19743 + Interview Questions in Mathematics Page 109 InterviewSolution

5401.	What are the number of possible outcomes of tossing a coin once?
Answer» What are the number of possible outcomes of tossing a coin once?

Discussion

5402.	The height of the rectangle in a histogram is proportional to __________.
Answer» The height of the rectangle in a histogram is proportional to __________.

Discussion

5403.	greg paid 1400nigelpaied 1050 mike paied 1750totoalcostofboatis 4200 five years latr they sell the boat for $3300 a) how much does each of them recive from the sale of the boat ? b) how much more money did mike lose from the sake of the boat then greg? c) who made the smallest loose from the sale of the boat? how much did he get.
Answer» greg paid $1400 n i g e l p a i e d$ 1050 mike paied $1750 t o t o a l c o s t o f b o a t i s$ 4200 five years latr they sell the boat for $3300 a) how much does each of them recive from the sale of the boat ? b) how much more money did mike lose from the sake of the boat then greg? c) who made the smallest loose from the sale of the boat? how much did he get.

Discussion

5404.

Enter the following transactions in the Cash Book with Cash and Bank Columns:- 2019 April 1 Balance of Cash in hand ₹ 4,000, overdraft at Bank ₹ 50,000. 4 Invested further capital ₹ 1,00,000 out of which ₹ 60,000 deposited into the bank. 5 Sold goods for cash ₹ 30,000 plus CGST and SGST 6% each. 10 Purchased goods ₹ 55,000 plus CGST and SGST 6% each and issued a cheque for the same. 11 Paid to Ram Vilas, our creditor ₹ 25,000; discount allowed by him ₹ 1,000. 14 Rent of ₹ 8,000 plus CGST and SGST 6% each paid by cheque. 15 Office Furniture purchased and a cheque of ₹ 22,400 issued for the same including CGST and SGST 6% each. 16 Drew cheque for personal use ₹ 5,000. 18 Collection from Atul ₹ 15,000, deposited in the bank on 19th April. 20 Goods sold to Amritraj for ₹ 80,000 plus CGST and SGST 6% each. 25 Received a cheque of ₹ 88,000 from Amritraj in full settlement of his account; deposited into bank on 28th April. 29 Drew from the bank for salary of the office staff ₹ 25,000. 29 Paid salary of the manager by cheque ₹ 10,000.

Answer» Enter the following transactions in the Cash Book with Cash and Bank Columns:-

2019
April 1	Balance of Cash in hand ₹ 4,000, overdraft at Bank ₹ 50,000.
4	Invested further capital ₹ 1,00,000 out of which ₹ 60,000 deposited into the bank.
5	Sold goods for cash ₹ 30,000 plus CGST and SGST 6% each.
10	Purchased goods ₹ 55,000 plus CGST and SGST 6% each and issued a cheque for the same.
11	Paid to Ram Vilas, our creditor ₹ 25,000; discount allowed by him ₹ 1,000.
14	Rent of ₹ 8,000 plus CGST and SGST 6% each paid by cheque.
15	Office Furniture purchased and a cheque of ₹ 22,400 issued for the same including CGST and SGST 6% each.
16	Drew cheque for personal use ₹ 5,000.
18	Collection from Atul ₹ 15,000, deposited in the bank on 19th April.
20	Goods sold to Amritraj for ₹ 80,000 plus CGST and SGST 6% each.
25	Received a cheque of ₹ 88,000 from Amritraj in full settlement of his account; deposited into bank on 28th April.
29	Drew from the bank for salary of the office staff ₹ 25,000.
29	Paid salary of the manager by cheque ₹ 10,000.

Discussion

5405.	Which of the following correctly represents the 676 as the product of its prime power.
Answer» Which of the following correctly represents the 676 as the product of its prime power.

