5411 + Interview Questions in Quantitative Aptitude Page 100 InterviewSolution

4951.	If U is placed in window number 5, then which of the following products must be placed in window number 6?
Answer» If U is placed in window number 5, then which of the following products must be placed in window number 6?

Discussion

4952.	A train consists of 12 bogies, each bogie being 18 metre long. The train crosses a tree in 18 seconds. Due to some reasons, two bogies were detached. In how much time will the train now cross the tree?
Answer» A train consists of 12 bogies, each bogie being 18 metre long. The train crosses a tree in 18 seconds. Due to some reasons, two bogies were detached. In how much time will the train now cross the tree?

Discussion

4953.	A man and a train are ‘l’ meters apart and the speed of the train and man is ‘v’ m/s and ‘v’ kmph. If both are travelling in opposite direction, the distance covered by the man before he meets the train is
Answer» A man and a train are ‘l’ meters apart and the speed of the train and man is ‘v’ m/s and ‘v’ kmph. If both are travelling in opposite direction, the distance covered by the man before he meets the train is

Discussion

4954.	If the XAT centre of 4 students can be any one of the 7 cities, then calculate the probability that all the 4 students get any one of exactly 2 centres.
Answer» If the XAT centre of 4 students can be any one of the 7 cities, then calculate the probability that all the 4 students get any one of exactly 2 centres.

Discussion

4955.	A sum of money is invested at 10% per annum compounded half-yearly. If the difference of the amounts at the end of 6 months and 12 months is Rs 189, find the sum of money invested.
Answer» A sum of money is invested at $10 %$ per annum compounded half-yearly. If the difference of the amounts at the end of 6 months and 12 months is Rs 189, find the sum of money invested.

Discussion

4956.	Bangalore's Metro urban planners expect the city's population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Bangalore over the last year?
Answer» Bangalore's Metro urban planners expect the city's population to increase by $10 %$ per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Bangalore over the last year?

Discussion

4957.	In the following question, two equations numbered I and II are given. You have to solve both the equations and choose the appropriate answer.
Answer» In the following question, two equations numbered I and II are given. You have to solve both the equations and choose the appropriate answer.

Discussion

4958.	A boy was flying a kite which was at a height of 40m just above a tree. The string was 50m long. How far away from the tree was the boy flying the kite?undefinedundefinedundefinedundefined
Answer» A boy was flying a kite which was at a height of 40m just above a tree. The string was 50m long. How far away from the tree was the boy flying the kite? undefined undefined undefined undefined

Discussion

4959.	DE : : 10 : : HI : ?
Answer» DE : : 10 : : HI : ?

Discussion

4960.	How many different pairs (a,b) of positive integers are there such taht a≤b and 1a+1b=19? ___
Answer» How many different pairs (a,b) of positive integers are there such taht $a \leq b a n d \frac{1}{a} + \frac{1}{b} = \frac{1}{9}$ ? ___

Discussion

4961.	In 2004, sixty percent of population in Delhi and Mumbai were male. Given that the population of females increases at the rate of 15 percent per annum and that of males at the rate of 20 percent per annum, what will be the approximate percentage growth of population between 2004 and 2011 in Delhi and Mumbai?
Answer» In 2004, sixty percent of population in Delhi and Mumbai were male. Given that the population of females increases at the rate of 15 percent per annum and that of males at the rate of 20 percent per annum, what will be the approximate percentage growth of population between 2004 and 2011 in Delhi and Mumbai?

Discussion

4962.	All the 6 sides of a cube are colored. Now this cube is broken into smaller cubes, witheach side 14 the size of the side of the larger cube. How many of the smaller cubes will have all three sides colored?
Answer» All the 6 sides of a cube are colored. Now this cube is broken into smaller cubes, witheach side $\frac{1}{4}$ the size of the side of the larger cube. How many of the smaller cubes will have all three sides colored?

