16437 + Interview Questions in Mathematics Page 53 InterviewSolution

2601.	The locus of the point of intersection of the lines 3x-y-43k = 0 and 3kx+ky-43=0 for different values of k is the hyperbola__________________________.
Answer» The locus of the point of intersection of the lines $\sqrt{3} x - y - 4 \sqrt{3} k = 0 and \sqrt{3} k x + k y - 4 \sqrt{3} = 0$ for different values of k is the hyperbola__________________________.

Discussion

2602.	What is fraction?
Answer» What is fraction?

Discussion

2603.	Find the least number of square tiles which can cover the floor of a rectangular shape having length and breath 16 metres 58 centimetre and 8 metres 32 centimetre respectively.
Answer» Find the least number of square tiles which can cover the floor of a rectangular shape having length and breath 16 metres 58 centimetre and 8 metres 32 centimetre respectively.

Discussion

2604.	If there are 24 divisions on a circle, what is the measure of angle for two divisions?
Answer» If there are 24 divisions on a circle, what is the measure of angle for two divisions?

Discussion

2605.	In a school, there were six holidays in the month of April. Find the ratio of number of holidays to the total number of days in the month of April.
Answer» In a school, there were six holidays in the month of April. Find the ratio of number of holidays to the total number of days in the month of April.

Discussion

2606.	A cubical water tank holds 125 litres of water. What will be the cost of whitewashing its outer walls, if the rate is $10/ cm2 ?
Answer» A cubical water tank holds $125$ litres of water. What will be the cost of whitewashing its outer walls, if the rate is $$ 10 /$ cm $^{2}$ ?

Discussion

2607.	Identify the front view, side view and top view of the image shown below.
Answer» Identify the front view, side view and top view of the image shown below.

Discussion

2608.	Question 2 For the given figure, which one is the mirror line, l1 or l2 ?
Answer» Question 2 For the given figure, which one is the mirror line, $l_{1} o r l_{2}$ ?

2608.

Question 2 For the given figure, which one is the mirror line, l1 or l2 ?

Answer»

Question 2

For the given figure, which one is the mirror line, $l_{1} o r l_{2}$ ?

Discussion

2609.	In the given figure PQ \|\| RS, TR \|\| QU and ∠PTR=42∘. Find ∠QUR.
Answer» In the given figure PQ \|\| RS, TR \|\| QU and $∠ P T R = 42^{\circ}$ . Find $∠ Q U R .$

Discussion

2610.	Convert 275 into a mixed fraction.
Answer» Convert $\frac{27}{5}$ into a mixed fraction.

Discussion

2611.	The HCF of two number a and b is 5 and their LCM is 200. Find the product ab.
Answer» The HCF of two number a and b is 5 and their LCM is 200. Find the product ab.

Discussion

2612.	The dimensions and unit of phase constant Ø is
Answer» The dimensions and unit of phase constant Ø is

Discussion

2613.	Can you write down the meaning of the following percent in terms of fractions in lowest terms?(i) 5%(ii) 60%(iii) 75%(iv) 175%(v) 2%(vi) 4%(vii) 108%(viii) 200%
Answer» Can you write down the meaning of the following percent in terms of fractions in lowest terms? (i) 5% (ii) 60% (iii) 75% (iv) 175% (v) 2% (vi) 4% (vii) 108% (viii) 200%

2613.

Can you write down the meaning of the following percent in terms of fractions in lowest terms?(i) 5%(ii) 60%(iii) 75%(iv) 175%(v) 2%(vi) 4%(vii) 108%(viii) 200%

Answer»

Can you write down the meaning of the following percent in terms of fractions in lowest terms?

(i) 5%

(ii) 60%

(iii) 75%

(iv) 175%

(v) 2%

(vi) 4%

(vii) 108%

(viii) 200%

Discussion

2614.	(−5)+(−7)−(−2)−(+6) = ______
Answer» $(- 5) + (- 7) - (- 2) - (+ 6)$ = ______

Discussion

2615.	क्या लाल का व्यवहार सरकार के विरुद्ध षड्यंत्रकारी था?
Answer» क्या लाल का व्यवहार सरकार के विरुद्ध षड्यंत्रकारी था?