Discussion

5406.	Question 39 In the given figure, if AB∥CD, then a) ∠2=∠3 b) ∠1=∠4 c) ∠4=∠1+∠2 d) ∠1+∠2=∠3+∠4
Answer» Question 39 In the given figure, if $A B ∥ C D$ , then a) $∠ 2 = ∠ 3$ b) $∠ 1 = ∠ 4$ c) $∠ 4 = ∠ 1 + ∠ 2$ d) $∠ 1 + ∠ 2 = ∠ 3 + ∠ 4$

5406.

Question 39 In the given figure, if AB∥CD, then a) ∠2=∠3 b) ∠1=∠4 c) ∠4=∠1+∠2 d) ∠1+∠2=∠3+∠4

Answer»

Question 39

In the given figure, if $A B ∥ C D$ , then

a) $∠ 2 = ∠ 3$
b) $∠ 1 = ∠ 4$
c) $∠ 4 = ∠ 1 + ∠ 2$
d) $∠ 1 + ∠ 2 = ∠ 3 + ∠ 4$

Discussion

5407.	Simplify: 35×105×2557×65
Answer» Simplify: $\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$

Discussion

5408.	Given any event E, its probability must be in the range of
Answer» Given any event E, its probability must be in the range of

Discussion

5409.	Match the division statements with their correct answers.
Answer» Match the division statements with their correct answers.

Discussion

5410.	Divide ₹7400 among three people A, B, C in the ratio 3:5:12
Answer» Divide ₹7400 among three people A, B, C in the ratio 3:5:12

Discussion

5411.	Sam has red marbles (A) and blue marbles (B), in the ratio A:B. If AB=K calculate the value of the given expression: A9÷B18
Answer» $Sam has red marbles (A) and blue marbles (B), in the ratio A:B. If \frac{A}{B} = K calculate the value of the given expression:$ $\frac{A}{9} \div \frac{B}{18}$

Discussion

5412.

Enter the following transactions in the Returns Inward Book of Anand Cloth House, Ajmal Khan Road, New Delhi Assuming CGST 2.5% and SGST 2.5% :- October 3 Chakravarti & Co. Jaipur (Rajasthan), returned to us being not according to sample :- 50 Metre Cotton Cloth ₹ 200 per Metre 30 Metre Silk Cloth ₹ 500 per Metre Trade Discount 20% 12 Narain Rai & Co. Indore (M.P.), returned being not up to the approved sample :- 25 Metre woollen cloth ₹ 400 per Metre 20 Goods sold to Janaki Das Sita Ram, New Delhi now returned by them, being defective valued at ₹ 8,000. 28 Allowance allowed to Kesari Lal & Sons, Sadar Bazar, New Delhi on account of a mistake in the invoice ₹ 3,000.

Answer» Enter the following transactions in the Returns Inward Book of Anand Cloth House, Ajmal Khan Road, New Delhi Assuming CGST 2.5% and SGST 2.5% :-

October 3	Chakravarti & Co. Jaipur (Rajasthan), returned to us being not according to sample :-
	50 Metre Cotton Cloth ₹ 200 per Metre
	30 Metre Silk Cloth ₹ 500 per Metre
	Trade Discount 20%
12	Narain Rai & Co. Indore (M.P.), returned being not up to the approved sample :-
	25 Metre woollen cloth ₹ 400 per Metre
20	Goods sold to Janaki Das Sita Ram, New Delhi now returned by them, being defective valued at ₹ 8,000.
28	Allowance allowed to Kesari Lal & Sons, Sadar Bazar, New Delhi on account of a mistake in the invoice ₹ 3,000.

Discussion

5413.	Find the value of 7ab×4ab×2ab.
Answer» Find the value of $7 a b \times 4 a b \times 2 a b$ .

Discussion

5414.	In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:The set of students participating only in drama
Answer» In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music. Draw Venn diagrams for the given data: The set of students participating only in drama

5414.

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:The set of students participating only in drama

Answer»

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.

