5411 + Interview Questions in Quantitative Aptitude Page 11 InterviewSolution

501.	In 1975, the consumption of water for human use was about 3850 cu km/yr. It increased to about 6000 cu km/yr in the year 2000. Find the percent increase in the consumption of water from 1975 to 2000. Also, find the annual percent increase in consumption (assuming water consumption increases uniformly).
Answer» In 1975, the consumption of water for human use was about 3850 cu km/yr. It increased to about 6000 cu km/yr in the year 2000. Find the percent increase in the consumption of water from 1975 to 2000. Also, find the annual percent increase in consumption (assuming water consumption increases uniformly).

Discussion

502.	Question 164(ii)If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use(× 1) machines.
Answer» Question 164(ii) If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.

502.

Question 164(ii)If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use(× 1) machines.

Answer»

Question 164(ii)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use

$(\times 1)$ machines.

Discussion

503.	If length of diagonal is 6√3 cm and then find the edge length of the cube.
Answer» If length of diagonal is 6√3 cm and then find the edge length of the cube.

Discussion

504.	If 35 percent of the total number of animals in the grassland of China in the year 2010 died due to an epidemic, how many animals remained in the grassland of China in the year 2010?
Answer» If 35 percent of the total number of animals in the grassland of China in the year 2010 died due to an epidemic, how many animals remained in the grassland of China in the year 2010?

Discussion

505.	The sum of p consecutive positive integers is 45. What is the value of p? Statement A: p is even Statement B: p < 9
Answer» The sum of p consecutive positive integers is 45. What is the value of p? Statement A: p is even Statement B: p < 9

Discussion

506.	Find the matrix A such that(i) 1101 A=335101(ii) A 123456=-7-8-9 2 4 6(iii) 413 A=-484-121-363(iv) 213-10-1-11001110-1=A(v) 2-1 10-34 A=-1-8-10 1-2 -5 922 15 (vi) A=123456=-7-8-9 2 4 6 11 10 9
Answer» Find the matrix A such that (i) $[\begin{matrix} 1 & 1 \\ 0 & 1 \end{matrix}] A = [\begin{matrix} 3 & 3 & 5 \\ 1 & 0 & 1 \end{matrix}]$ (ii) $A [\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix}] = [\begin{matrix} - 7 & - 8 & - 9 \\ 2 & 4 & 6 \end{matrix}]$ (iii) $[\begin{matrix} 4 \\ 1 \\ 3 \end{matrix}] A = [\begin{matrix} - 4 & 8 & 4 \\ - 1 & 2 & 1 \\ - 3 & 6 & 3 \end{matrix}]$ (iv) $[\begin{matrix} 2 & 1 & 3 \end{matrix}] [\begin{matrix} - 1 & 0 & - 1 \\ - 1 & 1 & 0 \\ 0 & 1 & 1 \end{matrix}] [\begin{matrix} 1 \\ 0 \\ - 1 \end{matrix}] = A$ (v) $[\begin{matrix} 2 & - 1 \\ 1 & 0 \\ - 3 & 4 \end{matrix}]$ A $= [\begin{matrix} - 1 & - 8 & - 10 \\ 1 & - 2 & - 5 \\ 9 & 22 & 15 \end{matrix}]$ (vi) A $= [\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix}] = [\begin{matrix} - 7 & - 8 & - 9 \\ 2 & 4 & 6 \\ 11 & 10 & 9 \end{matrix}]$

Discussion

507.	Three numbers are chosen at random from 1,2,3....10 without replacement. The probability that the minimum of the chosen numbers in 4 or the maximum is 8 is?
Answer» Three numbers are chosen at random from 1,2,3....10 without replacement. The probability that the minimum of the chosen numbers in 4 or the maximum is 8 is?

Discussion

508.	In a school, 40% of the students draw and paint. 40% of those who draw do not paint. If the students do one of the two, then what % of students paint?
Answer» In a school, 40% of the students draw and paint. 40% of those who draw do not paint. If the students do one of the two, then what % of students paint?

Discussion

509.	a person sitting on the top of a tall building is dropping ball at regular interval of one second find the position of the 3rd 4th and 5th ball when the 6th ball is being dropped
Answer» a person sitting on the top of a tall building is dropping ball at regular interval of one second find the position of the 3rd 4th and 5th ball when the 6th ball is being dropped

Discussion

510.	Refer to the following information: Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs 1,575,000 What was the worth of the total property?
Answer» Refer to the following information: Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs 1,575,000 What was the worth of the total property?

510.

Refer to the following information: Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs 1,575,000 What was the worth of the total property?

