5411 + Interview Questions in Quantitative Aptitude Page 45 InterviewSolution

2201.	In an examination, it was found that every student has failed in at least one subject out of the three subjects: English, Maths and Science. 28 students failed in English, 30 students failed in Maths and 32 students failed in Science. 6 students failed in English and Maths, 8 students failed in Maths and Science and 10 students failed in English and Science. The number of students who failed in only one subject is 54. Also, 20 students failed only in Maths. The number of students who failed in English and Science but not Maths is ___.
Answer» In an examination, it was found that every student has failed in at least one subject out of the three subjects: English, Maths and Science. 28 students failed in English, 30 students failed in Maths and 32 students failed in Science. 6 students failed in English and Maths, 8 students failed in Maths and Science and 10 students failed in English and Science. The number of students who failed in only one subject is 54. Also, 20 students failed only in Maths. The number of students who failed in English and Science but not Maths is ___.

Discussion

2202.	79.Find the number of non nEgative integral solutions of x1+x2+x3+4x4=2
Answer» 79.Find the number of non nEgative integral solutions of x1+x2+x3+4x4=2

Discussion

2203.	Out of 76 students, 48 play both chess and cricket. How many students play only chess? I. Out of 76 students, 19 students don't play any game, 5 students play only cricket. II. Out of 76 students, 30 are girls and 15 of them don't play any game.
Answer» Out of 76 students, 48 play both chess and cricket. How many students play only chess? I. Out of 76 students, 19 students don't play any game, 5 students play only cricket. II. Out of 76 students, 30 are girls and 15 of them don't play any game.

2203.

Out of 76 students, 48 play both chess and cricket. How many students play only chess? I. Out of 76 students, 19 students don't play any game, 5 students play only cricket. II. Out of 76 students, 30 are girls and 15 of them don't play any game.

Answer»

Out of 76 students, 48 play both chess and cricket. How many students play only chess?

I. Out of 76 students, 19 students don't play any game, 5 students play only cricket.

II. Out of 76 students, 30 are girls and 15 of them don't play any game.

Discussion

2204.	The number of students who take both the subjects math and chemistry is 30. This represents 10% of enrolment in math and 12% of enrolment in chemistry. How many students take at least one of these subjects?
Answer» The number of students who take both the subjects math and chemistry is 30. This represents 10% of enrolment in math and 12% of enrolment in chemistry. How many students take at least one of these subjects?

Discussion

2205.	A ball is dropped from the top of a tower the. Distance travelled by the ball in the last second is 40 metre. Find the height of the tower.
Answer» A ball is dropped from the top of a tower the. Distance travelled by the ball in the last second is 40 metre. Find the height of the tower.

Discussion

2206.	Question 7 (iii)In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of 10% per annum.
Answer» Question 7 (iii) In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of $10 %$ per annum.

Discussion

2207.	The infinite sum of 1+47+972+1673+2574+ .......Is k. The Value of 27K is___
Answer» The infinite sum of $1 + \frac{4}{7} + \frac{9}{7^{2}} + \frac{16}{7^{3}} + \frac{25}{7^{4}} +$ .......Is k. The Value of 27K is___

Discussion

2208.	What is an infinite loop? Give one example.
Answer» What is an infinite loop? Give one example.

Discussion

2209.	The perimeter of right-angled triangle is 60 cm. And it's hypotenuse is 25 cm. Then find the area of the triangle.
Answer» The perimeter of right-angled triangle is 60 cm. And it's hypotenuse is 25 cm. Then find the area of the triangle.

Discussion

2210.	54.Two men P and Q are standing at opposite corners A and B of square ABCD of side 8m. They start moving along the track with constant speed 2m/s and 10m/s respectively. Find the time when they will meet for the first time.
Answer» 54.Two men P and Q are standing at opposite corners A and B of square ABCD of side 8m. They start moving along the track with constant speed 2m/s and 10m/s respectively. Find the time when they will meet for the first time.

Discussion

2211.	In applications of derivatives how to determine the formula which has to be max or min?
Answer» In applications of derivatives how to determine the formula which has to be max or min?