Draw Venn diagrams for the given data:

The set of students participating only in drama

Discussion

5415.	One meter wide path is built inside a square park of side 30 m along its sides. The remaining part of the park is covered by grass. If the total cost of covering by grass is Rs 1176, find the rate per square metre at which the park is covered by the grass.
Answer» One meter wide path is built inside a square park of side 30 m along its sides. The remaining part of the park is covered by grass. If the total cost of covering by grass is Rs 1176, find the rate per square metre at which the park is covered by the grass.

Discussion

5416.	Question 9Write True or False and justify your answer:In a triangle, the sides are given as 11cm, 12cm and 13cm. the length of the altitude is 10.25 cm corresponding to the side having 12 cm.
Answer» Question 9 Write True or False and justify your answer: In a triangle, the sides are given as 11cm, 12cm and 13cm. the length of the altitude is 10.25 cm corresponding to the side having 12 cm.

Discussion

5417.	Question 83 (xii)Multiply the following:−7st,−1,−13st2
Answer» Question 83 (xii) Multiply the following: $- 7 s t, - 1, - 13 s t^{2}$

Discussion

5418.	The length, breadth and height of a rectangular solid are in the ratio 5 : 4 : 2. If the total surface area is 1216 cm2, find the length, the breadth and the height of the solid. Also, find the volume of the solid.
Answer» The length, breadth and height of a rectangular solid are in the ratio 5 : 4 : 2. If the total surface area is 1216 $c m^{2}$ , find the length, the breadth and the height of the solid. Also, find the volume of the solid.

Discussion

5419.	The above figure shows a part of Pikachu's Bank Passbook.What is the total amount withdrawn through cash in the given period?
Answer» The above figure shows a part of Pikachu's Bank Passbook. What is the total amount withdrawn through cash in the given period?

Discussion

5420.	Three prizes are to be distributed in a quiz contest. The value of second prize is 56th of the value of first prize and the value of third prize is 45th of second prize. If the total value of three prizes is Rs.1500, find the value of each prize. (in order of 1st, 2nd & 3rd)
Answer» Three prizes are to be distributed in a quiz contest. The value of second prize is ${\frac{5}{6}}^{t h}$ of the value of first prize and the value of third prize is ${\frac{4}{5}}^{t h}$ of second prize. If the total value of three prizes is Rs.1500, find the value of each prize. (in order of 1^st, 2^nd & 3^rd)

Discussion

5421.	Question 67 A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?
Answer» Question 67 A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

5421.

Question 67 A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

Answer»

Question 67

A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

Discussion

5422.	If a and b are in ratio, then how are they represented symbolically?
Answer» If a and b are in ratio, then how are they represented symbolically?

Discussion

5423.	Question 91 150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.
Answer» Question 91 150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

5423.

Question 91 150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

Answer»

Question 91

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

Discussion

5424.	Find the surface area of the following figure if it is folded along the dotted lines.(All the measurements are in cm).
Answer» Find the surface area of the following figure if it is folded along the dotted lines.(All the measurements are in cm).

5424.

Find the surface area of the following figure if it is folded along the dotted lines.(All the measurements are in cm).

Answer»

Find the surface area of the following figure if it is folded along the dotted lines.(All the measurements are in cm).

Discussion

5425.

The table below shows how much weight gym-goers have lost in a Gymkhana. Weight Lost (in pounds) Number of Gymers 3 5 7 10 4 12 8 7 10 3The mode of the given data is:

Answer»

The table below shows how much weight gym-goers have lost in a Gymkhana.