Discussion

2616.	29. How many number from 1 to 360, which are co-prime with 360.
Answer» 29. How many number from 1 to 360, which are co-prime with 360.

Discussion

2617.	कविता का आरंभ 'तोड़ो तोड़ो तोड़ो' से हुआ है और अंत 'गोड़ो गोड़ो गोड़ो' से। विचार कीजिए कि कवि ने ऐसा क्यों किया?
Answer» कविता का आरंभ 'तोड़ो तोड़ो तोड़ो' से हुआ है और अंत 'गोड़ो गोड़ो गोड़ो' से। विचार कीजिए कि कवि ने ऐसा क्यों किया?

Discussion

2618.	The diagram below shows the net of a _______.
Answer» The diagram below shows the net of a _______.

Discussion

2619.	The LCM and HCF of two numbers are 4125 and 25 respectively. One number is 375. Find by how much is the second number less than the first ?
Answer» The LCM and HCF of two numbers are 4125 and 25 respectively. One number is 375. Find by how much is the second number less than the first ?

Discussion

2620.	How does reflection takes place under water for aqua livings to see properly ?
Answer» How does reflection takes place under water for aqua livings to see properly ?

Discussion

2621.	Question 1 (ii)ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:PQ = SR
Answer» Question 1 (ii) ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that: PQ = SR

Discussion

2622.	Question 4 Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.
Answer» Question 4 Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

2622.

Question 4 Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

Answer»

Question 4

Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

Discussion

2623.	Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
Answer» Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

Discussion

2624.	LCM of two prime numbers is ________________.
Answer» LCM of two prime numbers is ________________.

Discussion

2625.	Jerry needs to reach his school, which is at a distance of 3 mi from his home, in 30 min. He stops on the way to buy a textbook, which takes 6 min. At what speed (in mi/h) should he walk to reach the school on time? (Speed = Distance ÷ Time)7.5
Answer» Jerry needs to reach his school, which is at a distance of 3 mi from his home, in 30 min. He stops on the way to buy a textbook, which takes 6 min. At what speed (in mi/h) should he walk to reach the school on time? (Speed = Distance $\div$ Time) 7.5

Discussion

2626.	Which of the following figures have two lines of symmetry?
Answer» Which of the following figures have two lines of symmetry?

Discussion

2627.	Draw a line segment of length 6cm. Construct its perpendicular bisector. Measure the two parts of the line segment.
Answer» Draw a line segment of length 6cm. Construct its perpendicular bisector. Measure the two parts of the line segment.

Discussion

2628.	Question 130(i)Investigating Solar System The table shows the average distance from each planet in our solar system to the Sun.PlanetDistance from Sun (km)Distance from Sun(km) Standard NotationEarth1496000001.496×108Jupiter778300000Mars227900000Mercury57900000Neptune4497000000Pluto5900000000Saturn1427000000Uranus2870000000Venus108200000Complete the table by expressing the distance from each planet to the Sun in scientific notation.
Answer» Question 130(i) Investigating Solar System The table shows the average distance from each planet in our solar system to the Sun. $\begin{matrix} P l a n e t & D i s t a n c e f r o m S u n (k m) & D i s t a n c e f r o m S u n (k m) S t a n d a r d N o t a t i o n E a r t h & 149600000 & 1.496 \times 10^{8} J u p i t e r & 778300000 M a r s & 227900000 M e r c u r y & 57900000 N e p t u n e & 4497000000 P l u t o & 5900000000 S a t u r n & 1427000000 U r a n u s & 2870000000 V e n u s & 108200000 \end{matrix}$ Complete the table by expressing the distance from each planet to the Sun in scientific notation.

2628.