Discussion

2212.	A shopkeeper bought 15 kg of rice at the rate of ₹29/kg and 25 kg 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 25 kg 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

2213.	Study the following table carefully to answer these questions: Percent of Marks obtained by six students in six subjects SubjectHistoryGeographyMathsScienceEnglishHindiMax.Marks75751001505060A826659766265B767265847475C567871668670D648068726680E486883885660F607479648085 What is the ratio between total marks obtained by D in Maths, Science and English together and the total marks obtained by F in these subjects together respectively ?
Answer» Study the following table carefully to answer these questions: Percent of Marks obtained by six students in six subjects $\begin{matrix} S u b j e c t & H i s t o r y & G e o g r a p h y & M a t h s & S c i e n c e & E n g l i s h & H i n d i M a x . M a r k s & 75 & 75 & 100 & 150 & 50 & 60 A & 82 & 66 & 59 & 76 & 62 & 65 B & 76 & 72 & 65 & 84 & 74 & 75 C & 56 & 78 & 71 & 66 & 86 & 70 D & 64 & 80 & 68 & 72 & 66 & 80 E & 48 & 68 & 83 & 88 & 56 & 60 F & 60 & 74 & 79 & 64 & 80 & 85 \end{matrix}$ What is the ratio between total marks obtained by D in Maths, Science and English together and the total marks obtained by F in these subjects together respectively ?

Discussion

2214.	How many steps will be required to get the final output from the following input? Input: 31 88 162 447 375 72 29
Answer» How many steps will be required to get the final output from the following input? Input: 31 88 162 447 375 72 29

2214.

How many steps will be required to get the final output from the following input? Input: 31 88 162 447 375 72 29

Answer»

How many steps will be required to get the final output from the following input?

Input: 31 88 162 447 375 72 29

Discussion

2215.	A ball is dropped from a height of H. The ball bounces on the ground and jumps back up to a height of h. If the ball lost x times its own energy, then what is the value of h in terms of x and H?
Answer» A ball is dropped from a height of $H$ . The ball bounces on the ground and jumps back up to a height of $h$ . If the ball lost $x$ times its own energy, then what is the value of $h$ in terms of $x$ and $H$ ?

Discussion

2216.	How many 4-digit positive integral numbers are there in base 7, if you are counting the numbers in the same base system?
Answer» How many 4-digit positive integral numbers are there in base 7, if you are counting the numbers in the same base system?

Discussion

2217.	N= 4! + 5!+6!.........200!. Find the last two digits of N
Answer» N= 4! + 5!+6!.........200!. Find the last two digits of N

Discussion

2218.

A man noted the distance covered by his car in different time intervals as shown in the table below. Find the average speed of his car. Distance travelled(km) 5 25 25 50 15 Time taken(h) 1 3 6 3 2

Answer» A man noted the distance covered by his car in different time intervals as shown in the table below. Find the average speed of his car.

Distance travelled(km)	5	25	25	50	15
Time taken(h)	1	3	6	3	2

Discussion

2219.	A gulab jamun contain sugar syrup up to about 30%of its volume. Find approximately how much syrup would be found in 45 gulab jamun, each shaped like a cylinder with two hemisphere ends with length 5cm and diameter 2.8cm.
Answer» A gulab jamun contain sugar syrup up to about 30%of its volume. Find approximately how much syrup would be found in 45 gulab jamun, each shaped like a cylinder with two hemisphere ends with length 5cm and diameter 2.8cm.

Discussion

2220.	ΔABC is a right angled at A and AD is the altitude to BC. If AB = 7 cm and AC = 24 cm. Find the ratio of AD to AM, where M is the midpoint of BC:
Answer» $Δ A B C$ is a right angled at A and AD is the altitude to BC. If AB = 7 cm and AC = 24 cm. Find the ratio of AD to AM, where M is the midpoint of BC:

Discussion

2221.	Question 10There is a pentagonally shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways,Find the area of this park using both ways. Can you suggest some other way of finding its area?
Answer» Question 10 There is a pentagonally shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways, Find the area of this park using both ways. Can you suggest some other way of finding its area?

