16437 + Interview Questions in Mathematics Page 136 InterviewSolution

6751.	completing the square method
Answer» completing the square method

Discussion

6752.	A metal rod of length 438 m is subjected to the following changes.The final length of the rod will be
Answer» $A metal rod of length 4 \frac{3}{8} m is subjected to the following changes.$ $The final length of the rod will be$

Discussion

6753.	A triangle is made up of different positions of a second hand in a clock as shown below. The triangle formed in the given figure is called?
Answer» A triangle is made up of different positions of a second hand in a clock as shown below. The triangle formed in the given figure is called?

6753.

A triangle is made up of different positions of a second hand in a clock as shown below. The triangle formed in the given figure is called?

Answer»

A triangle is made up of different positions of a second hand in a clock as shown below. The triangle formed in the given figure is called?

Discussion

6754.	Question 1(i)A survey was made to find the type of music that a certain group of young people liked in a city.The adjoining pie chart shows the findings of this survey.From this pie chart, answer the following:If 20 people liked classical music, how many young people were surveyed?
Answer» Question 1(i) A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey. From this pie chart, answer the following: If 20 people liked classical music, how many young people were surveyed?

Discussion

6755.	Thefollowing fractions represent just three different numbers. Separatethem into three groups of equivalent fractions, by changing each oneto its simplest form.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)
Answer» The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)

6755.

Thefollowing fractions represent just three different numbers. Separatethem into three groups of equivalent fractions, by changing each oneto its simplest form.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)

Answer»

The
following fractions represent just three different numbers. Separate
them into three groups of equivalent fractions, by changing each one
to its simplest form.

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) (j)

(k) (l)

Discussion

6756.	A cab ride costs $2 for the first mi, and $1.5 per mi after the first one.What is the maximum distance (in mi) that the cab can cover within a budget of $8?5
Answer» A cab ride costs $$$ 2 for the first mi, and $$$ 1.5 per mi after the first one. What is the maximum distance (in mi) that the cab can cover within a budget of $$$ 8? 5

Discussion

6757.	कविता में व्यक्त प्रकृति-चित्रों को अपने शब्दों में लिखिए।
Answer» कविता में व्यक्त प्रकृति-चित्रों को अपने शब्दों में लिखिए।

Discussion

6758.	Find the difference between 5km 200 m and 2km 700m.
Answer» Find the difference between 5km 200 m and 2km 700m.

Discussion

6759.	Question 1 (i)Find the HCF of the following numbers:18, 54, 81
Answer» Question 1 (i) Find the HCF of the following numbers: 18, 54, 81

6759.

Question 1 (i)Find the HCF of the following numbers:18, 54, 81

Answer»

Question 1 (i)

Find the HCF of the following numbers:

18, 54, 81

Discussion

6760.	The number of apples sold by a shop is given in the table below:DaysNumber of apples soldMonday60Tuesday45Wednesday50Thursday55(a) If the picture of an apple represents 10 apples, then draw the pictograph for the above data.(b) How many apples sold by a shopkeeper in all four days.
Answer» The number of apples sold by a shop is given in the table below: $\begin{matrix} Days & Number of apples sold Monday & 60 Tuesday & 45 Wednesday & 50 Thursday & 55 \end{matrix}$ (a) If the picture of an apple represents 10 apples, then draw the pictograph for the above data. (b) How many apples sold by a shopkeeper in all four days.

Discussion

6761.	People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?
Answer» People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Discussion

6762.	If a rectangle occupies 40 complete grids of area 2 mm2 each, then what is the total area occupied by the rectangle?
Answer» If a rectangle occupies $40$ complete grids of area $2 m m^{2}$ each, then what is the total area occupied by the rectangle?

Discussion

6763.	How many zeroes are there after the decimal point in 0.0000000003468 × 10000
Answer» How many zeroes are there after the decimal point in 0.0000000003468 $\times$ 10000

Discussion

6764.	if d is the HCF of 63 and 81, find x and y satisfying d = 63x + 81y. Also show that x and y are not unique.
Answer» if d is the HCF of 63 and 81, find x and y satisfying d = 63x + 81y. Also show that x and y are not unique.