Question 130(i)Investigating Solar System The table shows the average distance from each planet in our solar system to the Sun.PlanetDistance from Sun (km)Distance from Sun(km) Standard NotationEarth1496000001.496×108Jupiter778300000Mars227900000Mercury57900000Neptune4497000000Pluto5900000000Saturn1427000000Uranus2870000000Venus108200000Complete the table by expressing the distance from each planet to the Sun in scientific notation.

Answer»

Question 130(i)

Investigating Solar System The table shows the average distance from each planet in our solar system to the Sun.

$\begin{matrix} P l a n e t & D i s t a n c e f r o m S u n (k m) & D i s t a n c e f r o m S u n (k m) S t a n d a r d N o t a t i o n E a r t h & 149600000 & 1.496 \times 10^{8} J u p i t e r & 778300000 M a r s & 227900000 M e r c u r y & 57900000 N e p t u n e & 4497000000 P l u t o & 5900000000 S a t u r n & 1427000000 U r a n u s & 2870000000 V e n u s & 108200000 \end{matrix}$

Complete the table by expressing the distance from each planet to the Sun in scientific notation.

Discussion

2629.

Construct the histogram for the following grouped frequency distribution. Class intervals Frequency 0-35 42 36-50 30 51-60 20 61-100 48

Answer»

Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0-35	42
36-50	30
51-60	20
61-100	48

Discussion

2630.	In a helicopter, Ronny is 200 feet above sea level, and in a submarine, Daniel is 150 feet below sea level. Daniel and Ronny are feet apart from each other.
Answer» In a helicopter, Ronny is 200 feet above sea level, and in a submarine, Daniel is 150 feet below sea level. Daniel and Ronny are feet apart from each other.

Discussion

2631.	28. What is the difference between the value of a function at a point and the limit at that point?
Answer» 28. What is the difference between the value of a function at a point and the limit at that point?

Discussion

2632.	Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.
Answer» Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

2632.

Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

Answer»

Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

Discussion

2633.	Why is the intergrating limits of theta in a semicircle is 0 to pi ??
Answer» Why is the intergrating limits of theta in a semicircle is 0 to pi ??

Discussion

2634.	Which of the following shows the multiplication table of 4?
Answer» Which of the following shows the multiplication table of 4?

Discussion

2635.	What type of number is obtained by adding two consecutive triangular numbers?
Answer» What type of number is obtained by adding two consecutive triangular numbers?

Discussion

2636.	A, B and C were partners sharing profits in the ratio of 3 : 2 : 1. The firm closes its books on 31st March every year. B died on 30th June, 2018. On his death, Goodwill of the firm was valued at ₹ 6,00,000. B's share in profit or loss till the date of death was to be calculated on the basis of previous year's profit which was ₹ 15,00,000 (Loss). Pass necessary Journal entries for goodwill and his share of loss.
Answer» A, B and C were partners sharing profits in the ratio of 3 : 2 : 1. The firm closes its books on 31st March every year. B died on 30th June, 2018. On his death, Goodwill of the firm was valued at ₹ 6,00,000. B's share in profit or loss till the date of death was to be calculated on the basis of previous year's profit which was ₹ 15,00,000 (Loss). Pass necessary Journal entries for goodwill and his share of loss.

Discussion

2637.	Solve:3x( x+y - 2)=2y and y (x+y-1) = 9x
Answer» Solve:3x( x+y - 2)=2y and y (x+y-1) = 9x

Discussion

2638.	A total of 35 pen stands is to be made using cardboard in a competition each pen stand has to be of a cylinder of radius 3 cm and height 10.5 cm. Find the total area of cardboard required [Take π=227]
Answer» A total of $35$ pen stands is to be made using cardboard in a competition each pen stand has to be of a cylinder of radius $3 c m$ and height $10.5 c m .$ Find the total area of cardboard required [Take $π = \frac{22}{7}]$

Discussion

2639.	Fill in the blanks with correct number3 24 5=3× – ×4= –8=
Answer» Fill in the blanks with correct number $\|\begin{matrix} 3 & 2 \\ 4 & 5 \end{matrix}\| = 3 \times - \times 4 = - 8 =$

Discussion

2640.	Fill in the blank with the appropriate verb. He _______ the assignment in time for the presentation, didn’t he?
Answer» Fill in the blank with the appropriate verb. He _______ the assignment in time for the presentation, didn’t he?