Discussion

2222.	Three airlines-IA, JA and SA-operate on the Delhi-Mumbai route. To increase the number of seats sold, SA reduced its fares and this was emulated by IA and JA immediately. The general belief was that the volume of air travel between Delhi and Mumbai would increase as a result. Which of the following, if true, would add credence to the general belief?
Answer» Three airlines-IA, JA and SA-operate on the Delhi-Mumbai route. To increase the number of seats sold, SA reduced its fares and this was emulated by IA and JA immediately. The general belief was that the volume of air travel between Delhi and Mumbai would increase as a result. Which of the following, if true, would add credence to the general belief?

Discussion

2223.	Study the following information carefully and answer the following questions: An organisation decided to distribute seven types of laptops on week days starting from Monday to Sunday. The seven laptops to be distributed are of Sony, Acer, Asus, Lenovo, Dell, HP and HCL, but not necessarily in the same order. Dell laptops are to be given on Saturday. Lenovo laptops are given just after Asus Laptops and Asus laptops are not given on Wednesday. HP laptops are given two days after the distribution of Asus laptops. Acer laptops are distributed just after Sony laptops. HCL laptops are distributed before Acer laptops. HP laptops are distributed after Dell laptops. Which laptops are distributed just between the days when Lenovo and HP are distributed?
Answer» Study the following information carefully and answer the following questions: An organisation decided to distribute seven types of laptops on week days starting from Monday to Sunday. The seven laptops to be distributed are of Sony, Acer, Asus, Lenovo, Dell, HP and HCL, but not necessarily in the same order. Dell laptops are to be given on Saturday. Lenovo laptops are given just after Asus Laptops and Asus laptops are not given on Wednesday. HP laptops are given two days after the distribution of Asus laptops. Acer laptops are distributed just after Sony laptops. HCL laptops are distributed before Acer laptops. HP laptops are distributed after Dell laptops. Which laptops are distributed just between the days when Lenovo and HP are distributed?

Discussion

2224.	Question 91The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago ?
Answer» Question 91 The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago ?

2224.

Question 91The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago ?

Answer»

Question 91

The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago ?

Discussion

2225.	From any point on the circumference of a circle of radius r, chords are drawn to the angular points of the regular inscribed polygon of n side. Show that the sum of the squares of the chords is 2nr^2.
Answer» From any point on the circumference of a circle of radius r, chords are drawn to the angular points of the regular inscribed polygon of n side. Show that the sum of the squares of the chords is 2nr^2.

Discussion

2226.	a plane is such that the foot of perpendicular drawn from origin to it is (2,-1,1).the dis†an ce of (1,2,3) from the plane i
Answer» a plane is such that the foot of perpendicular drawn from origin to it is (2,-1,1).the dis†an ce of (1,2,3) from the plane i

Discussion

2227.	Find the smallest number when divided by 7,13,19,25 leaves remainder 1,2,3,4 respectively
Answer» Find the smallest number when divided by 7,13,19,25 leaves remainder 1,2,3,4 respectively

Discussion

2228.	145. How many litres of a mixture containing 80% alcohol should be added to 5 litres of a 20% solution to yield a 30% solution?
Answer» 145. How many litres of a mixture containing 80% alcohol should be added to 5 litres of a 20% solution to yield a 30% solution?

Discussion

2229.	Frame an algebraic expression for the given situation:Total wages (W) of a man in a day whose basic wage is B, for 't' hours a day and R per hour for overtime. He works a total of 'T' hours in the week.
Answer» Frame an algebraic expression for the given situation: Total wages (W) of a man in a day whose basic wage is B, for 't' hours a day and R per hour for overtime. He works a total of 'T' hours in the week.

Discussion

2230.	24. If a b c are in GP then a+b 2b b+c are in
Answer» 24. If a b c are in GP then a+b 2b b+c are in

Discussion

2231.	BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.
Answer» BO and CO are respectively the bisectors of $∠ B$ and $∠ C$ of $Δ A B C$ . AO produced meets BC at P. Show that [4 MARKS] (i) $\frac{A B}{B P} = \frac{A O}{O P}$ (ii) $\frac{A C}{C P} = \frac{A O}{O P}$ (iii) $\frac{A B}{A C} = \frac{B P}{P C}$ (iv) $A P$ is the bisector of $∠ B A C$ .

2231.

BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.

