19743 + Interview Questions in Mathematics Page 22 InterviewSolution

1051.	What will be the ratio of radii of the base of the given cone to that of the paper from which, the curved surface of the cone is formed?
Answer» What will be the ratio of radii of the base of the given cone to that of the paper from which, the curved surface of the cone is formed?

Discussion

1052.	If Q is the foot of the perpendicular of the point P(3, 6) on the line x - 2y + 4 = 0, then the equation of PQ is
Answer» If Q is the foot of the perpendicular of the point P(3, 6) on the line x - 2y + 4 = 0, then the equation of PQ is

1052.

If Q is the foot of the perpendicular of the point P(3, 6) on the line x - 2y + 4 = 0, then the equation of PQ is

Answer»

If Q is the foot of the perpendicular of the point P(3, 6) on the line x - 2y + 4 = 0, then the equation of PQ is

Discussion

1053.	Pass necessary Journal entries on the dissolution of a firm in the following cases:(a) Dharam, a partner, was appointed to look after the process of dissolution at a remuneration of ₹ 12,000 and he had to bear the dissolution expenses. Dissolution expenses ₹ 11,000 were paid by Dharam.(b) Jay, a partner, was appointed to look after the process of dissolution and was allowed a remuneration of ₹ 15,000. Jay agreed to bear dissolution expenses. Actual dissolution expenses ₹ 16,000 were paid by Vijay, another partner on behalf of Jay.(c) Deepa, a partner, was to look after the process of dissolution and for this work she was allowed a remuneration of ₹ 7,000. Deepa agreed to bear dissolution expenses. Actual dissolution expenses ₹ 6,000 were paid from the firm's bank account.(d) Dev, a partner, agreed to do the work of dissolution for ₹ 7,500. He took away stock of the same amount as his commission. The stock had already been transferred to Realisation Account.(e) Jeev, a partner, agreed to do the work of dissolution for which he was allowed a commission of ₹ 10,000. He agreed to bear the dissolution expenses. Actual dissolution expenses paid by Jeev were ₹ 12,000. These expenses were paid by Jeev by drawing cash from the firm.(f) A debtor of ₹ 8,000 already transferred to Realisation Account agreed to pay the realisation expenses of ₹ 7,800 in full settlement of his account.
Answer» Pass necessary Journal entries on the dissolution of a firm in the following cases: (a) Dharam, a partner, was appointed to look after the process of dissolution at a remuneration of ₹ 12,000 and he had to bear the dissolution expenses. Dissolution expenses ₹ 11,000 were paid by Dharam. (b) Jay, a partner, was appointed to look after the process of dissolution and was allowed a remuneration of ₹ 15,000. Jay agreed to bear dissolution expenses. Actual dissolution expenses ₹ 16,000 were paid by Vijay, another partner on behalf of Jay. (c) Deepa, a partner, was to look after the process of dissolution and for this work she was allowed a remuneration of ₹ 7,000. Deepa agreed to bear dissolution expenses. Actual dissolution expenses ₹ 6,000 were paid from the firm's bank account. (d) Dev, a partner, agreed to do the work of dissolution for ₹ 7,500. He took away stock of the same amount as his commission. The stock had already been transferred to Realisation Account. (e) Jeev, a partner, agreed to do the work of dissolution for which he was allowed a commission of ₹ 10,000. He agreed to bear the dissolution expenses. Actual dissolution expenses paid by Jeev were ₹ 12,000. These expenses were paid by Jeev by drawing cash from the firm. (f) A debtor of ₹ 8,000 already transferred to Realisation Account agreed to pay the realisation expenses of ₹ 7,800 in full settlement of his account.

Discussion

1054.	Question 88 (a) Write the following numbers in the form pq, where p and q are integers. six-eighths
Answer» Question 88 (a) Write the following numbers in the form $\frac{p}{q}$ , where p and q are integers. six-eighths

1054.

Question 88 (a) Write the following numbers in the form pq, where p and q are integers. six-eighths

Answer»

Question 88 (a)

Write the following numbers in the form $\frac{p}{q}$ , where p and q are integers.
six-eighths

Discussion

1055.	Ratio of area is to perimeter of a rectangle whose length and breadth are 18 and 12 respectively is
Answer» Ratio of area is to perimeter of a rectangle whose length and breadth are 18 and 12 respectively is

Discussion

1056.	The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator Answer should be ₹ 15,000
Answer» The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator Answer should be ₹ 15,000

1056.