Discussion

6765.	Number of lines of symmetry for the following regular hexagon is _______.
Answer» Number of lines of symmetry for the following regular hexagon is _______.

6765.

Number of lines of symmetry for the following regular hexagon is _______.

Answer»

Number of lines of symmetry for the following regular hexagon is _______.

Discussion

6766.	Question 9 How much less is 28 km than 42.6 km?
Answer» Question 9 How much less is 28 km than 42.6 km?

Discussion

6767.	"The Speed of a car (s) is 7 more than half of the distance(d) it traveled in an hour."From the above statement, the correct equation representing the relationship is -
Answer» "The Speed of a car (s) is 7 more than half of the distance(d) it traveled in an hour." From the above statement, the correct equation representing the relationship is -

Discussion

6768.	Identify the type of angles for following:(i)(ii)(iii)
Answer» Identify the type of angles for following: (i) (ii) (iii)

Discussion

6769.	Find the distance traveled by raju if he takes 4 rounds of a hexagonal shaped park if side 100m.
Answer» Find the distance traveled by raju if he takes 4 rounds of a hexagonal shaped park if side 100m.

Discussion

6770.	You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?
Answer» You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

6770.

You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

Answer»

You have to complete your homework as soon as possible, as you were already late for your Mathematics tuition. You looked at the hands of the clock; the two hands were in different positions at different point of time as they move along the dial. The two hands represent two rays meeting at a point when those two ends have a common end point. What do they form?

Discussion

6771.	Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
Answer» Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.

Discussion

6772.	Dis vrai/faux :1. Akanksha préfère faire le ménage au baby-sitting parce que c’est plus amusant.2. En général, les jeunes Français reçoivent de l’argent de poche régulièrement.3. Ils n’ont pas envie de faire de petits boulots.
Answer» Dis vrai/faux : 1. Akanksha préfère faire le ménage au baby-sitting parce que c’est plus amusant. 2. En général, les jeunes Français reçoivent de l’argent de poche régulièrement. 3. Ils n’ont pas envie de faire de petits boulots.

Discussion

6773.	The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?
Answer» The H.C.F. of two numbers is $12$ and their difference is $12.$ Which of the following can be the numbers?

Discussion

6774.	Subtract 512 from 1718.
Answer» $S u b t r a c t \frac{5}{12} f r o m \frac{17}{18} .$

Discussion

6775.	The value of 19.63.2=
Answer» The value of $\frac{19.6}{3.2} =$

Discussion

6776.	If 1 : x :: y : 2 Which of the following statements is true ?
Answer» If 1 : x :: y : 2 Which of the following statements is true ?

Discussion

6777.	How many whole numbers are between 437 and 487 ?(a) 50 (b) 49 (c) 51 (d) None of these
Answer» How many whole numbers are between 437 and 487 ? (a) 50 (b) 49 (c) 51 (d) None of these

Discussion

6778.	2. The floor of rectangular hall has a perimeter 150m .if the cost of painting the four walls at the rate ofRS10perm is 9000 find the height
Answer» 2. The floor of rectangular hall has a perimeter 150m .if the cost of painting the four walls at the rate ofRS10perm is 9000 find the height

Discussion

6779.	Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each. Find his gain or loss percent.
Answer» Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each. Find his gain or loss percent.

Discussion

6780.	Evaluate 1510+20+40-5-80, it being given that 5=2.236 and 10=3.162.Hint1510+20+40-5-80=1510+25+210-5-45=15310-35=510-5
Answer» Evaluate $\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}$ , it being given that $\sqrt{5} = 2.236 and \sqrt{10} = 3.162$ . Hint $\begin{array}{rcl} \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} & = & \frac{15}{\sqrt{10} + 2 \sqrt{5} + 2 \sqrt{10} - \sqrt{5} - 4 \sqrt{5}} \\ = & \frac{15}{3 \sqrt{10} - 3 \sqrt{5}} = \frac{5}{\sqrt{10} - \sqrt{5}} \end{array}$