Answer»

BO and CO are respectively the bisectors of $∠ B$ and $∠ C$ of $Δ A B C$ . AO produced meets BC at P.

Show that [4 MARKS]

(i) $\frac{A B}{B P} = \frac{A O}{O P}$

(ii) $\frac{A C}{C P} = \frac{A O}{O P}$

(iii) $\frac{A B}{A C} = \frac{B P}{P C}$

(iv) $A P$ is the bisector of $∠ B A C$ .

Discussion

2232.	Students of class VII went to a picnic and spent Rs 96 on snacks. Since four of them skipped the picnic, the remaining students had to contribute Rs 2 extra. The number of students attending the picnic was:
Answer» Students of class VII went to a picnic and spent Rs 96 on snacks. Since four of them skipped the picnic, the remaining students had to contribute Rs 2 extra. The number of students attending the picnic was:

Discussion

2233.	Determine the range of values of real cons†an t k for which the cubic 2x^3-9x^2+12x-k=0 has all roots real
Answer» Determine the range of values of real cons†an t k for which the cubic 2x^3-9x^2+12x-k=0 has all roots real

Discussion

2234.	Out of four numbers a, b, c, d, the average of first three is 16 and that of the last three is 17. If d = 19, a is:
Answer» Out of four numbers a, b, c, d, the average of first three is 16 and that of the last three is 17. If d = 19, a is:

Discussion

2235.	The maximum value of f(x)=x3−9x2+24x+5 in the interval [1,6] is
Answer» The maximum value of $f (x) = x^{3} - 9 x^{2} + 24 x + 5$ in the interval $[1, 6]$ is

Discussion

2236.	A rubber ball is released from a height of 4.90 m above the floor. It bounces repeatedly,always rising to 81/100 of the height through which it falls. find the vertical distance travelled by the ball.
Answer» A rubber ball is released from a height of 4.90 m above the floor. It bounces repeatedly, always rising to 81/100 of the height through which it falls. find the vertical distance travelled by the ball.

Discussion

2237.	f(1) = 1 and f(n+1) = 2f(n)+1, for n being a natural number. The value of f(100) is:
Answer» f(1) = 1 and f(n+1) = 2f(n)+1, for n being a natural number. The value of f(100) is:

Discussion

2238.	Three numbers are selected at random(without replacement ) from first six positive integers . if X denotes the smallest of the three numbers obtained ,find the probability distribution of X. also find the mean and variance of the distribution
Answer» Three numbers are selected at random(without replacement ) from first six positive integers . if X denotes the smallest of the three numbers obtained ,find the probability distribution of X. also find the mean and variance of the distribution

Discussion

2239.	The largest set of real values of x for which f(x)=√(x+2)(5−x)−1√x2−4 is real is:
Answer» The largest set of real values of x for which $f (x) = \sqrt{(x + 2) (5 - x)} - \frac{1}{\sqrt{x^{2} - 4}}$ is real is:

Discussion

2240.	What will be the last step for the following input? Input: 138 63 49 93 89 122 32 71
Answer» What will be the last step for the following input? Input: 138 63 49 93 89 122 32 71

2240.

What will be the last step for the following input? Input: 138 63 49 93 89 122 32 71

Answer»

What will be the last step for the following input?

Input: 138 63 49 93 89 122 32 71

Discussion

2241.	Prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc.
Answer» Prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc.

Discussion

2242.	The interior angles of a polygon are in AP. If the smallest angle is 120∘ and the common difference is 5∘, then find the possible number of sides of that polygon?
Answer» The interior angles of a polygon are in AP. If the smallest angle is 120 $^{\circ}$ and the common difference is 5 $^{\circ}$ , then find the possible number of sides of that polygon?

