5411 + Interview Questions in Quantitative Aptitude Page 93 InterviewSolution

4601.	In the figure find b in terms of a c & d.
Answer» In the figure find b in terms of a c & d.

Discussion

4602.	If 35ab=345673 where a and b are both positive integers, then how many different values can b take?
Answer» If $35^{a} b = 3^{4} 5^{6} 7^{3}$ where a and b are both positive integers, then how many different values can b take?

Discussion

4603.	Find the last digit of 72009.___
Answer» Find the last digit of $7^{2009}$ .___

Discussion

4604.	In which of the years from 1999 to 2004, did the maximum number of employees join the company?___
Answer» In which of the years from 1999 to 2004, did the maximum number of employees join the company?___

Discussion

4605.	How many solutions are there for the equation A+B+3C = 10 if A,B,C are whole numbers?
Answer» How many solutions are there for the equation A+B+3C = 10 if A,B,C are whole numbers?

Discussion

4606.	Find the area of quadrilateral formed by joining the points (-4, 2), (1,-1)(4, 1) and (2,5):
Answer» Find the area of quadrilateral formed by joining the points (-4, 2), (1,-1)(4, 1) and (2,5):

Discussion

4607.	If the organizers want to ensure that all participants travelling from S to T take the same time (travelling time and task time combined) regardless of the route they choose and the street from B to C is under repairs (and hence unusable), then a feasible set of task time (in hours) at junctions A, B, C, and D respectively to achieve this goal is:
Answer» If the organizers want to ensure that all participants travelling from S to T take the same time (travelling time and task time combined) regardless of the route they choose and the street from B to C is under repairs (and hence unusable), then a feasible set of task time (in hours) at junctions A, B, C, and D respectively to achieve this goal is:

Discussion

4608.	XT , YT and SR are tangents to the circle. O is the centre of the circle. PQRS is a rectangle. If ∠RTS=30∘, the value of ∠POQ is ___
Answer» XT , YT and SR are tangents to the circle. O is the centre of the circle. PQRS is a rectangle. If $∠ R T S = 30^{\circ}$ , the value of $∠ P O Q$ is ___

Discussion

4609.	Find the next number in the sequence. 121, 225, 361, __
Answer» Find the next number in the sequence. 121, 225, 361, __

4609.

Find the next number in the sequence. 121, 225, 361, __

Answer»

Find the next number in the sequence.

121, 225, 361, __

Discussion

4610.	Ravi was facing East. He walked 5 km forward and then after turning to his right walked 4 km. Again he turned to his right and walked 4 km. Again he turned to his right and walked 5 km. After this, he turned back. Which direction was he facing at that time?
Answer» Ravi was facing East. He walked 5 km forward and then after turning to his right walked 4 km. Again he turned to his right and walked 4 km. Again he turned to his right and walked 5 km. After this, he turned back. Which direction was he facing at that time?

Discussion

4611.	If a bike rider starts at 14 kmph and he increases his speed in every 3 hours by 4 kmph (speed increases instantaneously after 3 hrs and then remains constant for the next 3 hrs), then what is the time taken by the bike rider to cover 250 km?
Answer» If a bike rider starts at 14 kmph and he increases his speed in every 3 hours by 4 kmph (speed increases instantaneously after 3 hrs and then remains constant for the next 3 hrs), then what is the time taken by the bike rider to cover 250 km?

Discussion

4612.	A man visited a pet shop, and found only cats and birds. He counted a total of 200 heads and 580 legs. How many birds are there in the pet shop?
Answer» A man visited a pet shop, and found only cats and birds. He counted a total of 200 heads and 580 legs. How many birds are there in the pet shop?

Discussion

4613.	Rashi went on shopping with her mother. There she saw a toy whose selling price was Rs 200. The shopkeeper sells it at a discount of 20%. The shopkeeper still makes a profit of 60%. Find the cost price of the toy. [4 MARKS]
Answer» Rashi went on shopping with her mother. There she saw a toy whose selling price was Rs 200. The shopkeeper sells it at a discount of 20%. The shopkeeper still makes a profit of 60%. Find the cost price of the toy. [4 MARKS]

Discussion

4614.	In a code language - 'Pi Mo Se' means 'Rose That Bound' and 'Mo Ar Tu Se' means 'Well Bound Shine Rose'. Which code represents 'That' in the given code language?
Answer» In a code language - 'Pi Mo Se' means 'Rose That Bound' and 'Mo Ar Tu Se' means 'Well Bound Shine Rose'. Which code represents 'That' in the given code language?