Discussion

6781.	मिट्टी और बीज से संबंधित और भी कविताएँ हैं, जैसे सुमित्रानंदन पंत की 'बीज'। अन्य कवियों की ऐसी कविताओं का संकलन कीजिए और भित्ति पत्रिका में उनका उपयोग कीजिए।
Answer» मिट्टी और बीज से संबंधित और भी कविताएँ हैं, जैसे सुमित्रानंदन पंत की 'बीज'। अन्य कवियों की ऐसी कविताओं का संकलन कीजिए और भित्ति पत्रिका में उनका उपयोग कीजिए।

Discussion

6782.	If the perimeter of the given rectangle is 16 m, what will be its breadth?
Answer» If the perimeter of the given rectangle is 16 m, what will be its breadth?

Discussion

6783.	Walkie talkie
Answer» Walkie talkie

Discussion

6784.	Match the following: Column AColumn B1.{1,2,4,8}A.{x: x is a natural even number less than 10}2.{2}B.{x: x is a prime number and a divisor of 8}3.{2,4,6,8}C.{x: x is a divisor of 8}4.{4,6,8,9}D.{x: x is a composite number less than 10}
Answer» Match the following: $\begin{matrix} Column A & Column B 1. {1, 2, 4, 8} & A . {x: x is a natural even number less than 10} 2. {2} & B . {x: x is a prime number and a divisor of 8} 3. {2, 4, 6, 8} & C . {x: x is a divisor of 8} 4. {4, 6, 8, 9} & D . {x: x is a composite number less than 10} \end{matrix}$

6784.

Match the following: Column AColumn B1.{1,2,4,8}A.{x: x is a natural even number less than 10}2.{2}B.{x: x is a prime number and a divisor of 8}3.{2,4,6,8}C.{x: x is a divisor of 8}4.{4,6,8,9}D.{x: x is a composite number less than 10}

Answer»

Match the following:

$\begin{matrix} Column A & Column B 1. {1, 2, 4, 8} & A . {x: x is a natural even number less than 10} 2. {2} & B . {x: x is a prime number and a divisor of 8} 3. {2, 4, 6, 8} & C . {x: x is a divisor of 8} 4. {4, 6, 8, 9} & D . {x: x is a composite number less than 10} \end{matrix}$

Discussion

6785.	An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm long, then the area of the triangle is _____ cm2.
Answer» An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm long, then the area of the triangle is _____ cm $^{2}$ .

Discussion

6786.	22. Find the largest number that divides 2053 and 967 and leaves a reminder of 5 & 7 respectively
Answer» 22. Find the largest number that divides 2053 and 967 and leaves a reminder of 5 & 7 respectively

Discussion

6787.	Can you now mentally reduce the fraction below to their lowest terms?(i) (ii) (iii) (iv) (v) (vi)
Answer» Can you now mentally reduce the fraction below to their lowest terms? (i) (ii) (iii) (iv) (v) (vi)

6787.

Can you now mentally reduce the fraction below to their lowest terms?(i) (ii) (iii) (iv) (v) (vi)

Answer»

Can you now mentally reduce the fraction below to their lowest terms?

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Discussion

6788.	Two equal circles intersect at A and B .Through B a straight line is drawn to meet the circumference at X and Y. Which of following is true?
Answer» Two equal circles intersect at A and B .Through B a straight line is drawn to meet the circumference at X and Y. Which of following is true?

Discussion

6789.	The areas of two squares ABCD and PQRS are in the ratio of 4 : 9. If the area of ABCD is 144 sq cm, then find the perimeter of square PQRS.
Answer» The areas of two squares ABCD and PQRS are in the ratio of 4 : 9. If the area of ABCD is 144 sq cm, then find the perimeter of square PQRS.

Discussion

6790.	Question 54Solve the following:0.2x+53.5x−3=25
Answer» Question 54 Solve the following: $\frac{0.2 x + 5}{3.5 x - 3} = \frac{2}{5}$

6790.