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator Answer should be ₹ 15,000

Answer»

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator

Answer should be ₹ 15,000

Discussion

1057.	If 3sinß + 5cosß = 5, then 3cosß -5sinß is equal to
Answer» If 3sinß + 5cosß = 5, then 3cosß -5sinß is equal to

Discussion

1058.	Write four more rational numbers in each of the following patterns:(i) (ii) (iii) (iv)
Answer» Write four more rational numbers in each of the following patterns: (i) (ii) (iii) (iv)

1058.

Write four more rational numbers in each of the following patterns:(i) (ii) (iii) (iv)

Answer»

Write four more rational numbers in each of the following patterns:

(i) (ii)

(iii) (iv)

Discussion

1059.	The solution of the equation (±x±7)3=11 is/are:
Answer» The solution of the equation $\frac{(\pm x \pm 7)}{3} = 11$ is/are:

Discussion

1060.	Question 124(i)Name the property used in each of the following:−711×−35=−35×−711
Answer» Question 124(i) Name the property used in each of the following: $\frac{- 7}{11} \times \frac{- 3}{5} = \frac{- 3}{5} \times \frac{- 7}{11}$

Discussion

1061.	The bar graph shows the favourite colours of 20 students in a class. What is the difference between the number of students who liked blue color and the students who liked pink color?
Answer» The bar graph shows the favourite colours of 20 students in a class. What is the difference between the number of students who liked blue color and the students who liked pink color?

Discussion

1062.	If 27y=93y, then y = .
Answer» If $27^{y} = \frac{9}{3^{y}}$ , then $y$ = .

Discussion

1063.	Question 99 Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.
Answer» Question 99 Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

Discussion

1064.	36 =
Answer» 3⁶ =

Discussion

1065.	A bag contains 20 green marbles and 12 blue marbles. Four marbles are drawn at random. What is the probability of getting all green marbles?
Answer» A bag contains 20 green marbles and 12 blue marbles. Four marbles are drawn at random. What is the probability of getting all green marbles?

Discussion

1066.	The performance of a student in 1st term and 2nd term is given. Draw a double bar graph choosing appropriate scale and answer the following:SubjectEnglishHindiMathsScienceS.Science1stterm (MM.100)67728881732ndterm (MM.100)7065958575In which subject has the child improved his performance the most?
Answer» The performance of a student in $1^{s t}$ term and $2^{n d}$ term is given. Draw a double bar graph choosing appropriate scale and answer the following: $\begin{matrix} S u b j e c t & E n g l i s h & H i n d i & M a t h s & S c i e n c e & S . S c i e n c e 1^{s t} t e r m (M M .100) & 67 & 72 & 88 & 81 & 73 2^{n d} t e r m (M M .100) & 70 & 65 & 95 & 85 & 75 \end{matrix}$ In which subject has the child improved his performance the most?

Discussion

1067.	a bc is called_______________ and is equal to ____________
Answer» a $\frac{b}{c}$ is called_______________ and is equal to ____________

Discussion

1068.	3/5x,2/5x,-4/5x add the following
Answer» 3/5x,2/5x,-4/5x add the following

Discussion

1069.	The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article?18600
Answer» The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article? 18600

Discussion

1070.	if the letters of the word Encyclopedia are put in a box and one letter is taken out at the random find the probability of taking out the letter E
Answer» if the letters of the word Encyclopedia are put in a box and one letter is taken out at the random find the probability of taking out the letter E

Discussion

1071.	Two friends lived on a number line. One of them lived at number -2 and other at number 7. Then the distance between them is ___ units.
Answer» Two friends lived on a number line. One of them lived at number -2 and other at number 7. Then the distance between them is ___ units.

Discussion

1072.	p and q were picked out of the number line, where p was lying to the right of q. Then,
Answer» $p$ and $q$ were picked out of the number line, where $p$ was lying to the right of $q$ . Then,

Discussion

1073.	Question 54 xm×xn=xm+n, where x is a non-zero rational number and m, n are positive integers.
Answer» Question 54 $x^{m} \times x^{n} = x^{m + n},$ where $x$ is a non-zero rational number and $m, n$ are positive integers.

1073.

Question 54 xm×xn=xm+n, where x is a non-zero rational number and m, n are positive integers.