Discussion

4963.	Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ...10}. Then the probability that \|x - y\| > 5 is:
Answer» Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ...10}. Then the probability that \|x - y\| > 5 is:

Discussion

4964.	In an automated plant assembly line, the rate of rejection of components was 10% on July 1st and 6% on July 2nd . The combined rate of rejection for the two days was 9%. The ratio of production volumes on July 1st and on July 2nd is
Answer» In an automated plant assembly line, the rate of rejection of components was $10 %$ on July $1^{s t}$ and $6 %$ on July $2^{n d}$ . The combined rate of rejection for the two days was $9 %$ . The ratio of production volumes on July 1st and on July 2nd is

Discussion

4965.	Find the value of a if the roots of the equation x2−2ax+27=0 are α,3α and α> 0
Answer» Find the value of a if the roots of the equation $x^{2} - 2 a x + 27 = 0$ are $α, 3 α$ and $α >$ 0

Discussion

4966.	Find the remainder when 40! is divided by 41. ___
Answer» Find the remainder when 40! is divided by 41. ___

Discussion

4967.	The remainder obtained when the sum of first 21 natural numbers is divided by 8 is
Answer» The remainder obtained when the sum of first 21 natural numbers is divided by 8 is

Discussion

4968.	Suppose f(x)=(x+1)2 for x≥1. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to the line y = x, then g(x) equals:
Answer» Suppose $f (x) = (x + 1)^{2}$ for $x \geq 1.$ If g(x) is the function whose graph is reflection of the graph of f(x) with respect to the line y = x, then g(x) equals:

Discussion

4969.	How many trainees at Robinsons were absorbed as employees by end of 2007? ___
Answer» How many trainees at Robinsons were absorbed as employees by end of 2007? ___

Discussion

4970.	Explain this table Choice of terms in AP: No. of termsTermsCommon difference3a−d,a,a+dd4a−3d,a−d,a+d,a+3d2d5a−2d,a−d,a,a+d,a+2dd6a−5d,a−3d,a−d,a+d a+3d,a+5d2d
Answer» Explain this table Choice of terms in AP: $\begin{matrix} N o . o f t e r m s & T e r m s & C o m m o n d i f f e r e n c e 3 & a - d, a, a + d & d 4 & a - 3 d, a - d, a + d, a + 3 d & 2 d 5 & a - 2 d, a - d, a, a + d, a + 2 d & d 6 & a - 5 d, a - 3 d, a - d, a + d a + 3 d, a + 5 d & 2 d \end{matrix}$

Discussion

4971.	Find positive integers such that when 6 is subtracted from 5 times the integer, the resulting number cannot be greater than 4 times the integer.
Answer» Find positive integers such that when 6 is subtracted from 5 times the integer, the resulting number cannot be greater than 4 times the integer.

Discussion

4972.	Question 21 ___ is a reduction on the marked price of the article.
Answer» Question 21 ___ is a reduction on the marked price of the article.

4972.

Question 21 ___ is a reduction on the marked price of the article.

Answer»

Question 21

___ is a reduction on the marked price of the article.

Discussion

4973.	Four identical circles are drawn taking the vertices of a square as centers. The circles are tangential to one another. Another circle is drawn so that it is tangential to all the circles and lies within the square. Find the ratio of the sum of the areas of the four circles lying within the square to that area of the smaller circle
Answer» Four identical circles are drawn taking the vertices of a square as centers. The circles are tangential to one another. Another circle is drawn so that it is tangential to all the circles and lies within the square. Find the ratio of the sum of the areas of the four circles lying within the square to that area of the smaller circle

Discussion

4974.	In order that graph of y=3x2−4x+2m crosses the x-axis in two distinct points, the value of 'm' must be such that :
Answer» In order that graph of $y = 3 x^{2} - 4 x + 2 m$ crosses the x-axis in two distinct points, the value of 'm' must be such that :