Answer»

Refer to the following information: Alphonso, on his deathbed, keeps half his property for his wife and divides the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs 1,575,000

What was the worth of the total property?

Discussion

511.	In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:Total number of students participating either in drama or in music or both
Answer» In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music. Draw Venn diagrams for the given data: Total number of students participating either in drama or in music or both

511.

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:Total number of students participating either in drama or in music or both

Answer»

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.

Draw Venn diagrams for the given data:

Total number of students participating either in drama or in music or both

Discussion

512.	Water flows in a tank 150 m ×100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, Will the water be 3 metres deep?
Answer» Water flows in a tank 150 m $\times$ 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, Will the water be 3 metres deep?

Discussion

513.	In Fig. 13.121, ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is __________.
Answer» In Fig. 13.121, ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is __________.

Discussion

514.	A and B are 100 km apart on a highway. One car starts from A and another from B at the same time if the cost travel in the same direction at different speeds they meet in 5 hours if they travel towards each other they meet in one hour what are the speed of the two cars.
Answer» A and B are 100 km apart on a highway. One car starts from A and another from B at the same time if the cost travel in the same direction at different speeds they meet in 5 hours if they travel towards each other they meet in one hour what are the speed of the two cars.

Discussion

515.	sketch the graphs of the following curves;1] y=e^x+1
Answer» sketch the graphs of the following curves; 1] y=e^x+1

Discussion

516.	26. A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all,is
Answer» 26. A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all,is

Discussion

517.	A,B,C and D share a amount amongst themselves. B sees that the other three get 3 times what he himself gets.C sees that the other three get 4 times what he gets ,while D sees that the other three get 5 times what he gets. If the sum of the largest and smallest shares is 99, what is the sum of the other two shares?
Answer» A,B,C and D share a amount amongst themselves. B sees that the other three get 3 times what he himself gets.C sees that the other three get 4 times what he gets ,while D sees that the other three get 5 times what he gets. If the sum of the largest and smallest shares is 99, what is the sum of the other two shares?

Discussion

518.	How many no.of significant digits are there in 5.001×1000?
Answer» How many no.of significant digits are there in 5.001×1000?

Discussion

519.	15. The point a divides the join of points -5,1 and 3,5 in ratio k:1 and coordinates of b and c are 1,5 and 7,-2 .if area of triangle is 2 units then find integral value of k
Answer» 15. The point a divides the join of points -5,1 and 3,5 in ratio k:1 and coordinates of b and c are 1,5 and 7,-2 .if area of triangle is 2 units then find integral value of k

Discussion

520.	If f(x)=x2+2x−5 and g(x) = 5x + 30, then the roots of the quadratic equation g[f(x)] will be
Answer» If $f (x) = x^{2} + 2 x - 5$ and g(x) = 5x + 30, then the roots of the quadratic equation g[f(x)] will be

Discussion

521.	The probability that in a family of 4 children there will be atleast one boy is
Answer» The probability that in a family of $4$ children there will be atleast one boy is

Discussion

522.	A man can row 4km/h in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream?
Answer» A man can row 4km/h in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream?

Discussion

523.	Add -7/27 and 11/18
Answer» Add -7/27 and 11/18

523.

Add -7/27 and 11/18

Answer»

Add

-7/27 and 11/18

Discussion

524.	E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF \|\| QR.(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm.(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
Answer» E and F are points on the sides PQ and PR respectively of a $Δ P Q R$ . For the following case, state whether EF \|\| QR. (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm. (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

Discussion

525.	Let the coefficients of third, fourth and fifth terms in the expansion of (x+ax2)n,x≠0, be in the ratio 12:8:3. Then the term independent of x in the expansion, is equal to
Answer» Let the coefficients of third, fourth and fifth terms in the expansion of ${(x + \frac{a}{x^{2}})}^{n}, x \neq 0,$ be in the ratio $12 : 8 : 3.$ Then the term independent of $x$ in the expansion, is equal to

Discussion

526.	Given that a and d are the first term and the common difference of an A.P (where a>0),the relation between a and d that satisfies the relation (y/z)−(a/y)=(1/2) where y and z are second and third terms of an A.P. is
Answer» Given that a and d are the first term and the common difference of an A.P (where a>0),the relation between a and d that satisfies the relation $(y / z) - (a / y) = (1 / 2)$ where y and z are second and third terms of an A.P. is

Discussion

527.	What is the 20th term of the sequence defined by an=(n−1)(2−n)(3+n)?
Answer» What is the $20^{t h}$ term of the sequence defined by $a_{n} = (n - 1) (2 - n) (3 + n) ?$

Discussion

528.	What is the total number of people, who do not eat rice and maize?
Answer» What is the total number of people, who do not eat rice and maize?

