor immediately above or immediately below the floor on which B lives. Who amongst the following live on the floors exactly between D and F?

Discussion

5305.	What percent of total expenditure is spent on tennis?
Answer» What percent of total expenditure is spent on tennis?

Discussion

5306.	The ratio of the total number of males to the total number of females in the city P is 5 : 3. What per cent of the female population of city P watches Breaking Bad?
Answer» The ratio of the total number of males to the total number of females in the city P is 5 : 3. What per cent of the female population of city P watches Breaking Bad?

Discussion

5307.	In a village, there are 600 children who know Maths, 400 children who know Science and 150 children who know both. Out of those who know Maths, 300 know Algebra, 400 know Geometry and 200 know both. The number of children who know neither Algebra nor Geometry is ___(Assume that all children in the village know at least one of the subjects Maths and Science)
Answer» In a village, there are 600 children who know Maths, 400 children who know Science and 150 children who know both. Out of those who know Maths, 300 know Algebra, 400 know Geometry and 200 know both. The number of children who know neither Algebra nor Geometry is ___(Assume that all children in the village know at least one of the subjects Maths and Science)

Discussion

5308.	What is the remainder of 1421×1423×1425 when divided by 12 ?
Answer» What is the remainder of $1421 \times 1423 \times 1425$ when divided by 12 ?

Discussion

5309.	A league tournament was played between the teams Australia, Bangladesh, Canada and Zimbabwe in which each team played every other team exactly once. There were no ties or abandoned matches. All the results followed the rule that in a match between two teams, the team which had won a larger number of matches out of all their previous encounters won this match. Which team won the largest number of matches?
Answer» A league tournament was played between the teams Australia, Bangladesh, Canada and Zimbabwe in which each team played every other team exactly once. There were no ties or abandoned matches. All the results followed the rule that in a match between two teams, the team which had won a larger number of matches out of all their previous encounters won this match. Which team won the largest number of matches?

Discussion

5310.	What is the difference between a radian and degree?
Answer» What is the difference between a radian and degree?

Discussion

5311.	Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is
Answer» Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is

5311.

Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is

Answer»

Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals.

If the side is of length a, then one which is not the vertex of square is

Discussion

5312.	If x+1=x2 and x>0 then 2x4 is
Answer» If $x + 1 = x^{2}$ and $x > 0$ then $2 x^{4}$ is

Discussion

5313.	Q52)From the context, the word ‘venial’ in paragraph two most nearly means-
Answer» Q52)From the context, the word ‘venial’ in paragraph two most nearly means-

Discussion

5314.	Benga and Delma, two countries categorised as happy, are tied with the same total score. What is the maximum score they can have?
Answer» Benga and Delma, two countries categorised as happy, are tied with the same total score. What is the maximum score they can have?

Discussion

5315.	A box contains 3 white and 2 red balls. If the first drawn ball was not replaced then the probability that the second drawing ball will be red is
Answer» A box contains 3 white and 2 red balls. If the first drawn ball was not replaced then the probability that the second drawing ball will be red is

Discussion

5316.	Q68. Find the missing number in the given figure series: निम्नलिखित आकृति श्रृंखला में लुप्त संख्या पता कीजिएः
Answer» Q68. Find the missing number in the given figure series: निम्नलिखित आकृति श्रृंखला में लुप्त संख्या पता कीजिएः

5316.

Q68. Find the missing number in the given figure series: निम्नलिखित आकृति श्रृंखला में लुप्त संख्या पता कीजिएः

Answer»

Q68. Find the missing number in the given figure series:

निम्नलिखित आकृति श्रृंखला में लुप्त संख्या पता कीजिएः

Discussion

5317.	What is the approximate overall percentage of marks obtained by U in all the subjects together?
Answer» What is the approximate overall percentage of marks obtained by U in all the subjects together?