Discussion

4975.	In a class students can take one or more out four subjects English, Math, Physics and Chemistry.110 take English, 100 take math,55 take physics and 130 take chemistry. Each student must take at least one subject.20 take only English, 10 take only math, 5 take only physics and 80 take only chemistry. The maximum possible number of students in the class is ___
Answer» In a class students can take one or more out four subjects English, Math, Physics and Chemistry.110 take English, 100 take math,55 take physics and 130 take chemistry. Each student must take at least one subject.20 take only English, 10 take only math, 5 take only physics and 80 take only chemistry. The maximum possible number of students in the class is ___

Discussion

4976.	You are given a sphere of radius 2 cm. If you are asked to select a best suited spring balnce to determine its weight, then out of the following which one would you prefer? The sphere is made of an alloy of density 7×103kgm−3.
Answer» You are given a sphere of radius 2 cm. If you are asked to select a best suited spring balnce to determine its weight, then out of the following which one would you prefer? The sphere is made of an alloy of density $7 \times 10^{3} k g m^{- 3}$ .

Discussion

4977.	The area of cross section of two cylinders of a Hydraulic press are 10 cm2 and 50 cm2 respectively. In order to move up a weight of 100 N placed on the piston of larger area of the press, force supplied on the piston of smaller area is (y×10) Newton. Find 'y'.
Answer» The area of cross section of two cylinders of a Hydraulic press are $10 c m^{2}$ and $50 c m^{2}$ respectively. In order to move up a weight of 100 N placed on the piston of larger area of the press, force supplied on the piston of smaller area is $(y \times 10)$ Newton. Find 'y'.

Discussion

4978.	In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. As a kid, my father used to take me to a joint / called Roosters that served two eggs, / two pancakes, two strips of bacon, two pieces of toast / and all the butter patties and coffee one could consume for $2.22.
Answer» In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. As a kid, my father used to take me to a joint / called Roosters that served two eggs, / two pancakes, two strips of bacon, two pieces of toast / and all the butter patties and coffee one could consume for $2.22.

4978.

In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any. As a kid, my father used to take me to a joint / called Roosters that served two eggs, / two pancakes, two strips of bacon, two pieces of toast / and all the butter patties and coffee one could consume for $2.22.

Answer»

In the following question, there is a sentence which is divided into four parts. Choose the fragment that carries an error (if any). Ignore punctuation errors if any.

As a kid, my father used to take me to a joint / called Roosters that served two eggs, / two pancakes, two strips of bacon, two pieces of toast / and all the butter patties and coffee one could consume for $2.22.

Discussion

4979.	Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B=90∘. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.
Answer» Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and $∠ B = 90^{\circ}$ . Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.

Discussion

4980.	In the adjoining diagram given that BC = CD. Then what is the value of x.
Answer» In the adjoining diagram given that BC = CD. Then what is the value of x.

Discussion

4981.	If \|x-1\| - \|x\| + \|2x+3\| > 2x + 4 then ?
Answer» If \|x-1\| - \|x\| + \|2x+3\| $>$ 2x + 4 then ?

Discussion

4982.	E and F are the points of trisection of the diagonal BD of parallelogram ABCD of area 90 sq. cm. Find Area □AECF
Answer» E and F are the points of trisection of the diagonal BD of parallelogram ABCD of area 90 sq. cm. Find Area $□ A E C F$

Discussion

4983.	What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?
Answer» What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?

Discussion

4984.	If this pattern continues, where would the number 289 appear?.
Answer» If this pattern continues, where would the number 289 appear?.

4984.

If this pattern continues, where would the number 289 appear?.

Answer»

If this pattern continues, where would the number 289 appear?.

Discussion

4985.	The A.M. of the price per kg of rice at 10 different places was Rs 4.85. after a week, the price per kg was increased by 20 paise at 3 places and decreased by 10 paise at one place.Find the new average of price per kg.
Answer» The A.M. of the price per kg of rice at 10 different places was Rs 4.85. after a week, the price per kg was increased by 20 paise at 3 places and decreased by 10 paise at one place.Find the new average of price per kg.