Discussion

529.	The ratio of incomes of Hermaan and Preeti is 3:5 and the ratio of their expenditures is 2:3. Who saves more?
Answer» The ratio of incomes of Hermaan and Preeti is 3:5 and the ratio of their expenditures is 2:3. Who saves more?

Discussion

530.	In the given diagram ABCD , What is the value of x∘?
Answer» In the given diagram ABCD , What is the value of x $^{\circ}$ ?

530.

In the given diagram ABCD , What is the value of x∘?

Answer»

In the given diagram ABCD , What is the value of x $^{\circ}$ ?

Discussion

531.	How to find exact value of k in kx2+3x+2=0?
Answer» How to find exact value of k in $k x^{2} + 3 x + 2 = 0$ ?

Discussion

532.	20. If co-ordinate of two points A and B are (3,4) and (5,-2) find co-ordinate of P if PA =PB and area ofΔ PAB= 10
Answer» 20. If co-ordinate of two points A and B are (3,4) and (5,-2) find co-ordinate of P if PA =PB and area ofΔ PAB= 10

Discussion

533.	The maximum value of z = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60 x, y ≥ 0, is ____________.
Answer» The maximum value of z = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60 x, y ≥ 0, is ____________.

Discussion

534.	In the figure, TP and TQ are tangents to the circle. ∠PAQ=70∘, then the value of ∠PTQ is ___
Answer» In the figure, TP and TQ are tangents to the circle. $∠ P A Q = 70^{\circ}$ , then the value of $∠ P T Q$ is ___

Discussion

535.	The age of Xavier 10 years ago was thrice the age of his son. Ten years hence, the man's age will be twice that of his son. The present age of Xavier is:
Answer» The age of Xavier 10 years ago was thrice the age of his son. Ten years hence, the man's age will be twice that of his son. The present age of Xavier is:

Discussion

536.	If the interest on 3000 rupees is 600 rupees at a certain rate for a certain number of years, what would the interest be on 1500 rupees under the same conditions ?(i) 300 rupees(ii) 1000 rupees(iii) 700 rupees(iv) 500 rupees
Answer» If the interest on 3000 rupees is 600 rupees at a certain rate for a certain number of years, what would the interest be on 1500 rupees under the same conditions ? (i) 300 rupees (ii) 1000 rupees (iii) 700 rupees (iv) 500 rupees

Discussion

537.	The probability of selecting integers a∈[–5,30] such that x2+2(a+4)x−5a+64>0, for all x∈R is
Answer» The probability of selecting integers $a \in [- 5, 30]$ such that $x^{2} + 2 (a + 4) x - 5 a + 64 > 0,$ for all $x \in R$ is

Discussion

538.	How many Indian citizens in the age group of 55-60 years like walking?
Answer» How many Indian citizens in the age group of 55-60 years like walking?

Discussion

539.	The figures present annual growth rate, expressed as the percentage change relative to the previous year in four sectors of the economy of the Republic of Reposia during the 9-year period from 1990 to 1998. Assume that the index of production for each of the four sectors is set at 100 in 1989. Further, the four sectors manufacturing, mining and quarrying, electricity and chemicals, respectively, constituted 20%,15%,10% and 15% of total industrial production in 1989. Which is the sector with the highest growth during the period 1989 to 1998?
Answer» The figures present annual growth rate, expressed as the percentage change relative to the previous year in four sectors of the economy of the Republic of Reposia during the 9-year period from 1990 to 1998. Assume that the index of production for each of the four sectors is set at 100 in 1989. Further, the four sectors manufacturing, mining and quarrying, electricity and chemicals, respectively, constituted $20 %, 15 %, 10 %$ and $15 %$ of total industrial production in 1989. Which is the sector with the highest growth during the period 1989 to 1998?

Discussion

540.	a swimmer makes his strokes perpendicular to the flow of river at speed of 8m/s relative to still water, He arrives across the river which is 40m wide, the velocity of the swimmer wrt ground will be?
Answer» a swimmer makes his strokes perpendicular to the flow of river at speed of 8m/s relative to still water, He arrives across the river which is 40m wide, the velocity of the swimmer wrt ground will be?

Discussion

541.	In the figure given below, If the areas of the two regions are equal then which of the following is true?
Answer» In the figure given below, If the areas of the two regions are equal then which of the following is true?

541.