Discussion

4615.	What is range of x2+5
Answer» What is range of $x^{2} + 5$

Discussion

4616.	f(x) = x3 + x + 5 g(x) = x2 + 9 + 1x find fog/gof for x = 1?
Answer» f(x) = $x^{3}$ + x + 5 g(x) = $x^{2}$ + 9 + $\frac{1}{x}$ find fog/gof for x = 1?

Discussion

4617.	The centroid of the triangle ABC where A=(2,3), B=(8,10) and C=(5,5) is
Answer» The centroid of the triangle ABC where A=(2,3), B=(8,10) and C=(5,5) is

Discussion

4618.	If α,β are the roots of the equation x2−px+q=0, then the quadratic equation whose roots are (α2−β2)(α3−β3) and (α3β2+α2β3):
Answer» If $α, β$ are the roots of the equation $x^{2} - p x + q = 0$ , then the quadratic equation whose roots are $(α^{2} - β^{2}) (α^{3} - β^{3})$ and $(α^{3} β^{2} + α^{2} β^{3})$ :

Discussion

4619.	Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements. Statements : Some towns are villages. Some villages are lanes. Some lanes are hamlets. Conclusions : I. Some hamlets are villages. II. Some lanes are towns. III. Some hamlets are towns.
Answer» Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements. Statements : Some towns are villages. Some villages are lanes. Some lanes are hamlets. Conclusions : I. Some hamlets are villages. II. Some lanes are towns. III. Some hamlets are towns.

Discussion

4620.	1 + 0.5 + 0.25 + 0.125 + …. up to infinite terms = _____________.___
Answer» 1 + 0.5 + 0.25 + 0.125 + …. up to infinite terms = _____________. ___

Discussion

4621.	The probability that A can solve a problem is 35, for B it is 25. What is the probability of problem being solved when both of them attempt the problem together?
Answer» The probability that A can solve a problem is $\frac{3}{5}$ , for B it is $\frac{2}{5}$ . What is the probability of problem being solved when both of them attempt the problem together?

Discussion

4622.	In the given figure, O is the centre of the circle. Find the value of x.
Answer» In the given figure, O is the centre of the circle. Find the value of x.

Discussion

4623.	Consider the following statements with regards to inflation indexed bonds (IIBs). Which of the above statements are NOT correct?
Answer» Consider the following statements with regards to inflation indexed bonds (IIBs). Which of the above statements are NOT correct?

4623.

Consider the following statements with regards to inflation indexed bonds (IIBs). Which of the above statements are NOT correct?

Answer»

Consider the following statements with regards to inflation indexed bonds (IIBs).

Which of the above statements are NOT correct?

Discussion

4624.	The number of ways in which any four letters can be selected from the word 'CORGOO' is_______.
Answer» The number of ways in which any four letters can be selected from the word 'CORGOO' is_______.