2640.

Fill in the blank with the appropriate verb. He _______ the assignment in time for the presentation, didn’t he?

Answer»

Fill in the blank with the appropriate verb.

He _______ the assignment in time for the presentation, didn’t he?

Discussion

2641.	How many sides are there in the given figure?
Answer» How many sides are there in the given figure?

2641.

How many sides are there in the given figure?

Answer»

How many sides are there in the given figure?

Discussion

2642.	In how many ways can a president, a manager and a secretary be chosen from among 8 candidates?
Answer» In how many ways can a president, a manager and a secretary be chosen from among $8$ candidates?

Discussion

2643.	ABCD is a parallelogram. A circle through A and B is drawn, so that it interests AD at P and BC at Q. Prove that P, Q, C and D are concyclic.
Answer» ABCD is a parallelogram. A circle through A and B is drawn, so that it interests AD at P and BC at Q. Prove that P, Q, C and D are concyclic.

Discussion

2644.	Which of the following are unlike terms?
Answer» Which of the following are unlike terms?

Discussion

2645.	Arrange the following numbers in ascending order: 37,48,41,53,51
Answer» Arrange the following numbers in ascending order: 37,48,41,53,51

Discussion

2646.	Question 37 Fill in the blanks to make the statements true. The number of lines of symmetry in a regular polygon of n sides is ___.
Answer» Question 37 Fill in the blanks to make the statements true. The number of lines of symmetry in a regular polygon of n sides is ___.

2646.

Question 37 Fill in the blanks to make the statements true. The number of lines of symmetry in a regular polygon of n sides is ___.

Answer»

Question 37

Fill in the blanks to make the statements true.

The number of lines of symmetry in a regular polygon of n sides is ___.

Discussion

2647.	Sahil wanted to draw a pattern made of circles of different radius. What tool can he use to draw circles and how?
Answer» Sahil wanted to draw a pattern made of circles of different radius. What tool can he use to draw circles and how?

Discussion

2648.	Question 2: In the given diagram, name the point(s): In the interior of ∠DOE
Answer» Question 2: In the given diagram, name the point(s): In the interior of $∠ D O E$

2648.

Question 2: In the given diagram, name the point(s): In the interior of ∠DOE

Answer»

Question 2: In the given diagram, name the point(s):

In the interior of $∠ D O E$

Discussion

2649.	The value(s) of x, which satisfy the condition x≤2(5+6), is/are
Answer» The value(s) of $x,$ which satisfy the condition $x \leq 2 (5 + 6),$ is/are

Discussion

2650.	A flooring tile has a shape of parallelogram whose base is 24 cm and the corresponding height is 10cm.How many such tiles are required to cover a floor of area 1080 msq?( if required you can split the tiles in what ever way you want to fill up the corners)?
Answer» A flooring tile has a shape of parallelogram whose base is 24 cm and the corresponding height is 10cm.How many such tiles are required to cover a floor of area 1080 msq?( if required you can split the tiles in what ever way you want to fill up the corners)?

Discussion

Explore topic-wise InterviewSolutions in .

The locus of the point of intersection of the lines 3x-y-43k = 0 and 3kx+ky-43=0 for different values of k is the hyperbola__________________________.

What is fraction?

Find the least number of square tiles which can cover the floor of a rectangular shape having length and breath 16 metres 58 centimetre and 8 metres 32 centimetre respectively.

If there are 24 divisions on a circle, what is the measure of angle for two divisions?

