19743 + Interview Questions in Mathematics Page 48 InterviewSolution

2351.	The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?59535
Answer» The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005? 59535

Discussion

2352.	How to solve (-2)⁵×(-2)³÷2¹⁰
Answer» How to solve (-2)⁵×(-2)³÷2¹⁰

Discussion

2353.	Find the amount and the compound interest on Rs 5,000 at 5% per annum for one year if the interest is payable half-yearly.(Solve without using formula)
Answer» Find the amount and the compound interest on Rs 5,000 at 5% per annum for one year if the interest is payable half-yearly. (Solve without using formula)

Discussion

2354.	Principal is 93750 rate is 9.6% time is 3 yrs . Compound interest at end of 3 yrs would be.
Answer» Principal is 93750 rate is 9.6% time is 3 yrs . Compound interest at end of 3 yrs would be.

Discussion

2355.	9. A cylindrical tank has a capacity of 6160cu cm . Find its depth if it's radius 14cm . calculate the cost of painting its curved outer surface at the rate of 3 per square metre
Answer» 9. A cylindrical tank has a capacity of 6160cu cm . Find its depth if it's radius 14cm . calculate the cost of painting its curved outer surface at the rate of 3 per square metre

Discussion

2356.	Check if 61.74 ÷ 14 is a terminating decimal.
Answer» Check if 61.74 $\div$ 14 is a terminating decimal.

Discussion

2357.

Journalise the following transactions , post them into Ledger and prepare a Trial Balance : (₹) (₹) 2018 2018 Apr. 1 Mohan commenced business with cash 1,00,000 Apr. 20 Received cash from Gopal 3,950 Apr. 3 Bought goods 5,000 Discount Allowed 50 Apr. 4 Sold goods to Gopal 4,000 Apr. 25 Paid Wages 700 Apr. 10 Bought goods from Ram 8,000 Apr. 27 Paid to Ram in full settlement 7,700 Apr. 15 Paid trade expenses 2,000 Apr. 30 Paid rent 1,500

Answer» Journalise the following transactions , post them into Ledger and prepare a Trial Balance :


		(₹)			(₹)
2018			2018
Apr. 1	Mohan commenced business with cash	1,00,000	Apr. 20	Received cash from Gopal	3,950
Apr. 3	Bought goods	5,000		Discount Allowed	50
Apr. 4	Sold goods to Gopal	4,000	Apr. 25	Paid Wages	700
Apr. 10	Bought goods from Ram	8,000	Apr. 27	Paid to Ram in full settlement	7,700
Apr. 15	Paid trade expenses	2,000	Apr. 30	Paid rent	1,500

Discussion

2358.	Which of the following documents is accepted by the banks as proof of identity?
Answer» Which of the following documents is accepted by the banks as proof of identity?

Discussion

2359.	Arectangularfield is 100m by 80m. Finh the ratio of: a) length to its breadth b) breadth to its perimeter
Answer» Arectangularfield is 100m by 80m. Finh the ratio of: a) length to its breadth b) breadth to its perimeter

2359.

Arectangularfield is 100m by 80m. Finh the ratio of: a) length to its breadth b) breadth to its perimeter

Answer»

Arectangularfield is 100m by 80m. Finh the ratio of:

a) length to its breadth b) breadth to its perimeter

Discussion

2360.	The dimensions of acuboid are 5 cm, 3 cm and 2 cm. Draw three different isometricsketches of this cuboid.
Answer» The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw three different isometric sketches of this cuboid.

Discussion

2361.	A retailer buys a cooler for Rs.1200 and overhead expenses are on it are Rs.40. if he sells the cooler for Rs.1550, Determine the profit percentage.
Answer» A retailer buys a cooler for Rs.1200 and overhead expenses are on it are Rs.40. if he sells the cooler for Rs.1550, Determine the profit percentage.

Discussion

2362.	In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC=135∘, find (∠ BOC3).
Answer» In the figure below, a ray OC extends from a point O on a straight line AB. If $∠ A O C = 135^{\circ}$ , find $(\frac{∠ B O C}{3})$ .

2362.

In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC=135∘, find (∠ BOC3).

Answer»

In the figure below, a ray OC extends from a point O on a straight line AB. If $∠ A O C = 135^{\circ}$ ,

find $(\frac{∠ B O C}{3})$ .

Discussion

2363.	James wants 57 crayons and Tom wants 68. If each crayon costs 87 cents, how much cents do they need in total? 10875
Answer» James wants $57$ crayons and Tom wants $68$ . If each crayon costs $87$ cents, how much cents do they need in total? 10875

Discussion

2364.	Question 61In the following question, fill in the blanks to make the statements true.The value of [2−1×3−1]−1 is ___
Answer» Question 61 In the following question, fill in the blanks to make the statements true. The value of $[2^{- 1} \times 3^{- 1}]^{- 1}$ is ___

2364.