Discussion

4986.	The relation between A.M.(arithmetic mean), G.M.(geometric mean) and H.M. (harmonic mean ) of any two distinct positive numbers is
Answer» The relation between A.M.(arithmetic mean), G.M.(geometric mean) and H.M. (harmonic mean ) of any two distinct positive numbers is

Discussion

4987.	Find x : x−b−ca+x−c−ab+x−a−bc=3, if 1a+1b+1c≠0
Answer» $Find x : \frac{x - b - c}{a} + \frac{x - c - a}{b} + \frac{x - a - b}{c} = 3, if \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \neq 0$

Discussion

4988.	The sum of n terms of an A.P. is 3n2+5n. Mark a point which is 8cm away from its centre O, construct the tangent AB and AC. Measure the lengths of AB and AC.
Answer» The sum of n terms of an A.P. is $3 n^{2} + 5 n$ . Mark a point which is 8cm away from its centre O, construct the tangent AB and AC. Measure the lengths of AB and AC.

Discussion

4989.	S1,S2,S3....Sn is the sum of an infinite GP with first terms as 1,2,3....n and common ratios as 12,13....1n+1 then find S1+S2+S3....+Sn
Answer» $S_{1}, S_{2}, S_{3} . . . . S_{n}$ is the sum of an infinite GP with first terms as 1,2,3....n and common ratios as $\frac{1}{2}, \frac{1}{3} . . . . \frac{1}{n + 1}$ then find $S_{1} + S_{2} + S_{3} . . . . + S_{n}$

Discussion

4990.	Three cars started simultaneously from Ajmer to Benaras along the same highway. The second car travelled with a speed that was 10 km/h higher than the first car's speed and arrived at Benaras 1 hour earlier than the first car. The third car arrived at Benaras 33.33 minutes earlier than the first car, travelling half the time at the speed of the first car and the other half at the speed of the second car. Find the total distance covered by these three cars during their journey between Ajmer and Benaras.
Answer» Three cars started simultaneously from Ajmer to Benaras along the same highway. The second car travelled with a speed that was 10 km/h higher than the first car's speed and arrived at Benaras 1 hour earlier than the first car. The third car arrived at Benaras 33.33 minutes earlier than the first car, travelling half the time at the speed of the first car and the other half at the speed of the second car. Find the total distance covered by these three cars during their journey between Ajmer and Benaras.

Discussion

4991.	Consider a sequence where the nth term tn=n(n+2), n = 1, 2, 3... The value of t3×t4×t5×...×t53 equals:
Answer» Consider a sequence where the $n^{t h}$ term $t_{n} = \frac{n}{(n + 2)},$ n = 1, 2, 3... The value of $t_{3} \times t_{4} \times t_{5} \times . . . \times t_{53}$ equals:

Discussion

4992.	What is the difference between the percentage marks obtained by student C in English and the average percentage marks of all the six subjects?
Answer» What is the difference between the percentage marks obtained by student C in English and the average percentage marks of all the six subjects?

Discussion

4993.	How many cookies did uncle Prem give to Shyam?
Answer» How many cookies did uncle Prem give to Shyam?

Discussion

4994.	How many workers are required for completing the construction work in 10 days? 1. 20% of the work can be completed by 8 workers in 8 days 2. 20 workers can complete the work in 16 days 3. One-Eighth of the work can be completed by 8 workers in 5 days
Answer» How many workers are required for completing the construction work in 10 days? 1. 20% of the work can be completed by 8 workers in 8 days 2. 20 workers can complete the work in 16 days 3. One-Eighth of the work can be completed by 8 workers in 5 days

4994.

How many workers are required for completing the construction work in 10 days? 1. 20% of the work can be completed by 8 workers in 8 days 2. 20 workers can complete the work in 16 days 3. One-Eighth of the work can be completed by 8 workers in 5 days

Answer»

How many workers are required for completing the construction work in 10 days?