In a school, there were six holidays in the month of April. Find the ratio of number of holidays to the total number of days in the month of April.

A cubical water tank holds 125 litres of water. What will be the cost of whitewashing its outer walls, if the rate is $10/ cm2 ?

Identify the front view, side view and top view of the image shown below.

Question 2 For the given figure, which one is the mirror line, l1 or l2 ?

In the given figure PQ || RS, TR || QU and ∠PTR=42∘. Find ∠QUR.

Convert 275 into a mixed fraction.

The HCF of two number a and b is 5 and their LCM is 200. Find the product ab.

The dimensions and unit of phase constant Ø is

Can you write down the meaning of the following percent in terms of fractions in lowest terms?(i) 5%(ii) 60%(iii) 75%(iv) 175%(v) 2%(vi) 4%(vii) 108%(viii) 200%

(−5)+(−7)−(−2)−(+6) = ______

क्या लाल का व्यवहार सरकार के विरुद्ध षड्यंत्रकारी था?

29. How many number from 1 to 360, which are co-prime with 360.

कविता का आरंभ 'तोड़ो तोड़ो तोड़ो' से हुआ है और अंत 'गोड़ो गोड़ो गोड़ो' से। विचार कीजिए कि कवि ने ऐसा क्यों किया?

The diagram below shows the net of a _______.

The LCM and HCF of two numbers are 4125 and 25 respectively. One number is 375. Find by how much is the second number less than the first ?

How does reflection takes place under water for aqua livings to see properly ?

Question 1 (ii)ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA ( see the given figure). AC is a diagonal. Show that:PQ = SR

Question 4 Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.

Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?

LCM of two prime numbers is ________________.

Jerry needs to reach his school, which is at a distance of 3 mi from his home, in 30 min. He stops on the way to buy a textbook, which takes 6 min. At what speed (in mi/h) should he walk to reach the school on time? (Speed = Distance ÷ Time)7.5

Which of the following figures have two lines of symmetry?

Draw a line segment of length 6cm. Construct its perpendicular bisector. Measure the two parts of the line segment.

Construct the histogram for the following grouped frequency distribution. Class intervals Frequency 0-35 42 36-50 30 51-60 20 61-100 48

In a helicopter, Ronny is 200 feet above sea level, and in a submarine, Daniel is 150 feet below sea level. Daniel and Ronny are feet apart from each other.

28. What is the difference between the value of a function at a point and the limit at that point?

Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

Why is the intergrating limits of theta in a semicircle is 0 to pi ??

Which of the following shows the multiplication table of 4?

What type of number is obtained by adding two consecutive triangular numbers?

Solve:3x( x+y - 2)=2y and y (x+y-1) = 9x

A total of 35 pen stands is to be made using cardboard in a competition each pen stand has to be of a cylinder of radius 3 cm and height 10.5 cm. Find the total area of cardboard required [Take π=227]

Fill in the blanks with correct number3 24 5=3× – ×4= –8=

Fill in the blank with the appropriate verb. He _______ the assignment in time for the presentation, didn’t he?

How many sides are there in the given figure?

In how many ways can a president, a manager and a secretary be chosen from among 8 candidates?

ABCD is a parallelogram. A circle through A and B is drawn, so that it interests AD at P and BC at Q. Prove that P, Q, C and D are concyclic.

Which of the following are unlike terms?

Arrange the following numbers in ascending order: 37,48,41,53,51

Question 37 Fill in the blanks to make the statements true. The number of lines of symmetry in a regular polygon of n sides is ___.

Sahil wanted to draw a pattern made of circles of different radius. What tool can he use to draw circles and how?

Question 2: In the given diagram, name the point(s): In the interior of ∠DOE

The value(s) of x, which satisfy the condition x≤2(5+6), is/are

A flooring tile has a shape of parallelogram whose base is 24 cm and the corresponding height is 10cm.How many such tiles are required to cover a floor of area 1080 msq?( if required you can split the tiles in what ever way you want to fill up the corners)?