5411 + Interview Questions in Quantitative Aptitude Page 5 InterviewSolution

201.	For the given equation x12+x10−x9+x7−x6+x5+x4−x2+x−2=0, how many maximum imaginary roots are possible?___
Answer» For the given equation $x^{12} + x^{10} - x^{9} + x^{7} - x^{6} + x^{5} + x^{4} - x^{2} + x - 2 = 0$ , how many maximum imaginary roots are possible?___

Discussion

202.	Use factor theorem to prove that (x + a) is a factor of (xn + an) for any odd positive integer.
Answer» Use factor theorem to prove that (x + a) is a factor of (xⁿ+ aⁿ) for any odd positive integer.

Discussion

203.	Prove that there is one and only one circle passing through three given non-collinear points.
Answer» Prove that there is one and only one circle passing through three given non-collinear points.

Discussion

204.	For the set P={a,b,c,{d,e}} tap on the bubbles having correct expressions related to the set P.
Answer» For the set $P = {a, b, c, {d, e}}$ tap on the bubbles having correct expressions related to the set $P .$

Discussion

205.	8. Let L be the set of all straight lines in a plane. land /2 are two lines in the set. R,, R2 and R3 aredefined relations() 4,R2: /, is parallel to2(ü) 4,R2/2 4 is perpendicular to /2(ii) 4,Ral2 intersects 2132Then which of the following is true'?(1) R, R2 and R3 are equivalence(2) R, is equivalence(3) R2 and R3 are reflexive(4) R, R2 and R3 are not symmetric
Answer» 8. Let L be the set of all straight lines in a plane. land /2 are two lines in the set. R,, R2 and R3 aredefined relations() 4,R2: /, is parallel to2(ü) 4,R2/2 4 is perpendicular to /2(ii) 4,Ral2 intersects 2132Then which of the following is true'?(1) R, R2 and R3 are equivalence(2) R, is equivalence(3) R2 and R3 are reflexive(4) R, R2 and R3 are not symmetric

Discussion

206.	Find the value of `x' in the figure below.
Answer» Find the value of `x' in the figure below.

206.

Find the value of `x' in the figure below.

Answer»

Find the value of `x' in the figure below.

Discussion

207.	The system of competitive examination for civil service was accepted in principle in the year
Answer» The system of competitive examination for civil service was accepted in principle in the year

Discussion

208.	The remainder when f(x) = x45 is divided by x2 – 1 is ____________.
Answer» The remainder when f(x) = x⁴⁵ is divided by x² – 1 is ____________.

Discussion

209.	Mark the correct alternative in each of the following:514-313=(a) 1223 (b) 2 (c) 11112 (d) 1112
Answer» Mark the correct alternative in each of the following: $(5 \frac{1}{4} - 3 \frac{1}{3}) =$ (a) $\frac{12}{23}$ (b) 2 (c) $1 \frac{11}{12}$ (d) $\frac{11}{12}$

Discussion

210.	A shopkeeper bought 15 kg of rice at the rate of ₹29/kg and 25kg of another type of rice at the rate of ₹20/kg. If, he sells the mixture of both types of rice at the rate of ₹27/kg, find his profit.
Answer» A shopkeeper bought 15 kg of rice at the rate of ₹29/kg and 25kg of another type of rice at the rate of ₹20/kg. If, he sells the mixture of both types of rice at the rate of ₹27/kg, find his profit.

Discussion

211.	A= 2i + 3j - k, B= 4i + 2j - 2k, Find a vector x parallel to A but has the magnitude of B ?
Answer» A= 2i + 3j - k, B= 4i + 2j - 2k, Find a vector x parallel to A but has the magnitude of B ?

Discussion

212.	A black and a red dice are rolled. The conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5 is:
Answer» A black and a red dice are rolled. The conditional probability of obtaining a sum greater than $9$ , given that the black die resulted in a $5$ is:

Discussion

213.	Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?
Answer» Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?