Discussion

5318.	Express 210 as the product of prime factors.
Answer» Express 210 as the product of prime factors.

Discussion

5319.	Questioning 5,000 girls across Delhi about the various taxes they pay at their favourite restaurants, the respondents put the VAT at 12.5% when it actually cost 14.5%. They believed the service charge is another tax imposed h the state or central government when it is actually purely imposed by the restaurant for rendering its service to you; respondents estimated service charge to be at 2.5% when it may vary from 4−10%. The Service tax was estimated to be another 2.5% when it is actually 12.36% and payable on 40% of your total bill (excluding taxes), which equals 4.96%.
Answer» Questioning 5,000 girls across Delhi about the various taxes they pay at their favourite restaurants, the respondents put the VAT at $12.5 %$ when it actually cost $14.5 %$ . They believed the service charge is another tax imposed h the state or central government when it is actually purely imposed by the restaurant for rendering its service to you; respondents estimated service charge to be at $2.5 %$ when it may vary from $4 - 10 %$ . The Service tax was estimated to be another $2.5 %$ when it is actually $12.36 %$ and payable on $40 %$ of your total bill (excluding taxes), which equals $4.96 %$ .

Discussion

5320.	Parliament of India has 250 MPs. Each of them drink 25 cans of cold drinks per day. The cupboard in the canteen inside the parliament has “a” rows and “a” columns for storing cans of cold drinks. If in each row, we can put only 1000 cans of cold drinks. The cans will last for (Maximum days) ___
Answer» Parliament of India has 250 MPs. Each of them drink 25 cans of cold drinks per day. The cupboard in the canteen inside the parliament has “a” rows and “a” columns for storing cans of cold drinks. If in each row, we can put only 1000 cans of cold drinks. The cans will last for (Maximum days) ___

Discussion

5321.	There are 5 friends in a class who get marks in the ratio 3:4:5:6:7. The maximum marks are the same in each case. The total marks obtained by the 5 are 35th the maximum obtainable marks. How many friends got more than 70% of the total marks?___
Answer» There are 5 friends in a class who get marks in the ratio 3:4:5:6:7. The maximum marks are the same in each case. The total marks obtained by the 5 are ${\frac{3}{5}}^{t h}$ the maximum obtainable marks. How many friends got more than $70 %$ of the total marks?___

Discussion

5322.	I. √2304=x II. y2 = 2304
Answer» I. $\sqrt{2304}$ =x II. y $^{2}$ = 2304

5322.

I. √2304=x II. y2 = 2304

Answer»

I. $\sqrt{2304}$ =x

II. y $^{2}$ = 2304

Discussion

5323.	What is the average number assigned to a slot in row Lotus?___
Answer» What is the average number assigned to a slot in row Lotus?___

Discussion

5324.	The teams are going to be seeded based on the following rule. The country that has won more matches in all the matches played between the two countries is given 2 points; the other country does not get any points. All pairs of countries are taken into consideration and the teams are ranked according to the total number of points obtained. If two countries get the same number of points, the country that has won a larger number of matches, in the matches played between the two countries, is given a higher ranking. Based on this, which country would be ranked second?
Answer» The teams are going to be seeded based on the following rule. The country that has won more matches in all the matches played between the two countries is given 2 points; the other country does not get any points. All pairs of countries are taken into consideration and the teams are ranked according to the total number of points obtained. If two countries get the same number of points, the country that has won a larger number of matches, in the matches played between the two countries, is given a higher ranking. Based on this, which country would be ranked second?

