5411 + Interview Questions in Quantitative Aptitude Page 51 InterviewSolution

2501.	In the adjoining figure, AD is a median of ΔABC and DE \|\| BA. Show that BE is also a median of ΔABC.
Answer» In the adjoining figure, AD is a median of $Δ A B C$ and DE \|\| BA. Show that BE is also a median of $Δ A B C$ .

Discussion

2502.	11.Find flux through the plane.
Answer» 11.Find flux through the plane.

Discussion

2503.	If a1+2a2+3a3=1, then what is the minimum value of 2a1+4a2+8a3?
Answer» If $a_{1} + 2 a_{2} + 3 a_{3} = 1$ , then what is the minimum value of $2^{a 1} + 4^{a 2} + 8^{a 3}$ ?

Discussion

2504.	Fourteen percent means fourteen out of every __________.
Answer» Fourteen percent means fourteen out of every __________.

Discussion

2505.	The number N =999.....9 consists of exactly 2018 nines. Compute the number N^3. How many nines are there in N^3.
Answer» The number N =999.....9 consists of exactly 2018 nines. Compute the number N^3. How many nines are there in N^3.

Discussion

2506.	a circle is inscribed within a quadrilateral ABCD touching sides AD,AB,BC, and CD at points P,Q,R and S respectively. if BC =14cm ,BQ=8cm and DC=18cm and AD\perp DC, then find the radius of thr circle
Answer» a circle is inscribed within a quadrilateral ABCD touching sides AD,AB,BC, and CD at points P,Q,R and S respectively. if BC =14cm ,BQ=8cm and DC=18cm and AD\perp DC, then find the radius of thr circle

Discussion

2507.	There is a triangular blade of sides 3, 4, 5. This is rotated along its 4 cm side to take out ice cream. Find the volume of ice cream.
Answer» There is a triangular blade of sides 3, 4, 5. This is rotated along its 4 cm side to take out ice cream. Find the volume of ice cream.

2507.

There is a triangular blade of sides 3, 4, 5. This is rotated along its 4 cm side to take out ice cream. Find the volume of ice cream.

Answer»

There is a triangular blade of sides 3, 4, 5. This is rotated along its 4 cm side to take out ice cream. Find the volume of ice cream.

Discussion

2508.	If BC \|\|EF and FG\|\|CD then, AEAB= _____.
Answer» $If B C \| \| E F and F G \| \| C D then, \frac{A E}{A B} =$ _____.

2508.

If BC ||EF and FG||CD then, AEAB= _____.

Answer»

$If B C | | E F and F G | | C D then, \frac{A E}{A B} =$ _____.

Discussion

2509.	Nupur and Sheetal play a game "eight time coin throw”. If the fair coin shows heads, Nupur gets a point & if it shows tails, Sheetal gets a point. After eight throws, they compare their scores. What is the probability that the game will be a tie?
Answer» Nupur and Sheetal play a game "eight time coin throw”. If the fair coin shows heads, Nupur gets a point & if it shows tails, Sheetal gets a point. After eight throws, they compare their scores. What is the probability that the game will be a tie?

Discussion

2510.	If m and n are the roots of the equation x2−5x+3=0 then find the value of (m+n)3+4mn.
Answer» If m and n are the roots of the equation $x^{2} - 5 x + 3 = 0$ then find the value of $(m + n)^{3} + 4 m n$ .

Discussion

2511.	13. By selling a towel for RS 72 the shopkeeper would lose10%. What would be the loss or gain per cent selling it for RS 90
Answer» 13. By selling a towel for RS 72 the shopkeeper would lose10%. What would be the loss or gain per cent selling it for RS 90

Discussion

2512.	Express 45.567 as the sum of integral and decimal part.
Answer» Express 45.567 as the sum of integral and decimal part.