Answer»

Question 54

$x^{m} \times x^{n} = x^{m + n},$ where $x$ is a non-zero rational number and $m, n$ are positive integers.

Discussion

1074.	Express (0.8×0.7)−(0.65×0.6)(0.65×0.6)−(0.62×0.6) in the form of a fraction.
Answer» Express $\frac{(0.8 \times 0.7) - (0.65 \times 0.6)}{(0.65 \times 0.6) - (0.62 \times 0.6)}$ in the form of a fraction.

Discussion

1075.	A street vendor earns Rs. 78 per day. If so, find the amount of money he will earn in the month of March.
Answer» A street vendor earns Rs. 78 per day. If so, find the amount of money he will earn in the month of March.

Discussion

1076.	How many litres of water should be added to a 30 litres mixture containing milk and water in the ratio of 7:3 such that the resultant mixture has 40% water in it?
Answer» How many litres of water should be added to a $30$ litres mixture containing milk and water in the ratio of $7 : 3$ such that the resultant mixture has $40 %$ water in it?

Discussion

1077.	The appoximate value of Pi is
Answer» The appoximate value of Pi is

Discussion

1078.	The area of an equilateral triangle whose side is 2cm is √A. The integral value of A is___
Answer» The area of an equilateral triangle whose side is 2cm is $\sqrt{A}$ . The integral value of A is___

Discussion

1079.	By selling 50 pens, a shopkeeper lost an amount equal to the selling price of 10 pens. Find his loss percentage.
Answer» By selling 50 pens, a shopkeeper lost an amount equal to the selling price of 10 pens. Find his loss percentage.

Discussion

1080.	To pick a lab partner, each student must write his/her name down on a piece of paper and drop it into a bowl. Students would then pick the pieces of paper from that bowl to get their lab partners. Given that Kevin was the first one to pick a chit and he has 5 friends in his class and there are 20 students in the class, what is the probability that Kevin's partner will be one of his friends?
Answer» To pick a lab partner, each student must write his/her name down on a piece of paper and drop it into a bowl. Students would then pick the pieces of paper from that bowl to get their lab partners. Given that Kevin was the first one to pick a chit and he has 5 friends in his class and there are 20 students in the class, what is the probability that Kevin's partner will be one of his friends?

Discussion

1081.	The sides of a parallelogram are given by the vectors (2,4,−5) and (1,2,3) , then the unit vector parallel to one of the diagonals is
Answer» The sides of a parallelogram are given by the vectors $(2, 4, - 5)$ and $(1, 2, 3)$ , then the unit vector parallel to one of the diagonals is

Discussion

1082.	A bimodal data set is given. What are the possible values for x?Data: 23,24,25,26,27,23,24,25,28,24,29,19,20,x
Answer» A bimodal data set is given. What are the possible values for $x$ ? Data: $23, 24, 25, 26, 27, 23, 24, 25, 28, 24, 29, 19, 20, x$

Discussion

1083.	Question 42Name all the line segments in the given figure.
Answer» Question 42 Name all the line segments in the given figure.

1083.

Question 42Name all the line segments in the given figure.

Answer»

Question 42

Name all the line segments in the given figure.

Discussion

1084.	A carpenter cuts off from a plank 5/12 of its length and then 6/7 of what remains. If the remaining piece is 2 and 1/2 m long, find the original length of the plank.
Answer» A carpenter cuts off from a plank 5/12 of its length and then 6/7 of what remains. If the remaining piece is 2 and 1/2 m long, find the original length of the plank.

Discussion

1085.	Question 127(ii)An insect is on the 0 point of a number line, hopping towards 1. It covers half the distance from its current location to 1 with each hop.So, it will be at 12 after one hop, 34 after two hops and so on.Where will the insect be after n hops?
Answer» Question 127(ii) An insect is on the 0 point of a number line, hopping towards 1. It covers half the distance from its current location to 1 with each hop. So, it will be at $\frac{1}{2}$ after one hop, $\frac{3}{4}$ after two hops and so on. Where will the insect be after n hops?

1085.

Question 127(ii)An insect is on the 0 point of a number line, hopping towards 1. It covers half the distance from its current location to 1 with each hop.So, it will be at 12 after one hop, 34 after two hops and so on.Where will the insect be after n hops?

