5411 + Interview Questions in Quantitative Aptitude Page 22 InterviewSolution

1051.	In 2001, what percentage of men and boys were literate?
Answer» In 2001, what percentage of men and boys were literate?

Discussion

1052.	Question 31Find the sum of first seven numbers which are multiples of 2 as well as of 9.
Answer» Question 31 Find the sum of first seven numbers which are multiples of 2 as well as of 9.

Discussion

1053.	The age of 30 workers in a factory are as follows AgeNo. of workers245257268274286 (i) Find the mean,median and mode for the above ungrouped data.
Answer» The age of 30 workers in a factory are as follows $\begin{matrix} Age & No. of workers 24 & 5 25 & 7 26 & 8 27 & 4 28 & 6 \end{matrix}$ (i) Find the mean,median and mode for the above ungrouped data.

Discussion

1054.	Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins
Answer» Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins

Discussion

1055.	Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is
Answer» Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

Discussion

1056.	How to find the collinearity of the three points in both 2D and 3D spaces?
Answer» How to find the collinearity of the three points in both 2D and 3D spaces?

Discussion

1057.	If we consider the angle made between the hour hand and the minute hand of a clock, then at what time is a right angle formed?
Answer» If we consider the angle made between the hour hand and the minute hand of a clock, then at what time is a right angle formed?

Discussion

1058.	The number of prime factors in the expression (6)10×(7)17×(11)27 is:
Answer» The number of prime factors in the expression $(6)^{10} \times (7)^{17} \times (11)^{27}$ is:

Discussion

1059.	By selling 8 pens Shayam loses equal to the cost price of 2 pens. Find his loss percent
Answer» By selling 8 pens Shayam loses equal to the cost price of 2 pens. Find his loss percent

Discussion

1060.	The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option: Among five friends - J, K, L, M and N each of a different height, who is the second tallest? I. N is taller than M and K. K is shorter than M. II. L is taller than N. J is not the tallest.
Answer» The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option: Among five friends - J, K, L, M and N each of a different height, who is the second tallest? I. N is taller than M and K. K is shorter than M. II. L is taller than N. J is not the tallest.

Discussion

1061.	For 9 cows, 13 kg 500 g of food supplements are required every day. In the same proportion, how much will be needed for 12 cows?
Answer» For $9$ cows, $13 k g 500 g$ of food supplements are required every day. In the same proportion, how much will be needed for $12$ cows?

Discussion

1062.	The ratio of a two-digit natural number to a number formed by reversing its digits is 4:7. Which of the following is the sum of all the such numbers?
Answer» The ratio of a two-digit natural number to a number formed by reversing its digits is $4 : 7.$ Which of the following is the sum of all the such numbers?

Discussion

1063.	n couples are invited to a party with the condition that every husband should be accompanied by his wife. However, a wife need not be accompanied by her husband. The number of different gatherings possible at the party is
Answer» n couples are invited to a party with the condition that every husband should be accompanied by his wife. However, a wife need not be accompanied by her husband. The number of different gatherings possible at the party is

Discussion

1064.	17. A wholesale dealer charges Rs 20 for the first quarter of a metre of cloth and Rs 10 for every additional quarter of metre. Find the charges in rupees for Y metre cloth?
Answer» 17. A wholesale dealer charges Rs 20 for the first quarter of a metre of cloth and Rs 10 for every additional quarter of metre. Find the charges in rupees for Y metre cloth?

Discussion

1065.	Question 3 (i)For the following A.Ps, write the first term and the common difference.(i) 3, 1, - 1, - 3 …
Answer» Question 3 (i) For the following A.Ps, write the first term and the common difference. (i) 3, 1, - 1, - 3 …

Discussion

1066.	Q. Out of a group of 8 boys and 4 girls, a committee of 4 students is to be selected. What is the probability of exactly 2 girls getting selected in the committee?
Answer» Q. Out of a group of 8 boys and 4 girls, a committee of 4 students is to be selected. What is the probability of exactly 2 girls getting selected in the committee?