Discussion

214.	a number when divided by 143 leaves 31 as remainder . what wiill be the remainder when the same number divided by 1
Answer» a number when divided by 143 leaves 31 as remainder . what wiill be the remainder when the same number divided by 1

Discussion

215.	Q51. Rahul and Sanjay ran 100 m in 11.25 and 12.5 seconds, respectively. If they start together, find how far was Sanjay from the finish time when Rahul completed his 100 m?
Answer» Q51. Rahul and Sanjay ran 100 m in 11.25 and 12.5 seconds, respectively. If they start together, find how far was Sanjay from the finish time when Rahul completed his 100 m?

Discussion

216.	The sum of angles of a polygon having 5 sides is -
Answer» The sum of angles of a polygon having 5 sides is -

Discussion

217.	In trapezium ABCD, AB is parallel to DC and given that AB = AD = BC = 13 cm and CD = 23 cm. Find the area of the trapezium.
Answer» In trapezium ABCD, AB is parallel to DC and given that AB = AD = BC = 13 cm and CD = 23 cm. Find the area of the trapezium.

Discussion

218.	Find the next number in the series. 109, 811, 910, 712, ?
Answer» Find the next number in the series. 10 $^{9}$ , 8 $^{11}$ , 9 $^{10}$ , 7 $^{12}$ , ?

218.

Find the next number in the series. 109, 811, 910, 712, ?

Answer»

Find the next number in the series.

10 $^{9}$ , 8 $^{11}$ , 9 $^{10}$ , 7 $^{12}$ , ?

Discussion

219.	Directions: Coach Johan sat with the scorecards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen go out. John summarised the batting performance through three figures, one for each game. In each figure, the three outer triangles communicate the number of runs scored by the three top scorers from India. K, R, S, V and Y represent Kaif, Rahul, Saurav, Virender and Yuvraj, respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number if his scores are arranged in a non-increasing order. Batting performance of five Indian Batsmen in three games of One-day International Cricket Tournament. How many players among those listed definitely scored less than Yuvraj in the tournament?
Answer» Directions: Coach Johan sat with the scorecards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen go out. John summarised the batting performance through three figures, one for each game. In each figure, the three outer triangles communicate the number of runs scored by the three top scorers from India. K, R, S, V and Y represent Kaif, Rahul, Saurav, Virender and Yuvraj, respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournament; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number if his scores are arranged in a non-increasing order. Batting performance of five Indian Batsmen in three games of One-day International Cricket Tournament. How many players among those listed definitely scored less than Yuvraj in the tournament?

Discussion

220.	Sum to n terms of the series log m+log m2n+log m3n2+log m4n3…… is
Answer» Sum to n terms of the series $l o g m + l o g \frac{m^{2}}{n} + l o g \frac{m^{3}}{n^{2}} + l o g \frac{m^{4}}{n^{3}} \dots \dots$ is

Discussion

221.	If W=X/Y let error in X is 10% and in Y is -10% find percentage error in W
Answer» If W=X/Y let error in X is 10% and in Y is -10% find percentage error in W

Discussion

222.	SHOW THAT:(n²-1) is divisible by 24, if n is prime and n≥5.
Answer» SHOW THAT:(n²-1) is divisible by 24, if n is prime and n≥5.

Discussion

223.	How many oranges does the fruit seller have? 4
Answer» How many oranges does the fruit seller have? 4

Discussion

224.	Which of the following statements is not true?
Answer» Which of the following statements is not true?

Discussion

225.	Out of a number of electronic items, Rohit purchases 60% colored T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs is : Please explain how this is to be solved.
Answer» Out of a number of electronic items, Rohit purchases 60% colored T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs is : Please explain how this is to be solved.

225.

Out of a number of electronic items, Rohit purchases 60% colored T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs is : Please explain how this is to be solved.

Answer»

Out of a number of electronic items, Rohit purchases 60% colored T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs is :

Please explain how this is to be solved.