Answer»

Question 127(ii)

An insect is on the 0 point of a number line, hopping towards 1. It covers half the distance from its current location to 1 with each hop.

So, it will be at $\frac{1}{2}$ after one hop, $\frac{3}{4}$ after two hops and so on.

Where will the insect be after n hops?

Discussion

1086.

The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data. School 1st 2nd 3rd 4th Inclination towards science stream 90 60 25 16 Inclination towards commerce stream 60 20 25 24

Answer» The following data is collected in a survey of some students of 10^thstandard from some schools. Draw the percentage bar graph of the data.

School	1^st	2^nd	3^rd	4^th
Inclination towards science stream	90	60	25	16
Inclination towards commerce stream	60	20	25	24

Discussion

1087.	The angle between two straight bars is 30o. If bar A and bar B are rotated by 15o and 45o respectively in an anticlockwise direction about the joining point, then what will be the angle between both bars?
Answer» The angle between two straight bars is $30^{o} .$ If bar A and bar B are rotated by $15^{o}$ and $45^{o}$ respectively in an anticlockwise direction about the joining point, then what will be the angle between both bars?

Discussion

1088.	Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.
Answer» Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.

Discussion

1089.	If 4 and −3 are the zeros of the polynomial 2x2−px+4 and qx3−3x+2p, then p+q is:
Answer» If $4$ and $- 3$ are the zeros of the polynomial $2 x^{2} - p x + 4$ and $q x^{3} - 3 x + 2 p$ , then $p + q$ is:

Discussion

1090.	The number of girls(x) is 4 more than the number of boys(y), the equation is
Answer» The number of girls(x) is 4 more than the number of boys(y), the equation is

Discussion

1091.	A certain game was played by 18 players as a team, in which only 23rd of the team actually played the game. The rest were reserve players , ready to replace the main members if they get injured. How many reserve players did this team have?
Answer» A certain game was played by 18 players as a team, in which only ${\frac{2}{3}}^{r d}$ of the team actually played the game. The rest were reserve players , ready to replace the main members if they get injured. How many reserve players did this team have?

Discussion

1092.	Two two way table given shows the different flavours of ice-cream being loved by the different categories of person.Find out the number of persons who love chocolate ice-cream?
Answer» Two two way table given shows the different flavours of ice-cream being loved by the different categories of person. Find out the number of persons who love chocolate ice-cream?

Discussion

1093.	If the cost of one thousand tables is $7,809 then find the cost of each table.
Answer» If the cost of one thousand tables is $$ 7, 809$ then find the cost of each table.

Discussion

1094.	Express the number appearing in the following statements in standard form. (a) The distance between Earth and Moon is 384, 000, 000 m. (b) Speed of light in vacuum is 300, 000, 000 m/s. (c) Diameter of the Earth is 1, 27, 56, 000 m. (d) Diameter of the Sun is 1, 400, 000, 000 m. (e) In a galaxy there are on an average 100, 000, 000, 000 stars. (f) The universe is estimated to be about 12, 000, 000, 000 years old. (g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300, 000, 000, 000, 000, 000, 000 m. (h) 60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in a drop of water weighing 1.8 gm. (i) The earth has 1, 353, 000, 000 cubic km of sea water. (j) The population of India was about 1, 027, 000, 000 in March, 2001.
Answer» Express the number appearing in the following statements in standard form. (a) The distance between Earth and Moon is 384, 000, 000 m. (b) Speed of light in vacuum is 300, 000, 000 m/s. (c) Diameter of the Earth is 1, 27, 56, 000 m. (d) Diameter of the Sun is 1, 400, 000, 000 m. (e) In a galaxy there are on an average 100, 000, 000, 000 stars. (f) The universe is estimated to be about 12, 000, 000, 000 years old. (g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300, 000, 000, 000, 000, 000, 000 m. (h) 60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in a drop of water weighing 1.8 gm. (i) The earth has 1, 353, 000, 000 cubic km of sea water. (j) The population of India was about 1, 027, 000, 000 in March, 2001.

1094.

Express the number appearing in the following statements in standard form. (a) The distance between Earth and Moon is 384, 000, 000 m. (b) Speed of light in vacuum is 300, 000, 000 m/s. (c) Diameter of the Earth is 1, 27, 56, 000 m. (d) Diameter of the Sun is 1, 400, 000, 000 m. (e) In a galaxy there are on an average 100, 000, 000, 000 stars. (f) The universe is estimated to be about 12, 000, 000, 000 years old. (g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300, 000, 000, 000, 000, 000, 000 m. (h) 60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in a drop of water weighing 1.8 gm. (i) The earth has 1, 353, 000, 000 cubic km of sea water. (j) The population of India was about 1, 027, 000, 000 in March, 2001.