Discussion

4625.	In the table below is the list of teams, ranked from highest (#1) to lowest (#32), which are due to play in the Football World Cup. This tournament has four knockout rounds before the final, i.e. first round, second round, quarterfinals, and semifinals. In the first round, the highest ranked team plays the lowest ranked team (#32) which is designated as match no 1 of the first round; the second-ranked team plays the 31st ranked team which is designated as match no 2 of the first round, and so on. Thus, for instance, match number 16 is to be played between the 16th ranked team and 17th ranked team. In the second round, winner of match 1 of first round plays the winner of the match no 16 of the first round and is designated match 1 of the second round. Similarly, the winner of the match no 2 of first round plays the winner of the match no 15th of the first round and is designated as the 2nd match of the second round. Thus, for instance, match no 8 of the second round is to be played between the winner of match No.8 of the first round and the winner of match No.9 of the first round. The same pattern is followed for later rounds as well. RANK TEAMRANK TEAMRANK TEAM1Brazil12Cameroon23Croatia2Italy13Switzerland24Guinea3Argentina14Uruguay25Ghana4France15Ukraine26Romania5England16USA27Turkey6Netherlands17Denmark28Ecuador7Spain18Mexico29Egypt8Portugal19Paraguay30Poland9Germany20Coted′Ivoire31Tunisia10Czech R21Colombia32Greece11Nigeria22Sweden If there are no surprise wins (a lower ranked team beating a higher ranked team) in the first round, and only match Nos. 6, 7, 8 of the second round result in upsets, then who would meet Italy in quarterfinals, in case Italy reaches quarterfinals?
Answer» In the table below is the list of teams, ranked from highest (#1) to lowest (#32), which are due to play in the Football World Cup. This tournament has four knockout rounds before the final, i.e. first round, second round, quarterfinals, and semifinals. In the first round, the highest ranked team plays the lowest ranked team (#32) which is designated as match no 1 of the first round; the second-ranked team plays the 31st ranked team which is designated as match no 2 of the first round, and so on. Thus, for instance, match number 16 is to be played between the 16th ranked team and 17th ranked team. In the second round, winner of match 1 of first round plays the winner of the match no 16 of the first round and is designated match 1 of the second round. Similarly, the winner of the match no 2 of first round plays the winner of the match no 15th of the first round and is designated as the 2nd match of the second round. Thus, for instance, match no 8 of the second round is to be played between the winner of match No.8 of the first round and the winner of match No.9 of the first round. The same pattern is followed for later rounds as well. $\begin{matrix} R A N K & T E A M & R A N K & T E A M & R A N K & T E A M 1 & B r a z i l & 12 & C a m e r o o n & 23 & C r o a t i a 2 & I t a l y & 13 & S w i t z e r l a n d & 24 & G u i n e a 3 & A r g e n t i n a & 14 & U r u g u a y & 25 & G h a n a 4 & F r a n c e & 15 & U k r a i n e & 26 & R o m a n i a 5 & E n g l a n d & 16 & U S A & 27 & T u r k e y 6 & N e t h e r l a n d s & 17 & D e n m a r k & 28 & E c u a d o r 7 & S p a i n & 18 & M e x i c o & 29 & E g y p t 8 & P o r t u g a l & 19 & P a r a g u a y & 30 & P o l a n d 9 & G e r m a n y & 20 & C o t e d^{'} I v o i r e & 31 & T u n i s i a 10 & C z e c h R & 21 & C o l o m b i a & 32 & G r e e c e 11 & N i g e r i a & 22 & S w e d e n \end{matrix}$ If there are no surprise wins (a lower ranked team beating a higher ranked team) in the first round, and only match Nos. 6, 7, 8 of the second round result in upsets, then who would meet Italy in quarterfinals, in case Italy reaches quarterfinals?

Discussion

4626.	How many arithmetic progression can have any 3 terms as 1,3,1000.
Answer» How many arithmetic progression can have any 3 terms as 1,3,1000.

Discussion

4627.	The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is?
Answer» The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is?

Discussion

4628.	The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number?
Answer» The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number?

Discussion

4629.	Which element is third to the right of ‘family; in Step V?
Answer» Which element is third to the right of ‘family; in Step V?

Discussion

4630.	If the roots of the equation x2−2ax+a2+a−3=0 are real and less than 3, then:
Answer» If the roots of the equation $x^{2} - 2 a x + a^{2} + a - 3 = 0$ are real and less than 3, then:

Discussion

4631.	How many teams in second round had the same score?
Answer» How many teams in second round had the same score?

Discussion

4632.	If the side lengths of a triangle are 7, 24 and 25, then the circum radius of a triangle is ___
Answer» If the side lengths of a triangle are 7, 24 and 25, then the circum radius of a triangle is ___

Discussion

4633.	The average age of 80 boys in a class is 15 yr. The average age of a group of 15 boys in the class is 16 yr and the average age of another 25 boys in the class is 14 yr. What is the average age of the remaining boys in the class?
Answer» The average age of 80 boys in a class is 15 yr. The average age of a group of 15 boys in the class is 16 yr and the average age of another 25 boys in the class is 14 yr. What is the average age of the remaining boys in the class?

Discussion

4634.	A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains 1212%. His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of 25%. What should be the ratio of quantities of rice mixed?
Answer» A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains $12 \frac{1}{2} %$ . His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of $25 %$ . What should be the ratio of quantities of rice mixed?

Discussion

4635.	In first 1000 natural numbers, how many numbers exists such that when divided by 11 leaves a remainder of 8?
Answer» In first 1000 natural numbers, how many numbers exists such that when divided by 11 leaves a remainder of 8?

Discussion

4636.	If 4800 vehicles were sold in Delhi, what was the total number of vehicles sold in Chennai?
Answer» If 4800 vehicles were sold in Delhi, what was the total number of vehicles sold in Chennai?

Discussion

4637.	If the integers m and n are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form 7m ? is divisible by 5 equals
Answer» If the integers m and n are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form 7 $^{m}$ ? is divisible by 5 equals

Discussion

4638.	Solve the following question to find the value of 'x' : 7x+4=25+4x
Answer» $Solve the following question to find the value of 'x' : 7x+4=25+4x$

Discussion

4639.	A lamp post is situated at the middle point m of the side ac of a triangular plot ABC with BC=7CM,CA=8M AND AB=9M. Lamp posts subtends an ∠15∘ at the point B. Determine the height of the lamppost.
Answer» A lamp post is situated at the middle point m of the side ac of a triangular plot ABC with BC=7CM,CA=8M AND AB=9M. Lamp posts subtends an $∠ 15^{\circ}$ at the point B. Determine the height of the lamppost.