Discussion

1067.	If we have to select 3 person for 3 places, then how many way can I can select ? and why ?
Answer» If we have to select 3 person for 3 places, then how many way can I can select ? and why ?

Discussion

1068.	If ratio of sum of first n terms of 2 APs is (7n+1):(4n+27), then find the ratio of their mth term?
Answer» If ratio of sum of first n terms of 2 APs is (7n+1):(4n+27), then find the ratio of their mth term?

Discussion

1069.	Juan has forty dollars in his jacket. Every day he spends half of the money that is in thejacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On whatday will he start with less than $3.00 in his jacket?A) FridayB) ThursdayC) TuesdayD) Saturday
Answer» Juan has forty dollars in his jacket. Every day he spends half of the money that is in the jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what day will he start with less than $3.00 in his jacket? A) Friday B) Thursday C) Tuesday D) Saturday

Discussion

1070.	Question 8If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.
Answer» Question 8 If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.

Discussion

1071.	35.A ball rolls from the edge of the top step of a stair case with horizontal speed 5m/s. Each step is of 2 m high and 1 m width. The ball hits at- (a) 10th step (b) 5th step (c) 2nd step (d) 3rd step
Answer» 35.A ball rolls from the edge of the top step of a stair case with horizontal speed 5m/s. Each step is of 2 m high and 1 m width. The ball hits at- (a) 10th step (b) 5th step (c) 2nd step (d) 3rd step

Discussion

1072.	Ahmed Chacha borrowed rupees 25000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?
Answer» Ahmed Chacha borrowed rupees 25000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

Discussion

1073.	Draw a quadrilateral in the cartesian plane, whose vertices are (-4, 5), (0, 7), (5, -5) and (-4, -2). Also find its area.
Answer» Draw a quadrilateral in the cartesian plane, whose vertices are (-4, 5), (0, 7), (5, -5) and (-4, -2). Also find its area.

Discussion

1074.	Question 90A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?
Answer» Question 90 A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?

1074.

Question 90A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?

Answer»

Question 90

A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?

Discussion

1075.	Prove x2n−y2n is divisible by x + y for all natural numbers.
Answer» Prove $x^{2 n} - y^{2 n}$ is divisible by x + y for all natural numbers.

Discussion

1076.	Manju, who works at Ganesh Fruit juice center, prepares 51 glasses of milkshake in 4 min, 18 sec in his first shift. After having a sandwich, he prepares 73 glasses in 7 min 13 sec. After another sandwich, he prepares 112 glasses in 12 min, 24 sec. The container in which the milkshake is prepared contains a maximum of 9 glasses of a drink at a time. The approximate average time (to the nearest integer) of preparation of one container of the drink, if he starts with a fresh container each time is (in seconds) ___
Answer» Manju, who works at Ganesh Fruit juice center, prepares 51 glasses of milkshake in 4 min, 18 sec in his first shift. After having a sandwich, he prepares 73 glasses in 7 min 13 sec. After another sandwich, he prepares 112 glasses in 12 min, 24 sec. The container in which the milkshake is prepared contains a maximum of 9 glasses of a drink at a time. The approximate average time (to the nearest integer) of preparation of one container of the drink, if he starts with a fresh container each time is (in seconds) ___

Discussion

1077.	15 persons which include A, B, C are to speak at a function. Find the number of ways in which it can be done, if A wants to speak before B and B wants to speak before C.
Answer» 15 persons which include A, B, C are to speak at a function. Find the number of ways in which it can be done, if A wants to speak before B and B wants to speak before C.

Discussion

1078.	Find the area of the shaded region in the diagram below where the given triangle is isosceles with vertices of base lying on the axis of the radius perpendicular to the diameters of the two small semicircles.
Answer» Find the area of the shaded region in the diagram below where the given triangle is isosceles with vertices of base lying on the axis of the radius perpendicular to the diameters of the two small semicircles.