Discussion

5325.	Eight football teams - Italy, Norway, Brazil, Spain, Germany, Argentina, England and Portugal - participated in the mini world cup. These eight teams are divided into two groups. A and B - of four teams each group, every team played exactly one league match with every other team. The top two teams from each group, based on the number of points scored in the league matches, qualify for the next round, i.e., the semifinals. In the semifinals, the team with the highest number points from Group A will play with the second highest number of points from Group B, and the team with the highest number of points from group B will play with the team with second highest number of points from Group A. No game among the semifinals or the finals ends as a draw. For every team, a win earns have points, draw earns one point and a loss does not earn any points. Further the following information is known. 1. Germany won against Portugal in the finals. 2. In neither of the groups did any two teams score the same number of points during the league matches. 3. Spain had only one draw and that was with England. 4. Portugal, which stood second in Group B, did not play against Norway in the semifinals. 5. Though Brazil scored the same number of points as Argentina did, it did not qualify for the semifinals whereas Argentina did. 6. Both Argentina and Brazil scored 3 points in their group stage. Q. A match between which of the following teams ended as a draw?
Answer» Eight football teams - Italy, Norway, Brazil, Spain, Germany, Argentina, England and Portugal - participated in the mini world cup. These eight teams are divided into two groups. A and B - of four teams each group, every team played exactly one league match with every other team. The top two teams from each group, based on the number of points scored in the league matches, qualify for the next round, i.e., the semifinals. In the semifinals, the team with the highest number points from Group A will play with the second highest number of points from Group B, and the team with the highest number of points from group B will play with the team with second highest number of points from Group A. No game among the semifinals or the finals ends as a draw. For every team, a win earns have points, draw earns one point and a loss does not earn any points. Further the following information is known. 1. Germany won against Portugal in the finals. 2. In neither of the groups did any two teams score the same number of points during the league matches. 3. Spain had only one draw and that was with England. 4. Portugal, which stood second in Group B, did not play against Norway in the semifinals. 5. Though Brazil scored the same number of points as Argentina did, it did not qualify for the semifinals whereas Argentina did. 6. Both Argentina and Brazil scored 3 points in their group stage. Q. A match between which of the following teams ended as a draw?

Discussion

5326.	The inside perimeter of a running track with semi-circular ends and straight parallel sides is 312 m. The length of the straight portion of the track is 90 m. If the track has a uniform width of 2 m throughout, find its area.
Answer» The inside perimeter of a running track with semi-circular ends and straight parallel sides is 312 m. The length of the straight portion of the track is 90 m. If the track has a uniform width of 2 m throughout, find its area.

Discussion

5327.	The volume of a pyramid of base area 25cm2 and height 12 cm is:
Answer» The volume of a pyramid of base area $25 c m^{2}$ and height 12 cm is:

Discussion

5328.	A man can row downstream at 12 km/h and upstream at 8 km/h. What is the speed of man in still water?
Answer» A man can row downstream at 12 km/h and upstream at 8 km/h. What is the speed of man in still water?

Discussion

5329.	Directions: Answer the questions based on the information given below. During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series: 1. In each game exactly one batsman scored a century. 2. Each of these three players scored at least one century and no two batsmen scored equal number of centuries. 3. Rohit did not score a century in the 2nd game and Kohli scored a century in the last game. 4. Dhawan did not score a century in the 1st and 4th game. 5 The player who scored a century in the 2nd game did not score a century in the 5th game. 6. The player who scored a century in the 4th game also scored a century in the 6th game. 7. The player who scored a century in the 3rd game did not score a century in the 1st game. How many centuries did Dhawan score?
Answer» Directions: Answer the questions based on the information given below. During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series: 1. In each game exactly one batsman scored a century. 2. Each of these three players scored at least one century and no two batsmen scored equal number of centuries. 3. Rohit did not score a century in the 2nd game and Kohli scored a century in the last game. 4. Dhawan did not score a century in the 1st and 4th game. 5 The player who scored a century in the 2nd game did not score a century in the 5th game. 6. The player who scored a century in the 4th game also scored a century in the 6th game. 7. The player who scored a century in the 3rd game did not score a century in the 1st game. How many centuries did Dhawan score?

Discussion

5330.	If g(x)=x2+x−1 and (g∘f)(x)=4x2−10x+5, then f(54) is equal to
Answer» If $g (x) = x^{2} + x - 1$ and $(g \circ f) (x) = 4 x^{2} - 10 x + 5,$ then $f (\frac{5}{4})$ is equal to

Discussion

5331.	A factory manufacturing car batteries made a survey in the field on the life of these batteries. The data obtained was as follows: LifeTime (inmonths)Less than2424−3636−48morethan48TotalBatteriesNumber ofbatteries502405501601000 What is the probability that a battery chosen at random (i) will not last more than 36 months? (ii) will last for four years? [2 MARKS]
Answer» A factory manufacturing car batteries made a survey in the field on the life of these batteries. The data obtained was as follows: $\begin{matrix} L i f e T i m e (i n m o n t h s) & L e s s t h a n 24 & 24 - 36 & 36 - 48 & m o r e t h a n 48 & T o t a l B a t t e r i e s N u m b e r o f b a t t e r i e s & 50 & 240 & 550 & 160 & 1000 \end{matrix}$ What is the probability that a battery chosen at random (i) will not last more than 36 months? (ii) will last for four years? [2 MARKS]

5331.