Question 54Solve the following:0.2x+53.5x−3=25

Answer»

Question 54

Solve the following:

$\frac{0.2 x + 5}{3.5 x - 3} = \frac{2}{5}$

Discussion

6791.	1235 is ____ 12345.
Answer» 1235 is ____ 12345.

Discussion

6792.	If 40 bags of cotton costs ₹ 2,200, then how much would 25 bags of cotton cost?
Answer» If 40 bags of cotton costs ₹ 2,200, then how much would 25 bags of cotton cost?

Discussion

6793.	Match the percentages with the fractions.
Answer» Match the percentages with the fractions.

Discussion

6794.	9 years hence, a girl will be 3 times old as she was 9 yra ago. How old is he now. Answer : 18 years
Answer» 9 years hence, a girl will be 3 times old as she was 9 yra ago. How old is he now. Answer : 18 years

Discussion

6795.	What is the length of the side of the square if area of the square is 9 cm2?
Answer» What is the length of the side of the square if area of the square is 9 $c m^{2}$ ?

Discussion

6796.	45 For all sets A,B and C, show that (A-B) intersection(C-B)=A-(BUC)
Answer» 45 For all sets A,B and C, show that (A-B) intersection(C-B)=A-(BUC)

Discussion

6797.	There are 30 sweets. Lincy took of them and Johny took of them. How many sweets did they together take?
Answer» There are 30 sweets. Lincy took of them and Johny took of them. How many sweets did they together take?

Discussion

6798.	Pair the correct fractions.
Answer» Pair the correct fractions.

Discussion

6799.	Q53. A team of 11 is to be selected from 7 batsmen and 6 bowlers available. The team must have at least 5 bowlers. In how many ways can it be done? 7 बल्लेबाज और 6 गेंदबाजों में से 11 व्यक्तियों की एक टीम चुनी जानी है। टीम में कम से कम 5 गेंदबाज होने चाहिए। ऐसा कितने तरीकों से किया जा सकता है?
Answer» Q53. A team of 11 is to be selected from 7 batsmen and 6 bowlers available. The team must have at least 5 bowlers. In how many ways can it be done? 7 बल्लेबाज और 6 गेंदबाजों में से 11 व्यक्तियों की एक टीम चुनी जानी है। टीम में कम से कम 5 गेंदबाज होने चाहिए। ऐसा कितने तरीकों से किया जा सकता है?

6799.

Q53. A team of 11 is to be selected from 7 batsmen and 6 bowlers available. The team must have at least 5 bowlers. In how many ways can it be done? 7 बल्लेबाज और 6 गेंदबाजों में से 11 व्यक्तियों की एक टीम चुनी जानी है। टीम में कम से कम 5 गेंदबाज होने चाहिए। ऐसा कितने तरीकों से किया जा सकता है?

Answer»

Q53. A team of 11 is to be selected from 7 batsmen and 6 bowlers available. The team must have at least 5 bowlers. In how many ways can it be done?

7 बल्लेबाज और 6 गेंदबाजों में से 11 व्यक्तियों की एक टीम चुनी जानी है। टीम में कम से कम 5 गेंदबाज होने चाहिए। ऐसा कितने तरीकों से किया जा सकता है?

Discussion

6800.	The area of a rectangle is equal to 240 square centimetres. What is the length of the rectangle if its breadth is 12 cms
Answer» The area of a rectangle is equal to 240 square centimetres. What is the length of the rectangle if its breadth is 12 cms

Discussion

Explore topic-wise InterviewSolutions in .

completing the square method

A metal rod of length 438 m is subjected to the following changes.The final length of the rod will be

A triangle is made up of different positions of a second hand in a clock as shown below. The triangle formed in the given figure is called?

Question 1(i)A survey was made to find the type of music that a certain group of young people liked in a city.The adjoining pie chart shows the findings of this survey.From this pie chart, answer the following:If 20 people liked classical music, how many young people were surveyed?