Discussion

2513.	If 18 guests have to be seated, half on each side of a long table. 4 particular guests desire to sit on one particular side and 3 on the other side, then the number of ways in which the sitting arrangements can be made is
Answer» If $18$ guests have to be seated, half on each side of a long table. $4$ particular guests desire to sit on one particular side and $3$ on the other side, then the number of ways in which the sitting arrangements can be made is

Discussion

2514.	If n is an odd positive integer , then n^2-1 is always divisible by (a) 6 (b) 10 (c) 8 (d) 16
Answer» If n is an odd positive integer , then n^2-1 is always divisible by (a) 6 (b) 10 (c) 8 (d) 16

Discussion

2515.	55. Isosceles triangle ABC is inscribed in a circle. If AB=AC =25cm , BC=14cm , find the radius of the circle
Answer» 55. Isosceles triangle ABC is inscribed in a circle. If AB=AC =25cm , BC=14cm , find the radius of the circle

Discussion

2516.	Q30. The population of a city increases by 30% every year. If the present population is 3,38,000, what was the population of the city two years ago? Q30. किसी शहर की आबादी हर साल 30% बढ़ जाती है। यदि वर्तमान जनसंख्या 3,38,000 है, तो दो साल पहले शहर की आबादी क्या थी?
Answer» Q30. The population of a city increases by 30% every year. If the present population is 3,38,000, what was the population of the city two years ago? Q30. किसी शहर की आबादी हर साल 30% बढ़ जाती है। यदि वर्तमान जनसंख्या 3,38,000 है, तो दो साल पहले शहर की आबादी क्या थी?

2516.

Q30. The population of a city increases by 30% every year. If the present population is 3,38,000, what was the population of the city two years ago? Q30. किसी शहर की आबादी हर साल 30% बढ़ जाती है। यदि वर्तमान जनसंख्या 3,38,000 है, तो दो साल पहले शहर की आबादी क्या थी?

Answer»

Q30. The population of a city increases by 30% every year. If the present population is 3,38,000, what was the population of the city two years ago?

Q30. किसी शहर की आबादी हर साल 30% बढ़ जाती है। यदि वर्तमान जनसंख्या 3,38,000 है, तो दो साल पहले शहर की आबादी क्या थी?

Discussion

2517.	a, b, c, d, e, f g, h, i, j, k, l m, n, o, p, q, rmango nut orange peachDisclaimer: Kindly refer the textbook for the images.
Answer» a, b, c, d, e, f g, h, i, j, k, l m, n, o, p, q, r mango nut orange peach Disclaimer: Kindly refer the textbook for the images.

2517.

a, b, c, d, e, f g, h, i, j, k, l m, n, o, p, q, rmango nut orange peachDisclaimer: Kindly refer the textbook for the images.

Answer»

a, b, c, d, e, f

g, h, i, j, k, l

m, n, o, p, q, r

mango nut orange peach

Disclaimer: Kindly refer the textbook for the images.

Discussion

2518.	The number of two digit numbers which are divisible by 2 or 3 is
Answer» The number of two digit numbers which are divisible by 2 or 3 is

Discussion

2519.	(11100)2 = (1001)x. What is the value of x?
Answer» (11100)₂= (1001)_x. What is the value of x?

Discussion

2520.	the total number of positive integral solutions for (x,y,z) such that xyz=24 is
Answer» the total number of positive integral solutions for (x,y,z) such that xyz=24 is

Discussion

2521.	Let 2x2+y2-3xy=0 be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.
Answer» Let 2x²+y²-3xy=0 be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.

Discussion

2522.	{ Normals are drawn from the point }(9,6) to the parabola }y^2=4x . Then find the area enclosed by }}{ the parabola and the two normals other than the normal at }(9,6) .
Answer» { Normals are drawn from the point }(9,6) to the parabola }y^2=4x . Then find the area enclosed by }}{ the parabola and the two normals other than the normal at }(9,6) .

Discussion

2523.	Consider the discrete memoryless channel shown below.The probabilitiesP(x1)=0.40 and P(x0)=0.60. If it is known that the transmitted symbol is x1, then the average information that can be obtained by reading the corresponding output symbols is ________________bits/symbol.0.97
Answer» Consider the discrete memoryless channel shown below. $The probabilities P (x_{1}) = 0.40 and P (x_{0}) = 0.60. If it is known that the transmitted symbol is x_{1}, then the average information that can be obtained by reading the corresponding output symbols is ________________bits/symbol.$ 0.97

Discussion

2524.	If px=x3-3x2+2x, find p(0), p(1), p(2). What do you conclude?
Answer» If $p (x) = x^{3} - 3 x^{2} + 2 x$ , find p(0), p(1), p(2). What do you conclude?