A factory manufacturing car batteries made a survey in the field on the life of these batteries. The data obtained was as follows: LifeTime (inmonths)Less than2424−3636−48morethan48TotalBatteriesNumber ofbatteries502405501601000 What is the probability that a battery chosen at random (i) will not last more than 36 months? (ii) will last for four years? [2 MARKS]

Answer»

A factory manufacturing car batteries made a survey in the field on the life of these batteries. The data obtained was as follows:

$\begin{matrix} L i f e T i m e (i n m o n t h s) & L e s s t h a n 24 & 24 - 36 & 36 - 48 & m o r e t h a n 48 & T o t a l B a t t e r i e s N u m b e r o f b a t t e r i e s & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

What is the probability that a battery chosen at random

(i) will not last more than 36 months?

(ii) will last for four years? [2 MARKS]

Discussion

5332.	John has a cylindrical bottle of jam with a base radius of 5 cm and height = 14cm. He wants to consume all of it by applying it on 10 bread slices each measuring 11cm×10cm. Find out the thickness of the jam layer so all of it is consumed.
Answer» John has a cylindrical bottle of jam with a base radius of 5 cm and height = 14cm. He wants to consume all of it by applying it on 10 bread slices each measuring $11 c m \times 10 c m$ . Find out the thickness of the jam layer so all of it is consumed.

Discussion

5333.	limx→1/α1−cos(cx2+bx+a)(1−xα)2 where α is a root of ax2+bx+c=0, is equal to
Answer» $l i m x \to 1 / α \frac{1 - c o s (c x^{2} + b x + a)}{(1 - x α)^{2}}$ where $α$ is a root of $a x^{2} + b x + c = 0$ , is equal to

Discussion

5334.	In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Answer» In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?

Discussion

5335.	ABCD is a square of area a2. H,G,F,E,W,V,U,T,S,R,Q,P are midpoints of sides AB, BC, CD, DA, AH, HB, BG, GC, CF, FD, DE, EA respectively. Find the area of the shaded region.
Answer» ABCD is a square of area $a^{2}$ . H,G,F,E,W,V,U,T,S,R,Q,P are midpoints of sides AB, BC, CD, DA, AH, HB, BG, GC, CF, FD, DE, EA respectively. Find the area of the shaded region.

Discussion

5336.	Which number is smaller − (1) 235 or (2) 515(Answer 1 or 2)? Ans. _____________.
Answer» $W h i c h n u m b e r i s s m a l l e r - (1) 2^{35} o r (2) 5^{15} (A n s w e r 1 o r 2) ? A n s .$ _____________.

Discussion

5337.	The number of four digit numbers that can be formed from the digits 2,3,5,6,7,8 so that the digits do not repeat and the terminal digits are even is
Answer» The number of four digit numbers that can be formed from the digits 2,3,5,6,7,8 so that the digits do not repeat and the terminal digits are even is

Discussion

5338.	Who finished 3rd in the Personal Interviews?
Answer» Who finished 3rd in the Personal Interviews?

Discussion

5339.	If 6≥x≥−2 and 4≥y≥−4, find the limits for yx, where x and y are non-zero integers.
Answer» If $6 \geq x \geq - 2$ and $4 \geq y \geq - 4$ , find the limits for $\frac{y}{x},$ where x and y are non-zero integers.

Discussion

5340.	10 students enter into a class after A and 15 students before B. Also, 5 students enter between A and B. How many students are there in total if A entered before B?
Answer» 10 students enter into a class after A and 15 students before B. Also, 5 students enter between A and B. How many students are there in total if A entered before B?