Discussion

4640.	How many people like all the laptops?___
Answer» How many people like all the laptops?___

Discussion

4641.	Three balls of equal radius are placed such that they are touching each other. A fourth smaller ball is kept such that it touches the other three.Find the ratio of the radii of smaller to larger ball.
Answer» Three balls of equal radius are placed such that they are touching each other. A fourth smaller ball is kept such that it touches the other three.Find the ratio of the radii of smaller to larger ball.

Discussion

4642.	A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O,P,Q,R and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of these ingredients is O: 150, P:50, Q:200, R:500, S:100 For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?
Answer» A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O,P,Q,R and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of these ingredients is O: 150, P:50, Q:200, R:500, S:100 For a recuperating patient, the doctor recommended a diet containing $10 %$ minerals and at least $30 %$ protein. In how many different ways can we prepare this diet by mixing at least two ingredients?

4642.

A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O,P,Q,R and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of these ingredients is O: 150, P:50, Q:200, R:500, S:100 For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?

Answer»

A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain
specific purposes. It is considering a choice of 5 alternative ingredients (O,P,Q,R and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of these ingredients is O: 150, P:50, Q:200, R:500, S:100

For a recuperating patient, the doctor recommended a diet containing $10 %$ minerals and at least $30 %$ protein. In how many different ways can we prepare this diet by mixing at least two ingredients?

Discussion

4643.	A cyclic quadrilateral has one of its angles as 90 degrees. Also, its radius is 12.5 cm. The length of its diagonal is ___ cm.
Answer» A cyclic quadrilateral has one of its angles as 90 degrees. Also, its radius is 12.5 cm. The length of its diagonal is ___ cm.

Discussion

4644.	Q40. A certain sum of money doubles itself in 4 years at some rate of compound interest, compounded annually. At the same rate, it will amount to eight times of itself in
Answer» Q40. A certain sum of money doubles itself in 4 years at some rate of compound interest, compounded annually. At the same rate, it will amount to eight times of itself in

Discussion

4645.	While the population in Kolkata and Bangalore has been growing steadily towards that of the Delhi and Mumbai, the growth rate in Kolkata and Bangalore seems to be declining. Which of the following is the closest to the percent change in growth rate of 2006 (over 2005) relative to the growth rate of 2008 (over 2007) for Kolkata and Bangalore together?
Answer» While the population in Kolkata and Bangalore has been growing steadily towards that of the Delhi and Mumbai, the growth rate in Kolkata and Bangalore seems to be declining. Which of the following is the closest to the percent change in growth rate of 2006 (over 2005) relative to the growth rate of 2008 (over 2007) for Kolkata and Bangalore together?

Discussion

4646.	If xy+yx=−1 (x,y≠0), find the value of x3−y3
Answer» If $\frac{x}{y} + \frac{y}{x} = - 1 (x, y \neq 0)$ , find the value of $x^{3} - y^{3}$

Discussion

4647.	In a sequence, defined as Tn+1=Tn+Tn-1, if the 12th term is 144 and the 14th term is 377. What is the 15th term?
Answer» In a sequence, defined as T_n+1=T_n+T_n-1,if the 12^th term is 144 and the 14^th term is 377. What is the 15^th term?

Discussion

4648.	If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period?
Answer» If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period?

Discussion

4649.	To fill a tank, tubes P, Q and R take 10 minutes, 7.5 minutes and 6 minutes respectively. The time in minutes that the tubes together will take to fill the tank is:
Answer» To fill a tank, tubes P, Q and R take 10 minutes, 7.5 minutes and 6 minutes respectively. The time in minutes that the tubes together will take to fill the tank is:

Discussion

4650.	If the selling price per unit of product B is 527 then what is its profit percentage?
Answer» If the selling price per unit of product B is 527 then what is its profit percentage?

Discussion

Explore topic-wise InterviewSolutions in .

In the figure find b in terms of a c &amp; d.

If 35ab=345673 where a and b are both positive integers, then how many different values can b take?

Find the last digit of 72009.___

In which of the years from 1999 to 2004, did the maximum number of employees join the company?___

How many solutions are there for the equation A+B+3C = 10 if A,B,C are whole numbers?