Discussion

2525.	27. What is the value of root over 999
Answer» 27. What is the value of root over 999

Discussion

2526.	BZAA, DYCB, FXEF, ? , JVIE
Answer» BZAA, DYCB, FXEF, ? , JVIE

Discussion

2527.	If 25 of 50% of x is 10,then x =(a) 100(b) 50(c) 25(d) 80
Answer» If $\frac{2}{5}$ of 50% of x is 10,then x = (a) 100 (b) 50 (c) 25 (d) 80

Discussion

2528.	The angle of elevation of a cloud from a height h above the level of water in a lake is α and the angle of depression of its image in the lake is β. Find the height of the cloud above the surface of the lake :
Answer» The angle of elevation of a cloud from a height h above the level of water in a lake is $α$ and the angle of depression of its image in the lake is $β$ . Find the height of the cloud above the surface of the lake :

Discussion

2529.	If four squares are chosen at random on a chess board, The probability that they lie on a diagonal line is 91k64C4. The value of k is
Answer» If four squares are chosen at random on a chess board, The probability that they lie on a diagonal line is $\frac{91 k}{^{64} C_{4}} .$ The value of $k$ is

Discussion

2530.	There are 6 friends A,B,C,D,E and F. B does not want to sit next to D,E or F and E does not want to sit next to A,B or C. In how many ways can you arrange these 6 people around a circular table?
Answer» There are 6 friends A,B,C,D,E and F. B does not want to sit next to D,E or F and E does not want to sit next to A,B or C. In how many ways can you arrange these 6 people around a circular table?

Discussion

2531.	If x=16, y=−7, z=−9, x3+y3+z3= _____________.
Answer» $I f x = 16, y = - 7, z = - 9, x^{3} + y^{3} + z^{3} =$ _____________.

Discussion

2532.	The slant height of a square pyramid is 10 cm and its surface area is 144 square centimetres. What is the volume of the square pyramid?
Answer» The slant height of a square pyramid is 10 cm and its surface area is 144 square centimetres. What is the volume of the square pyramid?

Discussion

2533.	Find the value of r in the given figure.
Answer» Find the value of r in the given figure.

Discussion

2534.	34. Three numbers are in AP. The difference between the first and last is 8 and the product of these two is 20. Find the number.
Answer» 34. Three numbers are in AP. The difference between the first and last is 8 and the product of these two is 20. Find the number.

Discussion

2535.	Find the missing term: 7, 30, 69, 124, 195, 282, 385, _
Answer» Find the missing term: 7, 30, 69, 124, 195, 282, 385, _

Discussion

2536.	Question 26Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.
Answer» Question 26 Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

Discussion

2537.	A table clock has its minute hand 5 cm long. The average velocity of the tip of the minute hand between 6am to 6.30pm.
Answer» A table clock has its minute hand 5 cm long. The average velocity of the tip of the minute hand between 6am to 6.30pm.

Discussion

2538.	The common difference of the AP 500, 1500 , 2500 , 3500 is _______.
Answer» The common difference of the AP 500, 1500 , 2500 , 3500 is _______.

Discussion

2539.	An amount of money is to be distributed among A, Band C in the ratio 4 : 5 : 6. If B's share is Rs. 1500, what is the difference between A's and C's shares?
Answer» An amount of money is to be distributed among A, Band C in the ratio 4 : 5 : 6. If B's share is Rs. 1500, what is the difference between A's and C's shares?

Discussion

2540.	When did E work overtime?
Answer» When did E work overtime?

Discussion

2541.	A shopkeeper offers a discount of 10% on an article which is marked Rs 260. If he still makes a profit of 17%, then the cost price of the article is
Answer» A shopkeeper offers a discount of 10% on an article which is marked Rs 260. If he still makes a profit of 17%, then the cost price of the article is

Discussion

2542.	The sum of infinity of the series 9-3+1-13+_________, is _________.
Answer» The sum of infinity of the series $9 - 3 + 1 - \frac{1}{3} +$ _________, is _________.