Discussion

1079.	How many AP with 10 terms are there whose first term is in the set {1,2,3} and whose common difference is in the set {2,3,4}
Answer» How many AP with 10 terms are there whose first term is in the set {1,2,3} and whose common difference is in the set {2,3,4}

Discussion

1080.	What is the value of 1×1!+2×2!+3×3!+............n×n!; where n! means n factorial or n(n-1)(n-2)...1
Answer» What is the value of $1 \times 1! + 2 \times 2! + 3 \times 3! + . . . . . . . . . . . . n \times n!$ ; where n! means n factorial or n(n-1)(n-2)...1

Discussion

1081.	A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by how much?
Answer» A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by how much?

Discussion

1082.	Find the number of different 8− letter arrangements that can be made from the letters of the word DAUGHTER so that:(i) All vowels occur together(ii) All vowels do not occur together.
Answer» Find the number of different $8 -$ letter arrangements that can be made from the letters of the word $D A U G H T E R$ so that: $(i)$ All vowels occur together $(i i)$ All vowels do not occur together.

Discussion

1083.	Find the inverse of f(x)=(4−(x−7)3)1/5
Answer» Find the inverse of $f (x) = (4 - (x - 7)^{3})^{1 / 5}$

Discussion

1084.	29. If a ball is dropped from any height what Will be its distance travelled in 4th second.
Answer» 29. If a ball is dropped from any height what Will be its distance travelled in 4th second.

Discussion

1085.	Question 9In Fig. 12.27, AB and CD are two diameters of a circle (with center O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
Answer» Question 9 In Fig. 12.27, AB and CD are two diameters of a circle (with center O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Discussion

1086.	The total number of animals together in the grassland of China in the year 1990 is approximately what percent of the total number of bears in the grassland of Sri Lanka over all the years together?
Answer» The total number of animals together in the grassland of China in the year 1990 is approximately what percent of the total number of bears in the grassland of Sri Lanka over all the years together?

Discussion

1087.	A book shopkeeper gives a discount of 30% on a book and makes a profit of 20% . If the book shopkeeper had given a discount of Rs. 400, he would have incurred a loss of 20% . Find the marked price (in Rs) of the book.
Answer» A book shopkeeper gives a discount of $30 %$ on a book and makes a profit of $20 %$ . If the book shopkeeper had given a discount of Rs. 400, he would have incurred a loss of $20 %$ . Find the marked price (in Rs) of the book.

Discussion

1088.	Write the following sets in the tabular form : {p:p=3n+1,where n belongs to W and 2<=n<=5}
Answer» Write the following sets in the tabular form : {p:p=3n+1,where n belongs to W and 2<=n<=5}

1088.

Write the following sets in the tabular form : {p:p=3n+1,where n belongs to W and 2<=n<=5}

Answer»

Write the following sets in the tabular form :

{p:p=3n+1,where n belongs to W and 2<=n<=5}

Discussion

1089.	Three congruent circles with centres A,B and C with radius 5 cm each, touch each other in point D,E,F as shown in figure.(i) What is the perimeter of ΔABC?(ii) What is the length of side DF of ΔDEF?
Answer» Three congruent circles with centres A,B and C with radius 5 cm each, touch each other in point D,E,F as shown in figure. (i) What is the perimeter of ΔABC? (ii) What is the length of side DF of ΔDEF?

Discussion

1090.	Who among the following is seated exactly between H and E?
Answer» Who among the following is seated exactly between H and E?

Discussion

1091.	What will be the compound interest accrued on a sum of Rs. 35000 at the rate of 8 p.c.p.a. in 2 years?
Answer» What will be the compound interest accrued on a sum of Rs. 35000 at the rate of 8 p.c.p.a. in 2 years?

Discussion

1092.	What is the probability of getting a sum of 7 on rolling a pair of dice?
Answer» What is the probability of getting a sum of 7 on rolling a pair of dice?

Discussion

1093.	Person A wrote first N consecutive natural numbers on a board and found their sum. Another Person B came and deleted the smallest number and found the sum of remaining numbers. The process continued until just N remained on the board. The average of all the sums is found to out to be 105. Find N.
Answer» Person A wrote first N consecutive natural numbers on a board and found their sum. Another Person B came and deleted the smallest number and found the sum of remaining numbers. The process continued until just N remained on the board. The average of all the sums is found to out to be 105. Find N.