Answer»

Express
the number appearing in the following statements in standard form.

(a) The
distance between Earth and Moon is 384, 000, 000 m.

(b) Speed
of light in vacuum is 300, 000, 000 m/s.

(c) Diameter
of the Earth is 1, 27, 56, 000 m.

(d) Diameter
of the Sun is 1, 400, 000, 000 m.

(e) In a
galaxy there are on an average 100, 000, 000, 000 stars.

(f) The
universe is estimated to be about 12, 000, 000, 000 years old.

(g) The distance of the Sun from the centre of the Milky Way Galaxy
is estimated to be 300, 000, 000, 000, 000, 000, 000 m.

(h) 60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in
a drop of water weighing 1.8 gm.

(i) The
earth has 1, 353, 000, 000 cubic km of sea water.

(j) The
population of India was about 1, 027, 000, 000 in March, 2001.

Discussion

1095.	State the number of variables(i) 623x2m2+20xyz−2120+32(ii) 23a2b+623b2−4b+√345a
Answer» State the number of variables (i) $623 x^{2} m^{2} + 20 x y z - 2120 + 32$ (ii) $23 a^{2} b + 623 b^{2} - 4 b + \sqrt{345} a$

Discussion

1096.	Find all the angles of the following triangle. [3 MARKS]
Answer» Find all the angles of the following triangle. [3 MARKS]

Discussion

1097.	Write the value of 483 − 303 − 183.
Answer» Write the value of 48³ − 30³ − 18³.

Discussion

1098.	Evaluate : (i) 23−45(ii) −49−2−3(iii) −1−49(iv) −27−3−14(v) −518−−29(vi) 521−−1342
Answer» Evaluate : $(i) \frac{2}{3} - \frac{4}{5} (i i) \frac{- 4}{9} - \frac{2}{- 3} (i i i) - 1 - \frac{4}{9} (i v) \frac{- 2}{7} - \frac{3}{- 14} (v) \frac{- 5}{18} - \frac{- 2}{9} (v i) \frac{5}{21} - \frac{- 13}{42}$

Discussion

1099.	ConstructΔDEF such that DE = 5 cm, DF= 3 cm and m∠EDF = 90°.
Answer» Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90°.

Discussion

1100.

If A = {1, 2, 3, 4} B = {3, 4,5, 6, 7} C = {6, 7, 8, 9} D = {7, 8, 9, 10} ColumnAColumnB1.A∪B A. {3,4,6,7} 2.A∩B B. ∅ 3.(B∩C)∪D C. {3,4} 4. B∪C∪D D. {3,4,5,6,7,8,9,10} 5. (A∩B)∩(B∪C) E. {1,2,3,4,5,6,7} F. {6,7,8,9,10} G. {7}

Answer»

If A = {1, 2, 3, 4}

B = {3, 4,5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & A . {3, 4, 6, 7} 2. A \cap B & B . \emptyset 3. (B \cap C) \cup D & C . {3, 4} 4. B \cup C \cup D & D . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & E . {1, 2, 3, 4, 5, 6, 7} F . {6, 7, 8, 9, 10} G . {7} \end{matrix}$

Discussion

Explore topic-wise InterviewSolutions in .

What will be the ratio of radii of the base of the given cone to that of the paper from which, the curved surface of the cone is formed?

If Q is the foot of the perpendicular of the point P(3, 6) on the line x - 2y + 4 = 0, then the equation of PQ is

Question 88 (a) Write the following numbers in the form pq, where p and q are integers. six-eighths

Ratio of area is to perimeter of a rectangle whose length and breadth are 18 and 12 respectively is

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator Answer should be ₹ 15,000

If 3sinß + 5cosß = 5, then 3cosß -5sinß is equal to

Write four more rational numbers in each of the following patterns:(i) (ii) (iii) (iv)

The solution of the equation (±x±7)3=11 is/are:

Question 124(i)Name the property used in each of the following:−711×−35=−35×−711

The bar graph shows the favourite colours of 20 students in a class. What is the difference between the number of students who liked blue color and the students who liked pink color?