Discussion

2543.	There are 256 players in a chess tournament (singles). Two players play a match. Matches are played on a knockout basis, the loser is eliminated after each match. How many matches need to be played to declare a winner? There is no draw.___
Answer» There are 256 players in a chess tournament (singles). Two players play a match. Matches are played on a knockout basis, the loser is eliminated after each match. How many matches need to be played to declare a winner? There is no draw.___

Discussion

2544.	Solve the system of equations: logax loga(xyz)=48logay loga(xyz)=12, a>0, a≠1logaz loga(xyz)=84
Answer» Solve the system of equations: $l o g_{a} x l o g_{a} (x y z) = 48 l o g_{a} y l o g_{a} (x y z) = 12, a > 0, a \neq 1 l o g_{a} z l o g_{a} (x y z) = 84$

Discussion

2545.	14.7 th term of an AP is 40 , then the sum of first 13 term is
Answer» 14.7 th term of an AP is 40 , then the sum of first 13 term is

Discussion

2546.	x69 remainder is 1 where 100≤x≤200 and x is an integer. How many solutions are possible for x?___
Answer» $\frac{x^{6}}{9}$ remainder is 1 where $100 \leq x \leq 200$ and x is an integer. How many solutions are possible for x?___

Discussion

2547.	The total and curved surface area of a solid cylinder is 180π cm2 and 108π cm2, respectively. If a hole of radius 3 cm is made along the axis of the cylinder, what quantity of material is removed (in cm3)?
Answer» The total and curved surface area of a solid cylinder is $180 π c m^{2}$ and $108 π c m^{2}$ , respectively. If a hole of radius $3 c m$ is made along the axis of the cylinder, what quantity of material is removed (in $c m^{3}$ )?

Discussion

2548.	Question 61State whether the following statement is true or false:There are 200 natural numbers between 1002 and 1012.
Answer» Question 61 State whether the following statement is true or false: There are 200 natural numbers between $100^{2}$ and $101^{2}$ .

2548.

Question 61State whether the following statement is true or false:There are 200 natural numbers between 1002 and 1012.

Answer»

Question 61

State whether the following statement is true or false:

There are 200 natural numbers between $100^{2}$ and $101^{2}$ .

Discussion

2549.	What is the age (in years) of Raghu?
Answer» What is the age (in years) of Raghu?

Discussion

2550.	For wgat values of x, 2x×5x ends in 5. ?
Answer» For wgat values of x, $2^{x} \times 5^{x}$ ends in 5. ?

Discussion

Explore topic-wise InterviewSolutions in .

In the adjoining figure, AD is a median of ΔABC and DE || BA. Show that BE is also a median of ΔABC.

11.Find flux through the plane.

If a1+2a2+3a3=1, then what is the minimum value of 2a1+4a2+8a3?

Fourteen percent means fourteen out of every __________.

The number N =999.....9 consists of exactly 2018 nines. Compute the number N^3. How many nines are there in N^3.

a circle is inscribed within a quadrilateral ABCD touching sides AD,AB,BC, and CD at points P,Q,R and S respectively. if BC =14cm ,BQ=8cm and DC=18cm and AD\perp DC, then find the radius of thr circle

There is a triangular blade of sides 3, 4, 5. This is rotated along its 4 cm side to take out ice cream. Find the volume of ice cream.

If BC ||EF and FG||CD then, AEAB= _____.

Nupur and Sheetal play a game "eight time coin throw”. If the fair coin shows heads, Nupur gets a point &amp; if it shows tails, Sheetal gets a point. After eight throws, they compare their scores. What is the probability that the game will be a tie?

If m and n are the roots of the equation x2−5x+3=0 then find the value of (m+n)3+4mn.

13. By selling a towel for RS 72 the shopkeeper would lose10%. What would be the loss or gain per cent selling it for RS 90

Express 45.567 as the sum of integral and decimal part.