Weight Lost (in pounds)	Number of Gymers
$3$	$5$
$7$	$10$
$4$	$12$
$8$	$7$
$10$	$3$

The mode of the given data is:

Discussion

5426.	Find the value of (i)8113×57613 (ii)64−23×27−23
Answer» Find the value of $(i) 81^{\frac{1}{3}} \times 576^{\frac{1}{3}}$ $(i i) 64^{- \frac{2}{3}} \times 27^{- \frac{2}{3}}$

Discussion

5427.	Find the equation of line AB.
Answer» Find the equation of line $A B$ .

Discussion

5428.	Mark the correct alternative in each of the following:If the rational numbers -23 and 4x represent a pair of equivalent rational numbers, then x =(a) 6 (b) −6 (c) 3 (d) −3
Answer» Mark the correct alternative in each of the following: If the rational numbers $\frac{- 2}{3}$ and $\frac{4}{x}$ represent a pair of equivalent rational numbers, then x = (a) 6 (b) −6 (c) 3 (d) −3

Discussion

5429.	A traingle has vertices, while a square has vertices.
Answer» A traingle has vertices, while a square has vertices.

Discussion

5430.	Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m. The rectangular prism has a height of 34 m. What is its lateral surface area?
Answer» Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m. The rectangular prism has a height of 34 m. What is its lateral surface area?

5430.

Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m. The rectangular prism has a height of 34 m. What is its lateral surface area?

Answer»

Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m.

The rectangular prism has a height of 34 m. What is its lateral surface area?

Discussion

5431.	Why the ratio of median is 2:1?
Answer» Why the ratio of median is 2:1?

Discussion

5432.	In a nursery, 37 plants have been arranged in the first row, 35 in the second, 33 in the third and so on. If there are 5 plants in last row, how many plants are there in the nursery?
Answer» In a nursery, 37 plants have been arranged in the first row, 35 in the second, 33 in the third and so on. If there are 5 plants in last row, how many plants are there in the nursery?

Discussion

5433.	Express the following percentages in fractional form.
Answer» Express the following percentages in fractional form.

5433.

Express the following percentages in fractional form.

Answer»

Express the following percentages in fractional form.

Discussion

5434.	The value of (6−2 × 6−3) ÷ (61 × 62) = ?
Answer» The value of $(6^{- 2} \times 6^{- 3}) \div (6^{1} \times 6^{2}) = ?$

Discussion

5435.	Question 1 (b) Copy the figures with punched holes and find the axes of symmetry for the following: b)
Answer» Question 1 (b) Copy the figures with punched holes and find the axes of symmetry for the following: b)

Discussion

5436.	15. A hollow cylindrical tube open at both ends is made of iron 3cm thick .if the external diameter be 56cm and the length of the tube be 182cm,find the number of cubic cm in it .
Answer» 15. A hollow cylindrical tube open at both ends is made of iron 3cm thick .if the external diameter be 56cm and the length of the tube be 182cm,find the number of cubic cm in it .

Discussion

5437.	Tellwhether the statement is true or false:(i) Themode is always one of the numbers in a data.(ii) Themean is one of the numbers in a data.(iii) Themedian is always one of the numbers in a data.(iv) Thedata 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.
Answer» Tell whether the statement is true or false: (i) The mode is always one of the numbers in a data. (ii) The mean is one of the numbers in a data. (iii) The median is always one of the numbers in a data. (iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

5437.

Tellwhether the statement is true or false:(i) Themode is always one of the numbers in a data.(ii) Themean is one of the numbers in a data.(iii) Themedian is always one of the numbers in a data.(iv) Thedata 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Answer»

Tell
whether the statement is true or false:

(i) The
mode is always one of the numbers in a data.

(ii) The
mean is one of the numbers in a data.

(iii) The
median is always one of the numbers in a data.

(iv) The
data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Discussion

5438.	Co-ordinate of point P on a number line is -7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.
Answer» Co-ordinate of point P on a number line is $-$ 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.

Discussion

5439.	A regular polygon with each exterior angle of 18o has ______ sides.
Answer» A regular polygon with each exterior angle of 18^o has ______ sides.

Discussion

5440.	Question 2(i)State True or False.Cube of an odd number is even.
Answer» Question 2(i) State True or False. Cube of an odd number is even.

5440.

Question 2(i)State True or False.Cube of an odd number is even.