Find the area of quadrilateral formed by joining the points (-4, 2), (1,-1)(4, 1) and (2,5):

XT , YT and SR are tangents to the circle. O is the centre of the circle. PQRS is a rectangle. If ∠RTS=30∘, the value of ∠POQ is ___

Find the next number in the sequence. 121, 225, 361, __

Ravi was facing East. He walked 5 km forward and then after turning to his right walked 4 km. Again he turned to his right and walked 4 km. Again he turned to his right and walked 5 km. After this, he turned back. Which direction was he facing at that time?

If a bike rider starts at 14 kmph and he increases his speed in every 3 hours by 4 kmph (speed increases instantaneously after 3 hrs and then remains constant for the next 3 hrs), then what is the time taken by the bike rider to cover 250 km?

A man visited a pet shop, and found only cats and birds. He counted a total of 200 heads and 580 legs. How many birds are there in the pet shop?

Rashi went on shopping with her mother. There she saw a toy whose selling price was Rs 200. The shopkeeper sells it at a discount of 20%. The shopkeeper still makes a profit of 60%. Find the cost price of the toy. [4 MARKS]

In a code language - 'Pi Mo Se' means 'Rose That Bound' and 'Mo Ar Tu Se' means 'Well Bound Shine Rose'. Which code represents 'That' in the given code language?

What is range of x2+5

f(x) = x3 + x + 5 g(x) = x2 + 9 + 1x find fog/gof for x = 1?

The centroid of the triangle ABC where A=(2,3), B=(8,10) and C=(5,5) is

If α,β are the roots of the equation x2−px+q=0, then the quadratic equation whose roots are (α2−β2)(α3−β3) and (α3β2+α2β3):

1 + 0.5 + 0.25 + 0.125 + …. up to infinite terms = _____________.___

The probability that A can solve a problem is 35, for B it is 25. What is the probability of problem being solved when both of them attempt the problem together?

In the given figure, O is the centre of the circle. Find the value of x.

Consider the following statements with regards to inflation indexed bonds (IIBs). Which of the above statements are NOT correct?

The number of ways in which any four letters can be selected from the word 'CORGOO' is_______.

How many arithmetic progression can have any 3 terms as 1,3,1000.

The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is?

The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number?

Which element is third to the right of ‘family; in Step V?

If the roots of the equation x2−2ax+a2+a−3=0 are real and less than 3, then:

How many teams in second round had the same score?

If the side lengths of a triangle are 7, 24 and 25, then the circum radius of a triangle is ___

The average age of 80 boys in a class is 15 yr. The average age of a group of 15 boys in the class is 16 yr and the average age of another 25 boys in the class is 14 yr. What is the average age of the remaining boys in the class?

A rice trader sells one type of rice at Rs 2.70 per kg and loses 10%. He sells another type of rice at 4.5/kg and gains 1212%. His objective is to mix these two types and sell the mixture at 3.95/kg and get a profit of 25%. What should be the ratio of quantities of rice mixed?

In first 1000 natural numbers, how many numbers exists such that when divided by 11 leaves a remainder of 8?

If 4800 vehicles were sold in Delhi, what was the total number of vehicles sold in Chennai?

If the integers m and n are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form 7m ? is divisible by 5 equals

Solve the following question to find the value of 'x' : 7x+4=25+4x

A lamp post is situated at the middle point m of the side ac of a triangular plot ABC with BC=7CM,CA=8M AND AB=9M. Lamp posts subtends an ∠15∘ at the point B. Determine the height of the lamppost.

How many people like all the laptops?___

Three balls of equal radius are placed such that they are touching each other. A fourth smaller ball is kept such that it touches the other three.Find the ratio of the radii of smaller to larger ball.

A cyclic quadrilateral has one of its angles as 90 degrees. Also, its radius is 12.5 cm. The length of its diagonal is ___ cm.

Q40. A certain sum of money doubles itself in 4 years at some rate of compound interest, compounded annually. At the same rate, it will amount to eight times of itself in

If xy+yx=−1 (x,y≠0), find the value of x3−y3

In a sequence, defined as Tn+1=Tn+Tn-1, if the 12th term is 144 and the 14th term is 377. What is the 15th term?

If 60,000 people watched CVO on a per day average in February 2006, then how many more people watched Zee Sports than Star Sports on a per day average for the same period?

To fill a tank, tubes P, Q and R take 10 minutes, 7.5 minutes and 6 minutes respectively. The time in minutes that the tubes together will take to fill the tank is:

If the selling price per unit of product B is 527 then what is its profit percentage?

In the figure find b in terms of a c & d.

1 + 0.5 + 0.25 + 0.125 + …. up to infinite terms = ___________._