Question 61In the following question, fill in the blanks to make the statements true.The value of [2−1×3−1]−1 is ___

Answer»

Question 61

In the following question, fill in the blanks to make the statements true.

The value of $[2^{- 1} \times 3^{- 1}]^{- 1}$ is ___

Discussion

2365.	When we convert 812, 34 and 45 to decimal form, the larger number is .
Answer» When we convert $\frac{8}{12}$ , $\frac{3}{4}$ and $\frac{4}{5}$ to decimal form, the larger number is .

Discussion

2366.	60. Find the maximum number of diagonals that can be drawn in n-sided polygon. Also, find number of diagonals if (a) n=12 sides (b) n=15 sides (c) Decagon
Answer» 60. Find the maximum number of diagonals that can be drawn in n-sided polygon. Also, find number of diagonals if (a) n=12 sides (b) n=15 sides (c) Decagon

Discussion

2367.	Question 104Find the multiplicative inverse of (−7)−2÷(90)−1.
Answer» Question 104 Find the multiplicative inverse of $(- 7)^{- 2} \div (90)^{- 1}$ .

2367.

Question 104Find the multiplicative inverse of (−7)−2÷(90)−1.

Answer»

Question 104

Find the multiplicative inverse of $(- 7)^{- 2} \div (90)^{- 1}$ .

Discussion

2368.	(y−20∘) and (y+30∘) are the measures of complementary angles. Find the measure of each angle.
Answer» $(y - 20^{\circ})$ and $(y + 30^{\circ})$ are the measures of complementary angles. Find the measure of each angle.

Discussion

2369.	Question 178(iii)If a = -1, b = 2, then find the value of the following.ab×ba
Answer» Question 178(iii) If a = -1, b = 2, then find the value of the following. $a^{b} \times b^{a}$

2369.

Question 178(iii)If a = -1, b = 2, then find the value of the following.ab×ba

Answer»

Question 178(iii)

If a = -1, b = 2, then find the value of the following.

$a^{b} \times b^{a}$

Discussion

2370.	Draw a circle and color 16 th part of it.
Answer» Draw a circle and color $\frac{1}{6}$ th part of it.

Discussion

2371.	Question 12Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
Answer» Question 12 Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?

Discussion

2372.	(−100)÷(−10)= ?
Answer» $(- 100) \div (- 10) = ?$

Discussion

2373.	Two squares of same size are joined together to make a single square of area 32 sq.cm. Find the length of each side of the small square.
Answer» Two squares of same size are joined together to make a single square of area 32 sq.cm. Find the length of each side of the small square.

Discussion

2374.	Take any integer for a :Then what would be -1×a
Answer» Take any integer for a :Then what would be -1×a

Discussion

2375.	Simplify (y²-y-1)-(½(x-1+2x))
Answer» Simplify (y²-y-1)-(½(x-1+2x))

2375.

Simplify (y²-y-1)-(½(x-1+2x))

Answer»

Simplify

(y²-y-1)-(½(x-1+2x))

Discussion

2376.	Question 1(d)Determine if the following are in proportion:32, 48, 70, 210
Answer» Question 1(d) Determine if the following are in proportion: 32, 48, 70, 210

2376.

Question 1(d)Determine if the following are in proportion:32, 48, 70, 210

Answer»

Question 1(d)

Determine if the following are in proportion:

32, 48, 70, 210

Discussion

2377.	Person A is traveling at 60 km/hr whereas person B is traveling at 25 m/s. Who is faster? [2 MARKS]
Answer» Person A is traveling at 60 km/hr whereas person B is traveling at 25 m/s. Who is faster? [2 MARKS]

Discussion

2378.

Sure Ltd. purchased a running business from M/s. Rai Brothers for a sum of ₹ 15,00,000 payable ₹ 12,00,000 in fully paid shares of ₹ 10 each and balance through cheque.The assets and liabilities consisted of the following: Plant and Machinery ₹ 4,00,000 Stock ₹ 4,00,000 Building ₹ 4,00,000 Cash ₹ 3,00,000 Sundry Debtors ₹ 3,00,000 Sundry Creditors ₹ 2,00,000 You are required to pass necessary Journal entries in the company's books.

Answer» Sure Ltd. purchased a running business from M/s. Rai Brothers for a sum of ₹ 15,00,000 payable ₹ 12,00,000 in fully paid shares of ₹ 10 each and balance through cheque.

The assets and liabilities consisted of the following:

Plant and Machinery	₹ 4,00,000	Stock	₹ 4,00,000
Building	₹ 4,00,000	Cash	₹ 3,00,000
Sundry Debtors	₹ 3,00,000	Sundry Creditors	₹ 2,00,000

You are required to pass necessary Journal entries in the company's books.