Discussion

226.	Two concentric circles, shown in the given figure, have a common centre O.A line l int the outer circle at A and B and the inner circle at C and D. If AB =x and CD =y, Prove AC =BD =12(x−y)
Answer» Two concentric circles, shown in the given figure, have a common centre O.A line l int the outer circle at A and B and the inner circle at C and D. If AB =x and CD =y, Prove AC =BD = $\frac{1}{2} (x - y)$

Discussion

227.	48. A shopkeeper sells a Saree at 8% profit and a sweeter at 10% discount, thereby getting a sum of rs 1008. If she had sold a Saree at 10% profit and the sweater at 8%discount she would have got rs 1028 . Find the cost price of Saree and the list price (price before discount) of the sweater.
Answer» 48. A shopkeeper sells a Saree at 8% profit and a sweeter at 10% discount, thereby getting a sum of rs 1008. If she had sold a Saree at 10% profit and the sweater at 8%discount she would have got rs 1028 . Find the cost price of Saree and the list price (price before discount) of the sweater.

Discussion

228.

Fill in the blanks in the table. Principal Rate of interest (p.c.p.a.) Time Interest Amount (i) 4200 7% 3 years ...... ...... (ii) ...... 6% 4 years 1200 ...... (iii) 8000 5% ...... 800 ...... (iv) ...... 5% ...... 6000 18000 (v) ...... 212% 5 years 2400 ......

Answer» Fill in the blanks in the table.

	Principal	Rate of interest (p.c.p.a.)	Time	Interest	Amount
(i)	4200	7%	3 years	......	......
(ii)	......	6%	4 years	1200	......
(iii)	8000	5%	......	800	......
(iv)	......	5%	......	6000	18000
(v)	......	$2 \frac{1}{2} %$	5 years	2400	......

Discussion

229.	A group of college students decide to contribute equally to the purchase of a Rs. 36 gift for their friend. How many people are in the group? (1) The number of people in the group is equal to the size of each person's contribution, in rupees. (2) If three more people joined the group, each person's individual contribution would fall by Rs.2.
Answer» A group of college students decide to contribute equally to the purchase of a Rs. 36 gift for their friend. How many people are in the group? (1) The number of people in the group is equal to the size of each person's contribution, in rupees. (2) If three more people joined the group, each person's individual contribution would fall by Rs.2.

Discussion

230.	Parts exiting an assembly line are inspected and categorized as good or bad (defective). In a batch of 100 parts, 8 were found to be defective.What is the probability that a part drawn at random is defective?
Answer» Parts exiting an assembly line are inspected and categorized as good or bad (defective). In a batch of 100 parts, 8 were found to be defective. What is the probability that a part drawn at random is defective?

Discussion

231.	Which of the following will be the sum of n positive numbers, given that their product is unity?
Answer» Which of the following will be the sum of n positive numbers, given that their product is unity?

Discussion

232.	What are the limits of 2n(n+1)nnn ; where n is a positve integer ?
Answer» What are the limits of $\frac{2^{n} (n + 1)^{n}}{n^{n}}$ ; where n is a positve integer ?

Discussion

233.	24.the area of triangle formed by the line
Answer» 24.the area of triangle formed by the line

Discussion

234.	Pranali and Prasad started walking to the East and to the North respectively, from the same point and at the same speed. After 2 hours distance between them was 152 km. Find their speed per hour.
Answer» Pranali and Prasad started walking to the East and to the North respectively, from the same point and at the same speed. After 2 hours distance between them was $15 \sqrt{2}$ km. Find their speed per hour.

Discussion

235.	For all n≥1, prove that 12+22+32+42+…+n2=n(n+1)(2n+1)6
Answer» For all $n \geq 1$ , prove that $1^{2} + 2^{2} + 3^{2} + 4^{2} + \dots + n^{2} = \frac{n (n + 1) (2 n + 1)}{6}$

Discussion

236.	Show that if one of the circle x2+y2+2gx+c=0 and x2+y2+2ax+c=0 lies within the other then &quotag&quotand c are both positive .
Answer» Show that if one of the circle x2+y2+2gx+c=0 and x2+y2+2ax+c=0 lies within the other then "ag"and c are both positive .

Discussion

237.	Find the remainder when 1373+185 is divided by 11.
Answer» Find the remainder when $13^{73} + 18^{5}$ is divided by 11.