In the figure given below, If the areas of the two regions are equal then which of the following is true?

Answer»

In the figure given below, If the areas of the two regions are equal then which of the following is true?

Discussion

542.	The area of a right isosceles triangle whose hypotenuse is 162 cm is(a) 125 cm2 (b) 158 cm2 (c) 128 cm2 (d) 144 cm2
Answer» The area of a right isosceles triangle whose hypotenuse is 16 $\sqrt{2}$ cm is (a) 125 cm² (b) 158 cm² (c) 128 cm² (d) 144 cm²

Discussion

543.	Many of the students at the International School speak French or German or both. Among the students who speak French, four times as many speak German as don't. In addition, (16)th of the students who don't speak German do speak only French. What fraction of the students speak German? (A) Exactly 60 students speak French and German. (B) Exactly 75 students speak neither French nor German.
Answer» Many of the students at the International School speak French or German or both. Among the students who speak French, four times as many speak German as don't. In addition, ${(\frac{1}{6})}^{t h}$ of the students who don't speak German do speak only French. What fraction of the students speak German? (A) Exactly 60 students speak French and German. (B) Exactly 75 students speak neither French nor German.

543.

Many of the students at the International School speak French or German or both. Among the students who speak French, four times as many speak German as don't. In addition, (16)th of the students who don't speak German do speak only French. What fraction of the students speak German? (A) Exactly 60 students speak French and German. (B) Exactly 75 students speak neither French nor German.

Answer»

Many of the students at the International School speak French or German or both. Among the students who speak French, four times as many speak German as don't. In addition, ${(\frac{1}{6})}^{t h}$ of the students who don't speak German do speak only French. What fraction of the students speak German?
(A) Exactly 60 students speak French and German.

(B) Exactly 75 students speak neither French nor German.

Discussion

544.	What is the total number of integral solutions of xyz=42(POSITIVE AS WELL AS NEGATIVE).
Answer» What is the total number of integral solutions of xyz=42(POSITIVE AS WELL AS NEGATIVE).

Discussion

545.	What is the remainder obtained when 347−2 is divided by 47?
Answer» What is the remainder obtained when $3^{47} - 2$ is divided by 47?

Discussion

546.	{ The angle between the }x -axis and the vector }}{^ i+^ j+\sqrt2^ k is
Answer» { The angle between the }x -axis and the vector }}{^ i+^ j+\sqrt2^ k is

Discussion

547.	The points (2,5) and (6,3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is
Answer» The points (2,5) and (6,3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

Discussion

548.	The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total number of m points are taken on l1, n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are(a) m + n + kC3(b) m + n + kC3 – mC3 – nC3 – kC3(c) mC3 + nC3 + kC3(d) mC3 × nC3 × kC3
Answer» The straight lines l₁, l₂ and l₃ are parallel and lie in the same plane. A total number of m points are taken on l₁, n points on l₂, k points on l₃. The maximum number of triangles formed with vertices at these points are (a) ^{m + n + k}C₃ (b) ^{m + n + k}C₃ – ^mC₃ – ⁿC₃ – ^kC₃ (c) ^mC₃ + ⁿC₃ + ^kC₃ (d) ^mC₃ × ⁿC₃ × ^kC₃

Discussion

549.	25.A postman has to deliver five letters to five different houses. Mischievously he posts one letter through each door without looking to see if it is correct address. In how many ways he could do this so that exactly two of the five houses recieve correct letter??
Answer» 25.A postman has to deliver five letters to five different houses. Mischievously he posts one letter through each door without looking to see if it is correct address. In how many ways he could do this so that exactly two of the five houses recieve correct letter??

Discussion

550.	In a group of 50 people who like either coffee or tea, 15 like coffee but not tea and 32 like coffee. How many like tea alone?
Answer» In a group of 50 people who like either coffee or tea, 15 like coffee but not tea and 32 like coffee. How many like tea alone?

Discussion

Explore topic-wise InterviewSolutions in .

Question 164(ii)If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use(× 1) machines.

If length of diagonal is 6√3 cm and then find the edge length of the cube.

If 35 percent of the total number of animals in the grassland of China in the year 2010 died due to an epidemic, how many animals remained in the grassland of China in the year 2010?

The sum of p consecutive positive integers is 45. What is the value of p? Statement A: p is even Statement B: p &lt; 9

Find the matrix A such that(i) 1101 A=335101(ii) A 123456=-7-8-9 2 4 6(iii) 413 A=-484-121-363(iv) 213-10-1-11001110-1=A(v) 2-1 10-34 A=-1-8-10 1-2 -5 922 15 (vi) A=123456=-7-8-9 2 4 6 11 10 9

Three numbers are chosen at random from 1,2,3....10 without replacement. The probability that the minimum of the chosen numbers in 4 or the maximum is 8 is?