If 18 guests have to be seated, half on each side of a long table. 4 particular guests desire to sit on one particular side and 3 on the other side, then the number of ways in which the sitting arrangements can be made is

If n is an odd positive integer , then n^2-1 is always divisible by (a) 6 (b) 10 (c) 8 (d) 16

55. Isosceles triangle ABC is inscribed in a circle. If AB=AC =25cm , BC=14cm , find the radius of the circle

a, b, c, d, e, f g, h, i, j, k, l m, n, o, p, q, rmango nut orange peachDisclaimer: Kindly refer the textbook for the images.

The number of two digit numbers which are divisible by 2 or 3 is

(11100)2 = (1001)x. What is the value of x?

the total number of positive integral solutions for (x,y,z) such that xyz=24 is

Let 2x2+y2-3xy=0 be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.

{ Normals are drawn from the point }(9,6) to the parabola }y^2=4x . Then find the area enclosed by }}{ the parabola and the two normals other than the normal at }(9,6) .

Consider the discrete memoryless channel shown below.The probabilitiesP(x1)=0.40 and P(x0)=0.60. If it is known that the transmitted symbol is x1, then the average information that can be obtained by reading the corresponding output symbols is ________________bits/symbol.0.97

If px=x3-3x2+2x, find p(0), p(1), p(2). What do you conclude?

27. What is the value of root over 999

BZAA, DYCB, FXEF, ? , JVIE

If 25 of 50% of x is 10,then x =(a) 100(b) 50(c) 25(d) 80

The angle of elevation of a cloud from a height h above the level of water in a lake is α and the angle of depression of its image in the lake is β. Find the height of the cloud above the surface of the lake :

If four squares are chosen at random on a chess board, The probability that they lie on a diagonal line is 91k64C4. The value of k is

There are 6 friends A,B,C,D,E and F. B does not want to sit next to D,E or F and E does not want to sit next to A,B or C. In how many ways can you arrange these 6 people around a circular table?

If x=16, y=−7, z=−9, x3+y3+z3= _____________.

The slant height of a square pyramid is 10 cm and its surface area is 144 square centimetres. What is the volume of the square pyramid?

Find the value of r in the given figure.

34. Three numbers are in AP. The difference between the first and last is 8 and the product of these two is 20. Find the number.

Find the missing term: 7, 30, 69, 124, 195, 282, 385, _

Question 26Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

A table clock has its minute hand 5 cm long. The average velocity of the tip of the minute hand between 6am to 6.30pm.

The common difference of the AP 500, 1500 , 2500 , 3500 is _______.

An amount of money is to be distributed among A, Band C in the ratio 4 : 5 : 6. If B's share is Rs. 1500, what is the difference between A's and C's shares?

When did E work overtime?

A shopkeeper offers a discount of 10% on an article which is marked Rs 260. If he still makes a profit of 17%, then the cost price of the article is

The sum of infinity of the series 9-3+1-13+_________, is _________.

There are 256 players in a chess tournament (singles). Two players play a match. Matches are played on a knockout basis, the loser is eliminated after each match. How many matches need to be played to declare a winner? There is no draw.___

Solve the system of equations: logax loga(xyz)=48logay loga(xyz)=12, a&gt;0, a≠1logaz loga(xyz)=84

14.7 th term of an AP is 40 , then the sum of first 13 term is

x69 remainder is 1 where 100≤x≤200 and x is an integer. How many solutions are possible for x?___

The total and curved surface area of a solid cylinder is 180π cm2 and 108π cm2, respectively. If a hole of radius 3 cm is made along the axis of the cylinder, what quantity of material is removed (in cm3)?

Question 61State whether the following statement is true or false:There are 200 natural numbers between 1002 and 1012.

What is the age (in years) of Raghu?

For wgat values of x, 2x×5x ends in 5. ?

Nupur and Sheetal play a game "eight time coin throw”. If the fair coin shows heads, Nupur gets a point & if it shows tails, Sheetal gets a point. After eight throws, they compare their scores. What is the probability that the game will be a tie?

The sum of infinity of the series 9-3+1-13+_, is _.

Solve the system of equations: logax loga(xyz)=48logay loga(xyz)=12, a>0, a≠1logaz loga(xyz)=84