Discussion

238.	56.if a is the AM between b and c, b the GM between a and c, then show that 1/a, 1/c, 1/b are in AP.
Answer» 56.if a is the AM between b and c, b the GM between a and c, then show that 1/a, 1/c, 1/b are in AP.

Discussion

239.	Who finished runner up in Psychometric test?
Answer» Who finished runner up in Psychometric test?

Discussion

240.	Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word ROSE, where the repetition of the letters is not allowed.
Answer» Find the number of $4$ letter words, with or without meaning, which can be formed out of the letters of the word $ROSE,$ where the repetition of the letters is not allowed.

Discussion

241.	In a triangle ABC a circle is inscribed sides of ABC are touching thecircle externallyatP Q R .IF AP=4cm BP=6cm AC=12cm then find radius of circl
Answer» In a triangle ABC a circle is inscribed sides of ABC are touching thecircle externallyatP Q R .IF AP=4cm BP=6cm AC=12cm then find radius of circl

Discussion

242.	If a woman is 74 years old on her 52nd anniversary, how old was she when she got married?
Answer» If a woman is 74 years old on her 52nd anniversary, how old was she when she got married?

Discussion

243.	If z=x+iy and \|z1\|+\|z+1\|=4, then determine the position of z at complex plane.
Answer» If z=x+iy and \|z1\|+\|z+1\|=4, then determine the position of z at complex plane.

Discussion

244.	Find the common difference of an AP whose first term is 1 and the sum of the first four terms is one -third to the sum of the next four terms.
Answer» Find the common difference of an AP whose first term is 1 and the sum of the first four terms is one -third to the sum of the next four terms.

Discussion

245.	Let f : R → R and g : R → R be functions defined by f(x) = 5 – x2 and g(x) = 3x – 4. Then the value of fog (–1) is ___________.
Answer» Let f : R → R and g : R → R be functions defined by f(x) = 5 – x² and g(x) = 3x – 4. Then the value of fog (–1) is ___________.

Discussion

246.	If (127)8+(12)6=(x)5, find the value of x.
Answer» If $(127)_{8} + (12)_{6} = (x)_{5}$ , find the value of x.

Discussion

247.	What is the approximate integral percentage of marks obtained by Umesh in all the subjects?
Answer» What is the approximate integral percentage of marks obtained by Umesh in all the subjects?

Discussion

248.	The ratio of the budgeted amount for Applied Research by the Defence to the budgeted amount for Development by sectors other than Defence is
Answer» The ratio of the budgeted amount for Applied Research by the Defence to the budgeted amount for Development by sectors other than Defence is

Discussion

249.	The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs. 4290 for the table, then its manufacturing cost (in Rs) is
Answer» The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs. 4290 for the table, then its manufacturing cost (in Rs) is

Discussion

250.	If (-5,4) and (5,4) are the vertices of an equilateral triangle, then find the area and coordinates of the first vertex, gven that the origin lies in the interior of the triangle.
Answer» If (-5,4) and (5,4) are the vertices of an equilateral triangle, then find the area and coordinates of the first vertex, gven that the origin lies in the interior of the triangle.

Discussion

Explore topic-wise InterviewSolutions in .

For the given equation x12+x10−x9+x7−x6+x5+x4−x2+x−2=0, how many maximum imaginary roots are possible?___

Use factor theorem to prove that (x + a) is a factor of (xn + an) for any odd positive integer.

Prove that there is one and only one circle passing through three given non-collinear points.

For the set P={a,b,c,{d,e}} tap on the bubbles having correct expressions related to the set P.

Find the value of `x' in the figure below.

The system of competitive examination for civil service was accepted in principle in the year

The remainder when f(x) = x45 is divided by x2 – 1 is ____________.

Mark the correct alternative in each of the following:514-313=(a) 1223 (b) 2 (c) 11112 (d) 1112

A shopkeeper bought 15 kg of rice at the rate of ₹29/kg and 25kg of another type of rice at the rate of ₹20/kg. If, he sells the mixture of both types of rice at the rate of ₹27/kg, find his profit.