Discussion

2243.	a certain number of students of a school participated in a chess tournament of their annual sports meet. each player played one game against each of the other player it was found that in 66 games both the players were girls and in 240 games one was a girl and other was boy the number of games in which both the players were boys is
Answer» a certain number of students of a school participated in a chess tournament of their annual sports meet. each player played one game against each of the other player it was found that in 66 games both the players were girls and in 240 games one was a girl and other was boy the number of games in which both the players were boys is

Discussion

2244.	In a certain city of 15000 families, 3.5% of families who read A but not B look into advertisements, 25% of the families who read B but not A look into advertisements and 50% of the families, who read both A and B look into advertisements. It is known that 8000 families read A, 4000 read B and 1000 read both A and B. Find: 1. The number of families who look into advertisements? 2. The number of families who read none of the newspaper? 3. The number of families who read atmost one of the newspap
Answer» In a certain city of 15000 families, 3.5% of families who read A but not B look into advertisements, 25% of the families who read B but not A look into advertisements and 50% of the families, who read both A and B look into advertisements. It is known that 8000 families read A, 4000 read B and 1000 read both A and B. Find: 1. The number of families who look into advertisements? 2. The number of families who read none of the newspaper? 3. The number of families who read atmost one of the newspap

Discussion

2245.	On simplication of 2.6642−2.33620.328 , we get,
Answer» $O n s i m p l i c a t i o n o f \frac{{2.664}^{2} - {2.336}^{2}}{0.328}, w e g e t,$

Discussion

2246.	Abhay working in Tele Bharti as a salesperson. His monthly salary is just Rs. 200. But he gets the bonus as per the given rule. If he sells the sim cards of Rs. x, then his bonus will be [(x100)2+10]. In the first quarter of the year, his average sale was Rs. 3000 per month. In the next 5 months, his average sale was Rs. 5000 per month. In the last four months, his average sale was Rs. 8000 per month. What is the average earnings per month for the whole year?
Answer» Abhay working in Tele Bharti as a salesperson. His monthly salary is just Rs. 200. But he gets the bonus as per the given rule. If he sells the sim cards of Rs. x, then his bonus will be $[{(\frac{x}{100})}^{2} + 10]$ . In the first quarter of the year, his average sale was Rs. 3000 per month. In the next 5 months, his average sale was Rs. 5000 per month. In the last four months, his average sale was Rs. 8000 per month. What is the average earnings per month for the whole year?

Discussion

2247.	Solve for x using wavy curve method:((x ^ 2 - 5)(x ^ 2 - 4))/(x - 1)
Answer» Solve for x using wavy curve method: ((x ^ 2 - 5)(x ^ 2 - 4))/(x - 1) <= 0

Discussion

2248.	Students who obtained Group Scores of at least 95 in every group are eligible to apply for a prize. Among those who are eligible, the student obtaining the highest Group Score in Social Science Group is awarded this prize. The prize was awarded to:
Answer» Students who obtained Group Scores of at least 95 in every group are eligible to apply for a prize. Among those who are eligible, the student obtaining the highest Group Score in Social Science Group is awarded this prize. The prize was awarded to:

Discussion

2249.	There are two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. How many games were played?
Answer» There are two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. How many games were played?

Discussion

2250.	If Shout starts at 8:30, Mist at 8:15, Trek at 8:00, Fly at 7:45, Jealousy at 7:30, and AbraCadabra at 7:15, and each movie is exactly two hours long, at what time will the next showing of Trek start?
Answer» If Shout starts at 8:30, Mist at 8:15, Trek at 8:00, Fly at 7:45, Jealousy at 7:30, and AbraCadabra at 7:15, and each movie is exactly two hours long, at what time will the next showing of Trek start?

Discussion

Explore topic-wise InterviewSolutions in .

79.Find the number of non nEgative integral solutions of x1+x2+x3+4x4=2

Out of 76 students, 48 play both chess and cricket. How many students play only chess? I. Out of 76 students, 19 students don't play any game, 5 students play only cricket. II. Out of 76 students, 30 are girls and 15 of them don't play any game.

The number of students who take both the subjects math and chemistry is 30. This represents 10% of enrolment in math and 12% of enrolment in chemistry. How many students take at least one of these subjects?

A ball is dropped from the top of a tower the. Distance travelled by the ball in the last second is 40 metre. Find the height of the tower.

Question 7 (iii)In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of 10% per annum.

The infinite sum of 1+47+972+1673+2574+ .......Is k. The Value of 27K is___

What is an infinite loop? Give one example.

The perimeter of right-angled triangle is 60 cm. And it's hypotenuse is 25 cm. Then find the area of the triangle.