If 27y=93y, then y = .

Question 99 Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

36 =

A bag contains 20 green marbles and 12 blue marbles. Four marbles are drawn at random. What is the probability of getting all green marbles?

The performance of a student in 1st term and 2nd term is given. Draw a double bar graph choosing appropriate scale and answer the following:SubjectEnglishHindiMathsScienceS.Science1stterm (MM.100)67728881732ndterm (MM.100)7065958575In which subject has the child improved his performance the most?

a bc is called_______________ and is equal to ____________

3/5x,2/5x,-4/5x add the following

The cost of an article is ₹15000 and ₹500 is spent on its repair. If the article is sold at a profit of 20%, then what is the selling price of the article?18600

if the letters of the word Encyclopedia are put in a box and one letter is taken out at the random find the probability of taking out the letter E

Two friends lived on a number line. One of them lived at number -2 and other at number 7. Then the distance between them is ___ units.

p and q were picked out of the number line, where p was lying to the right of q. Then,

Question 54 xm×xn=xm+n, where x is a non-zero rational number and m, n are positive integers.

Express (0.8×0.7)−(0.65×0.6)(0.65×0.6)−(0.62×0.6) in the form of a fraction.

A street vendor earns Rs. 78 per day. If so, find the amount of money he will earn in the month of March.

How many litres of water should be added to a 30 litres mixture containing milk and water in the ratio of 7:3 such that the resultant mixture has 40% water in it?

The appoximate value of Pi is

The area of an equilateral triangle whose side is 2cm is √A. The integral value of A is___

By selling 50 pens, a shopkeeper lost an amount equal to the selling price of 10 pens. Find his loss percentage.

The sides of a parallelogram are given by the vectors (2,4,−5) and (1,2,3) , then the unit vector parallel to one of the diagonals is

A bimodal data set is given. What are the possible values for x?Data: 23,24,25,26,27,23,24,25,28,24,29,19,20,x

Question 42Name all the line segments in the given figure.

A carpenter cuts off from a plank 5/12 of its length and then 6/7 of what remains. If the remaining piece is 2 and 1/2 m long, find the original length of the plank.

Question 127(ii)An insect is on the 0 point of a number line, hopping towards 1. It covers half the distance from its current location to 1 with each hop.So, it will be at 12 after one hop, 34 after two hops and so on.Where will the insect be after n hops?

The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data. School 1st 2nd 3rd 4th Inclination towards science stream 90 60 25 16 Inclination towards commerce stream 60 20 25 24

The angle between two straight bars is 30o. If bar A and bar B are rotated by 15o and 45o respectively in an anticlockwise direction about the joining point, then what will be the angle between both bars?

Choose the lengths of the sides yourself and draw one equilateral, one isosceles and one scalene triangle.

If 4 and −3 are the zeros of the polynomial 2x2−px+4 and qx3−3x+2p, then p+q is:

The number of girls(x) is 4 more than the number of boys(y), the equation is

A certain game was played by 18 players as a team, in which only 23rd of the team actually played the game. The rest were reserve players , ready to replace the main members if they get injured. How many reserve players did this team have?

Two two way table given shows the different flavours of ice-cream being loved by the different categories of person.Find out the number of persons who love chocolate ice-cream?

If the cost of one thousand tables is $7,809 then find the cost of each table.

State the number of variables(i) 623x2m2+20xyz−2120+32(ii) 23a2b+623b2−4b+√345a

Find all the angles of the following triangle. [3 MARKS]

Write the value of 483 − 303 − 183.

Evaluate : (i) 23−45(ii) −49−2−3(iii) −1−49(iv) −27−3−14(v) −518−−29(vi) 521−−1342

ConstructΔDEF such that DE = 5 cm, DF= 3 cm and m∠EDF = 90°.

If A = {1, 2, 3, 4} B = {3, 4,5, 6, 7} C = {6, 7, 8, 9} D = {7, 8, 9, 10} ColumnAColumnB1.A∪B A. {3,4,6,7} 2.A∩B B. ∅ 3.(B∩C)∪D C. {3,4} 4. B∪C∪D D. {3,4,5,6,7,8,9,10} 5. (A∩B)∩(B∪C) E. {1,2,3,4,5,6,7} F. {6,7,8,9,10} G. {7}

a bc is called___ and is equal to