Discussion

2379.	Shape of IF4+
Answer» Shape of IF4+

Discussion

2380.	In the process of construction of 45∘, which angle (in degrees) would be constructed first?90
Answer» In the process of construction of $45^{\circ}$ , which angle (in degrees) would be constructed first? 90

Discussion

2381.	If aarein A.P., prove that a, b, c are in A.P.
Answer» If aare in A.P., prove that a, b, c are in A.P.

Discussion

2382.	find the square root of 327184 by long division method
Answer» find the square root of 327184 by long division method

Discussion

2383.	Question 4 (iii)Construct the following angles and verify by measuring them by a protractor:(iii) 135∘
Answer» Question 4 (iii) Construct the following angles and verify by measuring them by a protractor: (iii) $135^{\circ}$

Discussion

2384.

Following table shows the points of each player scored in four games: Player Game 1 Game 2 Game 3 Game 4 A 14 16 10 10 B 0 8 6 4 C 8 11 Did not play 13 Now answer the following questions:(i) Find the mean to determine A’s average number of points scored per game.(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?(iii) B played in all the four games. How would you find the mean?(iv) Who is the best performer?

Answer»

Following table shows the points of each player scored in four games:

Player	Game 1	Game 2	Game 3	Game 4
A	14	16	10	10
B	0	8	6	4
C	8	11	Did not play	13

Now answer the following questions:

(i) Find the mean to determine A’s average number of points scored per game.

(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?

(iii) B played in all the four games. How would you find the mean?

(iv) Who is the best performer?

Discussion

2385.	Question 89 (xi)Factorise the following, using the identity, a2+2ab+b2=(a+b)29x2+24x+16
Answer» Question 89 (xi) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $9 x^{2} + 24 x + 16$

Discussion

2386.	Bamboo grows at a rate of 36 inches/day, it's height on a certain day is 1 feet, then it's height(in feet) after 6 days is .
Answer» Bamboo grows at a rate of $36 inches/day$ , it's height on a certain day is $1 feet$ , then it's height(in feet) after $6$ days is .

Discussion

2387.	An employee saves 12% of his salary. If he receives ₹15900 per month as his salary, then find his monthly expenditure.
Answer» An employee saves 12% of his salary. If he receives ₹15900 per month as his salary, then find his monthly expenditure.

Discussion

2388.	I have 1, 2 and 5 coins. The total number of coins of 1, 2 and 5 all put together are 85. Also, the sum of amount formed from 1 coins and 5 coins is equal to amount formed from 2 coins. If the number of 5 coins is twice the number of 1 coins, then the number of 2 coins is?
Answer» I have 1, 2 and 5 coins. The total number of coins of 1, 2 and 5 all put together are 85. Also, the sum of amount formed from 1 coins and 5 coins is equal to amount formed from 2 coins. If the number of 5 coins is twice the number of 1 coins, then the number of 2 coins is?

Discussion

2389.	Find the value of angle which is complementary to itself. [1 MARK]
Answer» Find the value of angle which is complementary to itself. [1 MARK]

Discussion

2390.	The diameter of a circle is 5.6 cm. Find its circumference.
Answer» The diameter of a circle is 5.6 cm. Find its circumference.

Discussion

2391.	Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then, the value of mn ?___
Answer» Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue. Then, the value of $\frac{m}{n}$ ?___

Discussion

2392.	Simplify the rational number 156144.
Answer» Simplify the rational number $\frac{156}{144} .$

Discussion

2393.	Show that the square of any positive integer is of the form 5k,5k+1 or 5k+4 for some integer k
Answer» Show that the square of any positive integer is of the form 5k,5k+1 or 5k+4 for some integer k

Discussion

2394.	Construct a triangle ABC in which AB = 5.8cm, BC + CA = 8.4 cm and ∠B=60∘.
Answer» Construct a triangle ABC in which AB = 5.8cm, BC + CA = 8.4 cm and $∠ B = 60^{\circ}$ .

Discussion

2395.	If a = 2 and b = 3, find the value of ab.
Answer» If a = 2 and b = 3, find the value of $a^{b}$ .

Discussion

2396.	Find the value of x.438÷10 = x R 8
Answer» Find the value of x. $438 \div 10$ = x R 8

Discussion

2397.	A five letter word is to be formed such that the letters appearing in the odd positions are taken from the unrepeated letters of the word MATHEMATICS whereas the letters which occupy even places are taken from amongst the repeated letters.___
Answer» A five letter word is to be formed such that the letters appearing in the odd positions are taken from the unrepeated letters of the word MATHEMATICS whereas the letters which occupy even places are taken from amongst the repeated letters.___

Discussion

2398.