1. 20% of the work can be completed by 8 workers in 8 days

2. 20 workers can complete the work in 16 days

3. One-Eighth of the work can be completed by 8 workers in 5 days

Discussion

4995.	Ms. Jasmine likes to let her students choose who their partners will be; however, no pair of students may work together more than seven class periods in a row. "A” and "B” have studied together seven class periods in a row. "C” and "D” have worked together three class periods in a row. "C” does not want to work with "A”. Who should be assigned to work with "B”?
Answer» Ms. Jasmine likes to let her students choose who their partners will be; however, no pair of students may work together more than seven class periods in a row. "A” and "B” have studied together seven class periods in a row. "C” and "D” have worked together three class periods in a row. "C” does not want to work with "A”. Who should be assigned to work with "B”?

Discussion

4996.	Although about 99 percent of the more than 50 million Turks are Muslims, the republic founded by Mustafa Kemal Ataturk in 1923 is resolutely secular.
Answer» Although about 99 percent of the more than 50 million Turks are Muslims, the republic founded by Mustafa Kemal Ataturk in 1923 is resolutely secular.

Discussion

4997.	In a class,110 students like physics, 80 like chemistry, 120 like mathematics and 70 like English. 20 students like only physics, 15 like only chemistry, 30 like only mathematics and 15 like only English. What can be the maximum possible number of students in the class ?
Answer» In a class,110 students like physics, 80 like chemistry, 120 like mathematics and 70 like English. 20 students like only physics, 15 like only chemistry, 30 like only mathematics and 15 like only English. What can be the maximum possible number of students in the class ?

Discussion

4998.	Find the last two digits of the number 781456. ___
Answer» Find the last two digits of the number $781^{456}$ . ___

Discussion

4999.	John buys an old cycle for Rs. 1000 and spends Rs. 200 on its repairs. If he sells the cycle for Rs. 1500, his profit percent is:
Answer» John buys an old cycle for Rs. 1000 and spends Rs. 200 on its repairs. If he sells the cycle for Rs. 1500, his profit percent is:

Discussion

5000.	Q50)Consider the following matrix- Select a suitable figure from the four alternatives that would complete the figure matrix-
Answer» Q50)Consider the following matrix- Select a suitable figure from the four alternatives that would complete the figure matrix-

5000.

Q50)Consider the following matrix- Select a suitable figure from the four alternatives that would complete the figure matrix-

Answer»

Q50)Consider the following matrix-

Select a suitable figure from the four alternatives that would complete the figure matrix-

Discussion

Explore topic-wise InterviewSolutions in .

If U is placed in window number 5, then which of the following products must be placed in window number 6?

A train consists of 12 bogies, each bogie being 18 metre long. The train crosses a tree in 18 seconds. Due to some reasons, two bogies were detached. In how much time will the train now cross the tree?

A man and a train are ‘l’ meters apart and the speed of the train and man is ‘v’ m/s and ‘v’ kmph. If both are travelling in opposite direction, the distance covered by the man before he meets the train is

If the XAT centre of 4 students can be any one of the 7 cities, then calculate the probability that all the 4 students get any one of exactly 2 centres.

A sum of money is invested at 10% per annum compounded half-yearly. If the difference of the amounts at the end of 6 months and 12 months is Rs 189, find the sum of money invested.

In the following question, two equations numbered I and II are given. You have to solve both the equations and choose the appropriate answer.

A boy was flying a kite which was at a height of 40m just above a tree. The string was 50m long. How far away from the tree was the boy flying the kite?undefinedundefinedundefinedundefined

DE : : 10 : : HI : ?

How many different pairs (a,b) of positive integers are there such taht a≤b and 1a+1b=19? ___

All the 6 sides of a cube are colored. Now this cube is broken into smaller cubes, witheach side 14 the size of the side of the larger cube. How many of the smaller cubes will have all three sides colored?

Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ...10}. Then the probability that |x - y| &gt; 5 is:

In an automated plant assembly line, the rate of rejection of components was 10% on July 1st and 6% on July 2nd . The combined rate of rejection for the two days was 9%. The ratio of production volumes on July 1st and on July 2nd is

Find the value of a if the roots of the equation x2−2ax+27=0 are α,3α and α&gt; 0

Find the remainder when 40! is divided by 41. ___

The remainder obtained when the sum of first 21 natural numbers is divided by 8 is

Suppose f(x)=(x+1)2 for x≥1. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to the line y = x, then g(x) equals:

How many trainees at Robinsons were absorbed as employees by end of 2007? ___

Explain this table Choice of terms in AP: No. of termsTermsCommon difference3a−d,a,a+dd4a−3d,a−d,a+d,a+3d2d5a−2d,a−d,a,a+d,a+2dd6a−5d,a−3d,a−d,a+d a+3d,a+5d2d

Find positive integers such that when 6 is subtracted from 5 times the integer, the resulting number cannot be greater than 4 times the integer.

Question 21 ___ is a reduction on the marked price of the article.

In order that graph of y=3x2−4x+2m crosses the x-axis in two distinct points, the value of 'm' must be such that :

You are given a sphere of radius 2 cm. If you are asked to select a best suited spring balnce to determine its weight, then out of the following which one would you prefer? The sphere is made of an alloy of density 7×103kgm−3.

The area of cross section of two cylinders of a Hydraulic press are 10 cm2 and 50 cm2 respectively. In order to move up a weight of 100 N placed on the piston of larger area of the press, force supplied on the piston of smaller area is (y×10) Newton. Find 'y'.

Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B=90∘. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.

In the adjoining diagram given that BC = CD. Then what is the value of x.

If |x-1| - |x| + |2x+3| &gt; 2x + 4 then ?

E and F are the points of trisection of the diagonal BD of parallelogram ABCD of area 90 sq. cm. Find Area □AECF

What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?

If this pattern continues, where would the number 289 appear?.

The A.M. of the price per kg of rice at 10 different places was Rs 4.85. after a week, the price per kg was increased by 20 paise at 3 places and decreased by 10 paise at one place.Find the new average of price per kg.

The relation between A.M.(arithmetic mean), G.M.(geometric mean) and H.M. (harmonic mean ) of any two distinct positive numbers is

Find x : x−b−ca+x−c−ab+x−a−bc=3, if 1a+1b+1c≠0

The sum of n terms of an A.P. is 3n2+5n. Mark a point which is 8cm away from its centre O, construct the tangent AB and AC. Measure the lengths of AB and AC.

S1,S2,S3....Sn is the sum of an infinite GP with first terms as 1,2,3....n and common ratios as 12,13....1n+1 then find S1+S2+S3....+Sn

Consider a sequence where the nth term tn=n(n+2), n = 1, 2, 3... The value of t3×t4×t5×...×t53 equals:

What is the difference between the percentage marks obtained by student C in English and the average percentage marks of all the six subjects?

How many cookies did uncle Prem give to Shyam?

How many workers are required for completing the construction work in 10 days? 1. 20% of the work can be completed by 8 workers in 8 days 2. 20 workers can complete the work in 16 days 3. One-Eighth of the work can be completed by 8 workers in 5 days

Although about 99 percent of the more than 50 million Turks are Muslims, the republic founded by Mustafa Kemal Ataturk in 1923 is resolutely secular.

In a class,110 students like physics, 80 like chemistry, 120 like mathematics and 70 like English. 20 students like only physics, 15 like only chemistry, 30 like only mathematics and 15 like only English. What can be the maximum possible number of students in the class ?

Find the last two digits of the number 781456. ___

John buys an old cycle for Rs. 1000 and spends Rs. 200 on its repairs. If he sells the cycle for Rs. 1500, his profit percent is:

Q50)Consider the following matrix- Select a suitable figure from the four alternatives that would complete the figure matrix-

Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ...10}. Then the probability that |x - y| > 5 is:

Find the value of a if the roots of the equation x2−2ax+27=0 are α,3α and α> 0

If |x-1| - |x| + |2x+3| > 2x + 4 then ?