Discussion

5341.	The following is the percentage distribution of the revenue split-up of AIRTEL mobile service limited or the years 1999 and 2000. Total revenue in any year = Revenue from local service + Revenue from STD/ISD services. (Use data from previous questions if necessary) Find the revenue from plan B for prepaid local services in the year 2000, if the same for the plan A for the year 1999 was 400 crores and there was a 100 increase in the overall revenue of the company from 1999 to 2000.
Answer» The following is the percentage distribution of the revenue split-up of AIRTEL mobile service limited or the years 1999 and 2000. Total revenue in any year = Revenue from local service + Revenue from STD/ISD services. (Use data from previous questions if necessary) Find the revenue from plan B for prepaid local services in the year 2000, if the same for the plan A for the year 1999 was 400 crores and there was a 100 increase in the overall revenue of the company from 1999 to 2000.

Discussion

5342.	The average of a set of seven consecutive integers is (x + 1) and that of a different set of seven consecutive integers is (x – 1). Find the average of all the integers in both the sets considering all the common integers only once.
Answer» The average of a set of seven consecutive integers is (x + 1) and that of a different set of seven consecutive integers is (x – 1). Find the average of all the integers in both the sets considering all the common integers only once.

Discussion

5343.	For what value of p the quadratic equation px2−18x+1=0 is a perfect square?
Answer» For what value of p the quadratic equation $p x^{2} - 18 x + 1 = 0$ is a perfect square?

Discussion

5344.	Royalty on the book is less than the printing cost by:
Answer» Royalty on the book is less than the printing cost by:

Discussion

5345.	An bullet can travel in the air at a speed of 1000 kmph. When walls of 10 cm thickness are placed in its path, the speed at which the bullet emerges out of the last wall in its path diminishes by a quantity which varies as the square root of the number of walls placed in its path. With four walls its emergent speed is 300 kmph. The greatest number of walls that can be placed in front of the bullet so that the bullet emerges out of the final wall in its path is :___
Answer» An bullet can travel in the air at a speed of 1000 kmph. When walls of 10 cm thickness are placed in its path, the speed at which the bullet emerges out of the last wall in its path diminishes by a quantity which varies as the square root of the number of walls placed in its path. With four walls its emergent speed is 300 kmph. The greatest number of walls that can be placed in front of the bullet so that the bullet emerges out of the final wall in its path is :___

Discussion

5346.	A car dealer sells a scooter for 1000,whichrepresentsa25)?
Answer» A car dealer sells a scooter for $1000, w h i c h r e p r e s e n t s a 25$ )?

Discussion

5347.	If an=xn+1xn, n being a natural number, then which of the following is equal to an+3?
Answer» If $a_{n} = x^{n} + \frac{1}{x^{n}},$ n being a natural number, then which of the following is equal to $a_{n + 3}$ ?

Discussion

5348.	Q36. A certain car uses 12 litres of petrol in traveling 240 kms. In order for the car to travel the same distance using 10 litres of petrol, by how what percentage must the car’s mileage in kms per litre be increased?
Answer» Q36. A certain car uses 12 litres of petrol in traveling 240 kms. In order for the car to travel the same distance using 10 litres of petrol, by how what percentage must the car’s mileage in kms per litre be increased?

Discussion

5349.	Step II of an input is: car 83 lost ever 32 46 74 now How many more steps will be required to complete the rearrangement?
Answer» Step II of an input is: car 83 lost ever 32 46 74 now How many more steps will be required to complete the rearrangement?

5349.

Step II of an input is: car 83 lost ever 32 46 74 now How many more steps will be required to complete the rearrangement?

Answer»

Step II of an input is: car 83 lost ever 32 46 74 now

How many more steps will be required to complete the rearrangement?

Discussion

5350.	In which year was the production 50% of the total production in 1993 and 1998 together?
Answer» In which year was the production 50% of the total production in 1993 and 1998 together?

Discussion

Explore topic-wise InterviewSolutions in .