Discussion

1094.	If for n∈ N, ∑_{k=0}^{2n}(-1)^k({}^{2n}C_k)^2=A, then find the value of ∑_{k=0}^{2n}(-1)^k(k-2n)({}^{2n}C_k)^2.
Answer» If for n∈ N, ∑_{k=0}^{2n}(-1)^k({}^{2n}C_k)^2=A, then find the value of ∑_{k=0}^{2n}(-1)^k(k-2n)({}^{2n}C_k)^2.

Discussion

1095.	Determine the radius of the circle, two of whose tangents are the lines 2x+3y-9 = 0 and 4x+6y+19 =0
Answer» Determine the radius of the circle, two of whose tangents are the lines 2x+3y-9 = 0 and 4x+6y+19 =0

Discussion

1096.	The minimum possible value of the sum of squares of the roots of the equation x2+(a+3)x−(a+5)=0 is
Answer» The minimum possible value of the sum of squares of the roots of the equation $x^{2} + (a + 3) x - (a + 5) = 0$ is

Discussion

1097.	In a cricket match, five batsmen A,B,C,D and E scored an average of 36 runs. D scored 5 more than E, E scored 8 fewer than A, B scored as many as D and E combined; and B and C scored 107 between them. The runs scored by E are_20
Answer» In a cricket match, five batsmen A,B,C,D and E scored an average of 36 runs. D scored 5 more than E, E scored 8 fewer than A, B scored as many as D and E combined; and B and C scored 107 between them. The runs scored by E are_ 20

Discussion

1098.	How can we assume that four numbers in AP are of the form (a-3d),(a-d)(a+d)and (a-3d) ? How to represent 5,6,7... in AP?
Answer» How can we assume that four numbers in AP are of the form (a-3d),(a-d)(a+d)and (a-3d) ? How to represent 5,6,7... in AP?

Discussion

1099.	The largest non-negative integer k such that 24k divides 13! is.
Answer» The largest non-negative integer k such that $24^{k}$ divides 13! is.

Discussion

1100.	In a class of 70 students,45 studenta have passed.what is the passing percentage of students?
Answer» In a class of 70 students,45 studenta have passed.what is the passing percentage of students?

Discussion

Explore topic-wise InterviewSolutions in .

In 2001, what percentage of men and boys were literate?

Question 31Find the sum of first seven numbers which are multiples of 2 as well as of 9.

The age of 30 workers in a factory are as follows AgeNo. of workers245257268274286 (i) Find the mean,median and mode for the above ungrouped data.

Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins

Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is

How to find the collinearity of the three points in both 2D and 3D spaces?

If we consider the angle made between the hour hand and the minute hand of a clock, then at what time is a right angle formed?

The number of prime factors in the expression (6)10×(7)17×(11)27 is:

By selling 8 pens Shayam loses equal to the cost price of 2 pens. Find his loss percent ​​​​​​

For 9 cows, 13 kg 500 g of food supplements are required every day. In the same proportion, how much will be needed for 12 cows?

The ratio of a two-digit natural number to a number formed by reversing its digits is 4:7. Which of the following is the sum of all the such numbers?

n couples are invited to a party with the condition that every husband should be accompanied by his wife. However, a wife need not be accompanied by her husband. The number of different gatherings possible at the party is

17. A wholesale dealer charges Rs 20 for the first quarter of a metre of cloth and Rs 10 for every additional quarter of metre. Find the charges in rupees for Y metre cloth?

Question 3 (i)For the following A.Ps, write the first term and the common difference.(i) 3, 1, - 1, - 3 …

Q. Out of a group of 8 boys and 4 girls, a committee of 4 students is to be selected. What is the probability of exactly 2 girls getting selected in the committee?

If we have to select 3 person for 3 places, then how many way can I can select ? and why ?

If ratio of sum of first n terms of 2 APs is (7n+1):(4n+27), then find the ratio of their mth term?