Thefollowing fractions represent just three different numbers. Separatethem into three groups of equivalent fractions, by changing each oneto its simplest form.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)

A cab ride costs $2 for the first mi, and $1.5 per mi after the first one.What is the maximum distance (in mi) that the cab can cover within a budget of $8?5

कविता में व्यक्त प्रकृति-चित्रों को अपने शब्दों में लिखिए।

Find the difference between 5km 200 m and 2km 700m.

Question 1 (i)Find the HCF of the following numbers:18, 54, 81

The number of apples sold by a shop is given in the table below:DaysNumber of apples soldMonday60Tuesday45Wednesday50Thursday55(a) If the picture of an apple represents 10 apples, then draw the pictograph for the above data.(b) How many apples sold by a shopkeeper in all four days.

People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

If a rectangle occupies 40 complete grids of area 2 mm2 each, then what is the total area occupied by the rectangle?

How many zeroes are there after the decimal point in 0.0000000003468 × 10000

if d is the HCF of 63 and 81, find x and y satisfying d = 63x + 81y. Also show that x and y are not unique.

Number of lines of symmetry for the following regular hexagon is _______.

Question 9 How much less is 28 km than 42.6 km?

"The Speed of a car (s) is 7 more than half of the distance(d) it traveled in an hour."From the above statement, the correct equation representing the relationship is -

Identify the type of angles for following:(i)(ii)(iii)

Find the distance traveled by raju if he takes 4 rounds of a hexagonal shaped park if side 100m.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.

Dis vrai/faux :1. Akanksha préfère faire le ménage au baby-sitting parce que c’est plus amusant.2. En général, les jeunes Français reçoivent de l’argent de poche régulièrement.3. Ils n’ont pas envie de faire de petits boulots.

The H.C.F. of two numbers is 12 and their difference is 12. Which of the following can be the numbers?

Subtract 512 from 1718.

The value of 19.63.2=

If 1 : x :: y : 2 Which of the following statements is true ?

How many whole numbers are between 437 and 487 ?(a) 50 (b) 49 (c) 51 (d) None of these

2. The floor of rectangular hall has a perimeter 150m .if the cost of painting the four walls at the rate ofRS10perm is 9000 find the height

Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each. Find his gain or loss percent.

Evaluate 1510+20+40-5-80, it being given that 5=2.236 and 10=3.162.Hint1510+20+40-5-80=1510+25+210-5-45=15310-35=510-5

If the perimeter of the given rectangle is 16 m, what will be its breadth?

Walkie talkie

Match the following: Column AColumn B1.{1,2,4,8}A.{x: x is a natural even number less than 10}2.{2}B.{x: x is a prime number and a divisor of 8}3.{2,4,6,8}C.{x: x is a divisor of 8}4.{4,6,8,9}D.{x: x is a composite number less than 10}

An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm long, then the area of the triangle is _____ cm2.

22. Find the largest number that divides 2053 and 967 and leaves a reminder of 5 & 7 respectively

Can you now mentally reduce the fraction below to their lowest terms?(i) (ii) (iii) (iv) (v) (vi)

Two equal circles intersect at A and B .Through B a straight line is drawn to meet the circumference at X and Y. Which of following is true?

The areas of two squares ABCD and PQRS are in the ratio of 4 : 9. If the area of ABCD is 144 sq cm, then find the perimeter of square PQRS.

Question 54Solve the following:0.2x+53.5x−3=25

1235 is ____ 12345.

If 40 bags of cotton costs ₹ 2,200, then how much would 25 bags of cotton cost?

Match the percentages with the fractions.

9 years hence, a girl will be 3 times old as she was 9 yra ago. How old is he now. Answer : 18 years

What is the length of the side of the square if area of the square is 9 cm2?

45 For all sets A,B and C, show that (A-B) intersection(C-B)=A-(BUC)

There are 30 sweets. Lincy took of them and Johny took of them. How many sweets did they together take?

Pair the correct fractions.

The area of a rectangle is equal to 240 square centimetres. What is the length of the rectangle if its breadth is 12 cms