Answer»

Question 2(i)

State True or False.

Cube of an odd number is even.

Discussion

5441.	92.Prove that the sequence with nth term a+nb is always an A.P., no matters what the real numbers a abd b are. What is the common difference?
Answer» 92.Prove that the sequence with nth term a+nb is always an A.P., no matters what the real numbers a abd b are. What is the common difference?

Discussion

5442.	Give threeexamples of shapes with no line of symmetry.
Answer» Give three examples of shapes with no line of symmetry.

Discussion

5443.	Two complementary angles are in the ratio 2:3. Find the larger angle between them.
Answer» Two complementary angles are in the ratio 2:3. Find the larger angle between them.

Discussion

5444.	A parasite multiplies itself into 2 or doubles itself after every 3 minutes. What will be the number of parasites after 18 minutes?
Answer» A parasite multiplies itself into 2 or doubles itself after every 3 minutes. What will be the number of parasites after 18 minutes?

Discussion

5445.	Question 99(ii)(−2)3×(−2)6=(−2)2x−1
Answer» Question 99(ii) $(- 2)^{3} \times (- 2)^{6} = (- 2)^{2 x - 1}$

5445.

Question 99(ii)(−2)3×(−2)6=(−2)2x−1

Answer»

Question 99(ii)

$(- 2)^{3} \times (- 2)^{6} = (- 2)^{2 x - 1}$

Discussion

5446.	10. 3x - 18+ (3x-4x-6) = 4x
Answer» 10. 3x - 18+ (3x-4x-6) = 4x

Discussion

5447.	ntThe side BC of a ABC is bisected at D; O is any point in AD, BO and CO are produced to meet AC and AB at E and F respectively and AD is produced to G so that D is the mid-point of OG. Prove that AO: AG = AF: AB and FE\|\| BCn
Answer» ntThe side BC of a ABC is bisected at D; O is any point in AD, BO and CO are produced to meet AC and AB at E and F respectively and AD is produced to G so that D is the mid-point of OG. Prove that AO: AG = AF: AB and FE\|\| BCn

Discussion

5448.	Which of the following expressions does the number line represent?
Answer» Which of the following expressions does the number line represent?

Discussion

5449.	A train took 5 hours to cover 300 kilometers. Calculate the average speed of the train.
Answer» A train took 5 hours to cover 300 kilometers. Calculate the average speed of the train.

Discussion

5450.	Which of the following has an infinite number of lines of symmetry?(a) Equilateral triangle(b) Isosceles triangle(c) Regular hexagon(d) Circle
Answer» Which of the following has an infinite number of lines of symmetry? (a) Equilateral triangle (b) Isosceles triangle (c) Regular hexagon (d) Circle

Discussion

Explore topic-wise InterviewSolutions in .

What are the number of possible outcomes of tossing a coin once?

The height of the rectangle in a histogram is proportional to __________.

Which of the following correctly represents the 676 as the product of its prime power.

Question 39 In the given figure, if AB∥CD, then a) ∠2=∠3 b) ∠1=∠4 c) ∠4=∠1+∠2 d) ∠1+∠2=∠3+∠4

Simplify: 35×105×2557×65

Given any event E, its probability must be in the range of

Match the division statements with their correct answers.

Divide ₹7400 among three people A, B, C in the ratio 3:5:12

Sam has red marbles (A) and blue marbles (B), in the ratio A:B. If AB=K calculate the value of the given expression: A9÷B18

Find the value of 7ab×4ab×2ab.

In a group of students, D = {a, b, c, d, e, f} is the set of students participating in drama and M = {d, g, a, h} is the set of students participating in music.Draw Venn diagrams for the given data:The set of students participating only in drama

One meter wide path is built inside a square park of side 30 m along its sides. The remaining part of the park is covered by grass. If the total cost of covering by grass is Rs 1176, find the rate per square metre at which the park is covered by the grass.