If Show that (X ∪ Y) ∪ Z = X ∪ (Y ∪ Z)

Answer»

If

Show that (X ∪ Y) ∪ Z = X ∪ (Y ∪ Z)

Discussion

2399.	ntA boy runs for 10 mins at a uniform speed of 9 km/h. At what speed should he run for the next 20 mins so that the average speed comes to 12 km/h?n
Answer» ntA boy runs for 10 mins at a uniform speed of 9 km/h. At what speed should he run for the next 20 mins so that the average speed comes to 12 km/h?n

Discussion

2400.	The cost of 4 pieces of book sticker is ₹1. What is the cost of one book sticker (in paise)?25
Answer» The cost of 4 pieces of book sticker is ₹1. What is the cost of one book sticker (in paise)? 25

Discussion

Explore topic-wise InterviewSolutions in .

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?59535

How to solve (-2)⁵×(-2)³÷2¹⁰

Find the amount and the compound interest on Rs 5,000 at 5% per annum for one year if the interest is payable half-yearly.(Solve without using formula)

Principal is 93750 rate is 9.6% time is 3 yrs . Compound interest at end of 3 yrs would be.

9. A cylindrical tank has a capacity of 6160cu cm . Find its depth if it's radius 14cm . calculate the cost of painting its curved outer surface at the rate of 3 per square metre

Check if 61.74 ÷ 14 is a terminating decimal.

Which of the following documents is accepted by the banks as proof of identity?

Arectangularfield is 100m by 80m. Finh the ratio of: a) length to its breadth b) breadth to its perimeter

The dimensions of acuboid are 5 cm, 3 cm and 2 cm. Draw three different isometricsketches of this cuboid.

A retailer buys a cooler for Rs.1200 and overhead expenses are on it are Rs.40. if he sells the cooler for Rs.1550, Determine the profit percentage.

In the figure below, a ray OC extends from a point O on a straight line AB. If ∠AOC=135∘, find (∠ BOC3).

James wants 57 crayons and Tom wants 68. If each crayon costs 87 cents, how much cents do they need in total? 10875

Question 61In the following question, fill in the blanks to make the statements true.The value of [2−1×3−1]−1 is ___

When we convert 812, 34 and 45 to decimal form, the larger number is .

60. Find the maximum number of diagonals that can be drawn in n-sided polygon. Also, find number of diagonals if (a) n=12 sides (b) n=15 sides (c) Decagon

Question 104Find the multiplicative inverse of (−7)−2÷(90)−1.

(y−20∘) and (y+30∘) are the measures of complementary angles. Find the measure of each angle.

Question 178(iii)If a = -1, b = 2, then find the value of the following.ab×ba

Draw a circle and color 16 th part of it.

Question 12Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?

(−100)÷(−10)= ?

Two squares of same size are joined together to make a single square of area 32 sq.cm. Find the length of each side of the small square.

Take any integer for a :Then what would be -1×a

Simplify (y²-y-1)-(½(x-1+2x))

Question 1(d)Determine if the following are in proportion:32, 48, 70, 210

Person A is traveling at 60 km/hr whereas person B is traveling at 25 m/s. Who is faster? [2 MARKS]

Shape of IF4+

In the process of construction of 45∘, which angle (in degrees) would be constructed first?90

If aarein A.P., prove that a, b, c are in A.P.

find the square root of 327184 by long division method

Question 4 (iii)Construct the following angles and verify by measuring them by a protractor:(iii) 135∘

Question 89 (xi)Factorise the following, using the identity, a2+2ab+b2=(a+b)29x2+24x+16

Bamboo grows at a rate of 36 inches/day, it's height on a certain day is 1 feet, then it's height(in feet) after 6 days is .

An employee saves 12% of his salary. If he receives ₹15900 per month as his salary, then find his monthly expenditure.

I have 1, 2 and 5 coins. The total number of coins of 1, 2 and 5 all put together are 85. Also, the sum of amount formed from 1 coins and 5 coins is equal to amount formed from 2 coins. If the number of 5 coins is twice the number of 1 coins, then the number of 2 coins is?

Find the value of angle which is complementary to itself. [1 MARK]

The diameter of a circle is 5.6 cm. Find its circumference.

Simplify the rational number 156144.

Show that the square of any positive integer is of the form 5k,5k+1 or 5k+4 for some integer k

Construct a triangle ABC in which AB = 5.8cm, BC + CA = 8.4 cm and ∠B=60∘.

If a = 2 and b = 3, find the value of ab.

Find the value of x.438÷10 = x R 8

A five letter word is to be formed such that the letters appearing in the odd positions are taken from the unrepeated letters of the word MATHEMATICS whereas the letters which occupy even places are taken from amongst the repeated letters.___

If Show that (X ∪ Y) ∪ Z = X ∪ (Y ∪ Z)

ntA boy runs for 10 mins at a uniform speed of 9 km/h. At what speed should he run for the next 20 mins so that the average speed comes to 12 km/h?n

The cost of 4 pieces of book sticker is ₹1. What is the cost of one book sticker (in paise)?25