Juan has forty dollars in his jacket. Every day he spends half of the money that is in thejacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On whatday will he start with less than $3.00 in his jacket?A) FridayB) ThursdayC) TuesdayD) Saturday

Question 8If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.

35.A ball rolls from the edge of the top step of a stair case with horizontal speed 5m/s. Each step is of 2 m high and 1 m width. The ball hits at- (a) 10th step (b) 5th step (c) 2nd step (d) 3rd step

Ahmed Chacha borrowed rupees 25000 at 12 p.c.p.a. for a year. What amount will he have to return to the bank at the end of the year?

Draw a quadrilateral in the cartesian plane, whose vertices are (-4, 5), (0, 7), (5, -5) and (-4, -2). Also find its area.

Question 90A new computer costs Rs. 100000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years ?

Prove x2n−y2n is divisible by x + y for all natural numbers.

15 persons which include A, B, C are to speak at a function. Find the number of ways in which it can be done, if A wants to speak before B and B wants to speak before C.

Find the area of the shaded region in the diagram below where the given triangle is isosceles with vertices of base lying on the axis of the radius perpendicular to the diameters of the two small semicircles.

How many AP with 10 terms are there whose first term is in the set {1,2,3} and whose common difference is in the set {2,3,4}

What is the value of 1×1!+2×2!+3×3!+............n×n!; where n! means n factorial or n(n-1)(n-2)...1

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by how much?

Find the number of different 8− letter arrangements that can be made from the letters of the word DAUGHTER so that:(i) All vowels occur together(ii) All vowels do not occur together.

Find the inverse of f(x)=(4−(x−7)3)1/5

29. If a ball is dropped from any height what Will be its distance travelled in 4th second.

Question 9In Fig. 12.27, AB and CD are two diameters of a circle (with center O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

The total number of animals together in the grassland of China in the year 1990 is approximately what percent of the total number of bears in the grassland of Sri Lanka over all the years together?

A book shopkeeper gives a discount of 30% on a book and makes a profit of 20% . If the book shopkeeper had given a discount of Rs. 400, he would have incurred a loss of 20% . Find the marked price (in Rs) of the book.

Write the following sets in the tabular form : {p:p=3n+1,where n belongs to W and 2&lt;=n&lt;=5}

Three congruent circles with centres A,B and C with radius 5 cm each, touch each other in point D,E,F as shown in figure.(i) What is the perimeter of ΔABC?(ii) What is the length of side DF of ΔDEF?

Who among the following is seated exactly between H and E?

What will be the compound interest accrued on a sum of Rs. 35000 at the rate of 8 p.c.p.a. in 2 years?

What is the probability of getting a sum of 7 on rolling a pair of dice?

Person A wrote first N consecutive natural numbers on a board and found their sum. Another Person B came and deleted the smallest number and found the sum of remaining numbers. The process continued until just N remained on the board. The average of all the sums is found to out to be 105. Find N.

If for n∈ N, ∑_{k=0}^{2n}(-1)^k({}^{2n}C_k)^2=A, then find the value of ∑_{k=0}^{2n}(-1)^k(k-2n)({}^{2n}C_k)^2.

Determine the radius of the circle, two of whose tangents are the lines 2x+3y-9 = 0 and 4x+6y+19 =0

The minimum possible value of the sum of squares of the roots of the equation x2+(a+3)x−(a+5)=0 is

In a cricket match, five batsmen A,B,C,D and E scored an average of 36 runs. D scored 5 more than E, E scored 8 fewer than A, B scored as many as D and E combined; and B and C scored 107 between them. The runs scored by E are_20

How can we assume that four numbers in AP are of the form (a-3d),(a-d)(a+d)and (a-3d) ? How to represent 5,6,7... in AP?

The largest non-negative integer k such that 24k divides 13! is.

In a class of 70 students,45 studenta have passed.what is the passing percentage of students?

By selling 8 pens Shayam loses equal to the cost price of 2 pens. Find his loss percent

Write the following sets in the tabular form : {p:p=3n+1,where n belongs to W and 2<=n<=5}