Question 9Write True or False and justify your answer:In a triangle, the sides are given as 11cm, 12cm and 13cm. the length of the altitude is 10.25 cm corresponding to the side having 12 cm.

Question 83 (xii)Multiply the following:−7st,−1,−13st2

The length, breadth and height of a rectangular solid are in the ratio 5 : 4 : 2. If the total surface area is 1216 cm2, find the length, the breadth and the height of the solid. Also, find the volume of the solid.

The above figure shows a part of Pikachu's Bank Passbook.What is the total amount withdrawn through cash in the given period?

Three prizes are to be distributed in a quiz contest. The value of second prize is 56th of the value of first prize and the value of third prize is 45th of second prize. If the total value of three prizes is Rs.1500, find the value of each prize. (in order of 1st, 2nd &amp; 3rd)

Question 67 A train takes 2 hours to travel from Ajmer to Jaipur, which are 130km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart, if the train is travelling at the uniform speed?

If a and b are in ratio, then how are they represented symbolically?

Question 91 150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

Find the surface area of the following figure if it is folded along the dotted lines.(All the measurements are in cm).

The table below shows how much weight gym-goers have lost in a Gymkhana. Weight Lost (in pounds) Number of Gymers 3 5 7 10 4 12 8 7 10 3The mode of the given data is:

Find the value of (i)8113×57613 (ii)64−23×27−23

Find the equation of line AB.

Mark the correct alternative in each of the following:If the rational numbers -23 and 4x represent a pair of equivalent rational numbers, then x =(a) 6 (b) −6 (c) 3 (d) −3

A traingle has vertices, while a square has vertices.

Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m. The rectangular prism has a height of 34 m. What is its lateral surface area?

Why the ratio of median is 2:1?

In a nursery, 37 plants have been arranged in the first row, 35 in the second, 33 in the third and so on. If there are 5 plants in last row, how many plants are there in the nursery?

Express the following percentages in fractional form.

The value of (6−2 × 6−3) ÷ (61 × 62) = ?

Question 1 (b) Copy the figures with punched holes and find the axes of symmetry for the following: b)

15. A hollow cylindrical tube open at both ends is made of iron 3cm thick .if the external diameter be 56cm and the length of the tube be 182cm,find the number of cubic cm in it .

Tellwhether the statement is true or false:(i) Themode is always one of the numbers in a data.(ii) Themean is one of the numbers in a data.(iii) Themedian is always one of the numbers in a data.(iv) Thedata 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Co-ordinate of point P on a number line is -7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.

A regular polygon with each exterior angle of 18o has ______ sides.

Question 2(i)State True or False.Cube of an odd number is even.

92.Prove that the sequence with nth term a+nb is always an A.P., no matters what the real numbers a abd b are. What is the common difference?

Give threeexamples of shapes with no line of symmetry.

Two complementary angles are in the ratio 2:3. Find the larger angle between them.

A parasite multiplies itself into 2 or doubles itself after every 3 minutes. What will be the number of parasites after 18 minutes?

Question 99(ii)(−2)3×(−2)6=(−2)2x−1

10. 3x - 18+ (3x-4x-6) = 4x

ntThe side BC of a ABC is bisected at D; O is any point in AD, BO and CO are produced to meet AC and AB at E and F respectively and AD is produced to G so that D is the mid-point of OG. Prove that AO: AG = AF: AB and FE|| BCn

Which of the following expressions does the number line represent?

A train took 5 hours to cover 300 kilometers. Calculate the average speed of the train.

Which of the following has an infinite number of lines of symmetry?(a) Equilateral triangle(b) Isosceles triangle(c) Regular hexagon(d) Circle

Three prizes are to be distributed in a quiz contest. The value of second prize is 56th of the value of first prize and the value of third prize is 45th of second prize. If the total value of three prizes is Rs.1500, find the value of each prize. (in order of 1st, 2nd & 3rd)