Counting the number of rose cuttings, Anisha realized that she can plant these roses exactly in rows of 12 or 15. Find the number of rose cuttings she had if the number was between 100 and 150.

If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-N-B and a car that the route A-M-B?

N = 7777 ....... 7777, where the digit 7 repeats itself 603 times. What is the remainder left when N is divided by 1144?___

What percent of total expenditure is spent on tennis?

The ratio of the total number of males to the total number of females in the city P is 5 : 3. What per cent of the female population of city P watches Breaking Bad?

What is the remainder of 1421×1423×1425 when divided by 12 ?

What is the difference between a radian and degree?

Point of intersection of the diagonals of square is at origin and coordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is

If x+1=x2 and x&gt;0 then 2x4 is

Q52)From the context, the word ‘venial’ in paragraph two most nearly means-

Benga and Delma, two countries categorised as happy, are tied with the same total score. What is the maximum score they can have?

A box contains 3 white and 2 red balls. If the first drawn ball was not replaced then the probability that the second drawing ball will be red is

Q68. Find the missing number in the given figure series: निम्नलिखित आकृति श्रृंखला में लुप्त संख्या पता कीजिएः

What is the approximate overall percentage of marks obtained by U in all the subjects together?

Express 210 as the product of prime factors.

There are 5 friends in a class who get marks in the ratio 3:4:5:6:7. The maximum marks are the same in each case. The total marks obtained by the 5 are 35th the maximum obtainable marks. How many friends got more than 70% of the total marks?___

I. √2304=x II. y2 = 2304

What is the average number assigned to a slot in row Lotus?___

The inside perimeter of a running track with semi-circular ends and straight parallel sides is 312 m. The length of the straight portion of the track is 90 m. If the track has a uniform width of 2 m throughout, find its area.

The volume of a pyramid of base area 25cm2 and height 12 cm is:

A man can row downstream at 12 km/h and upstream at 8 km/h. What is the speed of man in still water?

If g(x)=x2+x−1 and (g∘f)(x)=4x2−10x+5, then f(54) is equal to

John has a cylindrical bottle of jam with a base radius of 5 cm and height = 14cm. He wants to consume all of it by applying it on 10 bread slices each measuring 11cm×10cm. Find out the thickness of the jam layer so all of it is consumed.

limx→1/α1−cos(cx2+bx+a)(1−xα)2 where α is a root of ax2+bx+c=0, is equal to

In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?

ABCD is a square of area a2. H,G,F,E,W,V,U,T,S,R,Q,P are midpoints of sides AB, BC, CD, DA, AH, HB, BG, GC, CF, FD, DE, EA respectively. Find the area of the shaded region.

Which number is smaller − (1) 235 or (2) 515(Answer 1 or 2)? Ans. _____________.

The number of four digit numbers that can be formed from the digits 2,3,5,6,7,8 so that the digits do not repeat and the terminal digits are even is

Who finished 3rd in the Personal Interviews?

If 6≥x≥−2 and 4≥y≥−4, find the limits for yx, where x and y are non-zero integers.

10 students enter into a class after A and 15 students before B. Also, 5 students enter between A and B. How many students are there in total if A entered before B?

The average of a set of seven consecutive integers is (x + 1) and that of a different set of seven consecutive integers is (x – 1). Find the average of all the integers in both the sets considering all the common integers only once.

For what value of p the quadratic equation px2−18x+1=0 is a perfect square?

Royalty on the book is less than the printing cost by:

A car dealer sells a scooter for 1000,whichrepresentsa25)?

If an=xn+1xn, n being a natural number, then which of the following is equal to an+3?

Q36. A certain car uses 12 litres of petrol in traveling 240 kms. In order for the car to travel the same distance using 10 litres of petrol, by how what percentage must the car’s mileage in kms per litre be increased?

Step II of an input is: car 83 lost ever 32 46 74 now How many more steps will be required to complete the rearrangement?

In which year was the production 50% of the total production in 1993 and 1998 together?

If x+1=x2 and x>0 then 2x4 is