In a school, 40% of the students draw and paint. 40% of those who draw do not paint. If the students do one of the two, then what % of students paint?

a person sitting on the top of a tall building is dropping ball at regular interval of one second find the position of the 3rd 4th and 5th ball when the 6th ball is being dropped

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:Total number of students participating either in drama or in music or both

Water flows in a tank 150 m ×100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, Will the water be 3 metres deep?

In Fig. 13.121, ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is __________.

A and B are 100 km apart on a highway. One car starts from A and another from B at the same time if the cost travel in the same direction at different speeds they meet in 5 hours if they travel towards each other they meet in one hour what are the speed of the two cars.

sketch the graphs of the following curves;1] y=e^x+1

26. A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all,is

How many no.of significant digits are there in 5.001×1000?

15. The point a divides the join of points -5,1 and 3,5 in ratio k:1 and coordinates of b and c are 1,5 and 7,-2 .if area of triangle is 2 units then find integral value of k

If f(x)=x2+2x−5 and g(x) = 5x + 30, then the roots of the quadratic equation g[f(x)] will be

The probability that in a family of 4 children there will be atleast one boy is

A man can row 4km/h in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream?

Add -7/27 and 11/18

E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR.(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm.(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm

Let the coefficients of third, fourth and fifth terms in the expansion of (x+ax2)n,x≠0, be in the ratio 12:8:3. Then the term independent of x in the expansion, is equal to

Given that a and d are the first term and the common difference of an A.P (where a&gt;0),the relation between a and d that satisfies the relation (y/z)−(a/y)=(1/2) where y and z are second and third terms of an A.P. is

What is the 20th term of the sequence defined by an=(n−1)(2−n)(3+n)?

What is the total number of people, who do not eat rice and maize?

The ratio of incomes of Hermaan and Preeti is 3:5 and the ratio of their expenditures is 2:3. Who saves more?

In the given diagram ABCD , What is the value of x∘?

How to find exact value of k in kx2+3x+2=0?

20. If co-ordinate of two points A and B are (3,4) and (5,-2) find co-ordinate of P if PA =PB and area ofΔ PAB= 10

The maximum value of z = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60 x, y ≥ 0, is ____________.

In the figure, TP and TQ are tangents to the circle. ∠PAQ=70∘, then the value of ∠PTQ is ___

The age of Xavier 10 years ago was thrice the age of his son. Ten years hence, the man's age will be twice that of his son. The present age of Xavier is:

If the interest on 3000 rupees is 600 rupees at a certain rate for a certain number of years, what would the interest be on 1500 rupees under the same conditions ?(i) 300 rupees(ii) 1000 rupees(iii) 700 rupees(iv) 500 rupees

The probability of selecting integers a∈[–5,30] such that x2+2(a+4)x−5a+64&gt;0, for all x∈R is

How many Indian citizens in the age group of 55-60 years like walking?

a swimmer makes his strokes perpendicular to the flow of river at speed of 8m/s relative to still water, He arrives across the river which is 40m wide, the velocity of the swimmer wrt ground will be?

In the figure given below, If the areas of the two regions are equal then which of the following is true?

The area of a right isosceles triangle whose hypotenuse is 162 cm is(a) 125 cm2 (b) 158 cm2 (c) 128 cm2 (d) 144 cm2

What is the total number of integral solutions of xyz=42(POSITIVE AS WELL AS NEGATIVE).

What is the remainder obtained when 347−2 is divided by 47?

{ The angle between the }x -axis and the vector }}{^ i+^ j+\sqrt2^ k is

The points (2,5) and (6,3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

25.A postman has to deliver five letters to five different houses. Mischievously he posts one letter through each door without looking to see if it is correct address. In how many ways he could do this so that exactly two of the five houses recieve correct letter??

In a group of 50 people who like either coffee or tea, 15 like coffee but not tea and 32 like coffee. How many like tea alone?

The sum of p consecutive positive integers is 45. What is the value of p? Statement A: p is even Statement B: p < 9

Given that a and d are the first term and the common difference of an A.P (where a>0),the relation between a and d that satisfies the relation (y/z)−(a/y)=(1/2) where y and z are second and third terms of an A.P. is

The probability of selecting integers a∈[–5,30] such that x2+2(a+4)x−5a+64>0, for all x∈R is