A= 2i + 3j - k, B= 4i + 2j - 2k, Find a vector x parallel to A but has the magnitude of B ?

A black and a red dice are rolled. The conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5 is:

Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?

a number when divided by 143 leaves 31 as remainder . what wiill be the remainder when the same number divided by 1

Q51. Rahul and Sanjay ran 100 m in 11.25 and 12.5 seconds, respectively. If they start together, find how far was Sanjay from the finish time when Rahul completed his 100 m?

The sum of angles of a polygon having 5 sides is -

In trapezium ABCD, AB is parallel to DC and given that AB = AD = BC = 13 cm and CD = 23 cm. Find the area of the trapezium.

Find the next number in the series. 109, 811, 910, 712, ?

Sum to n terms of the series log m+log m2n+log m3n2+log m4n3…… is

If W=X/Y let error in X is 10% and in Y is -10% find percentage error in W

SHOW THAT:(n²-1) is divisible by 24, if n is prime and n≥5.

How many oranges does the fruit seller have? 4

Which of the following statements is not true?

Out of a number of electronic items, Rohit purchases 60% colored T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs is : Please explain how this is to be solved.

Two concentric circles, shown in the given figure, have a common centre O.A line l int the outer circle at A and B and the inner circle at C and D. If AB =x and CD =y, Prove AC =BD =12(x−y)

48. A shopkeeper sells a Saree at 8% profit and a sweeter at 10% discount, thereby getting a sum of rs 1008. If she had sold a Saree at 10% profit and the sweater at 8%discount she would have got rs 1028 . Find the cost price of Saree and the list price (price before discount) of the sweater.

Fill in the blanks in the table. Principal Rate of interest (p.c.p.a.) Time Interest Amount (i) 4200 7% 3 years ...... ...... (ii) ...... 6% 4 years 1200 ...... (iii) 8000 5% ...... 800 ...... (iv) ...... 5% ...... 6000 18000 (v) ...... 212% 5 years 2400 ......

Parts exiting an assembly line are inspected and categorized as good or bad (defective). In a batch of 100 parts, 8 were found to be defective.What is the probability that a part drawn at random is defective?

Which of the following will be the sum of n positive numbers, given that their product is unity?

What are the limits of 2n(n+1)nnn ; where n is a positve integer ?

24.the area of triangle formed by the line

Pranali and Prasad started walking to the East and to the North respectively, from the same point and at the same speed. After 2 hours distance between them was 152 km. Find their speed per hour.

For all n≥1, prove that 12+22+32+42+…+n2=n(n+1)(2n+1)6

Show that if one of the circle x2+y2+2gx+c=0 and x2+y2+2ax+c=0 lies within the other then &quotag&quotand c are both positive .

Find the remainder when 1373+185 is divided by 11.

56.if a is the AM between b and c, b the GM between a and c, then show that 1/a, 1/c, 1/b are in AP.

Who finished runner up in Psychometric test?

Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word ROSE, where the repetition of the letters is not allowed.

In a triangle ABC a circle is inscribed sides of ABC are touching thecircle externallyatP Q R .IF AP=4cm BP=6cm AC=12cm then find radius of circl

If a woman is 74 years old on her 52nd anniversary, how old was she when she got married?

If z=x+iy and |z1|+|z+1|=4, then determine the position of z at complex plane.

Find the common difference of an AP whose first term is 1 and the sum of the first four terms is one -third to the sum of the next four terms.

Let f : R → R and g : R → R be functions defined by f(x) = 5 – x2 and g(x) = 3x – 4. Then the value of fog (–1) is ___________.

If (127)8+(12)6=(x)5, find the value of x.

What is the approximate integral percentage of marks obtained by Umesh in all the subjects?

The ratio of the budgeted amount for Applied Research by the Defence to the budgeted amount for Development by sectors other than Defence is

The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30%. Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs. 4290 for the table, then its manufacturing cost (in Rs) is

If (-5,4) and (5,4) are the vertices of an equilateral triangle, then find the area and coordinates of the first vertex, gven that the origin lies in the interior of the triangle.