54.Two men P and Q are standing at opposite corners A and B of square ABCD of side 8m. They start moving along the track with constant speed 2m/s and 10m/s respectively. Find the time when they will meet for the first time.

In applications of derivatives how to determine the formula which has to be max or min?

A shopkeeper bought 15 kg of rice at the rate of ₹29/kg and 25 kg 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.

How many steps will be required to get the final output from the following input? Input: 31 88 162 447 375 72 29

A ball is dropped from a height of H. The ball bounces on the ground and jumps back up to a height of h. If the ball lost x times its own energy, then what is the value of h in terms of x and H?

How many 4-digit positive integral numbers are there in base 7, if you are counting the numbers in the same base system?

N= 4! + 5!+6!.........200!. Find the last two digits of N

A man noted the distance covered by his car in different time intervals as shown in the table below. Find the average speed of his car. Distance travelled(km) 5 25 25 50 15 Time taken(h) 1 3 6 3 2

A gulab jamun contain sugar syrup up to about 30%of its volume. Find approximately how much syrup would be found in 45 gulab jamun, each shaped like a cylinder with two hemisphere ends with length 5cm and diameter 2.8cm.

ΔABC is a right angled at A and AD is the altitude to BC. If AB = 7 cm and AC = 24 cm. Find the ratio of AD to AM, where M is the midpoint of BC:

Question 10There is a pentagonally shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways,Find the area of this park using both ways. Can you suggest some other way of finding its area?

Question 91The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 631680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago ?

From any point on the circumference of a circle of radius r, chords are drawn to the angular points of the regular inscribed polygon of n side. Show that the sum of the squares of the chords is 2nr^2.

a plane is such that the foot of perpendicular drawn from origin to it is (2,-1,1).the dis†an ce of (1,2,3) from the plane i

Find the smallest number when divided by 7,13,19,25 leaves remainder 1,2,3,4 respectively

145. How many litres of a mixture containing 80% alcohol should be added to 5 litres of a 20% solution to yield a 30% solution?

Frame an algebraic expression for the given situation:Total wages (W) of a man in a day whose basic wage is B, for 't' hours a day and R per hour for overtime. He works a total of 'T' hours in the week.

24. If a b c are in GP then a+b 2b b+c are in

BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.

Students of class VII went to a picnic and spent Rs 96 on snacks. Since four of them skipped the picnic, the remaining students had to contribute Rs 2 extra. The number of students attending the picnic was:

Determine the range of values of real cons†an t k for which the cubic 2x^3-9x^2+12x-k=0 has all roots real

Out of four numbers a, b, c, d, the average of first three is 16 and that of the last three is 17. If d = 19, a is:

The maximum value of f(x)=x3−9x2+24x+5 in the interval [1,6] is

A rubber ball is released from a height of 4.90 m above the floor. It bounces repeatedly,always rising to 81/100 of the height through which it falls. find the vertical distance travelled by the ball.

f(1) = 1 and f(n+1) = 2f(n)+1, for n being a natural number. The value of f(100) is:

Three numbers are selected at random(without replacement ) from first six positive integers . if X denotes the smallest of the three numbers obtained ,find the probability distribution of X. also find the mean and variance of the distribution

The largest set of real values of x for which f(x)=√(x+2)(5−x)−1√x2−4 is real is:

What will be the last step for the following input? Input: 138 63 49 93 89 122 32 71

Prove that the tangent drawn at the mid point of an arc of a circle is parallel to the chord joining the end points of the arc.

The interior angles of a polygon are in AP. If the smallest angle is 120∘ and the common difference is 5∘, then find the possible number of sides of that polygon?

On simplication of 2.6642−2.33620.328 , we get,

Solve for x using wavy curve method:((x ^ 2 - 5)(x ^ 2 - 4))/(x - 1)

Students who obtained Group Scores of at least 95 in every group are eligible to apply for a prize. Among those who are eligible, the student obtaining the highest Group Score in Social Science Group is awarded this prize. The prize was awarded to:

There are two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women. How many games were played?

If Shout starts at 8:30, Mist at 8:15, Trek at 8:00, Fly at 7:45, Jealousy at 7:30, and AbraCadabra at 7:15, and each movie is exactly two hours long, at what time will the next showing of Trek start?